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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 410 · 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, 29, 41, 53, 65, ? (a) 76 (b) 78 (c) 89 (d) 77
  2. 2.What comes next? 13, 16, 14, 17, 15, 18, ? (a) 20 (b) 16 (c) 15 (d) 21
  3. 3.What comes next? 16, 26, 36, 46, 56, ? (a) 76 (b) 66 (c) 67 (d) 65
  4. 4.What comes next? 12, 16, 21, 27, 34, ? (a) 42 (b) 41 (c) 43 (d) 44
  5. 5.What comes next? 7, 14, 21, 28, 35, ? (a) 42 (b) 41 (c) 49 (d) 43
  6. 6.What comes next? 1, 2, 4, 7, 11, ? (a) 16 (b) 15 (c) 17 (d) 18
  7. 7.What comes next? 11, 14, 12, 15, 13, 16, ? (a) 13 (b) 14 (c) 19 (d) 18
  8. 8.What comes next? 28, 31, 34, 37, 40, ? (a) 43 (b) 46 (c) 42 (d) 44
  9. 9.What comes next? 4, 12, 9, 17, 14, 22, ? (a) 18 (b) 30 (c) 19 (d) 25
  10. 10.What comes next? 10, 15, 20, 25, 30, ? (a) 36 (b) 35 (c) 40 (d) 34
  11. 11.What comes next? 7, 13, 19, 25, 31, ? (a) 36 (b) 38 (c) 37 (d) 43
  12. 12.What comes next? 25, 27, 29, 31, 33, ? (a) 36 (b) 34 (c) 37 (d) 35
  13. 13.What comes next? 37, 30, 23, 16, 9, ? (a) 1 (b) 2 (c) 4 (d) 3
  14. 14.What comes next? 44, 41, 38, 35, 32, ? (a) 30 (b) 28 (c) 26 (d) 29
  15. 15.What comes next? 6, 13, 20, 27, 34, ? (a) 48 (b) 40 (c) 41 (d) 42
  16. 16.What comes next? 7, 8, 10, 13, 17, ? (a) 23 (b) 21 (c) 22 (d) 24
  17. 17.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 180 (c) 162 (d) 144
  18. 18.What comes next? 53, 46, 39, 32, 25, ? (a) 11 (b) 19 (c) 18 (d) 17
  19. 19.What comes next? 59, 53, 47, 41, 35, ? (a) 28 (b) 30 (c) 23 (d) 29
  20. 20.What comes next? 5, 7, 10, 14, 19, ? (a) 27 (b) 26 (c) 24 (d) 25
  21. 21.What comes next? 48, 41, 34, 27, 20, ? (a) 12 (b) 14 (c) 13 (d) 6
  22. 22.What comes next? 19, 28, 37, 46, 55, ? (a) 73 (b) 64 (c) 63 (d) 65
  23. 23.What comes next? 18, 16, 14, 12, 10, ? (a) 8 (b) 6 (c) 7 (d) 9
  24. 24.What comes next? 17, 20, 24, 29, 35, ? (a) 42 (b) 43 (c) 44 (d) 41
  25. 25.What comes next? 6, 10, 15, 21, 28, ? (a) 35 (b) 37 (c) 36 (d) 38
  26. 26.What comes next? 18, 22, 21, 25, 24, 28, ? (a) 26 (b) 32 (c) 27 (d) 29
  27. 27.What comes next? 24, 31, 38, 45, 52, ? (a) 66 (b) 59 (c) 58 (d) 60
  28. 28.What comes next? 13, 17, 22, 28, 35, ? (a) 43 (b) 45 (c) 44 (d) 42
  29. 29.What comes next? 3, 9, 4, 10, 5, 11, ? (a) 16 (b) 6 (c) 17 (d) 5
  30. 30.What comes next? 11, 17, 12, 18, 13, 19, ? (a) 13 (b) 14 (c) 24 (d) 25
  31. 31.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 33 (c) 32 (d) 40
  32. 32.What comes next? 18, 20, 22, 24, 26, ? (a) 28 (b) 27 (c) 30 (d) 29
  33. 33.What comes next? 15, 20, 16, 21, 17, 22, ? (a) 27 (b) 17 (c) 26 (d) 18
  34. 34.What comes next? 17, 28, 39, 50, 61, ? (a) 72 (b) 71 (c) 73 (d) 83
  35. 35.What comes next? 58, 52, 46, 40, 34, ? (a) 28 (b) 29 (c) 27 (d) 22
  36. 36.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 90 (c) 72 (d) 45
  37. 37.What comes next? 17, 21, 19, 23, 21, 25, ? (a) 27 (b) 22 (c) 23 (d) 29
  38. 38.What comes next? 2, 11, 7, 16, 12, 21, ? (a) 17 (b) 30 (c) 16 (d) 25
  39. 39.What comes next? 12, 23, 34, 45, 56, ? (a) 67 (b) 78 (c) 66 (d) 68
  40. 40.What comes next? 17, 18, 20, 23, 27, ? (a) 34 (b) 33 (c) 32 (d) 31

Answer key

  1. 77
  2. 16
  3. 66
  4. 42
  5. 42
  6. 16
  7. 14
  8. 43
  9. 19
  10. 35
  11. 37
  12. 35
  13. 2
  14. 29
  15. 41
  16. 22
  17. 162
  18. 18
  19. 29
  20. 25
  21. 13
  22. 64
  23. 8
  24. 42
  25. 36
  26. 27
  27. 59
  28. 43
  29. 6
  30. 14
  31. 32
  32. 28
  33. 18
  34. 72
  35. 28
  36. 81
  37. 23
  38. 17
  39. 67
  40. 32

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