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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 60 · 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? 3, 7, 12, 18, 25, ? (a) 32 (b) 33 (c) 34 (d) 35
  2. 2.What comes next? 24, 32, 40, 48, 56, ? (a) 63 (b) 72 (c) 64 (d) 65
  3. 3.What comes next? 22, 31, 40, 49, 58, ? (a) 66 (b) 67 (c) 76 (d) 68
  4. 4.What comes next? 10, 20, 30, 40, 50, ? (a) 60 (b) 70 (c) 61 (d) 59
  5. 5.What comes next? 16, 14, 12, 10, 8, ? (a) 4 (b) 7 (c) 6 (d) 5
  6. 6.What comes next? 17, 15, 13, 11, 9, ? (a) 5 (b) 8 (c) 6 (d) 7
  7. 7.What comes next? 7, 19, 31, 43, 55, ? (a) 79 (b) 66 (c) 68 (d) 67
  8. 8.What comes next? 17, 27, 37, 47, 57, ? (a) 77 (b) 66 (c) 67 (d) 68
  9. 9.What comes next? 25, 30, 35, 40, 45, ? (a) 51 (b) 50 (c) 55 (d) 49
  10. 10.What comes next? 2, 10, 3, 11, 4, 12, ? (a) 20 (b) 19 (c) 4 (d) 5
  11. 11.What comes next? 16, 23, 19, 26, 22, 29, ? (a) 25 (b) 24 (c) 33 (d) 36
  12. 12.What comes next? 2, 6, 5, 9, 8, 12, ? (a) 11 (b) 16 (c) 10 (d) 13
  13. 13.What comes next? 20, 28, 36, 44, 52, ? (a) 68 (b) 59 (c) 60 (d) 61
  14. 14.What comes next? 15, 16, 18, 21, 25, ? (a) 30 (b) 32 (c) 31 (d) 29
  15. 15.What comes next? 14, 15, 17, 20, 24, ? (a) 28 (b) 31 (c) 29 (d) 30
  16. 16.What comes next? 71, 62, 53, 44, 35, ? (a) 25 (b) 27 (c) 17 (d) 26
  17. 17.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 64 (c) 48 (d) 65
  18. 18.What comes next? 23, 35, 47, 59, 71, ? (a) 84 (b) 82 (c) 95 (d) 83
  19. 19.What comes next? 5, 8, 12, 17, 23, ? (a) 29 (b) 30 (c) 31 (d) 32
  20. 20.What comes next? 12, 16, 14, 18, 16, 20, ? (a) 17 (b) 24 (c) 22 (d) 18
  21. 21.What comes next? 15, 23, 22, 30, 29, 37, ? (a) 38 (b) 45 (c) 36 (d) 35
  22. 22.What comes next? 14, 17, 21, 26, 32, ? (a) 38 (b) 39 (c) 40 (d) 41
  23. 23.What comes next? 27, 24, 21, 18, 15, ? (a) 11 (b) 12 (c) 13 (d) 9
  24. 24.What comes next? 16, 22, 28, 34, 40, ? (a) 52 (b) 46 (c) 45 (d) 47
  25. 25.What comes next? 15, 17, 20, 24, 29, ? (a) 37 (b) 34 (c) 36 (d) 35
  26. 26.What comes next? 47, 42, 37, 32, 27, ? (a) 21 (b) 23 (c) 22 (d) 17
  27. 27.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 45 (c) 90 (d) 81
  28. 28.What comes next? 14, 21, 28, 35, 42, ? (a) 48 (b) 49 (c) 56 (d) 50
  29. 29.What comes next? 20, 24, 29, 35, 42, ? (a) 49 (b) 52 (c) 51 (d) 50
  30. 30.What comes next? 57, 50, 43, 36, 29, ? (a) 21 (b) 15 (c) 22 (d) 23
  31. 31.What comes next? 8, 12, 9, 13, 10, 14, ? (a) 10 (b) 17 (c) 11 (d) 18
  32. 32.What comes next? 31, 27, 23, 19, 15, ? (a) 7 (b) 11 (c) 10 (d) 12
  33. 33.What comes next? 4, 11, 18, 25, 32, ? (a) 46 (b) 40 (c) 38 (d) 39
  34. 34.What comes next? 18, 21, 19, 22, 20, 23, ? (a) 21 (b) 26 (c) 25 (d) 20
  35. 35.What comes next? 36, 33, 30, 27, 24, ? (a) 20 (b) 18 (c) 21 (d) 22
  36. 36.What comes next? 26, 34, 42, 50, 58, ? (a) 74 (b) 67 (c) 65 (d) 66
  37. 37.What comes next? 12, 16, 21, 27, 34, ? (a) 44 (b) 43 (c) 42 (d) 41
  38. 38.What comes next? 1, 9, 3, 11, 5, 13, ? (a) 6 (b) 21 (c) 7 (d) 19
  39. 39.What comes next? 18, 22, 19, 23, 20, 24, ? (a) 20 (b) 27 (c) 28 (d) 21
  40. 40.What comes next? 6, 12, 8, 14, 10, 16, ? (a) 11 (b) 22 (c) 12 (d) 20

Answer key

  1. 33
  2. 64
  3. 67
  4. 60
  5. 6
  6. 7
  7. 67
  8. 67
  9. 50
  10. 5
  11. 25
  12. 11
  13. 60
  14. 30
  15. 29
  16. 26
  17. 64
  18. 83
  19. 30
  20. 18
  21. 36
  22. 39
  23. 12
  24. 46
  25. 35
  26. 22
  27. 81
  28. 49
  29. 50
  30. 22
  31. 11
  32. 11
  33. 39
  34. 21
  35. 21
  36. 66
  37. 42
  38. 7
  39. 21
  40. 12

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