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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 141 · 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? 18, 16, 14, 12, 10, ? (a) 7 (b) 6 (c) 8 (d) 9
  2. 2.What comes next? 13, 20, 19, 26, 25, 32, ? (a) 33 (b) 31 (c) 39 (d) 30
  3. 3.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 120 (c) 96 (d) 97
  4. 4.What comes next? 24, 20, 16, 12, 8, ? (a) 4 (b) 5 (c) 3 (d) 6
  5. 5.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 162 (c) 144 (d) 180
  6. 6.What comes next? 9, 14, 19, 24, 29, ? (a) 39 (b) 33 (c) 35 (d) 34
  7. 7.What comes next? 50, 41, 32, 23, 14, ? (a) 5 (b) 6 (c) 4 (d) 7
  8. 8.What comes next? 54, 48, 42, 36, 30, ? (a) 25 (b) 24 (c) 18 (d) 23
  9. 9.What comes next? 29, 41, 53, 65, 77, ? (a) 101 (b) 90 (c) 89 (d) 88
  10. 10.What comes next? 11, 18, 25, 32, 39, ? (a) 45 (b) 53 (c) 46 (d) 47
  11. 11.What comes next? 17, 23, 19, 25, 21, 27, ? (a) 33 (b) 31 (c) 23 (d) 22
  12. 12.What comes next? 18, 20, 23, 27, 32, ? (a) 39 (b) 38 (c) 37 (d) 40
  13. 13.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 129 (c) 128 (d) 160
  14. 14.What comes next? 16, 17, 19, 22, 26, ? (a) 31 (b) 33 (c) 30 (d) 32
  15. 15.What comes next? 18, 21, 19, 22, 20, 23, ? (a) 25 (b) 21 (c) 26 (d) 20
  16. 16.What comes next? 13, 17, 14, 18, 15, 19, ? (a) 15 (b) 16 (c) 23 (d) 22
  17. 17.What comes next? 15, 20, 17, 22, 19, 24, ? (a) 20 (b) 29 (c) 27 (d) 21
  18. 18.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 270 (c) 216 (d) 135
  19. 19.What comes next? 6, 15, 13, 22, 20, 29, ? (a) 38 (b) 26 (c) 27 (d) 31
  20. 20.What comes next? 20, 30, 40, 50, 60, ? (a) 70 (b) 71 (c) 69 (d) 80
  21. 21.What comes next? 4, 10, 9, 15, 14, 20, ? (a) 18 (b) 19 (c) 26 (d) 21
  22. 22.What comes next? 5, 6, 8, 11, 15, ? (a) 19 (b) 22 (c) 21 (d) 20
  23. 23.What comes next? 41, 33, 25, 17, 9, ? (a) 3 (b) 1 (c) 4 (d) 2
  24. 24.What comes next? 3, 7, 5, 9, 7, 11, ? (a) 8 (b) 13 (c) 9 (d) 15
  25. 25.What comes next? 30, 41, 52, 63, 74, ? (a) 85 (b) 84 (c) 96 (d) 86
  26. 26.What comes next? 16, 20, 25, 31, 38, ? (a) 47 (b) 45 (c) 46 (d) 48
  27. 27.What comes next? 35, 33, 31, 29, 27, ? (a) 23 (b) 25 (c) 26 (d) 24
  28. 28.What comes next? 15, 16, 18, 21, 25, ? (a) 31 (b) 32 (c) 30 (d) 29
  29. 29.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 48 (c) 64 (d) 80
  30. 30.What comes next? 12, 18, 24, 30, 36, ? (a) 48 (b) 41 (c) 42 (d) 43
  31. 31.What comes next? 16, 13, 10, 7, 4, ? (a) 2 (b) 1 (c) 4 (d) 3
  32. 32.What comes next? 1, 3, 6, 10, 15, ? (a) 20 (b) 22 (c) 23 (d) 21
  33. 33.What comes next? 2, 10, 6, 14, 10, 18, ? (a) 14 (b) 22 (c) 26 (d) 13
  34. 34.What comes next? 18, 22, 20, 24, 22, 26, ? (a) 23 (b) 28 (c) 30 (d) 24
  35. 35.What comes next? 47, 42, 37, 32, 27, ? (a) 21 (b) 22 (c) 23 (d) 17
  36. 36.What comes next? 1, 5, 2, 6, 3, 7, ? (a) 10 (b) 4 (c) 11 (d) 3
  37. 37.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 72 (c) 45 (d) 90
  38. 38.What comes next? 6, 9, 7, 10, 8, 11, ? (a) 13 (b) 14 (c) 8 (d) 9
  39. 39.What comes next? 28, 40, 52, 64, 76, ? (a) 100 (b) 89 (c) 87 (d) 88
  40. 40.What comes next? 46, 39, 32, 25, 18, ? (a) 10 (b) 12 (c) 11 (d) 4

Answer key

  1. 8
  2. 31
  3. 96
  4. 4
  5. 162
  6. 34
  7. 5
  8. 24
  9. 89
  10. 46
  11. 23
  12. 38
  13. 128
  14. 31
  15. 21
  16. 16
  17. 21
  18. 243
  19. 27
  20. 70
  21. 19
  22. 20
  23. 1
  24. 9
  25. 85
  26. 46
  27. 25
  28. 30
  29. 64
  30. 42
  31. 1
  32. 21
  33. 14
  34. 24
  35. 22
  36. 4
  37. 81
  38. 9
  39. 88
  40. 11

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