SMC - KOMUNITAS JELAJAH NALAR https://jelajahnalar.com/community/kompetisi-matematika-2-smc/ JELAJAH NALAR Discussion Board id Sat, 11 Jul 2026 18:53:20 +0000 wpForo 60 SMC 2023 - Grade 10, 11, 12 https://jelajahnalar.com/community/kompetisi-matematika-2-smc/smc-2023-grade-10-11-12/ Sat, 27 Jun 2026 01:39:02 +0000

  1. Find the Lowest Common Multiple of 315 and 78.
  2. In a video game competition with 15 rounds:
    - Each victory awards the player 2 points.
    - For each defeat, 1 point is deducted.
    - If a player decides to skip a round, 0.4 points are deducted.
    Michael participated in the competition and won 7 rounds, lost 3 rounds, and decided to skip 5 rounds. How many points did he score?
  3. Without the use of calculators, estimate the value of $\sqrt{442}-\sqrt{65}$.
  4. $$3.5\text{ : }\frac{27}{4}=x\text{ : }y,$$ where π‘₯ ∢ 𝑦 is a ratio in the simplest form. Find the value of 𝑦 βˆ’ π‘₯.
  5. When $13π‘₯^3 βˆ’ 23π‘₯$ is subtracted from $31π‘₯^3 βˆ’ 13π‘₯ + 27$, the result is $π‘Žπ‘₯^3 + 𝑏π‘₯ + 𝑐$. Find the sum of π‘Ž, 𝑏 and 𝑐.
  6. Given the linear function $\frac{5}{3}$𝑦 βˆ’ 15π‘₯ = 25, find the sum of its gradient and 𝑦-intercept.
  7. 𝐴𝐡𝐢 is a straight line. Find the value of 100𝑦. Give your answer correct to the nearest integer.
  8. 𝑃 is the point (βˆ’2, 8) and 𝑄 is the point (π‘₯, 3).
    $\overrightarrow{PQ}=\binom{-11}{y}.$
    Find the value of 𝑦 βˆ’ π‘₯.
  9. At a 24-hour cafe, the kitchen staff can prepare 12 burgers in 20 minutes. How many burgers can the cafe prepare in 24 hours?
  10. It is given that π‘š is inversely proportional to the square of 𝑛. It is known that π‘š = 270 for a particular value of 𝑛. Find the value of π‘š when this value of 𝑛 is tripled.
  11. Emma bought a unique piece of artwork for $\$$2075. She sold it at a discount of 17% on the marked price and made a profit of 60% on the cost price. Find the marked price, in dollars.
  12. In the sequence below, 𝑝 is the largest two-digit prime number. Find the value of 𝑝. $$βˆ’30, βˆ’23, βˆ’16, βˆ’9, βˆ’2, …$$
  13. In a school fundraiser, Emily raised 40% as much money as her friend Sarah. Sarah collected 150% as much money as her younger sister, Lily. Emily raised 𝑝% as much money as Lily. Find the value of 𝑝.
  14. Sets 𝐴, 𝐡 and 𝐢 are defined as follows:
    𝐴 = {π‘₯: π‘₯ 𝑖𝑠 π‘Žπ‘› π‘–π‘›π‘‘π‘’π‘”π‘’π‘Ÿ}
    𝐡 = {π‘₯: π‘₯ 𝑖𝑠 π‘Ž π‘π‘Ÿπ‘–π‘šπ‘’ π‘›π‘’π‘šπ‘π‘’π‘Ÿ}
    𝐢 = {π‘₯: π‘₯ 𝑖𝑠 π‘Ž π‘“π‘Žπ‘π‘‘π‘œπ‘Ÿ π‘œπ‘“ 4620}
    Find 𝑛(𝐴 ∩ 𝐡 ∩ 𝐢).
  15. Given that $\frac{9}{x+7}+\frac{13}{x-5}=\frac{ax+b}{x^2+2x+c}$. Find the sum of $a,b$ and $c$.
  16. Tom is practising his basketball free throws every day until he succeeds. The probability of him making a successful free throw each day is $\frac{3}{4}$. Given that the probability that Tom makes a successful free throw either on the first day or the second day is $\frac{π‘Ž}{𝑏}$, find the sum of π‘Ž and 𝑏.
  17. In an π‘˜-sided polygon, the size of each interior angle is 156Β°. Find the value of π‘˜.
  18. It is given that βˆ’6 < π‘š ≀ 3 and βˆ’5 ≀ 𝑛 < 6, where π‘š and 𝑛 are integers. Find the greatest possible value of $4π‘š^2 + 25𝑛^2$ βˆ’ 12π‘š βˆ’ 70𝑛 + 70.
  19. The straight line 12𝑦 + 18π‘₯ βˆ’ 180 = 0 intersects the $x$-axis and $y$-axis at (π‘Ž, 𝑏) and (𝑐, 𝑑) respectively. Find the sum of π‘Ž, 𝑏, 𝑐 and 𝑑.
  20. In a right-angled triangle 𝐴𝐡𝐢 below, 𝐴𝐡 = 18, ∠𝐢𝐴𝐡 = 75° and 𝐡𝐷 is a median. Find the length of 𝐴𝐷. Round off the answer to the nearest integer.
  21. Given that $π‘š^2 βˆ’ 𝑛^2 = 495, π‘š^2 βˆ’ 2π‘šπ‘› + 𝑛^2 = 1089, π‘š > 0$ and 𝑛 < 0, find the value of $π‘š^2 + 𝑛^2$.
  22. The lines $𝑦 = βˆ’2π‘₯ + 8$ and $𝑦 = \frac{1}{2}π‘₯ βˆ’ 2$ meet at (4, 0), as shown. What is the area of the triangle formed by these two lines and the line π‘₯ = βˆ’2?
  23. Three fair dice are rolled and the product of the numbers obtained is recorded. The probability that the product is not a prime number is $\frac{π‘Ž}{𝑏}$, where $\frac{π‘Ž}{𝑏}$ is in the simplest form. Find the value of π‘Ž + 𝑏.
  24. A car leaves from city A on a bearing of 320° towards city B. From city B, it travels to city C which is 40 km away. After resting for half an hour, the car travels again to city D, which is due north of city B. The figure below shows the route taken by the car. Given that ∠𝐴𝐡𝐢 = 100° and ∠𝐡𝐢𝐷 = 30°, what is the measurement of ∠𝐡𝐷𝐢, in degrees?
  25. A metal cone of a base radius of 10 cm and height of 40 cm is melted and cast into a sphere. Find the surface area of the sphere, in square centimetres. Round off the answer to the nearest integer.
  26. The mean, median, mode and range of 5 integers are 69, 83, 85 and 70, respectively. What is the second smallest of the five integers?
  27. The table below shows the number of toys that 60 children purchased in a store.

    If the median is given to be 4.5, find the mean of this distribution. Round your answer to the nearest integer.
  28. In the cube below, the diagonals of the face intersect at point Q and R is a vertex. Given that the length of the edge is 2, find the length of QR. Round off the answer to the nearest integer.
  29. In the diagram, 𝐴𝐡𝐢 is a straight line.
    $\overrightarrow{BA}=14b,\overrightarrow{CA}=21a,\overrightarrow{DA}=xa+yb$ and 𝐢𝐷 ∢ 𝐷𝐡 = 5 ∢ 2. Find the value of π‘₯ + 𝑦.
  30. In the diagram below, square ABCD with side length 2 is inscribed in a circle. Semicircular arcs are drawn on each side of the square. What is the area of the shaded region outside the circle and inside the semi-circles?
  31. Givent that π‘Ž and 𝑏 are integers, find the value of π‘Ž + 𝑏.
  32. Cylindrical container A has a height of 15 metres and a radius of 4 metres. Cylindrical container B has a height of 7 metres and a radius of 6 metres. Tom filled container A with water to its brim and then transferred the water from container A to container B until both containers had the same depth of water. Given that container B was empty at first, what was the depth of water in each container, in metres, after the transfer? Round your answer to the nearest integer.
  33. If the mean of the data set below is 2, find the median of the data. $$π‘Ž^2 βˆ’ 22π‘Ž + 6, 7, 2π‘Ž βˆ’ 13, 10π‘Ž + 18, 17$$
  34. The area of the square base of a pyramid is 1440 $\text{cm}^2$. The triangular faces of the pyramid are identical and each has an area of 840 $\text{cm}^2$. What is the height of the pyramid, in cm?
  35. Find the value of 𝑛.

]]> SMC Admin dot https://jelajahnalar.com/community/kompetisi-matematika-2-smc/smc-2023-grade-10-11-12/ SMC 2023 - Grade 9 https://jelajahnalar.com/community/kompetisi-matematika-2-smc/smc-2023-grade-9/ Sat, 27 Jun 2026 00:54:46 +0000

