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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 409 · 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? 15, 20, 25, 30, 35, ? (a) 45 (b) 41 (c) 39 (d) 40
  2. 2.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 45 (c) 72 (d) 81
  3. 3.What comes next? 4, 6, 9, 13, 18, ? (a) 26 (b) 23 (c) 24 (d) 25
  4. 4.What comes next? 46, 37, 28, 19, 10, ? (a) 2 (b) 1 (c) 3 (d) 4
  5. 5.What comes next? 14, 19, 24, 29, 34, ? (a) 44 (b) 38 (c) 40 (d) 39
  6. 6.What comes next? 7, 11, 16, 22, 29, ? (a) 38 (b) 36 (c) 37 (d) 39
  7. 7.What comes next? 10, 17, 15, 22, 20, 27, ? (a) 24 (b) 29 (c) 25 (d) 34
  8. 8.What comes next? 46, 39, 32, 25, 18, ? (a) 10 (b) 11 (c) 4 (d) 12
  9. 9.What comes next? 22, 29, 36, 43, 50, ? (a) 58 (b) 56 (c) 64 (d) 57
  10. 10.What comes next? 12, 18, 16, 22, 20, 26, ? (a) 32 (b) 24 (c) 23 (d) 28
  11. 11.What comes next? 7, 14, 21, 28, 35, ? (a) 41 (b) 49 (c) 42 (d) 43
  12. 12.What comes next? 57, 49, 41, 33, 25, ? (a) 18 (b) 17 (c) 9 (d) 16
  13. 13.What comes next? 49, 45, 41, 37, 33, ? (a) 30 (b) 28 (c) 29 (d) 25
  14. 14.What comes next? 10, 18, 26, 34, 42, ? (a) 49 (b) 50 (c) 51 (d) 58
  15. 15.What comes next? 39, 36, 33, 30, 27, ? (a) 25 (b) 23 (c) 24 (d) 21
  16. 16.What comes next? 27, 31, 35, 39, 43, ? (a) 48 (b) 46 (c) 51 (d) 47
  17. 17.What comes next? 44, 39, 34, 29, 24, ? (a) 18 (b) 20 (c) 19 (d) 14
  18. 18.What comes next? 13, 11, 9, 7, 5, ? (a) 1 (b) 4 (c) 3 (d) 2
  19. 19.What comes next? 13, 18, 17, 22, 21, 26, ? (a) 27 (b) 24 (c) 31 (d) 25
  20. 20.What comes next? 37, 30, 23, 16, 9, ? (a) 2 (b) 1 (c) 3 (d) 4
  21. 21.What comes next? 18, 15, 12, 9, 6, ? (a) 3 (b) 5 (c) 2 (d) 4
  22. 22.What comes next? 13, 22, 20, 29, 27, 36, ? (a) 38 (b) 45 (c) 33 (d) 34
  23. 23.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 40 (c) 24 (d) 32
  24. 24.What comes next? 19, 23, 21, 25, 23, 27, ? (a) 31 (b) 24 (c) 25 (d) 29
  25. 25.What comes next? 2, 5, 9, 14, 20, ? (a) 29 (b) 26 (c) 27 (d) 28
  26. 26.What comes next? 64, 57, 50, 43, 36, ? (a) 29 (b) 30 (c) 28 (d) 22
  27. 27.What comes next? 35, 32, 29, 26, 23, ? (a) 20 (b) 19 (c) 17 (d) 21
  28. 28.What comes next? 2, 9, 8, 15, 14, 21, ? (a) 22 (b) 19 (c) 20 (d) 28
  29. 29.What comes next? 24, 20, 16, 12, 8, ? (a) 4 (b) 6 (c) 3 (d) 5
  30. 30.What comes next? 19, 20, 22, 25, 29, ? (a) 35 (b) 34 (c) 36 (d) 33
  31. 31.What comes next? 28, 38, 48, 58, 68, ? (a) 77 (b) 88 (c) 78 (d) 79
  32. 32.What comes next? 49, 44, 39, 34, 29, ? (a) 19 (b) 24 (c) 25 (d) 23
  33. 33.What comes next? 11, 13, 16, 20, 25, ? (a) 30 (b) 32 (c) 33 (d) 31
  34. 34.What comes next? 5, 7, 9, 11, 13, ? (a) 16 (b) 15 (c) 14 (d) 17
  35. 35.What comes next? 3, 6, 10, 15, 21, ? (a) 28 (b) 30 (c) 29 (d) 27
  36. 36.What comes next? 19, 21, 24, 28, 33, ? (a) 39 (b) 40 (c) 41 (d) 38
  37. 37.What comes next? 1, 5, 10, 16, 23, ? (a) 32 (b) 30 (c) 33 (d) 31
  38. 38.What comes next? 20, 27, 34, 41, 48, ? (a) 55 (b) 62 (c) 56 (d) 54
  39. 39.What comes next? 7, 18, 29, 40, 51, ? (a) 63 (b) 73 (c) 62 (d) 61
  40. 40.What comes next? 17, 21, 19, 23, 21, 25, ? (a) 29 (b) 27 (c) 23 (d) 22

Answer key

  1. 40
  2. 81
  3. 24
  4. 1
  5. 39
  6. 37
  7. 25
  8. 11
  9. 57
  10. 24
  11. 42
  12. 17
  13. 29
  14. 50
  15. 24
  16. 47
  17. 19
  18. 3
  19. 25
  20. 2
  21. 3
  22. 34
  23. 32
  24. 25
  25. 27
  26. 29
  27. 20
  28. 20
  29. 4
  30. 34
  31. 78
  32. 24
  33. 31
  34. 15
  35. 28
  36. 39
  37. 31
  38. 55
  39. 62
  40. 23

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