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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 460 · 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? 10, 13, 17, 22, 28, ? (a) 36 (b) 35 (c) 37 (d) 34
  2. 2.What comes next? 20, 26, 21, 27, 22, 28, ? (a) 22 (b) 23 (c) 33 (d) 34
  3. 3.What comes next? 14, 22, 16, 24, 18, 26, ? (a) 34 (b) 32 (c) 20 (d) 19
  4. 4.What comes next? 5, 6, 8, 11, 15, ? (a) 22 (b) 20 (c) 21 (d) 19
  5. 5.What comes next? 19, 22, 26, 31, 37, ? (a) 43 (b) 45 (c) 46 (d) 44
  6. 6.What comes next? 22, 19, 16, 13, 10, ? (a) 7 (b) 6 (c) 8 (d) 4
  7. 7.What comes next? 5, 7, 10, 14, 19, ? (a) 24 (b) 25 (c) 26 (d) 27
  8. 8.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 48 (c) 65 (d) 64
  9. 9.What comes next? 15, 18, 22, 27, 33, ? (a) 39 (b) 41 (c) 40 (d) 42
  10. 10.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 162 (c) 180 (d) 90
  11. 11.What comes next? 2, 8, 6, 12, 10, 16, ? (a) 22 (b) 14 (c) 18 (d) 13
  12. 12.What comes next? 3, 12, 21, 30, 39, ? (a) 57 (b) 49 (c) 48 (d) 47
  13. 13.What comes next? 22, 28, 34, 40, 46, ? (a) 53 (b) 51 (c) 52 (d) 58
  14. 14.What comes next? 7, 11, 16, 22, 29, ? (a) 38 (b) 39 (c) 37 (d) 36
  15. 15.What comes next? 18, 22, 27, 33, 40, ? (a) 48 (b) 49 (c) 47 (d) 50
  16. 16.What comes next? 43, 35, 27, 19, 11, ? (a) 2 (b) 5 (c) 3 (d) 4
  17. 17.What comes next? 28, 40, 52, 64, 76, ? (a) 87 (b) 89 (c) 88 (d) 100
  18. 18.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 24 (c) 40 (d) 32
  19. 19.What comes next? 4, 8, 13, 19, 26, ? (a) 33 (b) 36 (c) 35 (d) 34
  20. 20.What comes next? 18, 21, 25, 30, 36, ? (a) 43 (b) 44 (c) 45 (d) 42
  21. 21.What comes next? 47, 38, 29, 20, 11, ? (a) 1 (b) 3 (c) 4 (d) 2
  22. 22.What comes next? 45, 40, 35, 30, 25, ? (a) 15 (b) 19 (c) 20 (d) 21
  23. 23.What comes next? 5, 9, 13, 17, 21, ? (a) 26 (b) 24 (c) 25 (d) 29
  24. 24.What comes next? 16, 18, 21, 25, 30, ? (a) 35 (b) 36 (c) 37 (d) 38
  25. 25.What comes next? 2, 8, 14, 20, 26, ? (a) 32 (b) 31 (c) 33 (d) 38
  26. 26.What comes next? 11, 17, 15, 21, 19, 25, ? (a) 22 (b) 23 (c) 31 (d) 27
  27. 27.What comes next? 18, 25, 32, 39, 46, ? (a) 52 (b) 54 (c) 53 (d) 60
  28. 28.What comes next? 13, 17, 22, 28, 35, ? (a) 43 (b) 45 (c) 42 (d) 44
  29. 29.What comes next? 1, 2, 4, 7, 11, ? (a) 17 (b) 15 (c) 18 (d) 16
  30. 30.What comes next? 63, 55, 47, 39, 31, ? (a) 23 (b) 24 (c) 22 (d) 15
  31. 31.What comes next? 52, 47, 42, 37, 32, ? (a) 28 (b) 22 (c) 27 (d) 26
  32. 32.What comes next? 17, 19, 22, 26, 31, ? (a) 39 (b) 36 (c) 38 (d) 37
  33. 33.What comes next? 36, 32, 28, 24, 20, ? (a) 12 (b) 17 (c) 16 (d) 15
  34. 34.What comes next? 27, 29, 31, 33, 35, ? (a) 38 (b) 36 (c) 39 (d) 37
  35. 35.What comes next? 12, 19, 26, 33, 40, ? (a) 54 (b) 47 (c) 48 (d) 46
  36. 36.What comes next? 13, 19, 15, 21, 17, 23, ? (a) 27 (b) 18 (c) 29 (d) 19
  37. 37.What comes next? 1, 3, 6, 10, 15, ? (a) 20 (b) 23 (c) 21 (d) 22
  38. 38.What comes next? 23, 30, 37, 44, 51, ? (a) 58 (b) 59 (c) 65 (d) 57
  39. 39.What comes next? 20, 17, 14, 11, 8, ? (a) 4 (b) 5 (c) 2 (d) 6
  40. 40.What comes next? 17, 23, 19, 25, 21, 27, ? (a) 33 (b) 31 (c) 22 (d) 23

Answer key

  1. 35
  2. 23
  3. 20
  4. 20
  5. 44
  6. 7
  7. 25
  8. 64
  9. 40
  10. 162
  11. 14
  12. 48
  13. 52
  14. 37
  15. 48
  16. 3
  17. 88
  18. 32
  19. 34
  20. 43
  21. 2
  22. 20
  23. 25
  24. 36
  25. 32
  26. 23
  27. 53
  28. 43
  29. 16
  30. 23
  31. 27
  32. 37
  33. 16
  34. 37
  35. 47
  36. 19
  37. 21
  38. 58
  39. 5
  40. 23

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