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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 345 · 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? 7, 12, 17, 22, 27, ? (a) 33 (b) 31 (c) 32 (d) 37
  2. 2.What comes next? 27, 34, 41, 48, 55, ? (a) 63 (b) 62 (c) 61 (d) 69
  3. 3.What comes next? 27, 33, 39, 45, 51, ? (a) 56 (b) 58 (c) 57 (d) 63
  4. 4.What comes next? 3, 15, 27, 39, 51, ? (a) 62 (b) 64 (c) 63 (d) 75
  5. 5.What comes next? 17, 20, 24, 29, 35, ? (a) 43 (b) 44 (c) 42 (d) 41
  6. 6.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 162 (c) 144 (d) 180
  7. 7.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 200 (c) 160 (d) 120
  8. 8.What comes next? 18, 27, 25, 34, 32, 41, ? (a) 43 (b) 50 (c) 39 (d) 38
  9. 9.What comes next? 16, 19, 23, 28, 34, ? (a) 42 (b) 40 (c) 41 (d) 43
  10. 10.What comes next? 3, 12, 4, 13, 5, 14, ? (a) 23 (b) 5 (c) 22 (d) 6
  11. 11.What comes next? 9, 13, 18, 24, 31, ? (a) 39 (b) 38 (c) 41 (d) 40
  12. 12.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 192 (c) 193 (d) 144
  13. 13.What comes next? 2, 5, 4, 7, 6, 9, ? (a) 12 (b) 7 (c) 8 (d) 10
  14. 14.What comes next? 24, 35, 46, 57, 68, ? (a) 90 (b) 78 (c) 80 (d) 79
  15. 15.What comes next? 14, 20, 26, 32, 38, ? (a) 44 (b) 43 (c) 45 (d) 50
  16. 16.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 65 (c) 64 (d) 80
  17. 17.What comes next? 30, 41, 52, 63, 74, ? (a) 84 (b) 96 (c) 85 (d) 86
  18. 18.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 270 (c) 216 (d) 243
  19. 19.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 129 (c) 96 (d) 128
  20. 20.What comes next? 12, 10, 8, 6, 4, ? (a) 3 (b) 4 (c) 1 (d) 2
  21. 21.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 72 (c) 45 (d) 81
  22. 22.What comes next? 26, 33, 40, 47, 54, ? (a) 68 (b) 62 (c) 60 (d) 61
  23. 23.What comes next? 6, 10, 9, 13, 12, 16, ? (a) 14 (b) 15 (c) 20 (d) 17
  24. 24.What comes next? 14, 18, 16, 20, 18, 22, ? (a) 19 (b) 24 (c) 26 (d) 20
  25. 25.What comes next? 18, 22, 26, 30, 34, ? (a) 39 (b) 37 (c) 42 (d) 38
  26. 26.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 33 (c) 32 (d) 40
  27. 27.What comes next? 24, 20, 16, 12, 8, ? (a) 4 (b) 5 (c) 3 (d) 6
  28. 28.What comes next? 27, 30, 33, 36, 39, ? (a) 42 (b) 45 (c) 43 (d) 41
  29. 29.What comes next? 16, 20, 25, 31, 38, ? (a) 47 (b) 45 (c) 48 (d) 46
  30. 30.What comes next? 18, 22, 21, 25, 24, 28, ? (a) 32 (b) 26 (c) 29 (d) 27
  31. 31.What comes next? 15, 18, 22, 27, 33, ? (a) 41 (b) 40 (c) 39 (d) 42
  32. 32.What comes next? 2, 3, 5, 8, 12, ? (a) 17 (b) 16 (c) 18 (d) 19
  33. 33.What comes next? 57, 48, 39, 30, 21, ? (a) 12 (b) 11 (c) 13 (d) 3
  34. 34.What comes next? 3, 4, 6, 9, 13, ? (a) 18 (b) 17 (c) 19 (d) 20
  35. 35.What comes next? 31, 27, 23, 19, 15, ? (a) 12 (b) 10 (c) 11 (d) 7
  36. 36.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 72 (c) 96 (d) 97
  37. 37.What comes next? 29, 26, 23, 20, 17, ? (a) 11 (b) 15 (c) 14 (d) 13
  38. 38.What comes next? 2, 5, 8, 11, 14, ? (a) 20 (b) 16 (c) 17 (d) 18
  39. 39.What comes next? 21, 26, 31, 36, 41, ? (a) 51 (b) 46 (c) 47 (d) 45
  40. 40.What comes next? 14, 23, 22, 31, 30, 39, ? (a) 38 (b) 48 (c) 40 (d) 37

Answer key

  1. 32
  2. 62
  3. 57
  4. 63
  5. 42
  6. 162
  7. 160
  8. 39
  9. 41
  10. 6
  11. 39
  12. 192
  13. 8
  14. 79
  15. 44
  16. 64
  17. 85
  18. 243
  19. 128
  20. 2
  21. 81
  22. 61
  23. 15
  24. 20
  25. 38
  26. 32
  27. 4
  28. 42
  29. 46
  30. 27
  31. 40
  32. 17
  33. 12
  34. 18
  35. 11
  36. 96
  37. 14
  38. 17
  39. 46
  40. 38

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