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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 356 · 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? 21, 32, 43, 54, 65, ? (a) 77 (b) 87 (c) 76 (d) 75
  2. 2.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 90 (c) 45 (d) 72
  3. 3.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 24 (c) 40 (d) 33
  4. 4.What comes next? 20, 17, 14, 11, 8, ? (a) 6 (b) 4 (c) 5 (d) 2
  5. 5.What comes next? 65, 57, 49, 41, 33, ? (a) 25 (b) 26 (c) 17 (d) 24
  6. 6.What comes next? 13, 19, 14, 20, 15, 21, ? (a) 27 (b) 16 (c) 15 (d) 26
  7. 7.What comes next? 10, 16, 15, 21, 20, 26, ? (a) 27 (b) 25 (c) 32 (d) 24
  8. 8.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 135 (c) 216 (d) 243
  9. 9.What comes next? 4, 15, 26, 37, 48, ? (a) 60 (b) 70 (c) 58 (d) 59
  10. 10.What comes next? 7, 8, 10, 13, 17, ? (a) 24 (b) 23 (c) 22 (d) 21
  11. 11.What comes next? 3, 6, 4, 7, 5, 8, ? (a) 10 (b) 5 (c) 11 (d) 6
  12. 12.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 65 (c) 48 (d) 80
  13. 13.What comes next? 17, 22, 27, 32, 37, ? (a) 43 (b) 47 (c) 42 (d) 41
  14. 14.What comes next? 29, 26, 23, 20, 17, ? (a) 15 (b) 14 (c) 11 (d) 13
  15. 15.What comes next? 2, 9, 4, 11, 6, 13, ? (a) 20 (b) 18 (c) 8 (d) 7
  16. 16.What comes next? 36, 32, 28, 24, 20, ? (a) 15 (b) 16 (c) 17 (d) 12
  17. 17.What comes next? 28, 25, 22, 19, 16, ? (a) 10 (b) 12 (c) 13 (d) 14
  18. 18.What comes next? 16, 19, 23, 28, 34, ? (a) 42 (b) 41 (c) 43 (d) 40
  19. 19.What comes next? 15, 23, 31, 39, 47, ? (a) 54 (b) 55 (c) 56 (d) 63
  20. 20.What comes next? 26, 23, 20, 17, 14, ? (a) 12 (b) 10 (c) 8 (d) 11
  21. 21.What comes next? 19, 24, 20, 25, 21, 26, ? (a) 30 (b) 31 (c) 22 (d) 21
  22. 22.What comes next? 18, 22, 27, 33, 40, ? (a) 47 (b) 49 (c) 50 (d) 48
  23. 23.What comes next? 13, 24, 35, 46, 57, ? (a) 67 (b) 68 (c) 69 (d) 79
  24. 24.What comes next? 19, 26, 22, 29, 25, 32, ? (a) 27 (b) 39 (c) 36 (d) 28
  25. 25.What comes next? 3, 7, 5, 9, 7, 11, ? (a) 13 (b) 8 (c) 15 (d) 9
  26. 26.What comes next? 21, 28, 35, 42, 49, ? (a) 57 (b) 63 (c) 55 (d) 56
  27. 27.What comes next? 22, 29, 36, 43, 50, ? (a) 56 (b) 58 (c) 57 (d) 64
  28. 28.What comes next? 17, 14, 11, 8, 5, ? (a) 4 (b) 1 (c) 3 (d) 2
  29. 29.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 144 (c) 193 (d) 192
  30. 30.What comes next? 13, 16, 19, 22, 25, ? (a) 27 (b) 29 (c) 28 (d) 31
  31. 31.What comes next? 20, 23, 21, 24, 22, 25, ? (a) 27 (b) 22 (c) 23 (d) 28
  32. 32.What comes next? 20, 26, 21, 27, 22, 28, ? (a) 22 (b) 23 (c) 33 (d) 34
  33. 33.What comes next? 16, 22, 17, 23, 18, 24, ? (a) 19 (b) 29 (c) 30 (d) 18
  34. 34.What comes next? 21, 18, 15, 12, 9, ? (a) 7 (b) 3 (c) 5 (d) 6
  35. 35.What comes next? 7, 16, 13, 22, 19, 28, ? (a) 25 (b) 24 (c) 37 (d) 31
  36. 36.What comes next? 3, 6, 10, 15, 21, ? (a) 29 (b) 30 (c) 28 (d) 27
  37. 37.What comes next? 15, 19, 18, 22, 21, 25, ? (a) 24 (b) 23 (c) 26 (d) 29
  38. 38.What comes next? 27, 30, 33, 36, 39, ? (a) 45 (b) 41 (c) 42 (d) 43
  39. 39.What comes next? 28, 30, 32, 34, 36, ? (a) 38 (b) 37 (c) 39 (d) 40
  40. 40.What comes next? 17, 25, 33, 41, 49, ? (a) 56 (b) 58 (c) 57 (d) 65

Answer key

  1. 76
  2. 81
  3. 32
  4. 5
  5. 25
  6. 16
  7. 25
  8. 243
  9. 59
  10. 22
  11. 6
  12. 64
  13. 42
  14. 14
  15. 8
  16. 16
  17. 13
  18. 41
  19. 55
  20. 11
  21. 22
  22. 48
  23. 68
  24. 28
  25. 9
  26. 56
  27. 57
  28. 2
  29. 192
  30. 28
  31. 23
  32. 23
  33. 19
  34. 6
  35. 25
  36. 28
  37. 24
  38. 42
  39. 38
  40. 57

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