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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 217 · 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? 4, 8, 16, 32, 64, ? (a) 96 (b) 160 (c) 128 (d) 129
  2. 2.What comes next? 54, 46, 38, 30, 22, ? (a) 14 (b) 13 (c) 15 (d) 6
  3. 3.What comes next? 7, 10, 14, 19, 25, ? (a) 32 (b) 34 (c) 31 (d) 33
  4. 4.What comes next? 4, 7, 10, 13, 16, ? (a) 20 (b) 22 (c) 19 (d) 18
  5. 5.What comes next? 5, 8, 7, 10, 9, 12, ? (a) 13 (b) 11 (c) 15 (d) 10
  6. 6.What comes next? 42, 34, 26, 18, 10, ? (a) 2 (b) 4 (c) 1 (d) 3
  7. 7.What comes next? 28, 31, 34, 37, 40, ? (a) 44 (b) 46 (c) 42 (d) 43
  8. 8.What comes next? 19, 17, 15, 13, 11, ? (a) 8 (b) 7 (c) 10 (d) 9
  9. 9.What comes next? 23, 35, 47, 59, 71, ? (a) 82 (b) 83 (c) 84 (d) 95
  10. 10.What comes next? 19, 28, 27, 36, 35, 44, ? (a) 53 (b) 45 (c) 43 (d) 42
  11. 11.What comes next? 8, 14, 11, 17, 14, 20, ? (a) 16 (b) 23 (c) 17 (d) 26
  12. 12.What comes next? 21, 30, 39, 48, 57, ? (a) 66 (b) 65 (c) 75 (d) 67
  13. 13.What comes next? 6, 9, 13, 18, 24, ? (a) 33 (b) 32 (c) 31 (d) 30
  14. 14.What comes next? 2, 9, 7, 14, 12, 19, ? (a) 16 (b) 21 (c) 26 (d) 17
  15. 15.What comes next? 29, 39, 49, 59, 69, ? (a) 79 (b) 89 (c) 78 (d) 80
  16. 16.What comes next? 16, 20, 25, 31, 38, ? (a) 46 (b) 47 (c) 45 (d) 48
  17. 17.What comes next? 17, 23, 18, 24, 19, 25, ? (a) 20 (b) 30 (c) 19 (d) 31
  18. 18.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 193 (c) 192 (d) 240
  19. 19.What comes next? 38, 36, 34, 32, 30, ? (a) 29 (b) 26 (c) 28 (d) 27
  20. 20.What comes next? 35, 33, 31, 29, 27, ? (a) 23 (b) 26 (c) 25 (d) 24
  21. 21.What comes next? 14, 19, 24, 29, 34, ? (a) 38 (b) 39 (c) 44 (d) 40
  22. 22.What comes next? 9, 18, 27, 36, 45, ? (a) 53 (b) 63 (c) 55 (d) 54
  23. 23.What comes next? 12, 16, 21, 27, 34, ? (a) 43 (b) 44 (c) 42 (d) 41
  24. 24.What comes next? 3, 11, 19, 27, 35, ? (a) 43 (b) 44 (c) 51 (d) 42
  25. 25.What comes next? 12, 15, 18, 21, 24, ? (a) 28 (b) 26 (c) 30 (d) 27
  26. 26.What comes next? 44, 37, 30, 23, 16, ? (a) 10 (b) 2 (c) 9 (d) 8
  27. 27.What comes next? 1, 9, 6, 14, 11, 19, ? (a) 22 (b) 27 (c) 15 (d) 16
  28. 28.What comes next? 30, 35, 40, 45, 50, ? (a) 60 (b) 56 (c) 54 (d) 55
  29. 29.What comes next? 54, 48, 42, 36, 30, ? (a) 18 (b) 24 (c) 23 (d) 25
  30. 30.What comes next? 3, 13, 23, 33, 43, ? (a) 53 (b) 54 (c) 52 (d) 63
  31. 31.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 135 (c) 216 (d) 270
  32. 32.What comes next? 5, 11, 7, 13, 9, 15, ? (a) 10 (b) 11 (c) 21 (d) 19
  33. 33.What comes next? 15, 18, 22, 27, 33, ? (a) 41 (b) 40 (c) 42 (d) 39
  34. 34.What comes next? 39, 32, 25, 18, 11, ? (a) 3 (b) 6 (c) 5 (d) 4
  35. 35.What comes next? 32, 28, 24, 20, 16, ? (a) 13 (b) 8 (c) 11 (d) 12
  36. 36.What comes next? 7, 13, 11, 17, 15, 21, ? (a) 27 (b) 19 (c) 18 (d) 23
  37. 37.What comes next? 8, 12, 16, 20, 24, ? (a) 29 (b) 32 (c) 27 (d) 28
  38. 38.What comes next? 49, 40, 31, 22, 13, ? (a) 4 (b) 3 (c) 5 (d) 6
  39. 39.What comes next? 51, 42, 33, 24, 15, ? (a) 8 (b) 7 (c) 6 (d) 5
  40. 40.What comes next? 54, 49, 44, 39, 34, ? (a) 30 (b) 24 (c) 29 (d) 28

Answer key

  1. 128
  2. 14
  3. 32
  4. 19
  5. 11
  6. 2
  7. 43
  8. 9
  9. 83
  10. 43
  11. 17
  12. 66
  13. 31
  14. 17
  15. 79
  16. 46
  17. 20
  18. 192
  19. 28
  20. 25
  21. 39
  22. 54
  23. 42
  24. 43
  25. 27
  26. 9
  27. 16
  28. 55
  29. 24
  30. 53
  31. 243
  32. 11
  33. 40
  34. 4
  35. 12
  36. 19
  37. 28
  38. 4
  39. 6
  40. 29

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