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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 672 · 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, 18, 17, 20, 19, 22, ? (a) 20 (b) 21 (c) 25 (d) 23
  2. 2.What comes next? 12, 16, 14, 18, 16, 20, ? (a) 17 (b) 18 (c) 24 (d) 22
  3. 3.What comes next? 10, 13, 11, 14, 12, 15, ? (a) 12 (b) 13 (c) 17 (d) 18
  4. 4.What comes next? 9, 17, 16, 24, 23, 31, ? (a) 39 (b) 29 (c) 32 (d) 30
  5. 5.What comes next? 21, 27, 33, 39, 45, ? (a) 57 (b) 52 (c) 50 (d) 51
  6. 6.What comes next? 1, 5, 10, 16, 23, ? (a) 32 (b) 33 (c) 31 (d) 30
  7. 7.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 81 (d) 72
  8. 8.What comes next? 1, 6, 5, 10, 9, 14, ? (a) 12 (b) 13 (c) 19 (d) 15
  9. 9.What comes next? 44, 40, 36, 32, 28, ? (a) 25 (b) 24 (c) 20 (d) 23
  10. 10.What comes next? 38, 32, 26, 20, 14, ? (a) 2 (b) 7 (c) 8 (d) 9
  11. 11.What comes next? 17, 20, 24, 29, 35, ? (a) 44 (b) 41 (c) 42 (d) 43
  12. 12.What comes next? 52, 47, 42, 37, 32, ? (a) 27 (b) 28 (c) 26 (d) 22
  13. 13.What comes next? 8, 9, 11, 14, 18, ? (a) 22 (b) 23 (c) 25 (d) 24
  14. 14.What comes next? 18, 21, 19, 22, 20, 23, ? (a) 20 (b) 21 (c) 25 (d) 26
  15. 15.What comes next? 12, 15, 14, 17, 16, 19, ? (a) 17 (b) 20 (c) 22 (d) 18
  16. 16.What comes next? 15, 17, 20, 24, 29, ? (a) 37 (b) 35 (c) 36 (d) 34
  17. 17.What comes next? 44, 37, 30, 23, 16, ? (a) 9 (b) 10 (c) 8 (d) 2
  18. 18.What comes next? 21, 29, 37, 45, 53, ? (a) 69 (b) 60 (c) 62 (d) 61
  19. 19.What comes next? 18, 20, 23, 27, 32, ? (a) 40 (b) 38 (c) 37 (d) 39
  20. 20.What comes next? 8, 18, 28, 38, 48, ? (a) 59 (b) 68 (c) 57 (d) 58
  21. 21.What comes next? 27, 23, 19, 15, 11, ? (a) 6 (b) 8 (c) 7 (d) 3
  22. 22.What comes next? 5, 15, 25, 35, 45, ? (a) 54 (b) 65 (c) 56 (d) 55
  23. 23.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 128 (c) 129 (d) 160
  24. 24.What comes next? 11, 20, 13, 22, 15, 24, ? (a) 33 (b) 17 (c) 31 (d) 16
  25. 25.What comes next? 46, 40, 34, 28, 22, ? (a) 15 (b) 17 (c) 16 (d) 10
  26. 26.What comes next? 16, 13, 10, 7, 4, ? (a) 1 (b) 2 (c) 4 (d) 3
  27. 27.What comes next? 38, 36, 34, 32, 30, ? (a) 29 (b) 28 (c) 27 (d) 26
  28. 28.What comes next? 13, 17, 22, 28, 35, ? (a) 42 (b) 45 (c) 44 (d) 43
  29. 29.What comes next? 14, 23, 21, 30, 28, 37, ? (a) 35 (b) 46 (c) 39 (d) 34
  30. 30.What comes next? 7, 8, 10, 13, 17, ? (a) 23 (b) 24 (c) 22 (d) 21
  31. 31.What comes next? 15, 27, 39, 51, 63, ? (a) 75 (b) 74 (c) 76 (d) 87
  32. 32.What comes next? 18, 25, 32, 39, 46, ? (a) 60 (b) 52 (c) 54 (d) 53
  33. 33.What comes next? 5, 12, 7, 14, 9, 16, ? (a) 10 (b) 11 (c) 23 (d) 21
  34. 34.What comes next? 8, 12, 17, 23, 30, ? (a) 37 (b) 40 (c) 38 (d) 39
  35. 35.What comes next? 23, 30, 37, 44, 51, ? (a) 59 (b) 65 (c) 57 (d) 58
  36. 36.What comes next? 9, 12, 16, 21, 27, ? (a) 34 (b) 35 (c) 33 (d) 36
  37. 37.What comes next? 4, 7, 11, 16, 22, ? (a) 30 (b) 29 (c) 28 (d) 31
  38. 38.What comes next? 8, 11, 15, 20, 26, ? (a) 34 (b) 35 (c) 32 (d) 33
  39. 39.What comes next? 21, 17, 13, 9, 5, ? (a) 4 (b) 3 (c) 1 (d) 2
  40. 40.What comes next? 13, 20, 18, 25, 23, 30, ? (a) 32 (b) 27 (c) 28 (d) 37

Answer key

  1. 21
  2. 18
  3. 13
  4. 30
  5. 51
  6. 31
  7. 81
  8. 13
  9. 24
  10. 8
  11. 42
  12. 27
  13. 23
  14. 21
  15. 18
  16. 35
  17. 9
  18. 61
  19. 38
  20. 58
  21. 7
  22. 55
  23. 128
  24. 17
  25. 16
  26. 1
  27. 28
  28. 43
  29. 35
  30. 22
  31. 75
  32. 53
  33. 11
  34. 38
  35. 58
  36. 34
  37. 29
  38. 33
  39. 1
  40. 28

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