Live Challenges

Simplify 3 + 2x/x – y

If 2x + y =7 and 3x – 2y = 3, by how much is 7x greater than 10?

Factorise  x^2 – y^2  + (x – y)^2

If a distance of 4 cm is measured as 4.02 cm, find the percentage error.

If the 6th term of an arithmetic progression is 11 and the first term is 1 , find the common difference.

Find the eleventh term of the progression 4 , 8 , 16 , …

Find the term that makes 3x^2 – 5x a perfect square

If 5 times a certain integer is subtracted from twice the square of the integer, the result is 63. Find the integer.

Solve the inequality 2x + 6 < 5(x – 3)

The circumference of a circle is not less than 88 cm. Find the range of values of the radius. Take π = 22/7

PQRS is a cyclic quadrilateral. If PQT and SRT are straight lines, find the value of x

Given that Y  is 20m on a bearing of 300° from X, how far south of Y is X?

The fraction x – 3/ x^2 – 5x + 6 is not defined when

The first term of an arithmetic progression is 8. If the tenth term is double the second term, the common difference is

Simplify x^2 – y^2 / x^2 + xy

In triangle XYZ, find the cosine of angle Z.

Find the smallest number by which 252 can be multiplied to obtain a perfect square

The nth term of the progression 4/2, 7/3, 10/4,13/5, …………………  is

A basket contains 9 apples, 8 bananas and 7 oranges. A fruit is picked from the basket, find the probability that it is neither an apple nor orange.

The angle of depression of a boat from the top of cliff 10m high is 30°. How far is the boat from the foot of the cliff?

If the mean of m, 3 , 2 ,7 , 5 is 5. Find the value of m

If x and y can take values from the set { 1 , 2 , 3 } , find the probability that the product of x and y is greater than 4.

Solve the equation : 6/n + 2 = 14/n

If 8k-4 = 6k -10 , find the value of 5k

Find the sum of x and y in the figure

In a certain village , the ratio of men to women is 30:40. If there are 600 men in the village, find the number of women.

If  m : n = 2 : 3, evaluate 3m + 2n/ 3m – n

What values of p will make p^2 – p / p(p + 1) equal to zero?

Find the sum to infinity of the series 0.5 + 0.05 + 0.005 + 0.0005 +……………………..

From the cyclic quadrilateral, find the value of m.

A chord of a circle of radius 7 cm is 5 cm from the centre of the circle. What is the length of the chord?

Find the value of x given that O is the centre of the circle

What is the probability of throwing a number greater than 2 with a single fair die?

Express r in terms of p and q in the equation

Given that m=2 and n = -3, Find the value of the equation below

Find the values of x and y if , y=3x and 4y=5x+14.

Round off 1.456 to the nearest tenth.

Express 34.99 in 1 decimal place.

Find the sum of the first thirty two terms of an A.P , if its first term is 0.5 and last term is 16.

Solve the quadratic equation 6 – q – q^2 = 0

Factorise completely 20x^2 – 5

If the sum of two numbers is 8 and the difference of their squares is also 8, what are the numbers?

Find the gradient of the line joining (2 , 3) and (3, 5).

The area of triangle ABC is 35 cm², if the altitude of the triangle is 7 cm. Find the base.

Find the complementary angle of 47°

Four angles of a pentagon are each equal to 120° What is the size of the fifth angle?

The ratio of the exterior angle to interior angle of a regular polygon is 1:5. How any sides has the polygon?

If 3 boys shared x oranges among themselves in the ratio 3:5:8 and the smallest share was 45 oranges, find the value of x.

Calculate the mean deviation of 2 , 3 , 7.

Find y, given that