Live Challenges

If 23 base n = 1111 base 2, find n

Find the range of values for which this inequality holds.

Find the median of 4,12,16,10,8,18,20,6

Find the base of the addition 345 +453 = 1131

Sum up 12,24 and 32 in modulo 15.

The volume of a cube is 125cm^3 Find the length of it edges.

Evaluate 27 = 3^(2x – 1)

Find the value of  m for which

Given the set {1,2,3} , how many are the possible subsets?

Make r  the subject of the formula t= 3p/r + s

If x – 3 is directly proportional to the square of y and x . Find x when  y = 6

y is inversely proportional to x^2. When y =10, x = 2. what is y when x = 10

If p = {3,9,11,13} and Q = {3,7,9,15}. List p n Q

Factorise 12m^2 – 4mn – 5n^2

Solve the equation 169 = x^2

In the diagram, PQ is parallel to RS. Find the angle of x.

If the exterior angles of a triangle are x^°, (2x + 5)° and (2x – 10)°, find x

If sin x = cos 60°, what is the value of x?

Calculate the perimeter in term of  pie of a semi -circle with diameter of 10 cm.

If R = h/2 + d^2/8h, make  the subject of the formula.

Find the size of an exterior angle of a regular octagon

Simplify a/4 +2a/3 – a/12

 In the Venn diagram, the area shaded represents

Express 4 164.086 correct to 2 s.f.

In a test the mean mark of four students was 61. The median was 60 and the mode was 57. What was the highest mark?

A student got 78 marks out of a possible 129. Express the student’s mark as a percentage.

Find m if m = x + y + z

x varies directly y with  and y varies inversely as the square of  z. Which of the following is the relationship between x and z

Find the range of 1/6, 1/3, 3/2, 2/3, 8/9 and 4/3

Calculate the median for this set of numbers: 3,2,6,8,9,6,8,12,11,12

Construct a quadratic equation whose roots are -2 and 1/3

Find the coefficient of t in (3t – 8) (3t + 8)

Express 0.0000306 in standard form.

What is the value of x in this figure?

Find the reciprocal of  2/5 Divide by 1/5 + 1/2

Simplify the equation below

Solve the equation 3x/4 + x/3 = 7/12

Find the missing angle.

Find the perimeter of a square whose side is of length 12cm.

Find the product of 3 and 7 in mod 4.

Solve 2(x – 1) + 3x = -13

If Q = {3,5,6} and P= {1,2,3,4}, find P U Q

Find the cardinality of the prime numbers from 1 to 20

If the radius of a circle is three-quarter of 16 cm, find the area of the circle in terms of pie

Given that (5,r,13) forms pythagoras triple, find r

Simplify 2 2/3 – (2 1/2 – 1 4/5)

Find the mode of the distribution

Find the median of the distribution

The product of two numbers is 2/3 and one of the number is  5/4, what is the other number?