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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 671 · 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? 5, 8, 11, 14, 17, ? (a) 21 (b) 23 (c) 20 (d) 19
  2. 2.What comes next? 14, 18, 15, 19, 16, 20, ? (a) 16 (b) 23 (c) 17 (d) 24
  3. 3.What comes next? 41, 33, 25, 17, 9, ? (a) 2 (b) 4 (c) 1 (d) 3
  4. 4.What comes next? 29, 25, 21, 17, 13, ? (a) 5 (b) 10 (c) 9 (d) 8
  5. 5.What comes next? 29, 32, 35, 38, 41, ? (a) 47 (b) 45 (c) 43 (d) 44
  6. 6.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 45 (c) 72 (d) 81
  7. 7.What comes next? 10, 17, 24, 31, 38, ? (a) 46 (b) 44 (c) 52 (d) 45
  8. 8.What comes next? 64, 56, 48, 40, 32, ? (a) 23 (b) 24 (c) 25 (d) 16
  9. 9.What comes next? 49, 44, 39, 34, 29, ? (a) 24 (b) 25 (c) 19 (d) 23
  10. 10.What comes next? 4, 13, 5, 14, 6, 15, ? (a) 6 (b) 23 (c) 24 (d) 7
  11. 11.What comes next? 10, 13, 17, 22, 28, ? (a) 35 (b) 34 (c) 37 (d) 36
  12. 12.What comes next? 34, 28, 22, 16, 10, ? (a) 3 (b) 4 (c) 5 (d) 6
  13. 13.What comes next? 13, 22, 21, 30, 29, 38, ? (a) 36 (b) 39 (c) 47 (d) 37
  14. 14.What comes next? 30, 41, 52, 63, 74, ? (a) 96 (b) 86 (c) 85 (d) 84
  15. 15.What comes next? 48, 43, 38, 33, 28, ? (a) 22 (b) 24 (c) 23 (d) 18
  16. 16.What comes next? 68, 60, 52, 44, 36, ? (a) 27 (b) 28 (c) 20 (d) 29
  17. 17.What comes next? 27, 22, 17, 12, 7, ? (a) 2 (b) 3 (c) 4 (d) 1
  18. 18.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 270 (c) 216 (d) 243
  19. 19.What comes next? 7, 9, 12, 16, 21, ? (a) 26 (b) 27 (c) 29 (d) 28
  20. 20.What comes next? 10, 21, 32, 43, 54, ? (a) 76 (b) 66 (c) 65 (d) 64
  21. 21.What comes next? 5, 6, 8, 11, 15, ? (a) 19 (b) 21 (c) 20 (d) 22
  22. 22.What comes next? 16, 18, 21, 25, 30, ? (a) 35 (b) 37 (c) 38 (d) 36
  23. 23.What comes next? 12, 23, 34, 45, 56, ? (a) 78 (b) 68 (c) 66 (d) 67
  24. 24.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 96 (c) 128 (d) 160
  25. 25.What comes next? 3, 6, 10, 15, 21, ? (a) 29 (b) 28 (c) 27 (d) 30
  26. 26.What comes next? 27, 33, 39, 45, 51, ? (a) 57 (b) 56 (c) 63 (d) 58
  27. 27.What comes next? 54, 46, 38, 30, 22, ? (a) 13 (b) 15 (c) 14 (d) 6
  28. 28.What comes next? 27, 37, 47, 57, 67, ? (a) 87 (b) 78 (c) 77 (d) 76
  29. 29.What comes next? 11, 9, 7, 5, 3, ? (a) 2 (b) 3 (c) 4 (d) 1
  30. 30.What comes next? 20, 24, 22, 26, 24, 28, ? (a) 25 (b) 32 (c) 26 (d) 30
  31. 31.What comes next? 3, 10, 17, 24, 31, ? (a) 39 (b) 38 (c) 45 (d) 37
  32. 32.What comes next? 13, 15, 18, 22, 27, ? (a) 34 (b) 32 (c) 35 (d) 33
  33. 33.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 120 (c) 160 (d) 161
  34. 34.What comes next? 17, 19, 22, 26, 31, ? (a) 36 (b) 37 (c) 38 (d) 39
  35. 35.What comes next? 32, 28, 24, 20, 16, ? (a) 11 (b) 13 (c) 12 (d) 8
  36. 36.What comes next? 15, 19, 16, 20, 17, 21, ? (a) 25 (b) 17 (c) 18 (d) 24
  37. 37.What comes next? 2, 14, 26, 38, 50, ? (a) 74 (b) 63 (c) 62 (d) 61
  38. 38.What comes next? 23, 28, 33, 38, 43, ? (a) 49 (b) 53 (c) 47 (d) 48
  39. 39.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 32 (c) 33 (d) 24
  40. 40.What comes next? 6, 10, 15, 21, 28, ? (a) 36 (b) 37 (c) 38 (d) 35

Answer key

  1. 20
  2. 17
  3. 1
  4. 9
  5. 44
  6. 81
  7. 45
  8. 24
  9. 24
  10. 7
  11. 35
  12. 4
  13. 37
  14. 85
  15. 23
  16. 28
  17. 2
  18. 243
  19. 27
  20. 65
  21. 20
  22. 36
  23. 67
  24. 128
  25. 28
  26. 57
  27. 14
  28. 77
  29. 1
  30. 26
  31. 38
  32. 33
  33. 160
  34. 37
  35. 12
  36. 18
  37. 62
  38. 48
  39. 32
  40. 36

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