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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 648 · 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? 27, 33, 39, 45, 51, ? (a) 57 (b) 56 (c) 58 (d) 63
  2. 2.What comes next? 50, 45, 40, 35, 30, ? (a) 24 (b) 26 (c) 20 (d) 25
  3. 3.What comes next? 10, 16, 22, 28, 34, ? (a) 41 (b) 40 (c) 46 (d) 39
  4. 4.What comes next? 15, 16, 18, 21, 25, ? (a) 31 (b) 29 (c) 32 (d) 30
  5. 5.What comes next? 10, 11, 13, 16, 20, ? (a) 24 (b) 26 (c) 27 (d) 25
  6. 6.What comes next? 13, 16, 19, 22, 25, ? (a) 27 (b) 29 (c) 31 (d) 28
  7. 7.What comes next? 14, 12, 10, 8, 6, ? (a) 2 (b) 5 (c) 4 (d) 3
  8. 8.What comes next? 29, 41, 53, 65, 77, ? (a) 88 (b) 90 (c) 101 (d) 89
  9. 9.What comes next? 7, 9, 12, 16, 21, ? (a) 27 (b) 29 (c) 28 (d) 26
  10. 10.What comes next? 11, 20, 19, 28, 27, 36, ? (a) 34 (b) 37 (c) 35 (d) 45
  11. 11.What comes next? 14, 20, 18, 24, 22, 28, ? (a) 34 (b) 30 (c) 26 (d) 25
  12. 12.What comes next? 44, 39, 34, 29, 24, ? (a) 14 (b) 20 (c) 19 (d) 18
  13. 13.What comes next? 22, 34, 46, 58, 70, ? (a) 81 (b) 82 (c) 83 (d) 94
  14. 14.What comes next? 27, 30, 33, 36, 39, ? (a) 45 (b) 41 (c) 43 (d) 42
  15. 15.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 32 (c) 40 (d) 24
  16. 16.What comes next? 3, 8, 13, 18, 23, ? (a) 33 (b) 27 (c) 28 (d) 29
  17. 17.What comes next? 6, 14, 11, 19, 16, 24, ? (a) 27 (b) 32 (c) 20 (d) 21
  18. 18.What comes next? 24, 27, 30, 33, 36, ? (a) 40 (b) 38 (c) 39 (d) 42
  19. 19.What comes next? 12, 17, 16, 21, 20, 25, ? (a) 23 (b) 24 (c) 30 (d) 26
  20. 20.What comes next? 33, 27, 21, 15, 9, ? (a) 4 (b) 2 (c) 5 (d) 3
  21. 21.What comes next? 1, 4, 2, 5, 3, 6, ? (a) 8 (b) 4 (c) 3 (d) 9
  22. 22.What comes next? 14, 17, 21, 26, 32, ? (a) 40 (b) 39 (c) 38 (d) 41
  23. 23.What comes next? 23, 34, 45, 56, 67, ? (a) 89 (b) 78 (c) 77 (d) 79
  24. 24.What comes next? 18, 20, 23, 27, 32, ? (a) 37 (b) 39 (c) 40 (d) 38
  25. 25.What comes next? 46, 39, 32, 25, 18, ? (a) 10 (b) 12 (c) 11 (d) 4
  26. 26.What comes next? 13, 18, 15, 20, 17, 22, ? (a) 19 (b) 27 (c) 18 (d) 25
  27. 27.What comes next? 21, 17, 13, 9, 5, ? (a) 2 (b) 4 (c) 3 (d) 1
  28. 28.What comes next? 65, 58, 51, 44, 37, ? (a) 29 (b) 30 (c) 31 (d) 23
  29. 29.What comes next? 60, 52, 44, 36, 28, ? (a) 19 (b) 20 (c) 21 (d) 12
  30. 30.What comes next? 1, 10, 6, 15, 11, 20, ? (a) 29 (b) 24 (c) 15 (d) 16
  31. 31.What comes next? 13, 19, 25, 31, 37, ? (a) 42 (b) 49 (c) 44 (d) 43
  32. 32.What comes next? 48, 40, 32, 24, 16, ? (a) 10 (b) 8 (c) 9 (d) 7
  33. 33.What comes next? 15, 18, 17, 20, 19, 22, ? (a) 21 (b) 20 (c) 23 (d) 25
  34. 34.What comes next? 34, 30, 26, 22, 18, ? (a) 15 (b) 13 (c) 10 (d) 14
  35. 35.What comes next? 7, 8, 10, 13, 17, ? (a) 24 (b) 22 (c) 23 (d) 21
  36. 36.What comes next? 26, 30, 34, 38, 42, ? (a) 47 (b) 46 (c) 45 (d) 50
  37. 37.What comes next? 5, 8, 11, 14, 17, ? (a) 21 (b) 19 (c) 20 (d) 23
  38. 38.What comes next? 8, 15, 22, 29, 36, ? (a) 50 (b) 43 (c) 44 (d) 42
  39. 39.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 216 (c) 243 (d) 135
  40. 40.What comes next? 7, 10, 14, 19, 25, ? (a) 34 (b) 33 (c) 31 (d) 32

Answer key

  1. 57
  2. 25
  3. 40
  4. 30
  5. 25
  6. 28
  7. 4
  8. 89
  9. 27
  10. 35
  11. 26
  12. 19
  13. 82
  14. 42
  15. 32
  16. 28
  17. 21
  18. 39
  19. 24
  20. 3
  21. 4
  22. 39
  23. 78
  24. 38
  25. 11
  26. 19
  27. 1
  28. 30
  29. 20
  30. 16
  31. 43
  32. 8
  33. 21
  34. 14
  35. 22
  36. 46
  37. 20
  38. 43
  39. 243
  40. 32

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