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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 635 · 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? 17, 21, 26, 32, 39, ? (a) 48 (b) 46 (c) 49 (d) 47
  2. 2.What comes next? 17, 20, 24, 29, 35, ? (a) 43 (b) 42 (c) 44 (d) 41
  3. 3.What comes next? 59, 50, 41, 32, 23, ? (a) 14 (b) 5 (c) 13 (d) 15
  4. 4.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 81 (c) 90 (d) 45
  5. 5.What comes next? 6, 10, 7, 11, 8, 12, ? (a) 8 (b) 15 (c) 16 (d) 9
  6. 6.What comes next? 26, 22, 18, 14, 10, ? (a) 7 (b) 6 (c) 2 (d) 5
  7. 7.What comes next? 11, 14, 17, 20, 23, ? (a) 26 (b) 27 (c) 29 (d) 25
  8. 8.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 160 (c) 128 (d) 96
  9. 9.What comes next? 33, 30, 27, 24, 21, ? (a) 15 (b) 19 (c) 18 (d) 17
  10. 10.What comes next? 6, 14, 22, 30, 38, ? (a) 54 (b) 47 (c) 46 (d) 45
  11. 11.What comes next? 6, 7, 9, 12, 16, ? (a) 22 (b) 21 (c) 20 (d) 23
  12. 12.What comes next? 12, 13, 15, 18, 22, ? (a) 26 (b) 29 (c) 27 (d) 28
  13. 13.What comes next? 10, 11, 13, 16, 20, ? (a) 27 (b) 24 (c) 25 (d) 26
  14. 14.What comes next? 41, 36, 31, 26, 21, ? (a) 16 (b) 15 (c) 11 (d) 17
  15. 15.What comes next? 27, 25, 23, 21, 19, ? (a) 16 (b) 18 (c) 17 (d) 15
  16. 16.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 80 (c) 65 (d) 48
  17. 17.What comes next? 8, 17, 26, 35, 44, ? (a) 54 (b) 52 (c) 53 (d) 62
  18. 18.What comes next? 32, 28, 24, 20, 16, ? (a) 12 (b) 11 (c) 13 (d) 8
  19. 19.What comes next? 7, 14, 10, 17, 13, 20, ? (a) 27 (b) 16 (c) 15 (d) 24
  20. 20.What comes next? 52, 43, 34, 25, 16, ? (a) 7 (b) 6 (c) 8 (d) 9
  21. 21.What comes next? 35, 33, 31, 29, 27, ? (a) 23 (b) 26 (c) 24 (d) 25
  22. 22.What comes next? 2, 3, 5, 8, 12, ? (a) 18 (b) 16 (c) 19 (d) 17
  23. 23.What comes next? 10, 18, 16, 24, 22, 30, ? (a) 38 (b) 32 (c) 27 (d) 28
  24. 24.What comes next? 6, 18, 30, 42, 54, ? (a) 65 (b) 66 (c) 78 (d) 67
  25. 25.What comes next? 12, 21, 19, 28, 26, 35, ? (a) 33 (b) 32 (c) 44 (d) 37
  26. 26.What comes next? 3, 13, 23, 33, 43, ? (a) 63 (b) 53 (c) 54 (d) 52
  27. 27.What comes next? 13, 16, 20, 25, 31, ? (a) 39 (b) 40 (c) 37 (d) 38
  28. 28.What comes next? 16, 25, 17, 26, 18, 27, ? (a) 35 (b) 19 (c) 18 (d) 36
  29. 29.What comes next? 20, 26, 23, 29, 26, 32, ? (a) 29 (b) 38 (c) 28 (d) 35
  30. 30.What comes next? 2, 4, 7, 11, 16, ? (a) 22 (b) 21 (c) 23 (d) 24
  31. 31.What comes next? 22, 24, 26, 28, 30, ? (a) 34 (b) 31 (c) 33 (d) 32
  32. 32.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 144 (c) 240 (d) 192
  33. 33.What comes next? 3, 11, 6, 14, 9, 17, ? (a) 25 (b) 22 (c) 11 (d) 12
  34. 34.What comes next? 2, 6, 11, 17, 24, ? (a) 32 (b) 34 (c) 31 (d) 33
  35. 35.What comes next? 14, 22, 18, 26, 22, 30, ? (a) 34 (b) 38 (c) 26 (d) 25
  36. 36.What comes next? 2, 5, 9, 14, 20, ? (a) 26 (b) 28 (c) 29 (d) 27
  37. 37.What comes next? 22, 31, 40, 49, 58, ? (a) 66 (b) 67 (c) 68 (d) 76
  38. 38.What comes next? 37, 31, 25, 19, 13, ? (a) 1 (b) 6 (c) 7 (d) 8
  39. 39.What comes next? 7, 14, 21, 28, 35, ? (a) 41 (b) 49 (c) 42 (d) 43
  40. 40.What comes next? 11, 18, 12, 19, 13, 20, ? (a) 14 (b) 13 (c) 26 (d) 27

Answer key

  1. 47
  2. 42
  3. 14
  4. 81
  5. 9
  6. 6
  7. 26
  8. 128
  9. 18
  10. 46
  11. 21
  12. 27
  13. 25
  14. 16
  15. 17
  16. 64
  17. 53
  18. 12
  19. 16
  20. 7
  21. 25
  22. 17
  23. 28
  24. 66
  25. 33
  26. 53
  27. 38
  28. 19
  29. 29
  30. 22
  31. 32
  32. 192
  33. 12
  34. 32
  35. 26
  36. 27
  37. 67
  38. 7
  39. 42
  40. 14

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