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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 536 · 40 questions
TalentJR

How to solve it (Look at the gaps): Look at two numbers side by side and find the jump: 5 → 10 is a jump of +5. Is the jump the same every time? Then add the same jump once more to the last number. Going down? Take away the same jump. Harder patterns: the jump can grow (+2, +3, +4 …) or the numbers can double (2, 4, 8, 16 …).

NameDateTime takenScore ___ / 40
  1. 1.What comes next? 33, 28, 23, 18, 13, ? (a) 3 (b) 9 (c) 8 (d) 7
  2. 2.What comes next? 10, 16, 14, 20, 18, 24, ? (a) 21 (b) 30 (c) 22 (d) 26
  3. 3.What comes next? 10, 17, 16, 23, 22, 29, ? (a) 30 (b) 36 (c) 28 (d) 27
  4. 4.What comes next? 2, 12, 22, 32, 42, ? (a) 53 (b) 52 (c) 51 (d) 62
  5. 5.What comes next? 8, 11, 15, 20, 26, ? (a) 33 (b) 35 (c) 34 (d) 32
  6. 6.What comes next? 30, 34, 38, 42, 46, ? (a) 51 (b) 49 (c) 54 (d) 50
  7. 7.What comes next? 40, 37, 34, 31, 28, ? (a) 26 (b) 25 (c) 22 (d) 24
  8. 8.What comes next? 16, 20, 17, 21, 18, 22, ? (a) 19 (b) 26 (c) 18 (d) 25
  9. 9.What comes next? 28, 31, 34, 37, 40, ? (a) 42 (b) 44 (c) 43 (d) 46
  10. 10.What comes next? 4, 8, 12, 16, 20, ? (a) 25 (b) 23 (c) 24 (d) 28
  11. 11.What comes next? 26, 33, 40, 47, 54, ? (a) 62 (b) 61 (c) 68 (d) 60
  12. 12.What comes next? 22, 20, 18, 16, 14, ? (a) 12 (b) 13 (c) 11 (d) 10
  13. 13.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 81 (d) 72
  14. 14.What comes next? 38, 33, 28, 23, 18, ? (a) 8 (b) 14 (c) 13 (d) 12
  15. 15.What comes next? 17, 19, 22, 26, 31, ? (a) 36 (b) 38 (c) 37 (d) 39
  16. 16.What comes next? 64, 56, 48, 40, 32, ? (a) 23 (b) 16 (c) 25 (d) 24
  17. 17.What comes next? 16, 28, 40, 52, 64, ? (a) 77 (b) 88 (c) 76 (d) 75
  18. 18.What comes next? 7, 15, 10, 18, 13, 21, ? (a) 15 (b) 26 (c) 29 (d) 16
  19. 19.What comes next? 28, 38, 48, 58, 68, ? (a) 78 (b) 88 (c) 79 (d) 77
  20. 20.What comes next? 6, 10, 7, 11, 8, 12, ? (a) 9 (b) 16 (c) 15 (d) 8
  21. 21.What comes next? 11, 12, 14, 17, 21, ? (a) 28 (b) 26 (c) 27 (d) 25
  22. 22.What comes next? 28, 39, 50, 61, 72, ? (a) 94 (b) 83 (c) 82 (d) 84
  23. 23.What comes next? 15, 18, 21, 24, 27, ? (a) 33 (b) 29 (c) 31 (d) 30
  24. 24.What comes next? 16, 23, 30, 37, 44, ? (a) 50 (b) 51 (c) 58 (d) 52
  25. 25.What comes next? 13, 22, 19, 28, 25, 34, ? (a) 31 (b) 30 (c) 37 (d) 43
  26. 26.What comes next? 47, 40, 33, 26, 19, ? (a) 5 (b) 13 (c) 12 (d) 11
  27. 27.What comes next? 5, 9, 14, 20, 27, ? (a) 36 (b) 34 (c) 35 (d) 37
  28. 28.What comes next? 2, 10, 9, 17, 16, 24, ? (a) 32 (b) 23 (c) 22 (d) 25
  29. 29.What comes next? 50, 46, 42, 38, 34, ? (a) 30 (b) 29 (c) 31 (d) 26
  30. 30.What comes next? 4, 8, 13, 19, 26, ? (a) 35 (b) 36 (c) 34 (d) 33
  31. 31.What comes next? 6, 14, 13, 21, 20, 28, ? (a) 36 (b) 27 (c) 26 (d) 29
  32. 32.What comes next? 40, 34, 28, 22, 16, ? (a) 9 (b) 4 (c) 10 (d) 11
  33. 33.What comes next? 27, 39, 51, 63, 75, ? (a) 99 (b) 88 (c) 86 (d) 87
  34. 34.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 64 (c) 48 (d) 80
  35. 35.What comes next? 3, 5, 8, 12, 17, ? (a) 24 (b) 23 (c) 22 (d) 25
  36. 36.What comes next? 18, 21, 25, 30, 36, ? (a) 42 (b) 43 (c) 44 (d) 45
  37. 37.What comes next? 13, 16, 14, 17, 15, 18, ? (a) 15 (b) 21 (c) 20 (d) 16
  38. 38.What comes next? 41, 33, 25, 17, 9, ? (a) 3 (b) 2 (c) 4 (d) 1
  39. 39.What comes next? 51, 43, 35, 27, 19, ? (a) 11 (b) 10 (c) 12 (d) 3
  40. 40.What comes next? 4, 11, 5, 12, 6, 13, ? (a) 20 (b) 19 (c) 6 (d) 7

Answer key

  1. 8
  2. 22
  3. 28
  4. 52
  5. 33
  6. 50
  7. 25
  8. 19
  9. 43
  10. 24
  11. 61
  12. 12
  13. 81
  14. 13
  15. 37
  16. 24
  17. 76
  18. 16
  19. 78
  20. 9
  21. 26
  22. 83
  23. 30
  24. 51
  25. 31
  26. 12
  27. 35
  28. 23
  29. 30
  30. 34
  31. 27
  32. 10
  33. 87
  34. 64
  35. 23
  36. 43
  37. 16
  38. 1
  39. 11
  40. 7

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