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- 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.
- How many perfect squares satisfy the inequality below? $$\frac{7-3x}{5}\ge -11$$
- The current ages of Tom and Harry are (2π₯ + 3π¦) and (5π₯ β 9π¦), respectively. Five years ago, the sum of their ages was (ππ₯ + ππ¦ + π). Find the value of (π β π + π).
- Simplify: $$\frac{32.8\times 32.8+2\times 32.8\times 67.2+67.2\times 67.2}{10}$$
- If an interior angle of a regular polygon with π sides is 1500, how many sides does the polygon have?
- 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.
- Find the 100th term in the sequence below. $$2, 5, 8, 11, 14, β¦$$
- 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?
- 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?
- 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.
- 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?
- Segment AB is parallel to segment EF and segment AC is parallel to DE. If the β BAC = 113Β°, what is the value (in degrees) of β DEF?
- The sum of two numbers is 204 and their product is 68. Find the sum of their reciprocals.
- Estimate the value of the expression below. Round off the answer to the nearest integer. $$\frac{\sqrt{7}+\sqrt{3}}{\sqrt{7}-\sqrt{3}}$$
- The graph of the curve $π¦ = 5π₯^2 β ππ₯ + 32$ intersects the π₯-axis at π₯ = 4. Find the value of π.
- If $y=x+\frac{3}{2}$ and $x=\frac{(yz+\frac{1}{B})}{z}$, find the value of $\frac{1}{B^2}$.
- If π₯:π¦ = 7:5, find the value of $\frac{(x^3+y^3)}{x^3-y^3)}$. Round off the answer to the nearest integer.
- 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 $\frac{π}{π}$, where the fractionππππ is in the simplest form.
Find the value of π + π. - Given that ππ = 4 and $π^2 + π^2 = 41$, find the value of $(π + π)^2$.
- 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.
- 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?
- 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 $p^2+q^2$.
- If $2^{π₯β5π¦} = π^{5π}$ and $2^{2π₯+7π¦β238} = π^{10π}$ where π β 0, find the value of π¦.
- The ratio of two positive integers is 2 : 3 and their Lowest Common Multiple is 174. Find the sum of the two numbers.
- 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 $p$.
- 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.
- When $(π₯^2 β ππ₯ + π)$ is divided by $(π₯ + 1)$, the quotient is $(π₯ β 2)$ and the remainder is β7. Find the values of π β π.
- 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?
- 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.
- The area of an equilateral triangle is $25\sqrt{3}\text{ cm}^2$ . Find the side length of the triangle, in cm.
- The point π(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 = tan πΌΒ° and πΌΒ° is an acute angle, find the value of (m + Ξ±).
- 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?
- 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?
- If the mean of the data set below is 2, find the median of the data. $$a^2-22a+6,7,2a-13,10a+18,17$$
- (π₯ β 2) is a factor of $π₯^2 β ππ₯ + π$ and $(π₯ β 1)$ is a factor of $π₯^2 β ππ₯ + π + 5$. What is the value of π β π?
This topic was modified 2 minggu ago by Admin dot
Posted : 26/06/2026 9:22 am
