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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 432 · 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? 15, 18, 22, 27, 33, ? (a) 42 (b) 40 (c) 41 (d) 39
  2. 2.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 33 (c) 32 (d) 40
  3. 3.What comes next? 17, 27, 37, 47, 57, ? (a) 77 (b) 68 (c) 67 (d) 66
  4. 4.What comes next? 9, 11, 14, 18, 23, ? (a) 31 (b) 30 (c) 28 (d) 29
  5. 5.What comes next? 2, 12, 22, 32, 42, ? (a) 53 (b) 51 (c) 52 (d) 62
  6. 6.What comes next? 26, 22, 18, 14, 10, ? (a) 2 (b) 7 (c) 5 (d) 6
  7. 7.What comes next? 32, 28, 24, 20, 16, ? (a) 13 (b) 12 (c) 11 (d) 8
  8. 8.What comes next? 27, 22, 17, 12, 7, ? (a) 3 (b) 2 (c) 1 (d) 4
  9. 9.What comes next? 59, 53, 47, 41, 35, ? (a) 30 (b) 28 (c) 23 (d) 29
  10. 10.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 90 (c) 45 (d) 81
  11. 11.What comes next? 43, 36, 29, 22, 15, ? (a) 7 (b) 9 (c) 1 (d) 8
  12. 12.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 65 (c) 80 (d) 64
  13. 13.What comes next? 27, 24, 21, 18, 15, ? (a) 9 (b) 12 (c) 11 (d) 13
  14. 14.What comes next? 16, 28, 40, 52, 64, ? (a) 75 (b) 88 (c) 77 (d) 76
  15. 15.What comes next? 17, 20, 19, 22, 21, 24, ? (a) 27 (b) 22 (c) 25 (d) 23
  16. 16.What comes next? 27, 34, 41, 48, 55, ? (a) 62 (b) 69 (c) 63 (d) 61
  17. 17.What comes next? 4, 7, 5, 8, 6, 9, ? (a) 7 (b) 6 (c) 12 (d) 11
  18. 18.What comes next? 59, 52, 45, 38, 31, ? (a) 23 (b) 24 (c) 17 (d) 25
  19. 19.What comes next? 25, 36, 47, 58, 69, ? (a) 81 (b) 91 (c) 79 (d) 80
  20. 20.What comes next? 34, 30, 26, 22, 18, ? (a) 13 (b) 10 (c) 15 (d) 14
  21. 21.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 96 (c) 120 (d) 72
  22. 22.What comes next? 3, 5, 8, 12, 17, ? (a) 22 (b) 25 (c) 24 (d) 23
  23. 23.What comes next? 60, 54, 48, 42, 36, ? (a) 31 (b) 29 (c) 30 (d) 24
  24. 24.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 270 (c) 216 (d) 135
  25. 25.What comes next? 27, 29, 31, 33, 35, ? (a) 39 (b) 38 (c) 36 (d) 37
  26. 26.What comes next? 10, 15, 20, 25, 30, ? (a) 40 (b) 36 (c) 34 (d) 35
  27. 27.What comes next? 5, 8, 6, 9, 7, 10, ? (a) 7 (b) 8 (c) 13 (d) 12
  28. 28.What comes next? 18, 27, 22, 31, 26, 35, ? (a) 40 (b) 30 (c) 44 (d) 29
  29. 29.What comes next? 29, 32, 35, 38, 41, ? (a) 45 (b) 47 (c) 44 (d) 43
  30. 30.What comes next? 5, 9, 14, 20, 27, ? (a) 34 (b) 36 (c) 37 (d) 35
  31. 31.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 90 (c) 180 (d) 144
  32. 32.What comes next? 18, 29, 40, 51, 62, ? (a) 73 (b) 74 (c) 84 (d) 72
  33. 33.What comes next? 44, 41, 38, 35, 32, ? (a) 26 (b) 28 (c) 30 (d) 29
  34. 34.What comes next? 62, 55, 48, 41, 34, ? (a) 26 (b) 27 (c) 20 (d) 28
  35. 35.What comes next? 11, 15, 20, 26, 33, ? (a) 42 (b) 43 (c) 40 (d) 41
  36. 36.What comes next? 29, 24, 19, 14, 9, ? (a) 5 (b) 6 (c) 4 (d) 3
  37. 37.What comes next? 22, 20, 18, 16, 14, ? (a) 11 (b) 12 (c) 10 (d) 13
  38. 38.What comes next? 11, 20, 19, 28, 27, 36, ? (a) 34 (b) 37 (c) 45 (d) 35
  39. 39.What comes next? 43, 35, 27, 19, 11, ? (a) 2 (b) 3 (c) 5 (d) 4
  40. 40.What comes next? 52, 45, 38, 31, 24, ? (a) 18 (b) 10 (c) 16 (d) 17

Answer key

  1. 40
  2. 32
  3. 67
  4. 29
  5. 52
  6. 6
  7. 12
  8. 2
  9. 29
  10. 81
  11. 8
  12. 64
  13. 12
  14. 76
  15. 23
  16. 62
  17. 7
  18. 24
  19. 80
  20. 14
  21. 96
  22. 23
  23. 30
  24. 243
  25. 37
  26. 35
  27. 8
  28. 30
  29. 44
  30. 35
  31. 162
  32. 73
  33. 29
  34. 27
  35. 41
  36. 4
  37. 12
  38. 35
  39. 3
  40. 17

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