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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 366 · 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? 10, 11, 13, 16, 20, ? (a) 27 (b) 25 (c) 24 (d) 26
  2. 2.What comes next? 16, 26, 36, 46, 56, ? (a) 66 (b) 67 (c) 65 (d) 76
  3. 3.What comes next? 18, 27, 36, 45, 54, ? (a) 72 (b) 62 (c) 64 (d) 63
  4. 4.What comes next? 20, 24, 29, 35, 42, ? (a) 50 (b) 52 (c) 51 (d) 49
  5. 5.What comes next? 19, 22, 26, 31, 37, ? (a) 43 (b) 46 (c) 44 (d) 45
  6. 6.What comes next? 60, 52, 44, 36, 28, ? (a) 20 (b) 19 (c) 12 (d) 21
  7. 7.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 48 (c) 64 (d) 80
  8. 8.What comes next? 3, 5, 8, 12, 17, ? (a) 22 (b) 23 (c) 24 (d) 25
  9. 9.What comes next? 16, 14, 12, 10, 8, ? (a) 4 (b) 6 (c) 7 (d) 5
  10. 10.What comes next? 29, 36, 43, 50, 57, ? (a) 63 (b) 65 (c) 71 (d) 64
  11. 11.What comes next? 5, 13, 12, 20, 19, 27, ? (a) 35 (b) 26 (c) 25 (d) 28
  12. 12.What comes next? 64, 57, 50, 43, 36, ? (a) 22 (b) 29 (c) 28 (d) 30
  13. 13.What comes next? 7, 9, 11, 13, 15, ? (a) 19 (b) 18 (c) 17 (d) 16
  14. 14.What comes next? 36, 29, 22, 15, 8, ? (a) 3 (b) 1 (c) 4 (d) 2
  15. 15.What comes next? 12, 20, 17, 25, 22, 30, ? (a) 26 (b) 33 (c) 38 (d) 27
  16. 16.What comes next? 6, 12, 24, 48, 96, ? (a) 192 (b) 240 (c) 144 (d) 193
  17. 17.What comes next? 28, 38, 48, 58, 68, ? (a) 79 (b) 78 (c) 88 (d) 77
  18. 18.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 216 (c) 135 (d) 270
  19. 19.What comes next? 37, 34, 31, 28, 25, ? (a) 19 (b) 23 (c) 21 (d) 22
  20. 20.What comes next? 3, 7, 5, 9, 7, 11, ? (a) 15 (b) 8 (c) 13 (d) 9
  21. 21.What comes next? 25, 22, 19, 16, 13, ? (a) 11 (b) 7 (c) 9 (d) 10
  22. 22.What comes next? 18, 22, 20, 24, 22, 26, ? (a) 30 (b) 28 (c) 24 (d) 23
  23. 23.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 81 (c) 90 (d) 45
  24. 24.What comes next? 10, 14, 19, 25, 32, ? (a) 42 (b) 39 (c) 40 (d) 41
  25. 25.What comes next? 29, 25, 21, 17, 13, ? (a) 8 (b) 5 (c) 10 (d) 9
  26. 26.What comes next? 14, 19, 17, 22, 20, 25, ? (a) 23 (b) 30 (c) 27 (d) 22
  27. 27.What comes next? 5, 10, 7, 12, 9, 14, ? (a) 11 (b) 10 (c) 19 (d) 17
  28. 28.What comes next? 30, 26, 22, 18, 14, ? (a) 6 (b) 9 (c) 11 (d) 10
  29. 29.What comes next? 6, 15, 12, 21, 18, 27, ? (a) 36 (b) 23 (c) 30 (d) 24
  30. 30.What comes next? 4, 13, 22, 31, 40, ? (a) 48 (b) 58 (c) 50 (d) 49
  31. 31.What comes next? 45, 39, 33, 27, 21, ? (a) 9 (b) 14 (c) 16 (d) 15
  32. 32.What comes next? 13, 17, 22, 28, 35, ? (a) 42 (b) 44 (c) 43 (d) 45
  33. 33.What comes next? 8, 9, 11, 14, 18, ? (a) 24 (b) 22 (c) 25 (d) 23
  34. 34.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 90 (c) 180 (d) 162
  35. 35.What comes next? 2, 8, 6, 12, 10, 16, ? (a) 22 (b) 14 (c) 18 (d) 13
  36. 36.What comes next? 43, 36, 29, 22, 15, ? (a) 8 (b) 9 (c) 1 (d) 7
  37. 37.What comes next? 5, 8, 12, 17, 23, ? (a) 32 (b) 30 (c) 29 (d) 31
  38. 38.What comes next? 14, 15, 17, 20, 24, ? (a) 29 (b) 31 (c) 30 (d) 28
  39. 39.What comes next? 5, 7, 9, 11, 13, ? (a) 15 (b) 17 (c) 16 (d) 14
  40. 40.What comes next? 30, 35, 40, 45, 50, ? (a) 54 (b) 56 (c) 60 (d) 55

Answer key

  1. 25
  2. 66
  3. 63
  4. 50
  5. 44
  6. 20
  7. 64
  8. 23
  9. 6
  10. 64
  11. 26
  12. 29
  13. 17
  14. 1
  15. 27
  16. 192
  17. 78
  18. 243
  19. 22
  20. 9
  21. 10
  22. 24
  23. 81
  24. 40
  25. 9
  26. 23
  27. 11
  28. 10
  29. 24
  30. 49
  31. 15
  32. 43
  33. 23
  34. 162
  35. 14
  36. 8
  37. 30
  38. 29
  39. 15
  40. 55

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