Maths Practice (Interactive)
GCSE — Maths Practice
10 auto-graded practice problems. Select an answer, submit, and review the explanation.
Number
Find the highest common factor (HCF) of 24 and 36.
A shirt originally costs 40 pounds and is reduced by 15% in a sale. What is the sale price?
Algebra
Factorise fully: 2x^2 + 8x
Solve the inequality: 3x - 5 > 13
Geometry
A right-angled triangle has sides of length 5 cm and 12 cm (excluding the hypotenuse). What is the length of the hypotenuse?
A cylinder has a radius of 5 cm and a height of 10 cm. What is its volume? (Give your answer in terms of pi.)
Statistics
The five numbers 3, 7, 4, 9, 7 are arranged in ascending order: 3, 4, 7, 7, 9. What is the median?
A bag contains 3 red balls, 5 blue balls, and 2 green balls. A ball is picked at random. What is the probability it is not blue?
Ratio and Proportion
The ratio of boys to girls in a class is 3:5. If there are 40 students in total, how many boys are there?
If y is directly proportional to x, and y = 8 when x = 2, what is the value of y when x = 7?