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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 594 · 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? 2, 4, 8, 16, 32, ? (a) 48 (b) 80 (c) 65 (d) 64
  2. 2.What comes next? 1, 8, 4, 11, 7, 14, ? (a) 10 (b) 9 (c) 21 (d) 18
  3. 3.What comes next? 12, 16, 21, 27, 34, ? (a) 42 (b) 41 (c) 43 (d) 44
  4. 4.What comes next? 27, 22, 17, 12, 7, ? (a) 2 (b) 3 (c) 1 (d) 4
  5. 5.What comes next? 45, 42, 39, 36, 33, ? (a) 29 (b) 30 (c) 31 (d) 27
  6. 6.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 33 (c) 24 (d) 32
  7. 7.What comes next? 9, 13, 18, 24, 31, ? (a) 38 (b) 40 (c) 39 (d) 41
  8. 8.What comes next? 7, 8, 10, 13, 17, ? (a) 24 (b) 21 (c) 23 (d) 22
  9. 9.What comes next? 14, 17, 15, 18, 16, 19, ? (a) 16 (b) 21 (c) 22 (d) 17
  10. 10.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 129 (c) 160 (d) 96
  11. 11.What comes next? 14, 25, 36, 47, 58, ? (a) 69 (b) 68 (c) 70 (d) 80
  12. 12.What comes next? 11, 17, 15, 21, 19, 25, ? (a) 27 (b) 23 (c) 22 (d) 31
  13. 13.What comes next? 19, 22, 26, 31, 37, ? (a) 45 (b) 43 (c) 46 (d) 44
  14. 14.What comes next? 37, 33, 29, 25, 21, ? (a) 16 (b) 13 (c) 18 (d) 17
  15. 15.What comes next? 27, 23, 19, 15, 11, ? (a) 3 (b) 8 (c) 6 (d) 7
  16. 16.What comes next? 17, 19, 22, 26, 31, ? (a) 37 (b) 39 (c) 38 (d) 36
  17. 17.What comes next? 39, 32, 25, 18, 11, ? (a) 6 (b) 3 (c) 4 (d) 5
  18. 18.What comes next? 2, 5, 9, 14, 20, ? (a) 28 (b) 27 (c) 29 (d) 26
  19. 19.What comes next? 10, 18, 15, 23, 20, 28, ? (a) 31 (b) 24 (c) 36 (d) 25
  20. 20.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 144 (c) 180 (d) 162
  21. 21.What comes next? 4, 11, 18, 25, 32, ? (a) 40 (b) 38 (c) 39 (d) 46
  22. 22.What comes next? 5, 7, 10, 14, 19, ? (a) 24 (b) 25 (c) 26 (d) 27
  23. 23.What comes next? 21, 28, 35, 42, 49, ? (a) 63 (b) 55 (c) 56 (d) 57
  24. 24.What comes next? 29, 32, 35, 38, 41, ? (a) 44 (b) 45 (c) 47 (d) 43
  25. 25.What comes next? 12, 23, 34, 45, 56, ? (a) 78 (b) 68 (c) 67 (d) 66
  26. 26.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 96 (c) 120 (d) 72
  27. 27.What comes next? 24, 32, 40, 48, 56, ? (a) 63 (b) 72 (c) 65 (d) 64
  28. 28.What comes next? 10, 13, 11, 14, 12, 15, ? (a) 17 (b) 13 (c) 12 (d) 18
  29. 29.What comes next? 67, 58, 49, 40, 31, ? (a) 21 (b) 13 (c) 22 (d) 23
  30. 30.What comes next? 9, 12, 15, 18, 21, ? (a) 25 (b) 24 (c) 27 (d) 23
  31. 31.What comes next? 29, 34, 39, 44, 49, ? (a) 59 (b) 53 (c) 54 (d) 55
  32. 32.What comes next? 3, 6, 5, 8, 7, 10, ? (a) 8 (b) 13 (c) 11 (d) 9
  33. 33.What comes next? 29, 26, 23, 20, 17, ? (a) 11 (b) 13 (c) 15 (d) 14
  34. 34.What comes next? 55, 50, 45, 40, 35, ? (a) 31 (b) 30 (c) 29 (d) 25
  35. 35.What comes next? 18, 28, 38, 48, 58, ? (a) 68 (b) 69 (c) 67 (d) 78
  36. 36.What comes next? 26, 36, 46, 56, 66, ? (a) 75 (b) 77 (c) 86 (d) 76
  37. 37.What comes next? 19, 27, 35, 43, 51, ? (a) 58 (b) 60 (c) 59 (d) 67
  38. 38.What comes next? 6, 15, 7, 16, 8, 17, ? (a) 25 (b) 8 (c) 9 (d) 26
  39. 39.What comes next? 3, 9, 4, 10, 5, 11, ? (a) 16 (b) 6 (c) 17 (d) 5
  40. 40.What comes next? 1, 5, 4, 8, 7, 11, ? (a) 12 (b) 10 (c) 15 (d) 9

Answer key

  1. 64
  2. 10
  3. 42
  4. 2
  5. 30
  6. 32
  7. 39
  8. 22
  9. 17
  10. 128
  11. 69
  12. 23
  13. 44
  14. 17
  15. 7
  16. 37
  17. 4
  18. 27
  19. 25
  20. 162
  21. 39
  22. 25
  23. 56
  24. 44
  25. 67
  26. 96
  27. 64
  28. 13
  29. 22
  30. 24
  31. 54
  32. 9
  33. 14
  34. 30
  35. 68
  36. 76
  37. 59
  38. 9
  39. 6
  40. 10

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