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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 610 · 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? 12, 20, 18, 26, 24, 32, ? (a) 30 (b) 40 (c) 34 (d) 29
  2. 2.What comes next? 16, 21, 19, 24, 22, 27, ? (a) 25 (b) 32 (c) 24 (d) 29
  3. 3.What comes next? 38, 31, 24, 17, 10, ? (a) 5 (b) 2 (c) 3 (d) 4
  4. 4.What comes next? 64, 56, 48, 40, 32, ? (a) 23 (b) 16 (c) 24 (d) 25
  5. 5.What comes next? 25, 31, 37, 43, 49, ? (a) 56 (b) 55 (c) 61 (d) 54
  6. 6.What comes next? 20, 23, 21, 24, 22, 25, ? (a) 22 (b) 28 (c) 23 (d) 27
  7. 7.What comes next? 6, 9, 12, 15, 18, ? (a) 21 (b) 20 (c) 24 (d) 22
  8. 8.What comes next? 4, 15, 26, 37, 48, ? (a) 59 (b) 58 (c) 70 (d) 60
  9. 9.What comes next? 9, 18, 13, 22, 17, 26, ? (a) 20 (b) 31 (c) 21 (d) 35
  10. 10.What comes next? 2, 7, 12, 17, 22, ? (a) 32 (b) 28 (c) 26 (d) 27
  11. 11.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 160 (c) 129 (d) 96
  12. 12.What comes next? 20, 24, 29, 35, 42, ? (a) 51 (b) 50 (c) 49 (d) 52
  13. 13.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 45 (c) 72 (d) 81
  14. 14.What comes next? 18, 21, 24, 27, 30, ? (a) 34 (b) 36 (c) 32 (d) 33
  15. 15.What comes next? 6, 8, 10, 12, 14, ? (a) 18 (b) 16 (c) 17 (d) 15
  16. 16.What comes next? 7, 9, 12, 16, 21, ? (a) 26 (b) 28 (c) 29 (d) 27
  17. 17.What comes next? 48, 44, 40, 36, 32, ? (a) 29 (b) 24 (c) 28 (d) 27
  18. 18.What comes next? 5, 8, 7, 10, 9, 12, ? (a) 15 (b) 10 (c) 13 (d) 11
  19. 19.What comes next? 19, 16, 13, 10, 7, ? (a) 3 (b) 1 (c) 5 (d) 4
  20. 20.What comes next? 5, 10, 15, 20, 25, ? (a) 31 (b) 29 (c) 35 (d) 30
  21. 21.What comes next? 11, 15, 20, 26, 33, ? (a) 42 (b) 43 (c) 41 (d) 40
  22. 22.What comes next? 1, 5, 2, 6, 3, 7, ? (a) 3 (b) 10 (c) 4 (d) 11
  23. 23.What comes next? 21, 31, 41, 51, 61, ? (a) 71 (b) 70 (c) 72 (d) 81
  24. 24.What comes next? 49, 40, 31, 22, 13, ? (a) 4 (b) 5 (c) 6 (d) 3
  25. 25.What comes next? 70, 61, 52, 43, 34, ? (a) 26 (b) 24 (c) 16 (d) 25
  26. 26.What comes next? 23, 27, 31, 35, 39, ? (a) 47 (b) 44 (c) 43 (d) 42
  27. 27.What comes next? 51, 42, 33, 24, 15, ? (a) 7 (b) 5 (c) 8 (d) 6
  28. 28.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 64 (c) 65 (d) 48
  29. 29.What comes next? 25, 27, 29, 31, 33, ? (a) 37 (b) 36 (c) 35 (d) 34
  30. 30.What comes next? 29, 25, 21, 17, 13, ? (a) 10 (b) 5 (c) 9 (d) 8
  31. 31.What comes next? 15, 17, 20, 24, 29, ? (a) 35 (b) 37 (c) 36 (d) 34
  32. 32.What comes next? 3, 4, 6, 9, 13, ? (a) 17 (b) 18 (c) 19 (d) 20
  33. 33.What comes next? 5, 7, 9, 11, 13, ? (a) 14 (b) 16 (c) 15 (d) 17
  34. 34.What comes next? 54, 49, 44, 39, 34, ? (a) 30 (b) 24 (c) 29 (d) 28
  35. 35.What comes next? 19, 31, 43, 55, 67, ? (a) 79 (b) 91 (c) 80 (d) 78
  36. 36.What comes next? 29, 40, 51, 62, 73, ? (a) 84 (b) 95 (c) 83 (d) 85
  37. 37.What comes next? 21, 17, 13, 9, 5, ? (a) 3 (b) 2 (c) 4 (d) 1
  38. 38.What comes next? 11, 15, 14, 18, 17, 21, ? (a) 22 (b) 25 (c) 19 (d) 20
  39. 39.What comes next? 39, 34, 29, 24, 19, ? (a) 14 (b) 9 (c) 15 (d) 13
  40. 40.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 24 (c) 40 (d) 32

Answer key

  1. 30
  2. 25
  3. 3
  4. 24
  5. 55
  6. 23
  7. 21
  8. 59
  9. 21
  10. 27
  11. 128
  12. 50
  13. 81
  14. 33
  15. 16
  16. 27
  17. 28
  18. 11
  19. 4
  20. 30
  21. 41
  22. 4
  23. 71
  24. 4
  25. 25
  26. 43
  27. 6
  28. 64
  29. 35
  30. 9
  31. 35
  32. 18
  33. 15
  34. 29
  35. 79
  36. 84
  37. 1
  38. 20
  39. 14
  40. 32

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