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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 101 · 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? 1, 2, 4, 8, 16, ? (a) 33 (b) 40 (c) 24 (d) 32
  2. 2.What comes next? 37, 31, 25, 19, 13, ? (a) 8 (b) 1 (c) 7 (d) 6
  3. 3.What comes next? 23, 26, 29, 32, 35, ? (a) 38 (b) 37 (c) 39 (d) 41
  4. 4.What comes next? 3, 10, 6, 13, 9, 16, ? (a) 11 (b) 12 (c) 23 (d) 20
  5. 5.What comes next? 13, 16, 19, 22, 25, ? (a) 28 (b) 31 (c) 29 (d) 27
  6. 6.What comes next? 10, 13, 17, 22, 28, ? (a) 36 (b) 34 (c) 35 (d) 37
  7. 7.What comes next? 3, 6, 9, 12, 15, ? (a) 19 (b) 17 (c) 18 (d) 21
  8. 8.What comes next? 18, 20, 22, 24, 26, ? (a) 27 (b) 28 (c) 29 (d) 30
  9. 9.What comes next? 39, 32, 25, 18, 11, ? (a) 6 (b) 3 (c) 5 (d) 4
  10. 10.What comes next? 5, 11, 7, 13, 9, 15, ? (a) 10 (b) 11 (c) 19 (d) 21
  11. 11.What comes next? 51, 45, 39, 33, 27, ? (a) 15 (b) 22 (c) 20 (d) 21
  12. 12.What comes next? 14, 17, 15, 18, 16, 19, ? (a) 22 (b) 16 (c) 21 (d) 17
  13. 13.What comes next? 21, 30, 39, 48, 57, ? (a) 75 (b) 66 (c) 65 (d) 67
  14. 14.What comes next? 52, 45, 38, 31, 24, ? (a) 16 (b) 17 (c) 10 (d) 18
  15. 15.What comes next? 15, 22, 21, 28, 27, 34, ? (a) 41 (b) 35 (c) 33 (d) 32
  16. 16.What comes next? 57, 51, 45, 39, 33, ? (a) 27 (b) 26 (c) 28 (d) 21
  17. 17.What comes next? 2, 8, 14, 20, 26, ? (a) 33 (b) 31 (c) 38 (d) 32
  18. 18.What comes next? 3, 12, 9, 18, 15, 24, ? (a) 27 (b) 33 (c) 21 (d) 20
  19. 19.What comes next? 19, 22, 25, 28, 31, ? (a) 35 (b) 37 (c) 33 (d) 34
  20. 20.What comes next? 5, 8, 6, 9, 7, 10, ? (a) 7 (b) 12 (c) 8 (d) 13
  21. 21.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 97 (c) 96 (d) 72
  22. 22.What comes next? 24, 34, 44, 54, 64, ? (a) 73 (b) 84 (c) 75 (d) 74
  23. 23.What comes next? 14, 16, 19, 23, 28, ? (a) 36 (b) 35 (c) 34 (d) 33
  24. 24.What comes next? 1, 4, 2, 5, 3, 6, ? (a) 3 (b) 4 (c) 9 (d) 8
  25. 25.What comes next? 34, 32, 30, 28, 26, ? (a) 22 (b) 23 (c) 25 (d) 24
  26. 26.What comes next? 6, 12, 18, 24, 30, ? (a) 37 (b) 42 (c) 36 (d) 35
  27. 27.What comes next? 52, 43, 34, 25, 16, ? (a) 7 (b) 8 (c) 9 (d) 6
  28. 28.What comes next? 6, 12, 7, 13, 8, 14, ? (a) 9 (b) 8 (c) 19 (d) 20
  29. 29.What comes next? 27, 22, 17, 12, 7, ? (a) 2 (b) 3 (c) 4 (d) 1
  30. 30.What comes next? 20, 24, 29, 35, 42, ? (a) 51 (b) 49 (c) 50 (d) 52
  31. 31.What comes next? 17, 28, 39, 50, 61, ? (a) 71 (b) 83 (c) 72 (d) 73
  32. 32.What comes next? 2, 9, 4, 11, 6, 13, ? (a) 20 (b) 7 (c) 18 (d) 8
  33. 33.What comes next? 39, 33, 27, 21, 15, ? (a) 9 (b) 8 (c) 3 (d) 10
  34. 34.What comes next? 8, 10, 12, 14, 16, ? (a) 17 (b) 19 (c) 18 (d) 20
  35. 35.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 144 (c) 90 (d) 162
  36. 36.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 72 (c) 81 (d) 90
  37. 37.What comes next? 68, 59, 50, 41, 32, ? (a) 22 (b) 24 (c) 23 (d) 14
  38. 38.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 48 (c) 65 (d) 64
  39. 39.What comes next? 30, 37, 44, 51, 58, ? (a) 72 (b) 65 (c) 66 (d) 64
  40. 40.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 128 (c) 160 (d) 129

Answer key

  1. 32
  2. 7
  3. 38
  4. 12
  5. 28
  6. 35
  7. 18
  8. 28
  9. 4
  10. 11
  11. 21
  12. 17
  13. 66
  14. 17
  15. 33
  16. 27
  17. 32
  18. 21
  19. 34
  20. 8
  21. 96
  22. 74
  23. 34
  24. 4
  25. 24
  26. 36
  27. 7
  28. 9
  29. 2
  30. 50
  31. 72
  32. 8
  33. 9
  34. 18
  35. 162
  36. 81
  37. 23
  38. 64
  39. 65
  40. 128

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