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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 256 · 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? 15, 18, 22, 27, 33, ? (a) 39 (b) 41 (c) 42 (d) 40
  2. 2.What comes next? 2, 5, 8, 11, 14, ? (a) 20 (b) 18 (c) 17 (d) 16
  3. 3.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 162 (c) 90 (d) 180
  4. 4.What comes next? 16, 14, 12, 10, 8, ? (a) 7 (b) 5 (c) 4 (d) 6
  5. 5.What comes next? 36, 34, 32, 30, 28, ? (a) 24 (b) 25 (c) 26 (d) 27
  6. 6.What comes next? 7, 16, 12, 21, 17, 26, ? (a) 21 (b) 22 (c) 30 (d) 35
  7. 7.What comes next? 4, 9, 6, 11, 8, 13, ? (a) 16 (b) 9 (c) 10 (d) 18
  8. 8.What comes next? 20, 22, 25, 29, 34, ? (a) 39 (b) 40 (c) 41 (d) 42
  9. 9.What comes next? 2, 11, 5, 14, 8, 17, ? (a) 23 (b) 10 (c) 11 (d) 26
  10. 10.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 97 (c) 120 (d) 96
  11. 11.What comes next? 25, 32, 39, 46, 53, ? (a) 61 (b) 67 (c) 59 (d) 60
  12. 12.What comes next? 4, 6, 9, 13, 18, ? (a) 23 (b) 25 (c) 24 (d) 26
  13. 13.What comes next? 10, 12, 15, 19, 24, ? (a) 29 (b) 32 (c) 31 (d) 30
  14. 14.What comes next? 5, 12, 11, 18, 17, 24, ? (a) 25 (b) 22 (c) 31 (d) 23
  15. 15.What comes next? 7, 17, 27, 37, 47, ? (a) 67 (b) 56 (c) 58 (d) 57
  16. 16.What comes next? 10, 22, 34, 46, 58, ? (a) 70 (b) 82 (c) 71 (d) 69
  17. 17.What comes next? 22, 26, 30, 34, 38, ? (a) 43 (b) 41 (c) 42 (d) 46
  18. 18.What comes next? 9, 13, 18, 24, 31, ? (a) 40 (b) 38 (c) 39 (d) 41
  19. 19.What comes next? 53, 48, 43, 38, 33, ? (a) 28 (b) 29 (c) 23 (d) 27
  20. 20.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 129 (c) 160 (d) 128
  21. 21.What comes next? 61, 53, 45, 37, 29, ? (a) 13 (b) 21 (c) 20 (d) 22
  22. 22.What comes next? 1, 4, 3, 6, 5, 8, ? (a) 11 (b) 6 (c) 9 (d) 7
  23. 23.What comes next? 15, 18, 17, 20, 19, 22, ? (a) 20 (b) 23 (c) 21 (d) 25
  24. 24.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 32 (c) 40 (d) 24
  25. 25.What comes next? 13, 17, 22, 28, 35, ? (a) 43 (b) 44 (c) 42 (d) 45
  26. 26.What comes next? 59, 51, 43, 35, 27, ? (a) 20 (b) 19 (c) 11 (d) 18
  27. 27.What comes next? 14, 19, 24, 29, 34, ? (a) 44 (b) 39 (c) 38 (d) 40
  28. 28.What comes next? 45, 42, 39, 36, 33, ? (a) 27 (b) 31 (c) 29 (d) 30
  29. 29.What comes next? 41, 38, 35, 32, 29, ? (a) 23 (b) 27 (c) 26 (d) 25
  30. 30.What comes next? 17, 26, 18, 27, 19, 28, ? (a) 37 (b) 20 (c) 19 (d) 36
  31. 31.What comes next? 54, 45, 36, 27, 18, ? (a) 9 (b) 8 (c) 11 (d) 10
  32. 32.What comes next? 37, 31, 25, 19, 13, ? (a) 1 (b) 6 (c) 7 (d) 8
  33. 33.What comes next? 18, 22, 26, 30, 34, ? (a) 39 (b) 37 (c) 42 (d) 38
  34. 34.What comes next? 63, 56, 49, 42, 35, ? (a) 28 (b) 21 (c) 27 (d) 29
  35. 35.What comes next? 2, 6, 10, 14, 18, ? (a) 23 (b) 22 (c) 21 (d) 26
  36. 36.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 90 (c) 45 (d) 72
  37. 37.What comes next? 5, 13, 8, 16, 11, 19, ? (a) 13 (b) 14 (c) 27 (d) 24
  38. 38.What comes next? 18, 15, 12, 9, 6, ? (a) 2 (b) 5 (c) 4 (d) 3
  39. 39.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 120 (c) 160 (d) 200
  40. 40.What comes next? 55, 48, 41, 34, 27, ? (a) 21 (b) 20 (c) 13 (d) 19

Answer key

  1. 40
  2. 17
  3. 162
  4. 6
  5. 26
  6. 22
  7. 10
  8. 40
  9. 11
  10. 96
  11. 60
  12. 24
  13. 30
  14. 23
  15. 57
  16. 70
  17. 42
  18. 39
  19. 28
  20. 128
  21. 21
  22. 7
  23. 21
  24. 32
  25. 43
  26. 19
  27. 39
  28. 30
  29. 26
  30. 20
  31. 9
  32. 7
  33. 38
  34. 28
  35. 22
  36. 81
  37. 14
  38. 3
  39. 160
  40. 20

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