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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 56 · 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? 23, 27, 31, 35, 39, ? (a) 47 (b) 43 (c) 44 (d) 42
  2. 2.What comes next? 23, 32, 41, 50, 59, ? (a) 69 (b) 68 (c) 77 (d) 67
  3. 3.What comes next? 50, 45, 40, 35, 30, ? (a) 24 (b) 25 (c) 26 (d) 20
  4. 4.What comes next? 20, 26, 32, 38, 44, ? (a) 49 (b) 50 (c) 51 (d) 56
  5. 5.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 72 (d) 81
  6. 6.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 96 (c) 97 (d) 72
  7. 7.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 120 (c) 161 (d) 160
  8. 8.What comes next? 13, 14, 16, 19, 23, ? (a) 28 (b) 29 (c) 27 (d) 30
  9. 9.What comes next? 33, 30, 27, 24, 21, ? (a) 17 (b) 15 (c) 18 (d) 19
  10. 10.What comes next? 44, 36, 28, 20, 12, ? (a) 4 (b) 6 (c) 3 (d) 5
  11. 11.What comes next? 25, 22, 19, 16, 13, ? (a) 7 (b) 9 (c) 11 (d) 10
  12. 12.What comes next? 12, 20, 28, 36, 44, ? (a) 60 (b) 53 (c) 52 (d) 51
  13. 13.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 128 (c) 160 (d) 129
  14. 14.What comes next? 25, 35, 45, 55, 65, ? (a) 76 (b) 85 (c) 74 (d) 75
  15. 15.What comes next? 5, 11, 7, 13, 9, 15, ? (a) 19 (b) 10 (c) 11 (d) 21
  16. 16.What comes next? 53, 47, 41, 35, 29, ? (a) 17 (b) 24 (c) 23 (d) 22
  17. 17.What comes next? 40, 34, 28, 22, 16, ? (a) 9 (b) 11 (c) 10 (d) 4
  18. 18.What comes next? 2, 5, 4, 7, 6, 9, ? (a) 7 (b) 8 (c) 12 (d) 10
  19. 19.What comes next? 4, 8, 7, 11, 10, 14, ? (a) 15 (b) 12 (c) 18 (d) 13
  20. 20.What comes next? 41, 37, 33, 29, 25, ? (a) 20 (b) 17 (c) 22 (d) 21
  21. 21.What comes next? 12, 18, 14, 20, 16, 22, ? (a) 18 (b) 26 (c) 17 (d) 28
  22. 22.What comes next? 15, 27, 39, 51, 63, ? (a) 74 (b) 76 (c) 75 (d) 87
  23. 23.What comes next? 16, 28, 40, 52, 64, ? (a) 77 (b) 75 (c) 88 (d) 76
  24. 24.What comes next? 22, 30, 38, 46, 54, ? (a) 63 (b) 70 (c) 62 (d) 61
  25. 25.What comes next? 15, 21, 27, 33, 39, ? (a) 45 (b) 44 (c) 46 (d) 51
  26. 26.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 48 (c) 65 (d) 80
  27. 27.What comes next? 17, 15, 13, 11, 9, ? (a) 7 (b) 8 (c) 6 (d) 5
  28. 28.What comes next? 20, 22, 24, 26, 28, ? (a) 29 (b) 31 (c) 30 (d) 32
  29. 29.What comes next? 7, 9, 12, 16, 21, ? (a) 26 (b) 28 (c) 29 (d) 27
  30. 30.What comes next? 25, 32, 39, 46, 53, ? (a) 67 (b) 61 (c) 59 (d) 60
  31. 31.What comes next? 25, 34, 43, 52, 61, ? (a) 69 (b) 79 (c) 70 (d) 71
  32. 32.What comes next? 16, 25, 19, 28, 22, 31, ? (a) 24 (b) 37 (c) 25 (d) 40
  33. 33.What comes next? 27, 23, 19, 15, 11, ? (a) 6 (b) 8 (c) 7 (d) 3
  34. 34.What comes next? 16, 19, 23, 28, 34, ? (a) 41 (b) 40 (c) 42 (d) 43
  35. 35.What comes next? 20, 23, 26, 29, 32, ? (a) 35 (b) 36 (c) 38 (d) 34
  36. 36.What comes next? 2, 4, 7, 11, 16, ? (a) 24 (b) 21 (c) 23 (d) 22
  37. 37.What comes next? 3, 4, 6, 9, 13, ? (a) 18 (b) 19 (c) 20 (d) 17
  38. 38.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 193 (c) 192 (d) 240
  39. 39.What comes next? 65, 57, 49, 41, 33, ? (a) 17 (b) 24 (c) 26 (d) 25
  40. 40.What comes next? 5, 7, 10, 14, 19, ? (a) 27 (b) 25 (c) 24 (d) 26

Answer key

  1. 43
  2. 68
  3. 25
  4. 50
  5. 81
  6. 96
  7. 160
  8. 28
  9. 18
  10. 4
  11. 10
  12. 52
  13. 128
  14. 75
  15. 11
  16. 23
  17. 10
  18. 8
  19. 13
  20. 21
  21. 18
  22. 75
  23. 76
  24. 62
  25. 45
  26. 64
  27. 7
  28. 30
  29. 27
  30. 60
  31. 70
  32. 25
  33. 7
  34. 41
  35. 35
  36. 22
  37. 18
  38. 192
  39. 25
  40. 25

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