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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 31 · 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? 37, 32, 27, 22, 17, ? (a) 11 (b) 13 (c) 12 (d) 7
  2. 2.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 240 (c) 192 (d) 144
  3. 3.What comes next? 13, 15, 17, 19, 21, ? (a) 22 (b) 25 (c) 24 (d) 23
  4. 4.What comes next? 6, 11, 16, 21, 26, ? (a) 32 (b) 36 (c) 30 (d) 31
  5. 5.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 180 (c) 162 (d) 144
  6. 6.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 216 (c) 270 (d) 243
  7. 7.What comes next? 7, 9, 12, 16, 21, ? (a) 29 (b) 28 (c) 27 (d) 26
  8. 8.What comes next? 21, 28, 35, 42, 49, ? (a) 57 (b) 63 (c) 56 (d) 55
  9. 9.What comes next? 2, 9, 6, 13, 10, 17, ? (a) 13 (b) 14 (c) 24 (d) 20
  10. 10.What comes next? 9, 12, 15, 18, 21, ? (a) 24 (b) 23 (c) 27 (d) 25
  11. 11.What comes next? 10, 17, 12, 19, 14, 21, ? (a) 16 (b) 28 (c) 26 (d) 15
  12. 12.What comes next? 2, 9, 4, 11, 6, 13, ? (a) 20 (b) 18 (c) 8 (d) 7
  13. 13.What comes next? 14, 21, 19, 26, 24, 31, ? (a) 29 (b) 33 (c) 28 (d) 38
  14. 14.What comes next? 41, 38, 35, 32, 29, ? (a) 23 (b) 25 (c) 26 (d) 27
  15. 15.What comes next? 38, 32, 26, 20, 14, ? (a) 8 (b) 2 (c) 9 (d) 7
  16. 16.What comes next? 23, 34, 45, 56, 67, ? (a) 77 (b) 79 (c) 89 (d) 78
  17. 17.What comes next? 3, 12, 21, 30, 39, ? (a) 48 (b) 47 (c) 49 (d) 57
  18. 18.What comes next? 13, 16, 20, 25, 31, ? (a) 40 (b) 39 (c) 38 (d) 37
  19. 19.What comes next? 30, 28, 26, 24, 22, ? (a) 21 (b) 18 (c) 20 (d) 19
  20. 20.What comes next? 7, 11, 16, 22, 29, ? (a) 39 (b) 38 (c) 36 (d) 37
  21. 21.What comes next? 2, 10, 3, 11, 4, 12, ? (a) 4 (b) 19 (c) 20 (d) 5
  22. 22.What comes next? 22, 29, 36, 43, 50, ? (a) 58 (b) 56 (c) 57 (d) 64
  23. 23.What comes next? 14, 22, 30, 38, 46, ? (a) 53 (b) 55 (c) 62 (d) 54
  24. 24.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 40 (c) 32 (d) 33
  25. 25.What comes next? 49, 41, 33, 25, 17, ? (a) 9 (b) 8 (c) 1 (d) 10
  26. 26.What comes next? 19, 22, 25, 28, 31, ? (a) 34 (b) 37 (c) 33 (d) 35
  27. 27.What comes next? 2, 8, 4, 10, 6, 12, ? (a) 8 (b) 16 (c) 7 (d) 18
  28. 28.What comes next? 16, 20, 25, 31, 38, ? (a) 47 (b) 46 (c) 48 (d) 45
  29. 29.What comes next? 11, 13, 16, 20, 25, ? (a) 33 (b) 32 (c) 30 (d) 31
  30. 30.What comes next? 43, 39, 35, 31, 27, ? (a) 23 (b) 24 (c) 19 (d) 22
  31. 31.What comes next? 59, 51, 43, 35, 27, ? (a) 19 (b) 18 (c) 20 (d) 11
  32. 32.What comes next? 18, 25, 32, 39, 46, ? (a) 54 (b) 53 (c) 52 (d) 60
  33. 33.What comes next? 7, 17, 27, 37, 47, ? (a) 56 (b) 57 (c) 58 (d) 67
  34. 34.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 161 (c) 160 (d) 200
  35. 35.What comes next? 19, 20, 22, 25, 29, ? (a) 33 (b) 35 (c) 34 (d) 36
  36. 36.What comes next? 49, 43, 37, 31, 25, ? (a) 20 (b) 13 (c) 18 (d) 19
  37. 37.What comes next? 28, 37, 46, 55, 64, ? (a) 72 (b) 82 (c) 73 (d) 74
  38. 38.What comes next? 37, 34, 31, 28, 25, ? (a) 19 (b) 23 (c) 21 (d) 22
  39. 39.What comes next? 28, 39, 50, 61, 72, ? (a) 84 (b) 83 (c) 82 (d) 94
  40. 40.What comes next? 5, 17, 29, 41, 53, ? (a) 77 (b) 66 (c) 64 (d) 65

Answer key

  1. 12
  2. 192
  3. 23
  4. 31
  5. 162
  6. 243
  7. 27
  8. 56
  9. 14
  10. 24
  11. 16
  12. 8
  13. 29
  14. 26
  15. 8
  16. 78
  17. 48
  18. 38
  19. 20
  20. 37
  21. 5
  22. 57
  23. 54
  24. 32
  25. 9
  26. 34
  27. 8
  28. 46
  29. 31
  30. 23
  31. 19
  32. 53
  33. 57
  34. 160
  35. 34
  36. 19
  37. 73
  38. 22
  39. 83
  40. 65

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