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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 42 · 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? 3, 10, 8, 15, 13, 20, ? (a) 22 (b) 27 (c) 17 (d) 18
  2. 2.What comes next? 9, 17, 10, 18, 11, 19, ? (a) 26 (b) 12 (c) 11 (d) 27
  3. 3.What comes next? 9, 14, 19, 24, 29, ? (a) 33 (b) 35 (c) 34 (d) 39
  4. 4.What comes next? 43, 38, 33, 28, 23, ? (a) 13 (b) 17 (c) 19 (d) 18
  5. 5.What comes next? 2, 8, 14, 20, 26, ? (a) 38 (b) 32 (c) 33 (d) 31
  6. 6.What comes next? 20, 24, 29, 35, 42, ? (a) 52 (b) 50 (c) 51 (d) 49
  7. 7.What comes next? 16, 20, 19, 23, 22, 26, ? (a) 24 (b) 30 (c) 25 (d) 27
  8. 8.What comes next? 4, 5, 7, 10, 14, ? (a) 18 (b) 21 (c) 20 (d) 19
  9. 9.What comes next? 12, 21, 30, 39, 48, ? (a) 58 (b) 66 (c) 57 (d) 56
  10. 10.What comes next? 50, 44, 38, 32, 26, ? (a) 21 (b) 20 (c) 19 (d) 14
  11. 11.What comes next? 12, 14, 17, 21, 26, ? (a) 33 (b) 32 (c) 34 (d) 31
  12. 12.What comes next? 5, 9, 13, 17, 21, ? (a) 26 (b) 24 (c) 29 (d) 25
  13. 13.What comes next? 11, 9, 7, 5, 3, ? (a) 4 (b) 1 (c) 2 (d) 3
  14. 14.What comes next? 7, 9, 12, 16, 21, ? (a) 27 (b) 26 (c) 29 (d) 28
  15. 15.What comes next? 37, 31, 25, 19, 13, ? (a) 1 (b) 6 (c) 7 (d) 8
  16. 16.What comes next? 34, 29, 24, 19, 14, ? (a) 8 (b) 4 (c) 10 (d) 9
  17. 17.What comes next? 23, 33, 43, 53, 63, ? (a) 74 (b) 72 (c) 83 (d) 73
  18. 18.What comes next? 17, 28, 39, 50, 61, ? (a) 73 (b) 72 (c) 71 (d) 83
  19. 19.What comes next? 2, 4, 7, 11, 16, ? (a) 22 (b) 24 (c) 23 (d) 21
  20. 20.What comes next? 16, 19, 23, 28, 34, ? (a) 42 (b) 43 (c) 40 (d) 41
  21. 21.What comes next? 16, 14, 12, 10, 8, ? (a) 6 (b) 7 (c) 5 (d) 4
  22. 22.What comes next? 27, 30, 33, 36, 39, ? (a) 45 (b) 43 (c) 42 (d) 41
  23. 23.What comes next? 27, 23, 19, 15, 11, ? (a) 7 (b) 6 (c) 3 (d) 8
  24. 24.What comes next? 52, 46, 40, 34, 28, ? (a) 16 (b) 21 (c) 22 (d) 23
  25. 25.What comes next? 26, 24, 22, 20, 18, ? (a) 16 (b) 14 (c) 15 (d) 17
  26. 26.What comes next? 2, 10, 18, 26, 34, ? (a) 41 (b) 43 (c) 50 (d) 42
  27. 27.What comes next? 7, 16, 25, 34, 43, ? (a) 61 (b) 53 (c) 51 (d) 52
  28. 28.What comes next? 1, 5, 2, 6, 3, 7, ? (a) 3 (b) 11 (c) 4 (d) 10
  29. 29.What comes next? 18, 27, 36, 45, 54, ? (a) 72 (b) 64 (c) 62 (d) 63
  30. 30.What comes next? 30, 36, 42, 48, 54, ? (a) 59 (b) 66 (c) 61 (d) 60
  31. 31.What comes next? 17, 26, 20, 29, 23, 32, ? (a) 26 (b) 38 (c) 41 (d) 25
  32. 32.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 192 (c) 144 (d) 193
  33. 33.What comes next? 10, 14, 19, 25, 32, ? (a) 39 (b) 41 (c) 42 (d) 40
  34. 34.What comes next? 5, 6, 8, 11, 15, ? (a) 20 (b) 19 (c) 21 (d) 22
  35. 35.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 144 (c) 180 (d) 162
  36. 36.What comes next? 28, 40, 52, 64, 76, ? (a) 100 (b) 89 (c) 87 (d) 88
  37. 37.What comes next? 9, 13, 12, 16, 15, 19, ? (a) 17 (b) 23 (c) 18 (d) 20
  38. 38.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 216 (c) 243 (d) 270
  39. 39.What comes next? 8, 11, 14, 17, 20, ? (a) 24 (b) 22 (c) 26 (d) 23
  40. 40.What comes next? 48, 44, 40, 36, 32, ? (a) 29 (b) 24 (c) 27 (d) 28

Answer key

  1. 18
  2. 12
  3. 34
  4. 18
  5. 32
  6. 50
  7. 25
  8. 19
  9. 57
  10. 20
  11. 32
  12. 25
  13. 1
  14. 27
  15. 7
  16. 9
  17. 73
  18. 72
  19. 22
  20. 41
  21. 6
  22. 42
  23. 7
  24. 22
  25. 16
  26. 42
  27. 52
  28. 4
  29. 63
  30. 60
  31. 26
  32. 192
  33. 40
  34. 20
  35. 162
  36. 88
  37. 18
  38. 243
  39. 23
  40. 28

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