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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 620 · 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? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 81 (d) 72
  2. 2.What comes next? 3, 8, 13, 18, 23, ? (a) 29 (b) 33 (c) 27 (d) 28
  3. 3.What comes next? 10, 18, 26, 34, 42, ? (a) 51 (b) 49 (c) 58 (d) 50
  4. 4.What comes next? 28, 30, 32, 34, 36, ? (a) 37 (b) 40 (c) 39 (d) 38
  5. 5.What comes next? 14, 21, 15, 22, 16, 23, ? (a) 29 (b) 16 (c) 17 (d) 30
  6. 6.What comes next? 19, 21, 24, 28, 33, ? (a) 41 (b) 38 (c) 40 (d) 39
  7. 7.What comes next? 17, 19, 22, 26, 31, ? (a) 37 (b) 39 (c) 36 (d) 38
  8. 8.What comes next? 3, 6, 5, 8, 7, 10, ? (a) 8 (b) 11 (c) 13 (d) 9
  9. 9.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 97 (c) 72 (d) 96
  10. 10.What comes next? 25, 22, 19, 16, 13, ? (a) 9 (b) 7 (c) 10 (d) 11
  11. 11.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 135 (c) 216 (d) 270
  12. 12.What comes next? 49, 42, 35, 28, 21, ? (a) 14 (b) 7 (c) 15 (d) 13
  13. 13.What comes next? 5, 7, 10, 14, 19, ? (a) 26 (b) 24 (c) 27 (d) 25
  14. 14.What comes next? 11, 16, 12, 17, 13, 18, ? (a) 23 (b) 22 (c) 13 (d) 14
  15. 15.What comes next? 21, 30, 39, 48, 57, ? (a) 75 (b) 66 (c) 65 (d) 67
  16. 16.What comes next? 2, 14, 26, 38, 50, ? (a) 63 (b) 74 (c) 62 (d) 61
  17. 17.What comes next? 24, 32, 40, 48, 56, ? (a) 63 (b) 72 (c) 64 (d) 65
  18. 18.What comes next? 28, 39, 50, 61, 72, ? (a) 82 (b) 94 (c) 84 (d) 83
  19. 19.What comes next? 3, 4, 6, 9, 13, ? (a) 17 (b) 19 (c) 20 (d) 18
  20. 20.What comes next? 21, 24, 27, 30, 33, ? (a) 35 (b) 37 (c) 39 (d) 36
  21. 21.What comes next? 45, 38, 31, 24, 17, ? (a) 11 (b) 9 (c) 3 (d) 10
  22. 22.What comes next? 30, 28, 26, 24, 22, ? (a) 18 (b) 19 (c) 20 (d) 21
  23. 23.What comes next? 2, 9, 16, 23, 30, ? (a) 38 (b) 37 (c) 36 (d) 44
  24. 24.What comes next? 7, 15, 12, 20, 17, 25, ? (a) 21 (b) 33 (c) 28 (d) 22
  25. 25.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 48 (c) 65 (d) 64
  26. 26.What comes next? 46, 37, 28, 19, 10, ? (a) 4 (b) 3 (c) 1 (d) 2
  27. 27.What comes next? 17, 20, 24, 29, 35, ? (a) 44 (b) 42 (c) 43 (d) 41
  28. 28.What comes next? 17, 15, 13, 11, 9, ? (a) 6 (b) 7 (c) 8 (d) 5
  29. 29.What comes next? 30, 33, 36, 39, 42, ? (a) 48 (b) 44 (c) 46 (d) 45
  30. 30.What comes next? 20, 23, 27, 32, 38, ? (a) 47 (b) 45 (c) 46 (d) 44
  31. 31.What comes next? 39, 33, 27, 21, 15, ? (a) 10 (b) 3 (c) 8 (d) 9
  32. 32.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 96 (c) 129 (d) 160
  33. 33.What comes next? 45, 37, 29, 21, 13, ? (a) 4 (b) 5 (c) 6 (d) 7
  34. 34.What comes next? 12, 16, 20, 24, 28, ? (a) 33 (b) 36 (c) 31 (d) 32
  35. 35.What comes next? 9, 20, 31, 42, 53, ? (a) 63 (b) 75 (c) 64 (d) 65
  36. 36.What comes next? 35, 33, 31, 29, 27, ? (a) 25 (b) 24 (c) 26 (d) 23
  37. 37.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 144 (c) 192 (d) 193
  38. 38.What comes next? 2, 3, 5, 8, 12, ? (a) 17 (b) 19 (c) 18 (d) 16
  39. 39.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 40 (c) 33 (d) 32
  40. 40.What comes next? 45, 40, 35, 30, 25, ? (a) 20 (b) 15 (c) 19 (d) 21

Answer key

  1. 81
  2. 28
  3. 50
  4. 38
  5. 17
  6. 39
  7. 37
  8. 9
  9. 96
  10. 10
  11. 243
  12. 14
  13. 25
  14. 14
  15. 66
  16. 62
  17. 64
  18. 83
  19. 18
  20. 36
  21. 10
  22. 20
  23. 37
  24. 22
  25. 64
  26. 1
  27. 42
  28. 7
  29. 45
  30. 45
  31. 9
  32. 128
  33. 5
  34. 32
  35. 64
  36. 25
  37. 192
  38. 17
  39. 32
  40. 20

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