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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 253 · 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? 29, 41, 53, 65, 77, ? (a) 89 (b) 88 (c) 90 (d) 101
  2. 2.What comes next? 12, 16, 15, 19, 18, 22, ? (a) 20 (b) 26 (c) 23 (d) 21
  3. 3.What comes next? 45, 41, 37, 33, 29, ? (a) 24 (b) 26 (c) 25 (d) 21
  4. 4.What comes next? 13, 21, 17, 25, 21, 29, ? (a) 37 (b) 33 (c) 24 (d) 25
  5. 5.What comes next? 10, 18, 26, 34, 42, ? (a) 50 (b) 49 (c) 51 (d) 58
  6. 6.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 193 (c) 192 (d) 144
  7. 7.What comes next? 10, 12, 15, 19, 24, ? (a) 29 (b) 31 (c) 32 (d) 30
  8. 8.What comes next? 13, 15, 18, 22, 27, ? (a) 32 (b) 33 (c) 35 (d) 34
  9. 9.What comes next? 14, 18, 15, 19, 16, 20, ? (a) 16 (b) 17 (c) 23 (d) 24
  10. 10.What comes next? 20, 27, 34, 41, 48, ? (a) 55 (b) 54 (c) 62 (d) 56
  11. 11.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 81 (c) 72 (d) 90
  12. 12.What comes next? 44, 37, 30, 23, 16, ? (a) 2 (b) 9 (c) 10 (d) 8
  13. 13.What comes next? 11, 21, 31, 41, 51, ? (a) 62 (b) 71 (c) 61 (d) 60
  14. 14.What comes next? 53, 47, 41, 35, 29, ? (a) 24 (b) 22 (c) 17 (d) 23
  15. 15.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 180 (c) 90 (d) 162
  16. 16.What comes next? 19, 27, 23, 31, 27, 35, ? (a) 43 (b) 31 (c) 30 (d) 39
  17. 17.What comes next? 63, 55, 47, 39, 31, ? (a) 15 (b) 24 (c) 22 (d) 23
  18. 18.What comes next? 18, 20, 23, 27, 32, ? (a) 38 (b) 39 (c) 37 (d) 40
  19. 19.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 32 (c) 24 (d) 40
  20. 20.What comes next? 7, 13, 8, 14, 9, 15, ? (a) 9 (b) 20 (c) 21 (d) 10
  21. 21.What comes next? 3, 6, 10, 15, 21, ? (a) 28 (b) 29 (c) 30 (d) 27
  22. 22.What comes next? 10, 11, 13, 16, 20, ? (a) 24 (b) 27 (c) 26 (d) 25
  23. 23.What comes next? 6, 17, 28, 39, 50, ? (a) 72 (b) 60 (c) 62 (d) 61
  24. 24.What comes next? 17, 21, 26, 32, 39, ? (a) 46 (b) 47 (c) 48 (d) 49
  25. 25.What comes next? 41, 34, 27, 20, 13, ? (a) 7 (b) 5 (c) 8 (d) 6
  26. 26.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 128 (c) 96 (d) 160
  27. 27.What comes next? 14, 18, 23, 29, 36, ? (a) 44 (b) 46 (c) 45 (d) 43
  28. 28.What comes next? 18, 27, 21, 30, 24, 33, ? (a) 39 (b) 26 (c) 42 (d) 27
  29. 29.What comes next? 66, 57, 48, 39, 30, ? (a) 22 (b) 12 (c) 21 (d) 20
  30. 30.What comes next? 28, 40, 52, 64, 76, ? (a) 88 (b) 87 (c) 100 (d) 89
  31. 31.What comes next? 16, 20, 25, 31, 38, ? (a) 47 (b) 46 (c) 48 (d) 45
  32. 32.What comes next? 7, 8, 10, 13, 17, ? (a) 21 (b) 23 (c) 22 (d) 24
  33. 33.What comes next? 52, 46, 40, 34, 28, ? (a) 22 (b) 21 (c) 16 (d) 23
  34. 34.What comes next? 50, 43, 36, 29, 22, ? (a) 15 (b) 8 (c) 16 (d) 14
  35. 35.What comes next? 14, 19, 16, 21, 18, 23, ? (a) 20 (b) 19 (c) 26 (d) 28
  36. 36.What comes next? 15, 25, 35, 45, 55, ? (a) 66 (b) 75 (c) 64 (d) 65
  37. 37.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 135 (c) 270 (d) 243
  38. 38.What comes next? 9, 13, 11, 15, 13, 17, ? (a) 21 (b) 14 (c) 15 (d) 19
  39. 39.What comes next? 5, 12, 19, 26, 33, ? (a) 41 (b) 47 (c) 40 (d) 39
  40. 40.What comes next? 2, 7, 12, 17, 22, ? (a) 32 (b) 28 (c) 26 (d) 27

Answer key

  1. 89
  2. 21
  3. 25
  4. 25
  5. 50
  6. 192
  7. 30
  8. 33
  9. 17
  10. 55
  11. 81
  12. 9
  13. 61
  14. 23
  15. 162
  16. 31
  17. 23
  18. 38
  19. 32
  20. 10
  21. 28
  22. 25
  23. 61
  24. 47
  25. 6
  26. 128
  27. 44
  28. 27
  29. 21
  30. 88
  31. 46
  32. 22
  33. 22
  34. 15
  35. 20
  36. 65
  37. 243
  38. 15
  39. 40
  40. 27

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