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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 267 · 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? 6, 9, 13, 18, 24, ? (a) 32 (b) 31 (c) 30 (d) 33
  2. 2.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 96 (c) 128 (d) 160
  3. 3.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 270 (c) 135 (d) 216
  4. 4.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 40 (c) 32 (d) 24
  5. 5.What comes next? 53, 44, 35, 26, 17, ? (a) 7 (b) 10 (c) 9 (d) 8
  6. 6.What comes next? 45, 39, 33, 27, 21, ? (a) 9 (b) 16 (c) 14 (d) 15
  7. 7.What comes next? 72, 63, 54, 45, 36, ? (a) 18 (b) 28 (c) 27 (d) 26
  8. 8.What comes next? 13, 17, 22, 28, 35, ? (a) 45 (b) 44 (c) 42 (d) 43
  9. 9.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 200 (c) 161 (d) 120
  10. 10.What comes next? 7, 14, 13, 20, 19, 26, ? (a) 24 (b) 27 (c) 33 (d) 25
  11. 11.What comes next? 18, 29, 40, 51, 62, ? (a) 74 (b) 84 (c) 72 (d) 73
  12. 12.What comes next? 26, 37, 48, 59, 70, ? (a) 92 (b) 81 (c) 80 (d) 82
  13. 13.What comes next? 8, 13, 18, 23, 28, ? (a) 32 (b) 34 (c) 38 (d) 33
  14. 14.What comes next? 3, 10, 17, 24, 31, ? (a) 45 (b) 38 (c) 37 (d) 39
  15. 15.What comes next? 41, 34, 27, 20, 13, ? (a) 7 (b) 8 (c) 5 (d) 6
  16. 16.What comes next? 13, 20, 27, 34, 41, ? (a) 47 (b) 55 (c) 49 (d) 48
  17. 17.What comes next? 27, 24, 21, 18, 15, ? (a) 11 (b) 13 (c) 12 (d) 9
  18. 18.What comes next? 6, 7, 9, 12, 16, ? (a) 23 (b) 22 (c) 20 (d) 21
  19. 19.What comes next? 11, 15, 20, 26, 33, ? (a) 42 (b) 40 (c) 41 (d) 43
  20. 20.What comes next? 20, 31, 42, 53, 64, ? (a) 76 (b) 86 (c) 74 (d) 75
  21. 21.What comes next? 17, 29, 41, 53, 65, ? (a) 78 (b) 89 (c) 76 (d) 77
  22. 22.What comes next? 1, 4, 8, 13, 19, ? (a) 28 (b) 26 (c) 27 (d) 25
  23. 23.What comes next? 19, 23, 22, 26, 25, 29, ? (a) 28 (b) 27 (c) 33 (d) 30
  24. 24.What comes next? 51, 42, 33, 24, 15, ? (a) 5 (b) 8 (c) 7 (d) 6
  25. 25.What comes next? 5, 11, 10, 16, 15, 21, ? (a) 27 (b) 22 (c) 19 (d) 20
  26. 26.What comes next? 28, 39, 50, 61, 72, ? (a) 82 (b) 84 (c) 94 (d) 83
  27. 27.What comes next? 18, 30, 42, 54, 66, ? (a) 77 (b) 79 (c) 78 (d) 90
  28. 28.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 65 (c) 64 (d) 80
  29. 29.What comes next? 13, 18, 14, 19, 15, 20, ? (a) 25 (b) 15 (c) 16 (d) 24
  30. 30.What comes next? 61, 53, 45, 37, 29, ? (a) 20 (b) 13 (c) 22 (d) 21
  31. 31.What comes next? 7, 16, 25, 34, 43, ? (a) 53 (b) 51 (c) 52 (d) 61
  32. 32.What comes next? 28, 36, 44, 52, 60, ? (a) 76 (b) 69 (c) 67 (d) 68
  33. 33.What comes next? 7, 16, 13, 22, 19, 28, ? (a) 31 (b) 25 (c) 24 (d) 37
  34. 34.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 81 (c) 72 (d) 45
  35. 35.What comes next? 24, 36, 48, 60, 72, ? (a) 84 (b) 96 (c) 85 (d) 83
  36. 36.What comes next? 17, 21, 26, 32, 39, ? (a) 48 (b) 49 (c) 46 (d) 47
  37. 37.What comes next? 7, 10, 13, 16, 19, ? (a) 22 (b) 23 (c) 25 (d) 21
  38. 38.What comes next? 20, 23, 22, 25, 24, 27, ? (a) 25 (b) 28 (c) 26 (d) 30
  39. 39.What comes next? 30, 32, 34, 36, 38, ? (a) 42 (b) 41 (c) 39 (d) 40
  40. 40.What comes next? 18, 19, 21, 24, 28, ? (a) 33 (b) 35 (c) 32 (d) 34

Answer key

  1. 31
  2. 128
  3. 243
  4. 32
  5. 8
  6. 15
  7. 27
  8. 43
  9. 160
  10. 25
  11. 73
  12. 81
  13. 33
  14. 38
  15. 6
  16. 48
  17. 12
  18. 21
  19. 41
  20. 75
  21. 77
  22. 26
  23. 28
  24. 6
  25. 20
  26. 83
  27. 78
  28. 64
  29. 16
  30. 21
  31. 52
  32. 68
  33. 25
  34. 81
  35. 84
  36. 47
  37. 22
  38. 26
  39. 40
  40. 33

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