  1. When expressed as a product of its prime factors, 18200 = $2^π‘Ž Γ— 5^𝑏 Γ— 7^𝑐 Γ— 𝑑$. Find the value of π‘Ž + 𝑏 + 𝑐 + 𝑑.
  2. A map is drawn to a scale of 1 : 2700. What is the distance, in cm, between two buildings on the map which are 6750 metres apart?
  3. $15π‘₯^2 + 14π‘₯ βˆ’ 8$ can be expressed as (π‘Žπ‘₯ + 𝑏)(𝑐π‘₯ + 𝑑), where π‘Ž, 𝑏, 𝑐 and 𝑑 are constants. Find the value of π‘Ž + 𝑏 + 𝑐 + 𝑑.
  4. The length of the diagonal of the square is 95 cm. What is the length of a side of the square, in cm? Round off the answer to the nearest integer.
  5. Solve the equation 5π‘₯ βˆ’ 17 = 39 βˆ’ 2π‘₯.
  6. Estimate the value of $(\sqrt{226.5} βˆ’ 5.7)^2$, correct to 1 significant figure.
  7. π‘š is the largest integer and 𝑛 is the smallest integer satisfying $$-2\le\frac{6+2y}{5}<4$$ Find the value of π‘š βˆ’ 𝑛.
  8. When Tom sold his toy for $\$$225, he incurred a loss of 25%. At what price should he have sold the toy to make a 37% profit instead? Round off the answer to the nearest integer.
  9. Given the sequence: $$4, 11, 30, 67, 128, π‘š, 𝑛, …$$ Find the sum of π‘š and 𝑛.
  10. In parallelogram 𝐴𝐡𝐢𝐷 below, 𝐴𝐸 is perpendicular to 𝐷𝐢 and 𝐷𝐹 is perpendicular to 𝐡𝐢. If 𝐴𝐷 = 10, 𝐢𝐷 = 15 and 𝐴𝐸 = 6, find the length of 𝐷𝐹.
  11. Amy and Ben live in different cities, and they are in different time zones. When it is 6:00 AM on June 1st in Ben's city, it is 10:30 PM on May 31st in Amy's city. Amy decides to take a train from her city to Ben's city. The train departs from Amy's city at 11:20 PM on June 1st and arrives in Ben's city at 9:05 AM on June 2nd. The distance covered during the train journey is 850 kilometres. What was the average speed of the train, in km/h, during this journey? Give your answer correct to the nearest integer.
  12. The sum of three consecutive even numbers is 1386. Find the largest number among these 3 numbers.
  13. In the figure, 𝐴𝐡, 𝐢𝐷, and 𝐸𝐹 are straight lines. Find the value of π‘₯.
  14. Given that π‘š is a positive number, find the value of π‘š if 1 : π‘š = 2π‘š : 288.
  15. 5π‘š + 3𝑛 = $\frac{7-2m}{n}$ can be expressed as π‘š = $\frac{an^2+bn+c}{dn+e}$. If π‘Ž < 0 and π‘š is fraction in simplest form. Find the value of π‘Ž + 𝑏 + 𝑐 + 𝑑 + 𝑒.
  16. Solve the equation $\frac{81}{3^{3-a}}+7^3=2530$.
  17. The line 𝑇 has a gradient of βˆ’18. It intersects the positive 𝑦-axis at point 𝑀 and the positive π‘₯-axis at point 𝑁. The area of triangle 𝑂𝑀𝑁 is 36 $\text{units}^2$. Find the length of 𝑀𝑁. Give your answer correct to the nearest integer.
  18. Solve the simultaneous equations and find the sum of π‘Ž + 𝑏. $$\frac{4}{3}a+7b=239$$ $$\frac{23}{3}a-466=3b$$
  19. A quadratic graph has the line of symmetry π‘₯ = 10.5. It passes through points (1, 7) and (π‘Ÿ, 7). Find the value of π‘Ÿ.
  20. Find the smallest positive integer value of π‘š for which 700π‘š is a multiple of 125.
  21. In the cube below, the diagonals of the face intersect at point Q and R is a vertex. Given that the length of the edge is 4, find the length of QR. Round off the answer to the nearest integer.
  22. Given that $m=\frac{3n+7}{5-3n}$, when $n$ is the expressed in terms of $m,n=\frac{am+b}{cm+d}$. Find the sum of $a,b,c$ and $d$.
  23. The π‘₯-coordinates of the points of intersection of the graphs $𝑦 = π‘šπ‘₯ + 𝑛$ and $𝑦 = 3π‘₯^2 βˆ’ 7π‘₯ + 2$ are the solutions to the equation $π‘₯^2 βˆ’ 6π‘₯ βˆ’ 13 = 0$. Find the value of $π‘š + 𝑛$.
  24. There are some blue, white and orange socks in a drawer. A sock is randomly chosen.
    - The probability that the sock is blue or white is $\frac{4}{7}$.
    - The probability that the sock is white is $\frac{9}{28}$.
    - The probability that the sock is blue or orange is $\frac{m}{n}$, where the fraction $\frac{m}{n}$ is in the simplest form.
    Find the value of π‘š + 𝑛.
  25. An 𝑛-gon is such that 4 of its interior angles are each equal to 105Β° and the remaining interior angles are each equal to 170Β°. Find the value of 𝑛.
  26. A data set has eight integer data values: 5, 12, 11, 3, 2, π‘š, 𝑛 and 10, where π‘š < 𝑛. The mean is 7.75, the median is 8 and there is no mode. Find the value of π‘š + 3𝑛.
  27. Given that $π‘šπ‘› = 4$ and $π‘š^2 + 𝑛^2 = 41$, find the value of $(π‘š + 𝑛)^4$.
  28. In the diagram below, square ABCD with side length 4 is inscribed in a circle. Semicircular arcs are drawn on each side of the square. What is the area of the shaded region outside the circle and inside the semi-circles?
  29. $$\sqrt{56+\sqrt{56+\sqrt{56+\sqrt{56+\cdots}}}}=x$$ Find the value of π‘₯.
  30. In right-angled triangle 𝐴𝐡𝐢, point 𝐷 is on side 𝐡𝐢 and 𝐴𝐡 = 10 cm, 𝐴𝐢 = 20.6 π‘π‘š, 𝐴𝐷 = 11.7 cm. Find the length of 𝐷𝐢 in cm, leaving the answer to the nearest integer.
  31. Cylindrical container A has a height of 10 metres and a radius of 4 metres. Cylindrical container B has a height of 7 metres and a radius of 6 metres. Tom filled container A with water to its brim and then transferred the water from container A to container B until both containers had the same depth of water. Given that container B was empty at first, what was the depth of water in each container, in metres, after the transfer? Round off the answer to the nearest integer.
  32. The area of the square base of a pyramid is 2880 $\text{cm}^2$. The triangular faces of the pyramid are identical and each has an area of 840 $\text{cm}^2$. What is the height of the pyramid, in cm? Round off the answer to the nearest integer.
  33. The table below shows the number of toys that 100 children purchased in a store.

    If the median is given to be 5.5, find the mean of this distribution. Round your answer to the nearest integer.
  34. In triangle 𝐴𝐡𝐢 below, 𝐴𝐡 = 10 m, ∠𝐴𝐢𝐡 = 65Β° and ∠𝐢𝐴𝐡 = 40Β°, find the area of βˆ†π΄π΅πΆ. Round off the answer to the nearest integer.
  35. In the diagram below, three identical small circles of radius 10 are tangent to each other and the rectangle, as shown. The rectangle is inscribed in a large circle as shown. What is the area of the large circle, in cm? Round off the answer to the nearest integer.

]]> SMC Admin dot https://jelajahnalar.com/community/kompetisi-matematika-2-smc/smc-2023-grade-9/ SMC 2023 - Grade 8 https://jelajahnalar.com/community/kompetisi-matematika-2-smc/smc-2023-grade-8/ Fri, 26 Jun 2026 09:22:41 +0000

  1. The length of the diagonal of the square is 80 cm. What is the length of a side of the square, in cm? Round off the answer to the nearest integer.
  2. How many perfect squares satisfy the inequality below? $$\frac{7-3x}{5}\ge -11$$
  3. The current ages of Tom and Harry are (2π‘₯ + 3𝑦) and (5π‘₯ βˆ’ 9𝑦), respectively. Five years ago, the sum of their ages was (π‘Žπ‘₯ + 𝑏𝑦 + 𝑐). Find the value of (π‘Ž βˆ’ 𝑏 + 𝑐).
  4. Simplify: $$\frac{32.8\times 32.8+2\times 32.8\times 67.2+67.2\times 67.2}{10}$$
  5. If an interior angle of a regular polygon with 𝑛 sides is 1500, how many sides does the polygon have?
  6. Harry bought a bicycle for $\$$450 and he spent $\$$80 on its repair. If he sold the cycle for $\$$600, how much percentage profit did he make? Round off the answer to the nearest integer.
  7. Find the 100th term in the sequence below. $$2, 5, 8, 11, 14, …$$
  8. A map is drawn to a scale of 1 : 2700. What is the distance, in cm, between two buildings on the map which are 9450 metres apart?
  9. Alan can finish a project in 15 days. Ben can finish the same project in 20 days. In how many days can they finish $\frac{7}{12}$ of the project if they work on it together?
  10. It is given that π‘š is inversely proportional to the square of 𝑛. It is known that π‘š = 270 for a particular value of 𝑛. Find the value of π‘š when this value of 𝑛 is tripled.
  11. A sphere of radius 4 cm is melted and recast into smaller spheres of radii 2 cm each. How many such smaller spheres can be made?
  12. Segment AB is parallel to segment EF and segment AC is parallel to DE. If the ∠BAC = 113°, what is the value (in degrees) of ∠DEF?
  13. The sum of two numbers is 204 and their product is 68. Find the sum of their reciprocals.
  14. Estimate the value of the expression below. Round off the answer to the nearest integer. $$\frac{\sqrt{7}+\sqrt{3}}{\sqrt{7}-\sqrt{3}}$$
  15. The graph of the curve $𝑦 = 5π‘₯^2 βˆ’ π‘˜π‘₯ + 32$ intersects the π‘₯-axis at π‘₯ = 4. Find the value of π‘˜.
  16. If $y=x+\frac{3}{2}$ and $x=\frac{(yz+\frac{1}{B})}{z}$, find the value of $\frac{1}{B^2}$.
  17. If π‘₯:𝑦 = 7:5, find the value of $\frac{(x^3+y^3)}{x^3-y^3)}$. Round off the answer to the nearest integer.
  18. There are some blue, white and orange socks in a drawer. A sock is randomly chosen.
    - The probability that the sock is blue or white is $\frac{4}{7}$.
    - The probability that the sock is white is $\frac{9}{28}$.
    - The probability that the sock is blue or orange is $\frac{π‘š}{𝑛}$, where the fractionπ‘šπ‘šπ‘›π‘› is in the simplest form.
    Find the value of π‘š + 𝑛.
  19. Given that π‘šπ‘› = 4 and $π‘š^2 + 𝑛^2 = 41$, find the value of $(π‘š + 𝑛)^2$.
  20. A train travelled from station A to station B at a speed of 60 km/h. The train travelled from station B to station A at a speed of 80 km/h. What is the average speed (in km/h) of the train for the whole journey? Round off the answer to the nearest integer.
  21. Two inlet pipes can fill up an empty water tank in 2 hours and 4 hours, respectively. An outlet pipe can empty the same tank filled fully by with water tank in 8 hours. If all the pipes are turned on at the same time, how many minutes will it take to fill up the empty water tank fully?
  22. If $\frac{6}{(x^2-4)}-\frac{1}{(x+2)}+\frac{1}{(x-2)}=2\frac{(px+q)}{(x^2-4)}$, find the value of $p^2+q^2$.
  23. If $2^{π‘₯βˆ’5𝑦} = 𝑝^{5π‘Ž}$ and $2^{2π‘₯+7π‘¦βˆ’238} = 𝑝^{10π‘Ž}$ where 𝑝 β‰  0, find the value of 𝑦.
  24. The ratio of two positive integers is 2 : 3 and their Lowest Common Multiple is 174. Find the sum of the two numbers.
  25. If $\frac{1}{(x-y)(y-z)}+\frac{1}{(y-z)(z-x)}+\frac{1}{(z-x)(x-y)}=p-3$, then find the value of $p$.
  26. In right-angled triangle ABC, angle A is the right angle and AD is the height. If AD = 4, find the value of BD Γ— CD.
  27. When $(π‘₯^2 – 𝑏π‘₯ + 𝑐)$ is divided by $(π‘₯ + 1)$, the quotient is $(π‘₯ βˆ’ 2)$ and the remainder is βˆ’7. Find the values of 𝑏 βˆ’ 𝑐.
  28. The original price of a book is increased by 10% and then decreased by 10%. If the original price of the book is $\$$1300, what is the current price?
  29. If the two digits of a two-digit number are reversed, the new 2-digit number is increased by 9. If the sum of the digits is 17, find the original number.
  30. The area of an equilateral triangle is $25\sqrt{3}\text{ cm}^2$ . Find the side length of the triangle, in cm.
  31. The point 𝑃(1,1) is rotated about the origin O in the anti-clockwise direction with OP as the radius by 180Β°. If R is its new position and the slope of line RO is π‘š = tan 𝛼° and 𝛼° is an acute angle, find the value of (m + Ξ±).
  32. The areas of two similar triangles are 90$\text{ cm}^2$ and 360$\text{ cm}^2$. The sum of their perimeters is 36 cm. What is the positive difference between their perimeters?
  33. A car travelled a distance of 240 km at a certain uniform speed. If its speed was increased by 20 km/h, it would have taken 1 hour less to cover the same distance. What is the original speed of the car, in km/h?
  34. If the mean of the data set below is 2, find the median of the data. $$a^2-22a+6,7,2a-13,10a+18,17$$
  35. (π‘₯ βˆ’ 2) is a factor of $π‘₯^2 βˆ’ π‘˜π‘₯ + π‘š$ and $(π‘₯ βˆ’ 1)$ is a factor of $π‘₯^2 βˆ’ π‘˜π‘₯ + π‘š + 5$. What is the value of π‘˜ βˆ’ π‘š?

