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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 361 · 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? 12, 24, 36, 48, 60, ? (a) 84 (b) 72 (c) 71 (d) 73
  2. 2.What comes next? 20, 24, 22, 26, 24, 28, ? (a) 26 (b) 32 (c) 30 (d) 25
  3. 3.What comes next? 30, 28, 26, 24, 22, ? (a) 18 (b) 20 (c) 19 (d) 21
  4. 4.What comes next? 14, 15, 17, 20, 24, ? (a) 30 (b) 28 (c) 29 (d) 31
  5. 5.What comes next? 43, 40, 37, 34, 31, ? (a) 27 (b) 29 (c) 28 (d) 25
  6. 6.What comes next? 18, 22, 19, 23, 20, 24, ? (a) 28 (b) 21 (c) 27 (d) 20
  7. 7.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 200 (c) 120 (d) 160
  8. 8.What comes next? 39, 32, 25, 18, 11, ? (a) 3 (b) 6 (c) 5 (d) 4
  9. 9.What comes next? 15, 18, 22, 27, 33, ? (a) 39 (b) 42 (c) 41 (d) 40
  10. 10.What comes next? 36, 30, 24, 18, 12, ? (a) 8 (b) 5 (c) 6 (d) 7
  11. 11.What comes next? 6, 7, 9, 12, 16, ? (a) 21 (b) 22 (c) 20 (d) 23
  12. 12.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 72 (d) 81
  13. 13.What comes next? 33, 27, 21, 15, 9, ? (a) 5 (b) 4 (c) 3 (d) 2
  14. 14.What comes next? 15, 16, 18, 21, 25, ? (a) 29 (b) 32 (c) 31 (d) 30
  15. 15.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 180 (c) 90 (d) 162
  16. 16.What comes next? 13, 14, 16, 19, 23, ? (a) 27 (b) 30 (c) 28 (d) 29
  17. 17.What comes next? 28, 34, 40, 46, 52, ? (a) 59 (b) 58 (c) 57 (d) 64
  18. 18.What comes next? 1, 9, 3, 11, 5, 13, ? (a) 6 (b) 7 (c) 19 (d) 21
  19. 19.What comes next? 17, 20, 24, 29, 35, ? (a) 41 (b) 44 (c) 42 (d) 43
  20. 20.What comes next? 15, 19, 18, 22, 21, 25, ? (a) 29 (b) 26 (c) 23 (d) 24
  21. 21.What comes next? 20, 32, 44, 56, 68, ? (a) 80 (b) 79 (c) 92 (d) 81
  22. 22.What comes next? 12, 13, 15, 18, 22, ? (a) 29 (b) 26 (c) 28 (d) 27
  23. 23.What comes next? 33, 30, 27, 24, 21, ? (a) 19 (b) 18 (c) 15 (d) 17
  24. 24.What comes next? 16, 20, 24, 28, 32, ? (a) 36 (b) 37 (c) 35 (d) 40
  25. 25.What comes next? 2, 9, 16, 23, 30, ? (a) 36 (b) 44 (c) 38 (d) 37
  26. 26.What comes next? 48, 41, 34, 27, 20, ? (a) 14 (b) 12 (c) 6 (d) 13
  27. 27.What comes next? 17, 23, 19, 25, 21, 27, ? (a) 22 (b) 23 (c) 31 (d) 33
  28. 28.What comes next? 10, 17, 15, 22, 20, 27, ? (a) 29 (b) 34 (c) 25 (d) 24
  29. 29.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 72 (c) 97 (d) 120
  30. 30.What comes next? 18, 19, 21, 24, 28, ? (a) 32 (b) 33 (c) 34 (d) 35
  31. 31.What comes next? 10, 13, 17, 22, 28, ? (a) 34 (b) 35 (c) 37 (d) 36
  32. 32.What comes next? 37, 31, 25, 19, 13, ? (a) 7 (b) 8 (c) 6 (d) 1
  33. 33.What comes next? 3, 6, 5, 8, 7, 10, ? (a) 13 (b) 8 (c) 9 (d) 11
  34. 34.What comes next? 27, 39, 51, 63, 75, ? (a) 86 (b) 87 (c) 88 (d) 99
  35. 35.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 216 (c) 243 (d) 270
  36. 36.What comes next? 25, 31, 37, 43, 49, ? (a) 54 (b) 61 (c) 56 (d) 55
  37. 37.What comes next? 11, 18, 17, 24, 23, 30, ? (a) 37 (b) 31 (c) 28 (d) 29
  38. 38.What comes next? 36, 29, 22, 15, 8, ? (a) 1 (b) 3 (c) 2 (d) 4
  39. 39.What comes next? 16, 20, 25, 31, 38, ? (a) 45 (b) 48 (c) 47 (d) 46
  40. 40.What comes next? 43, 36, 29, 22, 15, ? (a) 7 (b) 1 (c) 9 (d) 8

Answer key

  1. 72
  2. 26
  3. 20
  4. 29
  5. 28
  6. 21
  7. 160
  8. 4
  9. 40
  10. 6
  11. 21
  12. 81
  13. 3
  14. 30
  15. 162
  16. 28
  17. 58
  18. 7
  19. 42
  20. 24
  21. 80
  22. 27
  23. 18
  24. 36
  25. 37
  26. 13
  27. 23
  28. 25
  29. 96
  30. 33
  31. 35
  32. 7
  33. 9
  34. 87
  35. 243
  36. 55
  37. 29
  38. 1
  39. 46
  40. 8

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