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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 477 · 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, 18, 20, 23, 27, ? (a) 33 (b) 32 (c) 34 (d) 31
  2. 2.What comes next? 30, 27, 24, 21, 18, ? (a) 12 (b) 14 (c) 16 (d) 15
  3. 3.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 48 (c) 64 (d) 65
  4. 4.What comes next? 2, 8, 3, 9, 4, 10, ? (a) 5 (b) 4 (c) 15 (d) 16
  5. 5.What comes next? 58, 51, 44, 37, 30, ? (a) 24 (b) 16 (c) 22 (d) 23
  6. 6.What comes next? 28, 30, 32, 34, 36, ? (a) 37 (b) 38 (c) 39 (d) 40
  7. 7.What comes next? 5, 7, 10, 14, 19, ? (a) 24 (b) 27 (c) 26 (d) 25
  8. 8.What comes next? 18, 25, 20, 27, 22, 29, ? (a) 24 (b) 36 (c) 23 (d) 34
  9. 9.What comes next? 20, 29, 38, 47, 56, ? (a) 74 (b) 64 (c) 65 (d) 66
  10. 10.What comes next? 20, 27, 34, 41, 48, ? (a) 55 (b) 56 (c) 54 (d) 62
  11. 11.What comes next? 46, 37, 28, 19, 10, ? (a) 3 (b) 4 (c) 2 (d) 1
  12. 12.What comes next? 5, 8, 12, 17, 23, ? (a) 30 (b) 32 (c) 29 (d) 31
  13. 13.What comes next? 12, 13, 15, 18, 22, ? (a) 28 (b) 29 (c) 27 (d) 26
  14. 14.What comes next? 20, 28, 27, 35, 34, 42, ? (a) 40 (b) 50 (c) 43 (d) 41
  15. 15.What comes next? 9, 13, 10, 14, 11, 15, ? (a) 11 (b) 18 (c) 19 (d) 12
  16. 16.What comes next? 28, 36, 44, 52, 60, ? (a) 76 (b) 69 (c) 67 (d) 68
  17. 17.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 90 (c) 144 (d) 162
  18. 18.What comes next? 12, 18, 24, 30, 36, ? (a) 48 (b) 41 (c) 42 (d) 43
  19. 19.What comes next? 42, 37, 32, 27, 22, ? (a) 18 (b) 17 (c) 16 (d) 12
  20. 20.What comes next? 17, 21, 19, 23, 21, 25, ? (a) 29 (b) 23 (c) 27 (d) 22
  21. 21.What comes next? 22, 29, 36, 43, 50, ? (a) 56 (b) 57 (c) 64 (d) 58
  22. 22.What comes next? 1, 4, 8, 13, 19, ? (a) 27 (b) 28 (c) 25 (d) 26
  23. 23.What comes next? 2, 11, 7, 16, 12, 21, ? (a) 25 (b) 30 (c) 17 (d) 16
  24. 24.What comes next? 51, 43, 35, 27, 19, ? (a) 10 (b) 11 (c) 12 (d) 3
  25. 25.What comes next? 15, 21, 27, 33, 39, ? (a) 45 (b) 51 (c) 44 (d) 46
  26. 26.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 160 (c) 129 (d) 96
  27. 27.What comes next? 13, 21, 19, 27, 25, 33, ? (a) 30 (b) 41 (c) 35 (d) 31
  28. 28.What comes next? 27, 38, 49, 60, 71, ? (a) 83 (b) 93 (c) 82 (d) 81
  29. 29.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 33 (c) 40 (d) 24
  30. 30.What comes next? 47, 38, 29, 20, 11, ? (a) 4 (b) 1 (c) 2 (d) 3
  31. 31.What comes next? 14, 18, 15, 19, 16, 20, ? (a) 17 (b) 24 (c) 23 (d) 16
  32. 32.What comes next? 30, 26, 22, 18, 14, ? (a) 11 (b) 9 (c) 6 (d) 10
  33. 33.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 90 (c) 45 (d) 81
  34. 34.What comes next? 8, 15, 22, 29, 36, ? (a) 42 (b) 44 (c) 43 (d) 50
  35. 35.What comes next? 16, 20, 18, 22, 20, 24, ? (a) 21 (b) 22 (c) 28 (d) 26
  36. 36.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 96 (c) 72 (d) 120
  37. 37.What comes next? 10, 13, 16, 19, 22, ? (a) 25 (b) 26 (c) 24 (d) 28
  38. 38.What comes next? 12, 19, 16, 23, 20, 27, ? (a) 24 (b) 30 (c) 23 (d) 34
  39. 39.What comes next? 3, 6, 10, 15, 21, ? (a) 28 (b) 29 (c) 27 (d) 30
  40. 40.What comes next? 47, 40, 33, 26, 19, ? (a) 5 (b) 11 (c) 13 (d) 12

Answer key

  1. 32
  2. 15
  3. 64
  4. 5
  5. 23
  6. 38
  7. 25
  8. 24
  9. 65
  10. 55
  11. 1
  12. 30
  13. 27
  14. 41
  15. 12
  16. 68
  17. 162
  18. 42
  19. 17
  20. 23
  21. 57
  22. 26
  23. 17
  24. 11
  25. 45
  26. 128
  27. 31
  28. 82
  29. 32
  30. 2
  31. 17
  32. 10
  33. 81
  34. 43
  35. 22
  36. 96
  37. 25
  38. 24
  39. 28
  40. 12

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