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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 84 · 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? 17, 19, 22, 26, 31, ? (a) 39 (b) 38 (c) 36 (d) 37
  2. 2.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 65 (c) 48 (d) 80
  3. 3.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 216 (c) 243 (d) 270
  4. 4.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 144 (c) 193 (d) 192
  5. 5.What comes next? 70, 61, 52, 43, 34, ? (a) 16 (b) 24 (c) 25 (d) 26
  6. 6.What comes next? 12, 16, 21, 27, 34, ? (a) 44 (b) 43 (c) 42 (d) 41
  7. 7.What comes next? 42, 34, 26, 18, 10, ? (a) 1 (b) 3 (c) 4 (d) 2
  8. 8.What comes next? 23, 21, 19, 17, 15, ? (a) 14 (b) 12 (c) 11 (d) 13
  9. 9.What comes next? 62, 53, 44, 35, 26, ? (a) 17 (b) 18 (c) 16 (d) 8
  10. 10.What comes next? 15, 21, 16, 22, 17, 23, ? (a) 17 (b) 28 (c) 29 (d) 18
  11. 11.What comes next? 2, 5, 9, 14, 20, ? (a) 29 (b) 28 (c) 26 (d) 27
  12. 12.What comes next? 10, 15, 14, 19, 18, 23, ? (a) 22 (b) 24 (c) 28 (d) 21
  13. 13.What comes next? 15, 22, 18, 25, 21, 28, ? (a) 35 (b) 23 (c) 32 (d) 24
  14. 14.What comes next? 2, 4, 7, 11, 16, ? (a) 21 (b) 24 (c) 23 (d) 22
  15. 15.What comes next? 8, 14, 20, 26, 32, ? (a) 44 (b) 38 (c) 39 (d) 37
  16. 16.What comes next? 15, 23, 20, 28, 25, 33, ? (a) 29 (b) 30 (c) 36 (d) 41
  17. 17.What comes next? 41, 35, 29, 23, 17, ? (a) 5 (b) 11 (c) 10 (d) 12
  18. 18.What comes next? 4, 12, 9, 17, 14, 22, ? (a) 25 (b) 30 (c) 18 (d) 19
  19. 19.What comes next? 2, 14, 26, 38, 50, ? (a) 63 (b) 61 (c) 74 (d) 62
  20. 20.What comes next? 57, 50, 43, 36, 29, ? (a) 15 (b) 21 (c) 23 (d) 22
  21. 21.What comes next? 24, 21, 18, 15, 12, ? (a) 9 (b) 8 (c) 6 (d) 10
  22. 22.What comes next? 3, 4, 6, 9, 13, ? (a) 18 (b) 19 (c) 20 (d) 17
  23. 23.What comes next? 21, 26, 31, 36, 41, ? (a) 51 (b) 45 (c) 46 (d) 47
  24. 24.What comes next? 12, 10, 8, 6, 4, ? (a) 4 (b) 3 (c) 2 (d) 1
  25. 25.What comes next? 18, 19, 21, 24, 28, ? (a) 33 (b) 35 (c) 32 (d) 34
  26. 26.What comes next? 2, 12, 22, 32, 42, ? (a) 52 (b) 51 (c) 62 (d) 53
  27. 27.What comes next? 5, 11, 6, 12, 7, 13, ? (a) 19 (b) 18 (c) 8 (d) 7
  28. 28.What comes next? 14, 16, 19, 23, 28, ? (a) 33 (b) 36 (c) 34 (d) 35
  29. 29.What comes next? 34, 32, 30, 28, 26, ? (a) 22 (b) 25 (c) 23 (d) 24
  30. 30.What comes next? 17, 25, 33, 41, 49, ? (a) 58 (b) 56 (c) 57 (d) 65
  31. 31.What comes next? 8, 11, 14, 17, 20, ? (a) 22 (b) 26 (c) 24 (d) 23
  32. 32.What comes next? 20, 21, 23, 26, 30, ? (a) 35 (b) 37 (c) 34 (d) 36
  33. 33.What comes next? 28, 39, 50, 61, 72, ? (a) 84 (b) 94 (c) 83 (d) 82
  34. 34.What comes next? 10, 18, 26, 34, 42, ? (a) 49 (b) 50 (c) 51 (d) 58
  35. 35.What comes next? 16, 19, 17, 20, 18, 21, ? (a) 19 (b) 23 (c) 24 (d) 18
  36. 36.What comes next? 5, 9, 7, 11, 9, 13, ? (a) 17 (b) 11 (c) 10 (d) 15
  37. 37.What comes next? 12, 14, 17, 21, 26, ? (a) 34 (b) 32 (c) 31 (d) 33
  38. 38.What comes next? 6, 8, 10, 12, 14, ? (a) 18 (b) 15 (c) 16 (d) 17
  39. 39.What comes next? 6, 18, 30, 42, 54, ? (a) 65 (b) 67 (c) 66 (d) 78
  40. 40.What comes next? 11, 9, 7, 5, 3, ? (a) 4 (b) 3 (c) 1 (d) 2

Answer key

  1. 37
  2. 64
  3. 243
  4. 192
  5. 25
  6. 42
  7. 2
  8. 13
  9. 17
  10. 18
  11. 27
  12. 22
  13. 24
  14. 22
  15. 38
  16. 30
  17. 11
  18. 19
  19. 62
  20. 22
  21. 9
  22. 18
  23. 46
  24. 2
  25. 33
  26. 52
  27. 8
  28. 34
  29. 24
  30. 57
  31. 23
  32. 35
  33. 83
  34. 50
  35. 19
  36. 11
  37. 32
  38. 16
  39. 66
  40. 1

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