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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 169 · 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? 7, 9, 12, 16, 21, ? (a) 29 (b) 28 (c) 26 (d) 27
  2. 2.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 216 (c) 270 (d) 243
  3. 3.What comes next? 39, 37, 35, 33, 31, ? (a) 30 (b) 28 (c) 29 (d) 27
  4. 4.What comes next? 57, 51, 45, 39, 33, ? (a) 27 (b) 28 (c) 26 (d) 21
  5. 5.What comes next? 52, 47, 42, 37, 32, ? (a) 27 (b) 28 (c) 26 (d) 22
  6. 6.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 162 (c) 180 (d) 90
  7. 7.What comes next? 2, 3, 5, 8, 12, ? (a) 18 (b) 19 (c) 16 (d) 17
  8. 8.What comes next? 49, 40, 31, 22, 13, ? (a) 3 (b) 4 (c) 6 (d) 5
  9. 9.What comes next? 41, 37, 33, 29, 25, ? (a) 20 (b) 17 (c) 22 (d) 21
  10. 10.What comes next? 8, 12, 17, 23, 30, ? (a) 38 (b) 37 (c) 40 (d) 39
  11. 11.What comes next? 27, 35, 43, 51, 59, ? (a) 67 (b) 68 (c) 66 (d) 75
  12. 12.What comes next? 16, 24, 20, 28, 24, 32, ? (a) 28 (b) 36 (c) 40 (d) 27
  13. 13.What comes next? 63, 54, 45, 36, 27, ? (a) 19 (b) 17 (c) 18 (d) 9
  14. 14.What comes next? 15, 20, 25, 30, 35, ? (a) 45 (b) 41 (c) 40 (d) 39
  15. 15.What comes next? 4, 6, 8, 10, 12, ? (a) 16 (b) 15 (c) 14 (d) 13
  16. 16.What comes next? 29, 34, 39, 44, 49, ? (a) 54 (b) 53 (c) 55 (d) 59
  17. 17.What comes next? 13, 15, 17, 19, 21, ? (a) 25 (b) 24 (c) 22 (d) 23
  18. 18.What comes next? 53, 47, 41, 35, 29, ? (a) 17 (b) 22 (c) 23 (d) 24
  19. 19.What comes next? 16, 25, 34, 43, 52, ? (a) 60 (b) 62 (c) 70 (d) 61
  20. 20.What comes next? 20, 23, 27, 32, 38, ? (a) 44 (b) 47 (c) 45 (d) 46
  21. 21.What comes next? 7, 11, 9, 13, 11, 15, ? (a) 12 (b) 17 (c) 13 (d) 19
  22. 22.What comes next? 7, 15, 23, 31, 39, ? (a) 46 (b) 47 (c) 55 (d) 48
  23. 23.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 45 (c) 72 (d) 90
  24. 24.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 32 (c) 40 (d) 33
  25. 25.What comes next? 26, 38, 50, 62, 74, ? (a) 87 (b) 98 (c) 85 (d) 86
  26. 26.What comes next? 6, 8, 11, 15, 20, ? (a) 26 (b) 28 (c) 25 (d) 27
  27. 27.What comes next? 3, 13, 23, 33, 43, ? (a) 63 (b) 53 (c) 54 (d) 52
  28. 28.What comes next? 15, 17, 20, 24, 29, ? (a) 35 (b) 36 (c) 34 (d) 37
  29. 29.What comes next? 22, 24, 26, 28, 30, ? (a) 34 (b) 31 (c) 32 (d) 33
  30. 30.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 200 (c) 120 (d) 161
  31. 31.What comes next? 11, 13, 15, 17, 19, ? (a) 23 (b) 22 (c) 20 (d) 21
  32. 32.What comes next? 34, 28, 22, 16, 10, ? (a) 6 (b) 4 (c) 3 (d) 5
  33. 33.What comes next? 18, 27, 20, 29, 22, 31, ? (a) 24 (b) 23 (c) 40 (d) 38
  34. 34.What comes next? 3, 4, 6, 9, 13, ? (a) 17 (b) 18 (c) 19 (d) 20
  35. 35.What comes next? 3, 7, 4, 8, 5, 9, ? (a) 12 (b) 5 (c) 13 (d) 6
  36. 36.What comes next? 28, 38, 48, 58, 68, ? (a) 78 (b) 88 (c) 79 (d) 77
  37. 37.What comes next? 7, 14, 21, 28, 35, ? (a) 49 (b) 42 (c) 41 (d) 43
  38. 38.What comes next? 25, 34, 43, 52, 61, ? (a) 70 (b) 79 (c) 69 (d) 71
  39. 39.What comes next? 48, 42, 36, 30, 24, ? (a) 19 (b) 18 (c) 17 (d) 12
  40. 40.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 128 (c) 129 (d) 160

Answer key

  1. 27
  2. 243
  3. 29
  4. 27
  5. 27
  6. 162
  7. 17
  8. 4
  9. 21
  10. 38
  11. 67
  12. 28
  13. 18
  14. 40
  15. 14
  16. 54
  17. 23
  18. 23
  19. 61
  20. 45
  21. 13
  22. 47
  23. 81
  24. 32
  25. 86
  26. 26
  27. 53
  28. 35
  29. 32
  30. 160
  31. 21
  32. 4
  33. 24
  34. 18
  35. 6
  36. 78
  37. 42
  38. 70
  39. 18
  40. 128

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