]]> SMC Admin dot https://jelajahnalar.com/community/kompetisi-matematika-2-smc/smc-2023-grade-8/ SMC 2023 - Grade 7 https://jelajahnalar.com/community/kompetisi-matematika-2-smc/smc-2023-grade-7/ Fri, 26 Jun 2026 07:55:36 +0000

  1. Given the equation 20π‘₯ βˆ’ + 5π‘₯ = π‘š(𝑠π‘₯ + 𝑑𝑦), π‘š > 3 and π‘š, 𝑠, and 𝑑 are integers, find the sum of π‘š, 𝑠, and 𝑑.
  2. Find the smallest possible integer π‘š such that 120π‘š is a perfect square.
  3. Consider a sequence where the 𝑛-π‘‘β„Ž term is given by $𝑇_𝑛 = (3𝑛 + 2)^3$. Find the difference between the 6th and 5th term of the sequence.
  4. A sum of money was divided among Alice, Bob, and Carol in the ratio of 7:3:10. If Bob received $\$$80 less than Carol, find the average amount of money received per person, in dollars. Round off the answer to the nearest integer.
  5. Emily, travelling at an average speed of 5 km/h, takes 40 minutes to walk to the library. If she left her house for the library at 08:30 AM, calculate the average speed, in m/s, at which she must travel if she is to reach the library by 09:00 AM. Round off the answer to the nearest integer.
  6. Find the gradient of the graph shown. Round off the answer to the nearest integer.
  7. Given that βˆ’5 ≀ π‘₯ ≀ 3, 3 ≀ 𝑦 < 15 and 2 ≀ 𝑧 ≀ 10, and π‘₯, 𝑦, and 𝑧 are natural numbers, find the smallest value of $𝑀 = 4π‘₯^3 βˆ’ 2𝑦^2 + 3𝑧^4$. If 𝑀 is negative number, express your answer of 𝑀 as a positive integer.
  8. Estimate $\frac{\sqrt{125}+5.5552}{3.33\times 4.444}$ and round off the answer to the nearest integer.
  9. Solve the equation: $$36(x+\frac{9}{2})+24(x+3)=120x$$ Round off the answer to the nearest integer.
  10. The diagram shows an isosceles triangle where 𝑃𝑄 = 𝑅𝑄. Find the value of π‘₯. Round off the answer to the nearest integer.
  11. In 2022, a company spent 25% of its budget on research, 15 on marketing, and 10% of the remaining budget on employee benefits. The total expenditure was $\$$4,689,000. In 2023, the company's budget increased by 20% . The total expenditure on research, marketing, and employee benefits increased by 18%. If the marketing budget increased by 15%, and the spending on employee benefits decreased by 8%, by what percentage did the spending on research change? Round the answer to the nearest percentage.
  12. A cyclist rides from Point 𝑋 to Point π‘Œ at an average speed of 𝑣 km/h for 30 minutes. She then rides back from Point π‘Œ to Point 𝑋 at an average speed of 𝑀 km/h. The ratio 𝑣 : 𝑀 is 7 : 8. Find the total time (in minutes) taken for the entire journey. Round off the answer to the nearest integer.
  13. The diagram shows a semicircle where 𝑃𝑄 = 12 is a diameter. 𝑅 is the point on the semicircle such that 𝑃𝑅 = 𝑄𝑅. Find the area of the shaded region. Round off the answer to the nearest integer.
  14. The diagram shows a prism. The base of the prism is in the shape of a trapezium. The lengths shown are in centimeters. Find the volume of the prism in $\text{cm}^3$.
  15. The ratio of $p:q=2\frac{2}{3}:\frac{4}{7}$ and $q:r=1:3$. Given that $\frac{p}{r}=\frac{x}{y}$ in its simplest form, find the sum of $x$ and $y$.
  16. In the figure 𝑃𝑄𝑅𝑆𝑇, find the sum of all reflex angles.
  17. The total number of employees hired by Bluebird Corporation and Starlight Enterprises from 2014 to 2017 is detailed below. Determine the percentage of employees hired in 2016 out of the total number of employees hired over these four years. Round your answer to the nearest percentage.
  18. Greenland Park has decided to repurpose a circular area with a circumference of 40πœ‹ π‘š into an outdoor concert stage. The stage, shaped like a trapezium, will be constructed on this land, with the longer of its parallel sides matching exactly the diameter of the circle.

    The lengths of the trapezium's parallel sides are in the ratio of 3:4, and the the distance between the parallel sides is 14.2π‘š. If the cost of flooring per square metre is $\$$20, calculate the total cost for the stage flooring. (Figure not drawn to scale)
  19. The rectangle shown in Figure 1 is cut along its diagonal to obtain two triangles. The two triangles are then rearranged as shown in Figure 2. 𝑄𝑅𝑆 is a straight line and a line is drawn to joined 𝑃 and 𝑇. Find the value of π‘₯.
  20. The time zone in Sydney, Australia is GMT +10, while the standard time zone in Los Angeles, USA is GMT βˆ’8. A flight departs from Los Angeles at 2200 β„Ž local time on 15 August 2023 and arrives in Sydney at 0630 β„Ž local time on 17 August 2023. Calculate the duration of the flight in minutes.
  21. Consider the number pattern:
    $1^{𝑠𝑑}\text{ π‘‘π‘’π‘Ÿπ‘š}: 1^2 βˆ’ 0^2 + 2 = 3$
    $2^{𝑛𝑑}\text{ π‘‘π‘’π‘Ÿπ‘š}: 2^2 βˆ’ 1^2 + 5 = 8$
    $3^{π‘Ÿπ‘‘}\text{ π‘‘π‘’π‘Ÿπ‘š}: 3^2 βˆ’ 2^2 + 8 = 13$
    $4^{π‘‘β„Ž}\text{ π‘‘π‘’π‘Ÿπ‘š}: 4^2 βˆ’ 3^2 + 11 = 18$
    $𝑛^{π‘‘β„Ž}\text{ π‘‘π‘’π‘Ÿπ‘š}: π‘₯^2 βˆ’ 𝑦^2 + 𝑧 = 268$
    Find the sum of π‘₯, 𝑦 and 𝑧.
    (𝐻𝑖𝑛𝑑: $(𝑛 βˆ’ 1)^2 = 𝑛^2 βˆ’ 2𝑛 + 1$)
  22. A sequence of patterns is formed using matchsticks. The first three patterns are shown below. The dots indicate where two or more matchsticks meet.

