11+ Practice (England) · Numerical and Spatial Reasoning

Number Patterns, Shapes and Directions

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

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

All 30 questions

  1. How many sides does a hexagon have?
  2. A square is turned a quarter turn clockwise. How many degrees has it turned?
  3. Which shape has exactly one line of symmetry?
  4. How many faces does a cube have?
  5. How many edges does a cube have?
  6. How many vertices (corners) does a triangular prism have?
  7. What comes next in the pattern: circle, square, triangle, circle, square, ?
  8. A pattern uses 1, 3, 5, 7 shaded squares in the first four steps. How many are shaded in step 5?
  9. A clock shows 3 o'clock. What time does its mirror image show?
  10. How many right angles does a rectangle have?
  11. Which solid shape can be made from a net of four triangles?
  12. A square sheet of paper is folded in half twice, and one hole is punched through the middle of the folded paper. How many holes are there when it is unfolded?
  13. You face north and turn 90 degrees clockwise. Which direction do you now face?
  14. You face south and turn 180 degrees. Which direction do you now face?
  15. You face east and turn 270 degrees anticlockwise. Which direction do you now face?
  16. Two numbers add up to 20, and their difference is 4. What is the larger number?
  17. I think of a number, double it and add 5. The answer is 19. What was my number?
  18. Which number is missing: 7, 14, 21, ?, 35?
  19. What is the number ? in ? divided by 6 = 7?
  20. Which number is the odd one out: 2, 4, 9, 12, 20?
  21. Which of these numbers is not a multiple of 3: 12, 21, 28, 33?
  22. Which of these numbers is a prime number: 21, 27, 29, 33?
  23. Which number comes next: 1, 2, 4, 8, 16, ?
  24. Which number comes next: 100, 90, 81, 73, ?
  25. Which number comes next: 1, 1, 2, 3, 5, 8, ?
  26. Which number comes next: 80, 40, 20, 10, ?
  27. A bus leaves at 8:00 a.m. and then every 15 minutes. At what time does the fifth bus leave?
  28. There are 20 children in a row. Ana is eighth from the left. What position is she from the right?
  29. Tom has twice as many marbles as Ria. Together they have 27. How many does Tom have?
  30. Which number multiplied by itself gives 49?

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