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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 112 · 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? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 81 (d) 72
  2. 2.What comes next? 15, 19, 24, 30, 37, ? (a) 45 (b) 44 (c) 47 (d) 46
  3. 3.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 160 (c) 161 (d) 120
  4. 4.What comes next? 1, 2, 4, 7, 11, ? (a) 15 (b) 17 (c) 18 (d) 16
  5. 5.What comes next? 20, 28, 36, 44, 52, ? (a) 61 (b) 68 (c) 60 (d) 59
  6. 6.What comes next? 55, 50, 45, 40, 35, ? (a) 31 (b) 30 (c) 29 (d) 25
  7. 7.What comes next? 2, 4, 7, 11, 16, ? (a) 21 (b) 22 (c) 24 (d) 23
  8. 8.What comes next? 49, 43, 37, 31, 25, ? (a) 18 (b) 20 (c) 13 (d) 19
  9. 9.What comes next? 4, 11, 6, 13, 8, 15, ? (a) 22 (b) 10 (c) 9 (d) 20
  10. 10.What comes next? 19, 21, 23, 25, 27, ? (a) 28 (b) 31 (c) 30 (d) 29
  11. 11.What comes next? 17, 20, 24, 29, 35, ? (a) 42 (b) 43 (c) 41 (d) 44
  12. 12.What comes next? 10, 16, 14, 20, 18, 24, ? (a) 30 (b) 21 (c) 26 (d) 22
  13. 13.What comes next? 19, 16, 13, 10, 7, ? (a) 5 (b) 1 (c) 4 (d) 3
  14. 14.What comes next? 24, 30, 36, 42, 48, ? (a) 54 (b) 60 (c) 55 (d) 53
  15. 15.What comes next? 31, 28, 25, 22, 19, ? (a) 15 (b) 13 (c) 17 (d) 16
  16. 16.What comes next? 18, 30, 42, 54, 66, ? (a) 90 (b) 77 (c) 79 (d) 78
  17. 17.What comes next? 32, 27, 22, 17, 12, ? (a) 6 (b) 7 (c) 2 (d) 8
  18. 18.What comes next? 27, 32, 37, 42, 47, ? (a) 53 (b) 52 (c) 51 (d) 57
  19. 19.What comes next? 12, 19, 26, 33, 40, ? (a) 46 (b) 54 (c) 48 (d) 47
  20. 20.What comes next? 6, 9, 7, 10, 8, 11, ? (a) 13 (b) 14 (c) 9 (d) 8
  21. 21.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 135 (c) 270 (d) 243
  22. 22.What comes next? 18, 22, 27, 33, 40, ? (a) 48 (b) 47 (c) 50 (d) 49
  23. 23.What comes next? 13, 21, 14, 22, 15, 23, ? (a) 30 (b) 31 (c) 16 (d) 15
  24. 24.What comes next? 4, 6, 8, 10, 12, ? (a) 16 (b) 15 (c) 13 (d) 14
  25. 25.What comes next? 9, 15, 21, 27, 33, ? (a) 38 (b) 45 (c) 39 (d) 40
  26. 26.What comes next? 11, 17, 15, 21, 19, 25, ? (a) 23 (b) 31 (c) 22 (d) 27
  27. 27.What comes next? 8, 13, 11, 16, 14, 19, ? (a) 17 (b) 24 (c) 16 (d) 21
  28. 28.What comes next? 7, 10, 14, 19, 25, ? (a) 33 (b) 34 (c) 32 (d) 31
  29. 29.What comes next? 20, 23, 27, 32, 38, ? (a) 45 (b) 44 (c) 46 (d) 47
  30. 30.What comes next? 12, 15, 19, 24, 30, ? (a) 38 (b) 37 (c) 39 (d) 36
  31. 31.What comes next? 5, 9, 13, 17, 21, ? (a) 29 (b) 26 (c) 24 (d) 25
  32. 32.What comes next? 62, 55, 48, 41, 34, ? (a) 26 (b) 27 (c) 20 (d) 28
  33. 33.What comes next? 9, 11, 14, 18, 23, ? (a) 30 (b) 29 (c) 31 (d) 28
  34. 34.What comes next? 39, 33, 27, 21, 15, ? (a) 3 (b) 10 (c) 9 (d) 8
  35. 35.What comes next? 2, 13, 24, 35, 46, ? (a) 68 (b) 57 (c) 56 (d) 58
  36. 36.What comes next? 13, 14, 16, 19, 23, ? (a) 28 (b) 30 (c) 29 (d) 27
  37. 37.What comes next? 35, 31, 27, 23, 19, ? (a) 16 (b) 14 (c) 15 (d) 11
  38. 38.What comes next? 8, 10, 12, 14, 16, ? (a) 20 (b) 17 (c) 18 (d) 19
  39. 39.What comes next? 53, 45, 37, 29, 21, ? (a) 14 (b) 5 (c) 12 (d) 13
  40. 40.What comes next? 10, 13, 16, 19, 22, ? (a) 25 (b) 28 (c) 26 (d) 24

Answer key

  1. 81
  2. 45
  3. 160
  4. 16
  5. 60
  6. 30
  7. 22
  8. 19
  9. 10
  10. 29
  11. 42
  12. 22
  13. 4
  14. 54
  15. 16
  16. 78
  17. 7
  18. 52
  19. 47
  20. 9
  21. 243
  22. 48
  23. 16
  24. 14
  25. 39
  26. 23
  27. 17
  28. 32
  29. 45
  30. 37
  31. 25
  32. 27
  33. 29
  34. 9
  35. 57
  36. 28
  37. 15
  38. 18
  39. 13
  40. 25

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