    The table below describes some information about the sequence of patterns:

    What is the sum of T and D in Pattern 45?
  23. Segment AB is parallel to segment EF and segment AC is parallel to DE. If the ∠BAC = 113°, what is the value (in degrees) of ∠DEF?
  24. In the figure below, there is a right cone with a base radius of 𝐢𝑃 = 5 metres and a height of 𝐢𝑇 = 6 metres. What is the total surface area of the cone, including the base, in square metres? Give your answer correct to the nearest integer.
  25. A rectangular piece of paper is such that its breadth is 65% as long as its length. It is cut into two equal pieces by cutting along a line parallel to the breadth. One of the pieces is then rotated by 90Β° and placed beside the other piece to obtain a new figure. Find the percentage increase in the perimeter compared to the original piece of paper. Give your answer correct to the nearest integer.
  26. James ran 40% of a track at 4 km/h. He then increased his speed by 20% for the remainder of the track. He took 1 hour 14 minutes to run the entire track. Find the length of the track correct to the nearest kilometre.
  27. Two inlet pipes can fill up an empty water tank in 2 hours and 4 hours, respectively. An outlet pipe can empty the same tank filled fully by with water tank in 8 hours. If all the pipes are turned on at the same time, how many minutes will it take to fill up the empty water tank fully?
  28. If $\frac{6}{(x^2-4)}-\frac{1}{(x+2)}+\frac{1}{(x-2)}=2\frac{(px+q)}{(x^2-4)}$, find the value of $p^2+q^2$.
  29. Consider the following pattern. How many complete triangles are there in Figure 90?
  30. A solid cuboid has the dimensions as shown in the diagram below. Two identical solids are removed from the cuboid. The cross section of each of the solids removed is the biggest possible quadrant that can be removed from the 12 cm by 4 cm face. Find the total surface area of the remaining solid in $\text{cm}^2$, giving your answer correct to the nearest integer.
  31. In the following figure, points 𝐸 and 𝐷 are the midpoints of 𝐴𝐡 and 𝐴𝐢 , respectively. 𝐢𝐸 and 𝐡𝐷 intersect at point 𝑃. 𝐺𝐢 is parallel to 𝐴𝐡, intersecting the extension of 𝐡𝐷 π‘Žπ‘‘ 𝐺. If 𝐡𝑃 = 14 cm, what is the length of 𝐡𝐺 in cm?
  32. Written as a product of its prime factors, 88 200 = $2^3 Γ— 3^2 Γ— 5^2 Γ— 7^2$. The number 𝑛 is a factor of 88 200 and its last digit is 5. If it is not a perfect square, find the greatest possible value of 𝑛.
  33. A cylindrical container with base diameter of 40 cm is filled with water to a depth of 10 cm. A cube with side of length 14 cm is placed on the base of the container and is partially immersed in the water. What is the percentage of the cube that is submerged in the water? Give your answer correct to the nearest integer.
  34. In a survey, some students were asked to choose their favourite colour from Yellow, Red and Green. Each student chose exactly one colour. The results are represented on the pie chart as shown.

    What is the minimum number of students who chose Red?
  35. The area of the square base of a pyramid is 2880 $\text{cm}^2$. The triangular faces of the pyramid are identical and each has an area of 840 cm2. What is the height of the pyramid, in cm? Round off the answer to the nearest integer.

]]> SMC Admin dot https://jelajahnalar.com/community/kompetisi-matematika-2-smc/smc-2023-grade-7/ SMC 2023 - Grade 6 https://jelajahnalar.com/community/kompetisi-matematika-2-smc/smc-2023-grade-6/ Wed, 24 Jun 2026 08:05:40 +0000

  1. The figure shows the net of a cuboid with a square base of 81 $\text{cm}^2$. Find the volume of the cuboid.
  2. The graph below shows the achievement levels of a game by a group of students. Each student gets 1 point at the beginner level, 3 points at the intermediate level and 5 points at expert level. The students achieve a total score of 224. How many students are at the intermediate level?
  3. $\frac{3}{4}$ kg of flour was needed to bake 30 brownies. Sally baked a tray of 24 brownies. There were 24 brownies on each tray. How many trays of 24 brownies could Sally bake at most with 4 kg of flour?
  4. In the figure below, EFGH is a rhombus. HJK is an equilateral triangle. $\angle$GHJ = 26ΒΊ. Find $\angle$HLK.
  5. An ant travelled at 75 cm/min for 2 min. A centipede travelled at 40 cm/s for 1 min. What is the difference in the distance travelled by the two animals? Give your answer in centimetres.
  6. Navin had a roll of ribbon. He used half of the roll of ribbon to cut into 12-cm strips. With the other half of the roll of ribbon, he cut them into 9-cm strips. After using up the roll of ribbon, he had 8 more strips of ribbons of length 9-cm each than of length 12-cm each. How many strips of ribbons of 12-cm length did he have?
  7. A group of students sat for a test. Their total score was 2252. The average of the highest score and the lowest score was 55. The average score for the remaining students was 63. How many students sat for the test?
  8. Jackson is a deliveryman. He had to deliver 120 parcels from 9 a.m. to 5 p.m. on a particular day. For every 10 parcels delivered, Jackson earned 30 bonus points. The line graph shows the number of parcels left undelivered by 5 p.m. on that day.

    How many bonus points did Jackson earn by 3 p.m.?
  9. A table with 4 columns is filled with numbers in a certain pattern. The first 6 rows of the table are shown below.

    In which row will the number 89 appear?
  10. The table shows the charges for CityLife taxi.

    Karen took a CityLife taxi from the shopping mall to her home. The taxi stopped once at a traffic light for 45 seconds. She paid $\$$8.20 for the taxi ride. What was the furthest distance she could have travelled? Give your answer in metres.
  11. The pie chart and bar graph show the number of students who went to 4 different places for their Learning Journey. Each student only went for one learning journey. The bar that shows the number of students who went to the Discovery Centre has not been drawn. What percentage of the students went to the Discovery Centre?

  12. Peter had a toy car fixed on a straight track. He pushed the toy car from one end of the track to the other end of the track. Each wheel made 30 revolutions. The length of the toy car is 26 cm and the radius of each wheel is 2.5 cm. What is the length of the track? (Take $\pi$ = 3.14) (Give your answer in centimetres)
  13. Andrew had 3 rods. He tied Rod A and Rod B together as shown in the figure below. When Rod A and B are tied together, they had the same length as Rod C. The ratio of the length of Rod A to the length of Rod B was 9 : 4.

    What was the length of Rod C? Give your answer in centimetres.
  14. The figure below shows two stacks of identical glasses.
    The height of the first stack of 8 glasses is 54 cm. The height of the second stack of 5 glasses is 39 cm.

    The height of the space in a shelf is 90 cm. What is the maximum number of glasses that one can put in a single stack to be placed in the shelf?
  15. The table below shows the number of cakes sold at a bakery for a week.

    82 cakes were sold on Saturday and Sunday. Find the total number of cakes sold from Monday to Sunday.
  16. Robot A can clean a hall in 6 hours. Robot B can clean the same hall in 3 hours. The two robots are used to clean the hall together. How many minutes would they take to clean the whole hall?
  17. The figure below is made up of 3 identical isosceles triangles ABC, PQR and XYZ.
    ∠QPR is 43º. Find the sum of ∠$m$, ∠$n$ and ∠$x$.
  18. Eunice, Fanny and Gloria shared the cost of buying a watch for their father. Eunice paid 30% of the cost of the watch while Fanny paid 35% of the remaining amount. Gloria paid the rest of the cost. There was a 20% discount when they bought the watch. Eunice paid $\$$348 for her share. How much did Gloria pay for the watch? Round your answer to the nearest dollar.
  19. Liz and Alex had $\$$345 altogether. Liz spent $\frac{1}{7}$ of her money and Alex spent $\frac{3}{4}$ of his money. In the end, Liz was left with thrice as much money as Alex. How much money did Alex have at first?
  20. Jack has 9 identical large cubes and some identical small cubes. He packs all the cubes tightly into a rectangular box such that cubes of the same size are stacked on top of each other. The box is filled to its brim exactly. The figure below shows the first layer of cubes packed in the box.

    The volume of the box is 14 976 $\text{cm}^3$. The total volume of the 9 large cubes is $\frac{4}{13}$ of the volume of the box. What is the volume of one small cube? Give your answer in $\text{cm}^3$.
  21. Figure 1 is a rectangle, JKLM, with a perimeter of 42 cm.
    Figure 2 is made up of four such rectangles and a shaded square, QRST, in the centre.
    The area of Square QRST is 169 $\text{cm}^2$. Find the length of JM in centimetres.
  22. The ratio of the number of men to the number of women was 3 : 4. There were 12 more women than children. After $\frac{1}{3}$ of the men, $\frac{1}{2}$ of the women and $\frac{1}{4}$ of the children left, there were 425 people remaining. How many people were there at first?
  23. The first 4 figures of a pattern are shown below. The length of each side of a cube in Pattern 1 is 3 cm.

    What is the difference in the volume of the cubes in Pattern 11 and Pattern 12? (Give your answer in cubic centimetres.)
  24. The ratio of the number of teachers to students in Sunshine School is 1:12. Aunty Lisa baked 1800 cookies for all the students and teachers during Children’s Day. She gave each teacher 4 more cookies than each student. The students received 4 times as many cookies as the teachers. How many teachers were there in Sunshine School?
  25. Mr Wu earned $\$$8500 in January. He spent 60% of his earnings and saved the rest. In February, his earnings decreased. He reduced his spending by 15% and saved the rest. In the end, he saved 25% of his earnings in February. What was Mr Wu’s earnings in February?
  26. Kenneth stacked two 50-cent coins and four 10-cent coins as shown in Figure 1. He found that the two stacks of coins have the same height. He then stacked an unknown number of such 50-cent coins, 10-cent coins and 20-cent coins to the same height as shown in Figure 2. The total value of all the 50-cent and 10-cent coins in Figure 2 is $\$$25.20.

    The height of each 20-cent coin is $\frac{3}{5}$ of the height of each 50-cent coin. Find the value of all the 20-cent coins.
  27. George drew 13 identical squares of sides 5 cm and arranged them as shown. He then drew 4 quadrants in such a way that when he shaded some areas within the 13 squares, he created a pattern.

    What is the area of the shaded part? Take πœ‹ = 3.14.
  28. In the figure below, not drawn to scale, JKLM, LNOP and QRSK are squares.
    ∠NKO = 110° and ∠SOP = 130°. Find ∠LNK.
  29. On Monday, Tina jogged around a park once along the jogging track at an average speed of 12 km/h for 20 min and 10 km/h for 1 h 15 min.

