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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 470 · 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, 16, 15, 24, 23, 32, ? (a) 31 (b) 33 (c) 30 (d) 41
  2. 2.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 80 (c) 65 (d) 64
  3. 3.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 160 (c) 128 (d) 96
  4. 4.What comes next? 8, 14, 20, 26, 32, ? (a) 39 (b) 44 (c) 38 (d) 37
  5. 5.What comes next? 44, 39, 34, 29, 24, ? (a) 19 (b) 20 (c) 18 (d) 14
  6. 6.What comes next? 15, 25, 35, 45, 55, ? (a) 66 (b) 64 (c) 65 (d) 75
  7. 7.What comes next? 28, 31, 34, 37, 40, ? (a) 44 (b) 46 (c) 43 (d) 42
  8. 8.What comes next? 17, 25, 22, 30, 27, 35, ? (a) 43 (b) 38 (c) 32 (d) 31
  9. 9.What comes next? 1, 6, 3, 8, 5, 10, ? (a) 6 (b) 13 (c) 7 (d) 15
  10. 10.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 45 (c) 72 (d) 81
  11. 11.What comes next? 13, 20, 27, 34, 41, ? (a) 49 (b) 55 (c) 48 (d) 47
  12. 12.What comes next? 1, 2, 4, 7, 11, ? (a) 17 (b) 18 (c) 15 (d) 16
  13. 13.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 120 (c) 97 (d) 72
  14. 14.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 162 (c) 180 (d) 90
  15. 15.What comes next? 6, 10, 15, 21, 28, ? (a) 35 (b) 38 (c) 36 (d) 37
  16. 16.What comes next? 50, 45, 40, 35, 30, ? (a) 20 (b) 26 (c) 24 (d) 25
  17. 17.What comes next? 5, 10, 8, 13, 11, 16, ? (a) 18 (b) 13 (c) 14 (d) 21
  18. 18.What comes next? 14, 21, 18, 25, 22, 29, ? (a) 32 (b) 26 (c) 25 (d) 36
  19. 19.What comes next? 27, 23, 19, 15, 11, ? (a) 6 (b) 7 (c) 3 (d) 8
  20. 20.What comes next? 12, 13, 15, 18, 22, ? (a) 29 (b) 26 (c) 28 (d) 27
  21. 21.What comes next? 13, 16, 15, 18, 17, 20, ? (a) 18 (b) 21 (c) 19 (d) 23
  22. 22.What comes next? 13, 16, 19, 22, 25, ? (a) 27 (b) 28 (c) 31 (d) 29
  23. 23.What comes next? 40, 36, 32, 28, 24, ? (a) 16 (b) 20 (c) 21 (d) 19
  24. 24.What comes next? 19, 31, 43, 55, 67, ? (a) 91 (b) 79 (c) 80 (d) 78
  25. 25.What comes next? 61, 53, 45, 37, 29, ? (a) 22 (b) 21 (c) 20 (d) 13
  26. 26.What comes next? 10, 11, 13, 16, 20, ? (a) 27 (b) 26 (c) 24 (d) 25
  27. 27.What comes next? 27, 38, 49, 60, 71, ? (a) 82 (b) 93 (c) 81 (d) 83
  28. 28.What comes next? 14, 18, 23, 29, 36, ? (a) 46 (b) 45 (c) 44 (d) 43
  29. 29.What comes next? 5, 13, 9, 17, 13, 21, ? (a) 25 (b) 16 (c) 29 (d) 17
  30. 30.What comes next? 9, 15, 11, 17, 13, 19, ? (a) 15 (b) 23 (c) 14 (d) 25
  31. 31.What comes next? 41, 38, 35, 32, 29, ? (a) 23 (b) 27 (c) 26 (d) 25
  32. 32.What comes next? 3, 5, 8, 12, 17, ? (a) 24 (b) 23 (c) 22 (d) 25
  33. 33.What comes next? 25, 22, 19, 16, 13, ? (a) 10 (b) 9 (c) 11 (d) 7
  34. 34.What comes next? 13, 16, 20, 25, 31, ? (a) 39 (b) 40 (c) 38 (d) 37
  35. 35.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 33 (c) 32 (d) 24
  36. 36.What comes next? 13, 15, 18, 22, 27, ? (a) 34 (b) 32 (c) 33 (d) 35
  37. 37.What comes next? 9, 10, 12, 15, 19, ? (a) 23 (b) 25 (c) 26 (d) 24
  38. 38.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 216 (c) 270 (d) 243
  39. 39.What comes next? 13, 11, 9, 7, 5, ? (a) 4 (b) 2 (c) 1 (d) 3
  40. 40.What comes next? 18, 25, 32, 39, 46, ? (a) 54 (b) 52 (c) 53 (d) 60

Answer key

  1. 31
  2. 64
  3. 128
  4. 38
  5. 19
  6. 65
  7. 43
  8. 32
  9. 7
  10. 81
  11. 48
  12. 16
  13. 96
  14. 162
  15. 36
  16. 25
  17. 14
  18. 26
  19. 7
  20. 27
  21. 19
  22. 28
  23. 20
  24. 79
  25. 21
  26. 25
  27. 82
  28. 44
  29. 17
  30. 15
  31. 26
  32. 23
  33. 10
  34. 38
  35. 32
  36. 33
  37. 24
  38. 243
  39. 3
  40. 53

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