11+ Practice (England) · Maths

Shape, Measures, Data and Algebra

26 practice questions, each with the answer and an explanation.

Practise Shape, Measures, Data and Algebra now

Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 26 questions

  1. A rectangle is 12 cm long and 7 cm wide. What is its perimeter?
  2. What is the area of a rectangle that is 9 cm long and 6 cm wide?
  3. A right-angled triangle has a base of 10 cm and a height of 7 cm. What is its area?
  4. Three angles lie along a straight line. Two of them are 47 degrees and 88 degrees. What is the third angle?
  5. What is the size of each interior angle of a regular pentagon?
  6. An L-shape is made by cutting a 4 cm by 3 cm rectangle from a corner of a 10 cm by 8 cm rectangle. What is the area of the L-shape?
  7. A cube has a volume of 64 cubic centimetres. What is its total surface area?
  8. What is the median of these numbers? 3, 9, 4, 12, 7
  9. The mean of five numbers is 8. The mean of three of them is 6. What is the mean of the other two?
  10. A bag contains 5 red, 3 blue and 2 green counters. One counter is taken at random. What is the probability that it is not blue?
  11. Two fair six-sided dice are rolled together. What is the probability that the two numbers add up to 7?
  12. Solve 3x + 7 = 31.
  13. Solve 5(x - 2) = 35.
  14. The length of a rectangle is twice its width. Its perimeter is 54 cm. What is its area?
  15. The angles of a triangle are x, x + 20 and x + 40 degrees. What is the size of the largest angle?
  16. A floor measures 3 m by 2 m. It is covered with square tiles that are 50 cm by 50 cm. How many tiles are needed?
  17. Of 60 pupils, 18 chose football, 12 chose swimming, 9 chose tennis and 21 chose hockey. What fraction chose swimming?
  18. In a pie chart of 60 pupils, 18 chose football. What angle is the football sector?
  19. The point (3, 2) is turned 90 degrees clockwise about the origin. What are its new coordinates?
  20. What is the midpoint of the line joining (2, 3) and (8, 11)?
  21. How many lines of symmetry does a regular hexagon have?
  22. A circle has a radius of 7 cm. Taking pi as 22/7, what is its area?
  23. I think of a number, double it and subtract 5. The answer is 3 more than my original number. What was my number?
  24. A father is four times as old as his son. In 6 years' time he will be three times as old as his son. How old is the son now?
  25. How many edges does a triangular prism have?
  26. Each exterior angle of a regular polygon is 40 degrees. How many sides does it have?

Keep practising

More 11+ Practice (England) topics

All 11+ Practice (England) practice →

Ready for the full 11+ Practice (England) test?

Take a mock test11+ Practice (England) hub