    On Tuesday, Tina and her brother jogged around the same park along the jogging track. They started at the same point but in the opposite directions. Tina jogged at an average speed of 14 km/h while her brother jogged at an average speed of 16 km/h. At what time would they meet if they started jogging at 06 45? Give your answer in 24-hour clock.
  30. A rectangular tank was completely filled with water. The tank was fixed in the position shown. A partition was placed in the tank. There was an outlet at the base of the tank as shown. When the outlet was unplugged at 4.00 p.m., water flowed out at a rate of 6 β„“/min. At what time did the water stop draining out of the tank? (Give your answer in 24-hour format.)
  31. The figure below shows a square ABCD. The length of ED is $\frac{2}{3}$ of the length of AD. The area of triangle BCF is 27 $\text{cm}^2$ and this is $\frac{3}{5}$ the area of triangle AEF. What is the length of AB?
  32. The figure is made up of a quadrant and a semi-circle. C is the mid-point of the arc of the semi-circle. The ratio of the length of BC to the length of CD is 2 : 3. Using the  value of the calculator, find the area of the shaded parts of the figure. Give your answer correct to the nearest whole number.

]]> SMC Admin dot https://jelajahnalar.com/community/kompetisi-matematika-2-smc/smc-2023-grade-6/ SMC 2023 - Grade 5 https://jelajahnalar.com/community/kompetisi-matematika-2-smc/smc-2023-grade-5/ Wed, 24 Jun 2026 03:57:45 +0000

  1. Mr Lim paid a total of $\$$98 400 for his new car. He made the first payment of $\$$30 000. For the remaining amount, he paid a fixed amount monthly for the next 60 months. How much did he pay each month?
  2. Edward bought some apples. $\frac{3}{5}$ of the apples were rotten and were thrown away. He sold $\frac{1}{4}$ of the remaining apples and had 60 apples left. How many apples did Edward have at first?
  3. In the figure below, ABC and BCD are isosceles triangles.
    $\angle BAC=46^o$ and $\angle ACD=150^o$. Find $\angle BDC$.
  4. Every day, David saves $\$$1.40 while his brother saves $\$$2.20. David started saving 20 days earlier before his brother started saving. When David has saved $\$$63, how much has his brother saved?
  5. Ali had a roll of wire measuring 1 m long. He cut 9 pieces of wire, each measuring 8 cm, from the roll of wire. The remaining wire was used to form a square. Find the area of the square. Give your answer in $\text{cm}^2$.
  6. Mrs Lim baked 265 cakes and pies at first. After she sold 25 cakes and $\frac{2}{7}$ of the pies, she had an equal number of cakes and pies left. How many cakes did she have at first?
  7. Study the number pattern below.
    The first number in Row 2 is 2 while the last number is 4.
    The first number in Row 3 is 5 while the last number is 9.

    Based on the pattern, what is the difference in value between the first number and the last number in Row 30?
  8. A group of 11 students saved an average of $\$$385. When two of the students lost all their savings, the average savings of the remaining students became $\$$288. What was the total amount of money lost by the two students?
  9. Mr Lim sold a total of 60 gift vouchers. 40% of the gift vouchers sold were $\$$5 in value each and the rest were $\$$10 in value each. How much money did Mr Lim collect from the sale of the $\$$10 gift vouchers?
  10. Jerome glued a 2-cm cube and a 5-cm cube together as shown below. He then painted the whole solid blue. What was the total area of all the painted faces of the solid? Give your answer in $\text{cm}^2$.
  11. At a fruit stall, the ratio of the number of apples to the number of oranges was 9 : 5.
    $\frac{1}{2}$ of the apples and $\frac{1}{2}$ of the oranges were rotten. There were 253 rotten apples and oranges. How many apples and oranges were there altogether at first?
  12. Square ABCD overlaps Triangle EFG to form Square ERCS as shown below.
    AB = EF = EG and R and S are the midpoints of EF and EG respectively. The area of Square ERCS is 81 cmΒ². Find the area of the whole figure. Give your answer in cmΒ².
  13. Mrs Lim measured and recorded the height of a group of 5 children. The table below shows the height of four of the children. Raja’s height was smudged with ink.

    The average height of the 5 children was 157 cm. One more child, Jack, joined the group and the average height of the six children became 159 cm. What was the average height of Jack and Raja? Give your answer in cm.
  14. Kenny and James have the same number of coins. Kenny has 20-cent coins and James has 50-cent coins. James has $\$$35.70 more than Kenny. How many coins do Kenny and James have altogether?
  15. Azahar Money Changer offers an exchange rate of 0.75 US dollars for 1 Singapore dollar. At this rate, how many Singapore dollars will Mrs Lim get when she gives the money changer 675 US dollars?
  16. In January, the total expenditure of Alice, Bernice and Carol was $\$$1510. In February, Alice increased her expenditure by $\$$120, Bernice doubled her expenditure and Carol reduced her expenditure by $\$$130. In the end, their expenditure became the same. What was Alice's expenditure in January?
  17. Sam cut out Cube Y from a larger wooden Cuboid X along the dotted line as shown below.

    The original volume of the Cuboid X was 6 times the volume of Cube Y. Then, Sam cut out as many 2-cm cubes as possible from the remaining Cuboid X. What was the volume of Cuboid X that was left uncut? Give your answer in $\text{cm}^3$.
  18. A book costs 3 times as much as a file. John spent $\frac{5}{9}$ of his money on some books. He spent $\frac{3}{4}$ of the remainder on 9 files. How many books did John buy?
  19. Sharon was looking for a new laptop. During the Year End Sale, an identical laptop model was sold at Shops W and X with discounts as shown below.

    Shop W does not charge Goods and Services Tax (GST) while Shop X charged 8% GST on the discounted price. Sharon bought the new laptop at a lower price from one of the shops. How much did she pay for the laptop?
  20. Beatrice sold some files at $\$$7.50 each and 18 bookmarks at $\$$1.50 each. Jen sold the same number of files at $\$$7.80 each and 18 bookmarks at $\$$1.30 each. They collected the same amount of money. How many files did each girl sell?
  21. In the figure below, PQRS is a rhombus and PQTU is a trapezium.
    PT is a straight line.
    $\angle$QRS is $124^\circ$, $\angle$ROP is $82^\circ$ and $\angle$STU is $18^\circ$.

    Find the sum of $\angle$SPT and $\angle$RST.
  22. A group of students spent an average of 70 minutes each day for online learning. Then, 3 students who each spent 30 minutes each day joined the group. In the end, the average time spent online learning for the whole group of students became 55 minutes. How many students were there in total in the end?
  23. Green and red flags are tied to a rope in the pattern as shown below. The widths of the green flags are 14 cm and the red flags are 11 cm. The first and the last flag is tied 12 cm from each end of the rope. The gap between each green and red flag is 6 cm. There is a total of 97 flags tied to the rope. What is the length of the rope in centimetres?
  24. Joshua spent $\frac{1}{8}$ of his monthly salary and an additional $\$$50 on food. He spent $\frac{2}{5}$ of the remainder and an additional $\$$70 on household expenses. He was left with $\$$2630. How much was Joshua’s monthly salary?
  25. Rectangular Tank A measuring 20 cm by 7 cm by 23 cm is filled with water to the brim. Rectangular Tank B measuring 8 cm by 11 cm by 13 cm is filled with some water. After $\frac{1}{5}$ of the water from Tank A is poured into Tank B, Tank B is $\frac{5}{8}$ filled with water. How much water was in Tank B at first? Give your answer in $\text{cm}^3$.
  26. The table below shows the rates for a cruise to Penang.

    Mr Potter, his wife and 3 children aged 8, 10 and 15 years old were planning to go on a cruise to Penang. Mr Potter chose the Ocean View package and he received an early bird discount of 15% off his total cost. He also needed to pay additional 8% GST on the discounted price. How much did he have to pay in all? Round your answer to the nearest dollar.
  27. 1000 concert tickets were on sale over a week. Each ticket was sold for $\$$25. The graph below shows the number of tickets that were left unsold at the end of each day.

    On Sunday, the concert organiser held a special promotion to sell all the remaining tickets. For every 5 tickets bought, the 6th ticket was given free. Sunshine School bought all the remaining tickets with this special promotion. How much did the concert organiser collect from the sale of the remaining tickets on Sunday?
  28. During a sale, a discount of 10% was given to every 12 chocolate bars bought. Each chocolate bar cost $\$$8. Dan paid a total of $\$$331.20 for some chocolate bars. How many chocolate bars did he buy?
  29. Eggs were only sold in trays of 30 eggs at a shop.

    Mr Lee bought some such trays of eggs and re-packed them into carton boxes of 12 eggs as shown below.

    He needed 6 more eggs to have exact carton boxes of 12 eggs. He also needed 26 more carton boxes than the number of trays he had bought. How many eggs did Mr Lee buy from the shop?
  30. The ratio of the number of female members to the number of male members in a chess club was 4 : 3. When 38 male members left the club and 28 new female members joined the club, the number of male members to the number of female members became 1 : 2. How many male members were there in the chess club in the end?
  31. A tank measuring 60 cm by 10 cm by 24 cm was empty at first. Water from a tap started to fill the tank at the rate of 600 $\text{cm}^3$ per minute. When the tank was $\frac{1}{4}$ filled with water, a crack appeared at the base of the tank. Water began to leak from the crack at the rate of 150 $\text{cm}^3$ per minute. What was the total time taken for the whole tank to be completely filled with water? Give your answer in minutes.
  32. The table below showed the price of grapes and cherries at a fruit stall.
    Grapes: $\$$1.55 per 100 g
    Cherries: $\$$2.60 per 100 g
    Mrs Kim bought some grapes and cherries to make fruit salad. She bought twice as heavy cherries as grapes. She used $\frac{2}{5}$ of the grapes and $\frac{3}{4}$ of the cherries. She was then left with 120 g more grapes than cherries. How much did she pay for the grapes and cherries?

]]> SMC Admin dot https://jelajahnalar.com/community/kompetisi-matematika-2-smc/smc-2023-grade-5/ SMC 2023 - Grade 4 https://jelajahnalar.com/community/kompetisi-matematika-2-smc/smc-2023-grade-4/ Tue, 23 Jun 2026 08:25:26 +0000

  1. What is the value of the digit β€˜6’ in the numeral 36 574?
  2. A number when rounded to the nearest 100 is 8000. What is the greatest possible number?
  3. A van can transport 8 passengers. How many passengers can 240 vans transport?
  4. The figure below is made up of 2 squares of different sizes. AG is 8 cm and DE is 6 cm. What is the length of AD? Give your answer in cm.
  5. Look at the figure below.

