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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 103 · 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? 61, 53, 45, 37, 29, ? (a) 22 (b) 20 (c) 13 (d) 21
  2. 2.What comes next? 23, 25, 27, 29, 31, ? (a) 32 (b) 34 (c) 35 (d) 33
  3. 3.What comes next? 16, 14, 12, 10, 8, ? (a) 4 (b) 7 (c) 5 (d) 6
  4. 4.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 33 (c) 40 (d) 24
  5. 5.What comes next? 21, 28, 35, 42, 49, ? (a) 57 (b) 55 (c) 56 (d) 63
  6. 6.What comes next? 18, 22, 20, 24, 22, 26, ? (a) 24 (b) 30 (c) 23 (d) 28
  7. 7.What comes next? 4, 5, 7, 10, 14, ? (a) 21 (b) 20 (c) 19 (d) 18
  8. 8.What comes next? 14, 18, 23, 29, 36, ? (a) 43 (b) 46 (c) 45 (d) 44
  9. 9.What comes next? 1, 5, 2, 6, 3, 7, ? (a) 10 (b) 3 (c) 11 (d) 4
  10. 10.What comes next? 38, 35, 32, 29, 26, ? (a) 22 (b) 24 (c) 23 (d) 20
  11. 11.What comes next? 30, 36, 42, 48, 54, ? (a) 66 (b) 59 (c) 61 (d) 60
  12. 12.What comes next? 3, 5, 8, 12, 17, ? (a) 23 (b) 24 (c) 25 (d) 22
  13. 13.What comes next? 44, 37, 30, 23, 16, ? (a) 8 (b) 9 (c) 10 (d) 2
  14. 14.What comes next? 29, 41, 53, 65, 77, ? (a) 88 (b) 90 (c) 89 (d) 101
  15. 15.What comes next? 47, 41, 35, 29, 23, ? (a) 16 (b) 17 (c) 11 (d) 18
  16. 16.What comes next? 23, 26, 29, 32, 35, ? (a) 39 (b) 37 (c) 38 (d) 41
  17. 17.What comes next? 30, 27, 24, 21, 18, ? (a) 15 (b) 12 (c) 14 (d) 16
  18. 18.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 90 (c) 45 (d) 72
  19. 19.What comes next? 52, 43, 34, 25, 16, ? (a) 7 (b) 8 (c) 9 (d) 6
  20. 20.What comes next? 4, 12, 20, 28, 36, ? (a) 52 (b) 44 (c) 43 (d) 45
  21. 21.What comes next? 27, 39, 51, 63, 75, ? (a) 88 (b) 87 (c) 86 (d) 99
  22. 22.What comes next? 19, 22, 26, 31, 37, ? (a) 45 (b) 43 (c) 44 (d) 46
  23. 23.What comes next? 7, 14, 21, 28, 35, ? (a) 49 (b) 43 (c) 42 (d) 41
  24. 24.What comes next? 45, 37, 29, 21, 13, ? (a) 6 (b) 7 (c) 5 (d) 4
  25. 25.What comes next? 4, 6, 9, 13, 18, ? (a) 25 (b) 26 (c) 23 (d) 24
  26. 26.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 180 (c) 162 (d) 90
  27. 27.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 64 (c) 80 (d) 65
  28. 28.What comes next? 7, 14, 12, 19, 17, 24, ? (a) 21 (b) 31 (c) 26 (d) 22
  29. 29.What comes next? 8, 10, 12, 14, 16, ? (a) 17 (b) 19 (c) 18 (d) 20
  30. 30.What comes next? 15, 24, 16, 25, 17, 26, ? (a) 18 (b) 17 (c) 35 (d) 34
  31. 31.What comes next? 21, 33, 45, 57, 69, ? (a) 80 (b) 82 (c) 81 (d) 93
  32. 32.What comes next? 9, 21, 33, 45, 57, ? (a) 81 (b) 70 (c) 68 (d) 69
  33. 33.What comes next? 7, 11, 10, 14, 13, 17, ? (a) 18 (b) 15 (c) 16 (d) 21
  34. 34.What comes next? 23, 32, 41, 50, 59, ? (a) 67 (b) 69 (c) 77 (d) 68
  35. 35.What comes next? 11, 17, 23, 29, 35, ? (a) 47 (b) 40 (c) 42 (d) 41
  36. 36.What comes next? 11, 18, 13, 20, 15, 22, ? (a) 16 (b) 17 (c) 29 (d) 27
  37. 37.What comes next? 49, 43, 37, 31, 25, ? (a) 19 (b) 13 (c) 18 (d) 20
  38. 38.What comes next? 24, 22, 20, 18, 16, ? (a) 15 (b) 12 (c) 14 (d) 13
  39. 39.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 240 (c) 192 (d) 193
  40. 40.What comes next? 16, 17, 19, 22, 26, ? (a) 33 (b) 32 (c) 31 (d) 30

Answer key

  1. 21
  2. 33
  3. 6
  4. 32
  5. 56
  6. 24
  7. 19
  8. 44
  9. 4
  10. 23
  11. 60
  12. 23
  13. 9
  14. 89
  15. 17
  16. 38
  17. 15
  18. 81
  19. 7
  20. 44
  21. 87
  22. 44
  23. 42
  24. 5
  25. 24
  26. 162
  27. 64
  28. 22
  29. 18
  30. 18
  31. 81
  32. 69
  33. 16
  34. 68
  35. 41
  36. 17
  37. 19
  38. 14
  39. 192
  40. 31

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