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- Find the Lowest Common Multiple of 315 and 78.
- 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? - Without the use of calculators, estimate the value of $\sqrt{442}-\sqrt[3]{65}$.
- $$3.5\text{ : }\frac{27}{4}=x\text{ : }y,$$ where π₯ βΆ π¦ is a ratio in the simplest form. Find the value of π¦ β π₯.
- When $13π₯^3 β 23π₯$ is subtracted from $31π₯^3 β 13π₯ + 27$, the result is $ππ₯^3 + ππ₯ + π$. Find the sum of π, π and π.
- Given the linear function $\frac{5}{3}$π¦ β 15π₯ = 25, find the sum of its gradient and π¦-intercept.
- π΄π΅πΆ is a straight line. Find the value of 100π¦. Give your answer correct to the nearest integer.
- π is the point (β2, 8) and π is the point (π₯, 3).
$\overrightarrow{PQ}=\binom{-11}{y}.$
Find the value of π¦ β π₯. - 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?
- It is given that π is inversely proportional to the square of π. It is known that π = 270 for a particular value of π. Find the value of π when this value of π is tripled.
- 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.
- In the sequence below, π is the largest two-digit prime number. Find the value of π. $$β30, β23, β16, β9, β2, β¦$$
- 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 π% as much money as Lily. Find the value of π.
- Sets π΄, π΅ and πΆ are defined as follows:
π΄ = {π₯: π₯ ππ ππ πππ‘ππππ}
π΅ = {π₯: π₯ ππ π πππππ ππ’ππππ}
πΆ = {π₯: π₯ ππ π ππππ‘ππ ππ 4620}
Find π(π΄ β© π΅ β© πΆ). - Given that $\frac{9}{x+7}+\frac{13}{x-5}=\frac{ax+b}{x^2+2x+c}$. Find the sum of $a,b$ and $c$.
- 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 $\frac{π}{π}$, find the sum of π and π.
- In an π-sided polygon, the size of each interior angle is 156Β°. Find the value of π.
- It is given that β6 < π β€ 3 and β5 β€ π < 6, where π and π are integers. Find the greatest possible value of $4π^2 + 25π^2$ β 12π β 70π + 70.
- The straight line 12π¦ + 18π₯ β 180 = 0 intersects the $x$-axis and $y$-axis at (π, π) and (π, π) respectively. Find the sum of π, π, π and π.
- In a right-angled triangle π΄π΅πΆ below, π΄π΅ = 18, β πΆπ΄π΅ = 75Β° and π΅π· is a median. Find the length of π΄π·. Round off the answer to the nearest integer.
- Given that $π^2 β π^2 = 495, π^2 β 2ππ + π^2 = 1089, π > 0$ and π < 0, find the value of $π^2 + π^2$.
- The lines $π¦ = β2π₯ + 8$ and $π¦ = \frac{1}{2}π₯ β 2$ meet at (4, 0), as shown. What is the area of the triangle formed by these two lines and the line π₯ = β2?
- 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 $\frac{π}{π}$, where $\frac{π}{π}$ is in the simplest form. Find the value of π + π.
- A car leaves from city A on a bearing of 320Β° 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 β π΄π΅πΆ = 100Β° and β π΅πΆπ· = 30Β°, what is the measurement of β π΅π·πΆ, in degrees?
- 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.
- 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?
- 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. - 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.
- In the diagram, π΄π΅πΆ is a straight line.
$\overrightarrow{BA}=14b,\overrightarrow{CA}=21a,\overrightarrow{DA}=xa+yb$ and πΆπ· βΆ π·π΅ = 5 βΆ 2. Find the value of π₯ + π¦.
- 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?
- Givent that π and π are integers, find the value of π + π.
- 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.
- If the mean of the data set below is 2, find the median of the data. $$π^2 β 22π + 6, 7, 2π β 13, 10π + 18, 17$$
- 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?
- Find the value of π.
This topic was modified 2 minggu ago 2 times by Admin dot
Posted : 27/06/2026 1:39 am