    Which one of the following options will form a symmetric figure with the above?
  6. Ben was standing at Point X. He turned 225Β° anti-clockwise and then made another $\frac{1}{4}$ – turn in the clockwise direction. He ended up facing the Bus Bay. Which location was Ben facing at first?

    Option (1) Hall
    Option (2) Field
    Option (3) Library
    Option (4) Computer Lab
  7. Which of the following is an equivalent fraction of $\frac{3}{4}$?
    Option (1) $\frac{12}{24}$
    Option (2) $\frac{9}{16}$
    Option (3) $\frac{5}{6}$
    Option (4) $\frac{6}{8}$
  8. Zainal had 5 m of ribbon at first. He used 1.4 m of it to wrap a present and some ribbon to decorate 2 cards. He had 2.6 m of ribbon left. Which of the following is the length of ribbon for each card?
    Option (1) 1 m
    Option (2) 2 m
    Option (3) 0.7 m
    Option (4) 0.5 m
  9. The table below shows the favourite colours of 108 pupils in Primary Four. Some numbers have been blotted out by ink stains. There were twice as many pupils who chose green than yellow.

    There is a total of 38 pupils who like 2 of the colours.
    Which of the following options shows the two colours?
    Option (1) Blue and Green
    Option (2) Yellow and Blue
    Option (3) Green and Red
    Option (4) Red and Yellow
  10. Which of the following figures has only one line of symmetry?
  11. Rectangle PQRS is folded to form the figure below.
    ∠$y$ is three times of ∠$x$. Find ∠$x$.
  12. A 4-digit number is made up of three different odd digits and a zero. What is the smallest possible value of the number?
  13. Study the pattern. What is the missing number in the box?
  14. Alice’s present age is a 2-digit number which is also a multiple of 4.
    5 years ago, her age was a factor of 54. What is Alice’s age 5 years later?
  15. Colin, Dylan, and Eden shared some sweets. Colin took $\frac{1}{6}$ of the sweets. Dylan took the remaining sweets and shared it equally with Eden. Eden ate 12 of his sweets and has 18 sweets left. How many sweets were there altogether?
  16. The product of 7 and a number is 84. What is the product of 252 and that number?
  17. A rectangular piece of paper was folded differently on both ends as shown below.

    What is the area of the rectangular piece of paper before it was folded? Give your answer in $\text{cm}^2$.
  18. A rectangular piece of paper was cut into 3 smaller rectangles with dimensions as shown. Find the length of the paper before it was cut. Give your answer in cm.
  19. The table below shows the cost of pizza with different sizes.

    Mrs Tan ordered 6 large pizzas and 5 regular pizzas. She gave the delivery man $\$$200. How much change did Mrs Tan receive?
  20. A length of sticky tape is made up of repeated designs as shown below.

    The sticky tape is 80 cm long. How many are there altogether?
  21. Sam spent a total of 3 h 10 min revising for his English, Science and Mathematics tests over the weekend. He spent 50 min on English and another 1 h 25 min on Science. How long did Sam spend revising Mathematics? Express your answer in minutes.
  22. The figure below is made up of 7 identical rectangles. The perimeter of the whole figure is 340 cm. Find the breadth of 1 such rectangle. Give your answer in cm.
  23. Yiping had 100 fewer stickers than Joanne. Joanne had 4 times as many stickers as Wendy. Wendy had 40 stickers. How many stickers did they have altogether?
  24. Star Bookshop is having a promotion. For every 2 notebooks bought, the third notebook is free. Karen bought 25 notebooks. What is the least amount of money she has spent in total?
  25. Meena left her house to watch a movie at the cinema. Her watch showed 1630 but it was actually 5 minutes slower than the actual time. She took 35 minutes to reach the cinema. In the end, she was 10 minutes early for the movie. What time did the movie begin? Give your answer in 24-hour clock format.
  26. Ken had some money. He used $\frac{1}{2}$ of it to buy a shirt and $\frac{1}{5}$ of it to buy a pair of pants. He had $\$$180 left. How much money did he have at first?
  27. A rectangular piece of paper was folded as shown below.

    Find ∠TRU.
  28. The line graph shows the earnings at Mr Lim’s chicken rice stall over a 6-month period.

    Mr Lim charged $\$$5 for every plate of chicken rice. What is the difference in the number of plates of chicken rice sold between the highest earnings month and the lowest earnings month?
  29. The figure is made up of 2 identical squares overlapping each other. The unshaded rectangle has an area of 10 $\text{cm}^2$. The total area of the shaded parts is 142 $\text{cm}^2$. Find the length of the square. Give your answer in cm.
  30. A carpet is laid on a rectangular floor measuring 20 m by 13 m, leaving a border of 3 m around it. Find the area of the floor that is not covered by the carpet. Give your answer in square metres.
  31. Max bought the same number of books and files. Each book cost $\$$7 and each file cost $\$$2. He paid $\$$243 altogether. How many books and files did he buy altogether?
  32. John bought 2 crates of oranges. Crate A contained 200 more oranges than Crate B. After he transferred 50 oranges from Crate B to Crate A, there were twice as many oranges in Crate A than in Crate B. How many oranges were there in Crate A at first?
  33. Some circles and triangles are arranged as shown in the pattern below:

    How many circles are there if there are 122 shapes?
  34. Mr Tan has less than 40 sweets for a group of pupils. If he gives his pupils 4 sweets each, he will be short of 1 sweet. If he gives each pupil 5 sweets each, he will be short of 11 sweets. How many pupils does he have in the group?
  35. There are 17 pupils in a class. The teacher gets each pupil to give a hi-five to every classmate once. How many hi-fives are exchanged altogether?
  36. Jean is watching a movie in a hall. The chairs in the hall are arranged in rows with the same number. All the chairs are occupied. There are 7 people behind Jean and 4 people in front of her. There are 3 people on her left and 4 people on her right. How many people are watching the movie?
  37. Mike had 72 oranges and 45 pears. He packed the fruits such that each bag contained an equal number of oranges and an equal number of pears. He packed the fruits into as many bags as possible. How many fruits were there in each bag?
  38. The following figure shows a rectangular garden with a footpath. The width of the footpath is 2 m. The area of the garden not covered by the footpath is 124 $\text{m}^2$. Find the length of AB. Give your answer in m.
  39. In a General Knowledge quiz, 5 marks were awarded for a correct answer but 2 marks were deducted for an incorrect answer. Mei Ling answered all 50 questions and was awarded a total of 166 marks. How many questions did she answer correctly?
  40. Uncle Lee had some pears in his shop. He sold 36 of them in the morning and threw away 5 bad ones. He sold 10 pears in the afternoon and packed half of the remaining pears into 10 bags. Each bag contained 7 pears. How many pears did he have at first?
  41. Mother bought 5 more cups than plates. Each cup cost $\$$8 and each plate cost $\$$3. She paid $\$$183 altogether. How many cups did she buy?
  42. Sandy and Tracy had $\$$600 altogether. Sandy gave $\frac{1}{5}$ of her money to Tracy and then Tracy gave $\frac{1}{4}$ of the money Sandy. In the end, both of them had the same amount of money. How much money did Sandy have at first?
  43. The total cost of 6 skirts and 3 blouses was $\$$144. Three blouses cost as much as 2 skirts. Find the total cost of one skirt and one blouse.
  44. Study the pattern below:

    Find the total number of squares needed to form Figure 50.
  45. Sam had three coins in his wallet. They could be 10-cent coins, 20-cent coins or 50-cent coins. How many different possible amounts of money Sam could have in his wallet?

]]> SMC Admin dot https://jelajahnalar.com/community/kompetisi-matematika-2-smc/smc-2023-grade-4/ SMC 2023 - Grade 3 https://jelajahnalar.com/community/kompetisi-matematika-2-smc/smc-2023-grade-3/ Tue, 23 Jun 2026 07:48:51 +0000

  1. 2 tens more than ...... is 5860.
  2. 18 + 6 + 6 = ... Γ— 6
  3. What is the total volume of water in the 2 beakers below? Give your answer in ml.
  4. Express 3 h 25 min in minutes.
  5. The graph below shows the number of fruits James sold.

    How many fruits must he sell on Wednesday so that he can sell a total of 280 fruits for the 3 days?
  6. What is the missing number in the box below?
    $$\frac{21}{49}=\frac{3}{\cdots}$$
  7. Study the diagram below. How much heavier is the papaya than the apple? Give your answer in grams.
  8. Which one of the following fractions is greater than $\frac{1}{2}$?
    Option (1) $\frac{3}{6}$
    Option (2) $\frac{3}{7}$
    Option (3) $\frac{4}{7}$
    Option (4) $\frac{4}{9}$
  9. What fraction of the figure below is shaded?

    Option (1) $\frac{5}{12}$
    Option (2) $\frac{6}{12}$
    Option (3) $\frac{7}{12}$
    Option (4) $\frac{8}{12}$
  10. The clock below is 20 min fast. Which of the following options shows the actual time?

    Option (1) 20 minutes to 3
    Option (2) 20 minutes past 3
    Option (3) 20 minutes to 2
    Option (4) 20 minutes past 2
  11. Look at the diagram below. Which of the following options shows a pair of perpendicular lines?

    Option (1) AB and CD
    Option (2) CD and DE
    Option (3) AF and EF
    Option (4) EF and CD
  12. Study the neighbourhood map below.

