Independent School Entrance (ISEB Pre-Test and 11+ CEM style) · Numerical Reasoning

Number sequences and patterns

27 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 27 questions

  1. What is the next number in the sequence 4, 13, 28, 49, 76, 109, ... ?
  2. What is the next number in the sequence 5, 12, 21, 32, 45, 60, ... ?
  3. What is the next number in the sequence 2, 6, 12, 20, 30, 42, ... ?
  4. What is the next number in the sequence 1, 3, 7, 15, 31, 63, ... ?
  5. What is the next number in the sequence -1, 5, 15, 29, 47, 69, ... ?
  6. What is the next number in the sequence 3, 15, 35, 63, 99, 143, ... ?
  7. What is the next number in the sequence 3, 7, 19, 55, 163, ... ?
  8. What is the next number in the sequence 2, 7, 17, 37, 77, ... ?
  9. What is the next number in the sequence 100, 52, 28, 16, 10, ... ?
  10. What is the next number in the sequence 4, 7, 14, 17, 34, 37, ... ?
  11. What is the next number in the sequence 3, 6, 5, 10, 9, 18, 17, ... ?
  12. What is the next number in the sequence 2, 5, 7, 12, 19, 31, ... ?
  13. What is the next number in the sequence 1, 2, 4, 7, 13, 24, ... ?
  14. What is the next number in the sequence 3, 20, 6, 17, 9, 14, 12, ... ?
  15. What is the next number in the sequence 0, 7, 26, 63, 124, ... ?
  16. What is the next number in the sequence 99, 80, 63, 48, 35, 24, ... ?
  17. What is the next number in the sequence 3, 6, 11, 20, 37, ... ?
  18. What is the next number in the sequence 4, 5, 7, 11, 19, 35, ... ?
  19. What is the next number in the sequence 1, 2, 6, 24, 120, ... ?
  20. What is the missing number in the sequence 7, 11, 19, ?, 67?
  21. What is the next number in the sequence 0.5, 1.1, 1.7, 2.3, 2.9, ... ?
  22. What is the next number in the sequence 20, 13, 6, -1, -8, ... ?
  23. What is the next term in the sequence 1/2, 2/3, 3/4, 4/5, ... ?
  24. What is the next number in the sequence 1000, 500, 250, 125, 62.5, ... ?
  25. What digit goes in the box to make the number 3□72 divisible by 9?
  26. In each row, the third number follows the same rule from the first two. Row 1: 5, 3, 22. Row 2: 6, 4, 32. Row 3: 7, 5, ?. What is the missing number?
  27. If 3 ★ 2 = 11, 4 ★ 3 = 19 and 5 ★ 1 = 26, what is 6 ★ 4?

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