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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 665 · 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? 9, 17, 25, 33, 41, ? (a) 57 (b) 48 (c) 49 (d) 50
  2. 2.What comes next? 25, 31, 37, 43, 49, ? (a) 61 (b) 55 (c) 54 (d) 56
  3. 3.What comes next? 19, 20, 22, 25, 29, ? (a) 36 (b) 33 (c) 35 (d) 34
  4. 4.What comes next? 27, 39, 51, 63, 75, ? (a) 99 (b) 87 (c) 88 (d) 86
  5. 5.What comes next? 14, 23, 22, 31, 30, 39, ? (a) 37 (b) 38 (c) 48 (d) 40
  6. 6.What comes next? 19, 17, 15, 13, 11, ? (a) 7 (b) 8 (c) 9 (d) 10
  7. 7.What comes next? 9, 13, 18, 24, 31, ? (a) 38 (b) 40 (c) 41 (d) 39
  8. 8.What comes next? 13, 14, 16, 19, 23, ? (a) 28 (b) 29 (c) 30 (d) 27
  9. 9.What comes next? 23, 31, 39, 47, 55, ? (a) 63 (b) 62 (c) 64 (d) 71
  10. 10.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 24 (c) 32 (d) 33
  11. 11.What comes next? 10, 15, 20, 25, 30, ? (a) 36 (b) 35 (c) 34 (d) 40
  12. 12.What comes next? 9, 16, 15, 22, 21, 28, ? (a) 29 (b) 35 (c) 26 (d) 27
  13. 13.What comes next? 28, 40, 52, 64, 76, ? (a) 88 (b) 87 (c) 100 (d) 89
  14. 14.What comes next? 19, 25, 24, 30, 29, 35, ? (a) 34 (b) 33 (c) 41 (d) 36
  15. 15.What comes next? 26, 35, 44, 53, 62, ? (a) 72 (b) 70 (c) 80 (d) 71
  16. 16.What comes next? 16, 24, 22, 30, 28, 36, ? (a) 44 (b) 38 (c) 33 (d) 34
  17. 17.What comes next? 15, 18, 16, 19, 17, 20, ? (a) 22 (b) 17 (c) 23 (d) 18
  18. 18.What comes next? 2, 5, 9, 14, 20, ? (a) 28 (b) 26 (c) 27 (d) 29
  19. 19.What comes next? 8, 14, 9, 15, 10, 16, ? (a) 10 (b) 22 (c) 21 (d) 11
  20. 20.What comes next? 9, 13, 11, 15, 13, 17, ? (a) 19 (b) 15 (c) 21 (d) 14
  21. 21.What comes next? 17, 28, 39, 50, 61, ? (a) 71 (b) 73 (c) 83 (d) 72
  22. 22.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 96 (c) 160 (d) 128
  23. 23.What comes next? 13, 16, 19, 22, 25, ? (a) 29 (b) 31 (c) 27 (d) 28
  24. 24.What comes next? 1, 4, 8, 13, 19, ? (a) 25 (b) 26 (c) 27 (d) 28
  25. 25.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 270 (c) 216 (d) 243
  26. 26.What comes next? 13, 20, 18, 25, 23, 30, ? (a) 37 (b) 27 (c) 28 (d) 32
  27. 27.What comes next? 16, 20, 18, 22, 20, 24, ? (a) 22 (b) 28 (c) 26 (d) 21
  28. 28.What comes next? 59, 52, 45, 38, 31, ? (a) 24 (b) 23 (c) 17 (d) 25
  29. 29.What comes next? 4, 9, 7, 12, 10, 15, ? (a) 12 (b) 17 (c) 20 (d) 13
  30. 30.What comes next? 2, 7, 4, 9, 6, 11, ? (a) 8 (b) 16 (c) 7 (d) 14
  31. 31.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 90 (c) 162 (d) 180
  32. 32.What comes next? 51, 46, 41, 36, 31, ? (a) 21 (b) 26 (c) 25 (d) 27
  33. 33.What comes next? 6, 7, 9, 12, 16, ? (a) 23 (b) 20 (c) 21 (d) 22
  34. 34.What comes next? 6, 9, 13, 18, 24, ? (a) 30 (b) 33 (c) 31 (d) 32
  35. 35.What comes next? 20, 22, 25, 29, 34, ? (a) 39 (b) 41 (c) 40 (d) 42
  36. 36.What comes next? 20, 30, 40, 50, 60, ? (a) 69 (b) 70 (c) 80 (d) 71
  37. 37.What comes next? 11, 13, 16, 20, 25, ? (a) 32 (b) 33 (c) 30 (d) 31
  38. 38.What comes next? 16, 19, 23, 28, 34, ? (a) 43 (b) 41 (c) 42 (d) 40
  39. 39.What comes next? 25, 21, 17, 13, 9, ? (a) 6 (b) 5 (c) 1 (d) 4
  40. 40.What comes next? 5, 16, 27, 38, 49, ? (a) 60 (b) 61 (c) 59 (d) 71

Answer key

  1. 49
  2. 55
  3. 34
  4. 87
  5. 38
  6. 9
  7. 39
  8. 28
  9. 63
  10. 32
  11. 35
  12. 27
  13. 88
  14. 34
  15. 71
  16. 34
  17. 18
  18. 27
  19. 11
  20. 15
  21. 72
  22. 128
  23. 28
  24. 26
  25. 243
  26. 28
  27. 22
  28. 24
  29. 13
  30. 8
  31. 162
  32. 26
  33. 21
  34. 31
  35. 40
  36. 70
  37. 31
  38. 41
  39. 5
  40. 60

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