    Which of the following options is a correct statement?
    Option (1) Nature Street is parallel to Flora Lane.
    Option (2) Crescent Walk is parallel to Valley Road.
    Option (3) Nature Street is parallel to Densely Park.
    Option (4) Sunset Link is parallel to Crescent Walk
  13. Tina bought a bag. She gave the cashier 2 fifty-dollar notes. She received $\$$2.75 change.
    Which of the following options shows the cost of the bag?
    Option (1) $\$$98.75
    Option (2) $\$$98.25
    Option (3) $\$$97.75
    Option (4) $\$$97.25
  14. Julie saves only five-cent and twenty-cent coins in her piggy bank. She wants to buy a birthday present that costs $\$$6. She has only $\$$4.85 in the piggy bank. Which of the following options shows the additional coins she will need in order to buy the birthday present?
    Option (1) 1 five-cent coins and 5 twenty-cent coins
    Option (2) 5 five-cent coins and 3 twenty-cent coins
    Option (3) 7 five-cent coins and 4 twenty-cent coins
    Option (4) 8 five-cent coins and 5 twenty-cent coins
  15. Mr Mok is a taxi driver. He drove 6 h on Sunday. He drove 2 h 55 min less on Monday than on Sunday. What is the total amount of time he drove on Sunday and Monday? Give your answer in minutes.
  16. The figure below is made up of 5 identical squares of sides 3 cm. What is the area of the figure? Give your answer in square centimetres.
  17. Study the picture below. How long more must the rubber band be stretched so that it has the same length as the pencil? Give your answer in centimetres.
  18. A jug holds 1000 m$\mathcal{l}$ of orange juice. After filling 3 identical glasses, 376 m$\mathcal{l}$ of orange juice is left in the jug. What is the capacity of one such glass? Give your answer in millimetres.
  19. A farmer had 450 apples. He put them into 7 boxes equally and had 58 apples left. How many apples were there in each box?
  20. Sticks were used to form triangles as shown in the figures below.

    The arrangement continued in the same pattern. How many sticks would be needed to form Figure 9?
  21. Mangoes were sold at $\$$24 for 3 kg. Mdm Ong sold 27 kg of mangoes. How much did she receive from selling the mangoes?
  22. John, Sam, and Tom are standing in a row to take a photograph. They will switch positions after each shot. How many different ways can they stand in a row to take the photograph?
  23. The total mass of 3 mangoes and 1 watermelon is 2 kg 600 g. The mass of each mango is 350 g. What is the mass of the watermelon? Give your answer in grams.
  24. A wallet and 4 pouches cost $\$$265. The wallet and 2 such pouches cost $\$$189. Find the cost of 1 wallet.
  25. Polly has 72 oranges. She has 8 times as many oranges as apples. She has 4 times as many pears as apples. How many pears does Polly have?
  26. The bar graph below shows the number of carnival tickets sold by four classes in Primary Three.

    Each carnival ticket cost $\$$8. What is the difference between the class with the most amount of money collected and the class with the least amount of money collected?
  27. Jack and Tom had a total of $\$$330. Jack gave $\$$87 to Tom. In the end, Tom had twice as much money as Jack. How much money did Tom have at first?
  28. A wire is 2 m long. It is cut into 2 pieces which are bent to form two squares, A and B, as shown below.

    What is the length of each side of Square B? Give your answer in centimetres.
  29. Find the perimeter of the shaded figure. Give your answer in centimetres.
  30. At a bakery, cheese tarts are sold in boxes of 3. Each box of cheese tart costs $\$$8. Each piece of cheese tart costs $\$$2.80 Mdm Sim has $\$$55. What is the greatest number of cheese tarts she can buy?
  31. Rectangle ABCD is made up of 1 big shaded rectangle and 5 identical smaller unshaded rectangles. The area of the shaded rectangle is 35 cm2 and the length of DC is 15 cm. What is the area of Rectangle ABCD? Give your answer in square centimetres.
  32. A jug can hold 1050 ml of water. A bottle can hold 225 ml less water than the jug. A flask can hold 3 times as much water as the bottle. How much water can the items hold altogether? Give your answer in millilitres.
  33. A container with 20 identical beads weighed 826 g. When 7 beads were removed, the mass of the container with the remaining beads was 721 g. What was the mass of 9 such beads? Give your answer in grams.
  34. Look at the diagram below. The length of a rectangle is 3 times its breadth. Its breadth is 8 cm. What is the perimeter of the rectangle? Give your answer in centimetres.
  35. The figure below is formed using 3 identical rectangles. The perimeter of the figure is 60 cm. Find the total area of the figure. Give your answer in square centimetres.
  36. Jay and Kenny had an equal amount of money. Jay bought 5 cookies and had $\$$3.60 left. Kenny wanted to buy 8 cookies but he was short of $\$$4.80. Find the cost of 1 cookie. Give your answer in cents.
  37. The figure below is made up of 9 identical squares. 5 of the squares are shaded. How many unshaded squares should be shaded so that $\frac{2}{3}$ of the figure is shaded?
  38. A total of 480 students was asked to choose their favourite ice cream flavours. The bar graph shows the numbers for each of the 4 Ice Cream flavours.

    How many students have chosen more than one flavours?
  39. Rita and Sarah had the same number of beads. Rita gave away 35 beads and Sarah received 40 beads. In the end, Sarah had 4 times as many beads as Rita. How many beads did Sarah have at first?
  40. A farmer had 98 oranges and pears. He packed all of them into similar boxes. Each box can hold 6 oranges or 5 pears. There are 2 more boxes of pears than oranges. How many oranges did he have?
  41. A shopkeeper has 622 pens of 3 different colours in a shop. There are 4 times as many blue pens as green pens. There are 35 fewer red pens than blue pens. How many blue and red pens are there altogether in the shop?
  42. 11 taxis were hired to fetch 52 passengers to their hotels. Each small taxi carried 4 passengers and each big taxi carried 6 passengers. How many small taxis were hired?
  43. 6 dustbins are lined up in a row with equal distance between them. The length of each dustbin is 35 cm. The total distance from the first dustbin to the last dustbin is 835 cm. What is the distance between the 5th and 6th dustbins? Give your answer in centimetres.
  44. Mrs Tan invited some children to her party. The number of girls was twice the number of boys at the party. Each girl received 2 lollipops and each boy received 3 lollipops. Mrs Tan gave out 154 lollipops in all. How many children were invited to the party?
  45. Some stars are arranged in rows. The first 3 rows are shown below.

    Which row has a total of 947 stars?

]]> SMC Admin dot https://jelajahnalar.com/community/kompetisi-matematika-2-smc/smc-2023-grade-3/ SMC 2023 - Grade 2 https://jelajahnalar.com/community/kompetisi-matematika-2-smc/smc-2023-grade-2/ Tue, 23 Jun 2026 07:12:02 +0000

  1. Which one of the following options is matched correctly matched?
  2. Which one of the following options is correct?
    Option (1) 7 Γ— 5 < 6 Γ— 4
    Option (2) 21 + 3 > 23 + 1
    Option (3) 30 Γ· 5 < 32 Γ· 4
    Option (4) 100 – 59 > 200 – 119
  3. Jennifer has 24 hairclips. She puts them equally into 3 packs. How many hairclips are there in each pack?
    Which one of the following options shows the correct equation to solve the problem?
    Option (1): 24 + 3 = 27
    Option (2): 24 – 3 = 21
    Option (3): 24 Γ— 2 = 48
    Option (4): 24 Γ· 3 = 8
  4. The time on the clock below is 5 min slow. Which one of the following options shows the actual time?
    Option (1): 7.05
    Option (2): 7.10
    Option (3): 7.15
    Option (4): 7.20
  5. The height of a classroom door is about _.
    Which one of the following options shows the correct height of a classroom door?
    Option (1) 2 cm
    Option (2) 2 m
    Option (3) 20 cm
    Option (4) 20 m
  6. Which one of the following fractions is greater than $\frac{1}{2}$?
    Option (1) $\frac{1}{8}$
    Option (2) $\frac{3}{8}$
    Option (3) $\frac{4}{8}$
    Option (4) $\frac{5}{8}$
  7. Andy, Benjamin, Lucas and Siti had lunch together in a food court. They bought Chicken rice, Noodles, Fish & Chips and Pasta. Based on the following statements, what food did Benjamin order?
    - Siti loves eating Fish.
    - Andy prefers to eat rice.
    - Lucas did not order Noodles.
    Option (1) Chicken Rice
    Option (2) Noodles
    Option (3) Fish & Chips
    Option (4) Pasta
  8. Joanne wants to buy a pair of goggles as shown below. She has six notes and some coins in her purse.
    How much more money does Joanne need?
    Option (1) $\$$27.80
    Option (2) $\$$26.90
    Option (3) $\$$6.80
    Option (4) $\$$5.20
  9. Steve bought a pizza. He gave $\frac{3}{10}$ of the pizza to his sister. He also gave twice as many pieces to his father. What fraction of the pizza did he have left?
    Option (1) $\frac{1}{10}$
    Option (2) $\frac{2}{10}$
    Option (3) $\frac{6}{10}$
    Option (4) $\frac{9}{10}$
  10. A book shop sold 113 story books in January, 48 story books in February and 204 story books in March. How many story books were sold altogether?
  11. What is 300 more than 18 tens 4 ones?
  12. Look at the following equations.
    What is the value of ?
  13. James needs 3 ice-cream sticks to form a triangle as shown in the pattern below.
    How many ice-cream sticks are needed to form 4 triangles in Pattern 4?
  14. Jean has fewer than 30 cups. She can pack all the cups equally into boxes with 4 cups in each box. She can also pack all the cups equally into containers with 5 cups in each container. No cup is left unpacked. How many cups does Jean have?
  15. Mrs Tan made three skirts using a total of 532 cm of cloth. She used 120 cm of cloth to make the first skirt. She used the same amount of cloth to make the second skirt. How much cloth did she use to make the third skirt? Give your answer in cm.
  16. Alice has a square cardboard and 32 coins. She wants to place an equal number of coins on each side of the cardboard. A coin is placed at each corner of the cardboard as shown below. How many coins can Alice place on each side of the cardboard?
  17. The weighing scale below shows the total mass of an apple and a bunch of bananas. The bunch of bananas weighs 290 g. Find the mass of 3 such identical apples. Give your answer in grams.
  18. Jessica bought 6 pens and 2 files. Each pen cost $\$$3. Each file cost $\$$2 more than each pen. She gave the cashier $\$$50. How much change did she receive?
  19. Tom has $\$$40 more than Ken. Samad has $\$$30 more than Tom. Samad has $\$$270. How much do the three boys have altogether?
  20. The numbers on the three houses below follow a pattern. What is the missing number on the third house?
  21. Mrs Lim wrote a 3-digit number on a whiteboard. She halved the 3-digit number first. After that, she subtracted 170 from the halved number. Then, she divided the result by 5. The final answer was 6. What number did Mrs Lim write on the whiteboard?
  22. John wrote a 3-digit number on a piece of paper. The digit in the ones place is the greatest 1-digit number. The digit in the tens place is 4 less than the digit in the ones place. The value of the digit in the hundreds place is 650 more than the value of the digit in the tens place. What is the 3-digit number?
  23. 10 soldiers need to cross a river. A rubber boat can ferry 4 soldiers each time. 1 soldier has to steer the boat during each crossing. What is the least number of crossings needed to take all 10 soldiers to get to the other side of the river?
  24. Agnes had some sweets in her container. She gave 4 sweets to each of the 9 girls and 5 sweets to each of the 3 boys in her class. In the end, she had 35 sweets left. How many sweets did Agnes have at first?
  25. Alicia and Daniel have a total mass of 90 kg. Alicia and Sam have a total mass of 102 kg. Alicia has a mass of 47 kg. What is the total mass of Daniel and Sam? Give your answer in kg.
  26. Mr Chen had some water at first. He filled two beakers with some water as shown below.
    In the end, he had 580 m$\mathcal{l}$ of water left. How much water did he have at first?
    Give your answer in m$\mathcal{l}$.
  27. The picture graph shows the different types of sandwiches a class of pupils likes.
    The number of pupils who like Chicken sandwiches is half the total number of pupils who like Tuna and Egg sandwiches. How many pupils like Chicken sandwiches?
  28. Mr Tan has some money. If he buys a toaster that costs $\$$49, he will have $\$$26 left. If he buys an iron, he will be short of $\$$17. How much does the iron cost?
  29. Agnes bought a total of 50 red and yellow beads. For every 4 red beads bought, there was a yellow bead. How many red beads did Agnes buy in total?
  30. A rope is 1 m long. Joe cuts off 64 cm of it. Then, he cuts the remaining length into 4 equal pieces. What is the length of each piece? Give your answer in cm.
  31. 5 years ago, Ben was 8 years old. His mother is 26 years older than him. How old will his mother be in 5 years’ time?
  32. A pancake seller bought 9 bottles of honey. There were 10 litres of honey in each bottle. He used 36 litres of honey on Saturday and 23 litres of honey on Sunday. How many litres of honey did the pancake seller have left?
  33. Look at the scales below. What is the mass of 2 identical Boxes of A? Give your answer in kg.
  34. Oranges were sold in bags of 4 at $\$$3 for each bag.
    Mrs Lee bought 32 oranges. Mdm Rose bought 6 bags of oranges. How much did both of them spend altogether?
  35. Look at the pictures below.
    Kelvin bought 4 pencil cases and 12 notebooks. He gave the cashier 2 fifty-dollar notes. How much change did he receive?
  36. Mrs Annabelle bought 50 sweets. She had 8 students. She lined them up and gave 2 sweets to the 8th student, 3 sweets to the 7th child, 4 sweets to the 6th students. She continued giving sweets to all her students following the above pattern. How many sweets did she have left?
  37. A toy house has 2 levels. Each level is 27 cm high. There is a black vase on the table. The tabletop is 15 cm from the ceiling. How far is the bottom of the black vase from the bottom of the toy house? Give your answer in cm.
  38. Rose syrup is sold in two types of bottles as shown.
    Bottle A costs $\$$5 each and Bottle B costs $\$$2 each. Mr Lim bought 5 bottles of rose syrup. He spent $\$$19 altogether. How many bottles of Type A did he buy?
  39. Sam had a box. The box contained 4 wooden cubes of the same mass. The box and 4 wooden cubes had a mass of 880 g. After 3 wooden cubes had been removed from the box, the box weighed 580 g. What would be the mass of the box with 2 such wooden cubes? Give your answer in gram.
  40. Julian enjoys reading a variety of books.
    Read the following statements and work out how many books of each kind he has read for the month.
    βœ“ The number of science fiction books Julian has read was less than 5.
    βœ“ Julian has read 5 times as many horror stories as science fiction novels.
    βœ“ The number of sports magazines read was 1 less than the number of horror stories.
    βœ“ He has read twice as many sports magazines as history books.
    βœ“ He has read the same number of history books as he has read comics.
    βœ“ The number of comics read is 3 more than the number of computer books.
    How many books did Julian read in total for the month?
]]> SMC Admin dot https://jelajahnalar.com/community/kompetisi-matematika-2-smc/smc-2023-grade-2/ SMC 2023 - Grade 1 https://jelajahnalar.com/community/kompetisi-matematika-2-smc/smc-2023-grade-1/ Tue, 23 Jun 2026 06:31:20 +0000

  1. Look at the picture below.

    What is the missing number in the box?
  2. How many apples are there altogether?
  3. There are 6 oranges in a basket. Miss Lim buys 2 more bags of oranges as shown below. How many oranges are there altogether?
  4. Look at the table below.
    Compare the amount of money between Set A and Set B.

    What is the total amount of money in the set that has more money? Give your answer in cents.
  5. There are 4 red pens and 3 blue pens in 1 box. How many pens are there in 3 such boxes?
  6. Mrs Lee put the watermelons equally into bags of 2. How many bags of watermelons are there?
  7. There are 8 groups of students in Primary 1 Joy class. Miss Ellen puts exactly 3 students in each group. How many students are there in Primary 1 Joy altogether?
  8. Ron and Mike have 12 marbles altogether. Each of them has more than 4 marbles. Ron has fewer marbles than Mike. How many marbles does Mike have?
  9. Andy placed 2 bottles on one side of a square as shown below.

    How many bottles does Andy need to go round 3 squares?
  10. The graph below shows the favourite places liked by the pupils in a Primary One class.

    How many pupils chose the 3 most favourite places in total?
  11. Jason looked at the clock below.

    He realised that the clock was 2 hours slower than the actual time. What was the actual time?
  12. Look at the pictures below.

    Mr Chan has $\$$50. He wants to buy a doll and 2 teddy bears. How much more money does he need to buy the three items?
  13. Look at the figure below.

    How many circles can be made from all the semicircles and quartercircles in the figure?
  14. Look at the picture.

    How many circles and triangles are there altogether?
  15. How much more money does Karen have than Leon?
  16. Cindy bakes cookies from 2.45 p.m. to 3.15 p.m. How many minutes does she take to bake the cookies?
  17. Samuel folded 19 paper aeroplanes. His brother folded 17 more paper aeroplanes than him. How many paper aeroplanes did his brother fold?
  18. Linda has $\$$70. Mandy has 5 five-dollar notes. How much money do they have altogether?
  19. Study the pattern below. What is the missing number in the box?
  20. Tammy has to choose one after school activity in each term. The table below shows the activities available for Term 3 and Term 4. There are 3 activities for Term 3 and 2 activities for Term 4.

    How many sets of choices can Tammy choose for the two terms?
  21. For every 10 apples bought, 2 free apples were given.

    Mrs Lee bought some boxes of apples and received 6 free apples. How many apples did she have altogether?
  22. Joseph used a calculator to find the answer for 45 + 36 + 7. The answer shown on the calculator was 48. However, his friend pointed out that the answer was incorrect because one of the number buttons was not working. Which number button on the calculator was not working?
  23. Bernard collected 86 marbles. He gave 49 marbles to his brother and lost some of his marbles. The rest of his marbles were kept in the bottle as shown below. How many marbles did Bernard lose?
  24. Linette had some toys. She gave away 18 toys and threw away 15 of them. She had 28 toys left. How many toys did Linette have at first?
  25. Mdm Fatimah bought 3 bags of cookies. There were 8 cookies in each bag. She repacked all the cookies into smaller packs of 4 each. How many packs of 4 cookies did Mdm Fatimah have?
  26. Siti wants to exchange her $\$$50 note into $\$$5 and $\$$10. She will get four $\$$5 notes some $\$$10 notes. How many $\$$10 notes will Siti get?
  27. Raja used 2 slices of bread and 1 slice of ham to make a sandwich. The table below shows the number of sandwiches, slices of bread and slices of ham used to make the sandwiches.

    What was the total number of slices of bread and ham Raja used to make 4 sandwiches?
  28. Look at the picture given below.

    Sandy has 5 such identical pencils. The length of 5 such pencils is as ... long as erasers.
    What is the missing number?
  29. Kenneth is writing a number on a piece of paper. It is a 2-digit number that is greater than 31 but smaller than 40. When the two digits are added together, the answer is 9. What number is Kenneth writing?
  30. There are 6 boys and girls altogether.
    Each boy gets 3 sweets.
    Each girl gets 2 sweets.
    All the children share a total of 16 sweets. How many boys are there?
  31. The picture below shows a menu of a Pizza restaurant.
    Mr and Mrs Lee had their lunch at this restaurant.

    Mr Lee ordered the most expensive pasta. Mrs Lee ordered the cheapest pizza. Both of them ordered non-juice drink each. The restaurant charged them $2 for the service charge. How much did they pay in total?
  32. Brandon had 19 rubber bands. He had 7 fewer rubber bands than James. How many rubber bands did they have altogether?
  33. Look at the equations.

    What is the missing number in the box?
  34. Johnny has a book that contains 40 pages. How many times will digit β€˜2’ appear at least once on all the pages?
  35. Emma baked 12 more pies than Danielle. Florence baked 4 fewer pies than Danielle. Danielle baked 12 pies. How many pies did the 3 girls bake altogether?
  36. Daniel bought 12 lollipops. He bought twice as many lollipops as Adrian. Both of them shared their lollipops equally with John. How many lollipops did John receive?
  37. Look at the equations below.

    What is the missing number in the box?
  38. Leonard baked more than 20 but less than 30 pies. He could put them on trays of 3 or on trays of 4. How many pies did Leonard bake?
  39. Annie was 15 years old 3 years ago. Margaret is 4 years older than Annie. How old will Margaret be 7 years later?
  40. Look at the following fruits and their price tag.

    Mr Tan had some money. He would need another $4 if he wanted to buy a mango and a bunch of grapes. In the end, he bought a watermelon and a mango. How much money did he have left?

]]> SMC Admin dot https://jelajahnalar.com/community/kompetisi-matematika-2-smc/smc-2023-grade-1/