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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 270 · 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? 27, 24, 21, 18, 15, ? (a) 12 (b) 11 (c) 9 (d) 13
  2. 2.What comes next? 19, 22, 20, 23, 21, 24, ? (a) 27 (b) 21 (c) 26 (d) 22
  3. 3.What comes next? 20, 24, 28, 32, 36, ? (a) 40 (b) 41 (c) 44 (d) 39
  4. 4.What comes next? 10, 14, 11, 15, 12, 16, ? (a) 12 (b) 20 (c) 19 (d) 13
  5. 5.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 144 (c) 162 (d) 180
  6. 6.What comes next? 42, 34, 26, 18, 10, ? (a) 1 (b) 3 (c) 4 (d) 2
  7. 7.What comes next? 8, 16, 13, 21, 18, 26, ? (a) 34 (b) 22 (c) 29 (d) 23
  8. 8.What comes next? 10, 13, 11, 14, 12, 15, ? (a) 12 (b) 18 (c) 17 (d) 13
  9. 9.What comes next? 2, 5, 8, 11, 14, ? (a) 20 (b) 17 (c) 18 (d) 16
  10. 10.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 45 (c) 90 (d) 72
  11. 11.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 48 (c) 80 (d) 64
  12. 12.What comes next? 21, 25, 29, 33, 37, ? (a) 45 (b) 42 (c) 41 (d) 40
  13. 13.What comes next? 12, 21, 16, 25, 20, 29, ? (a) 24 (b) 34 (c) 23 (d) 38
  14. 14.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 216 (c) 135 (d) 243
  15. 15.What comes next? 46, 39, 32, 25, 18, ? (a) 12 (b) 10 (c) 11 (d) 4
  16. 16.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 72 (c) 120 (d) 96
  17. 17.What comes next? 28, 30, 32, 34, 36, ? (a) 38 (b) 39 (c) 40 (d) 37
  18. 18.What comes next? 14, 18, 22, 26, 30, ? (a) 33 (b) 34 (c) 35 (d) 38
  19. 19.What comes next? 31, 27, 23, 19, 15, ? (a) 12 (b) 7 (c) 11 (d) 10
  20. 20.What comes next? 25, 34, 43, 52, 61, ? (a) 71 (b) 69 (c) 79 (d) 70
  21. 21.What comes next? 25, 32, 39, 46, 53, ? (a) 59 (b) 60 (c) 67 (d) 61
  22. 22.What comes next? 15, 21, 20, 26, 25, 31, ? (a) 32 (b) 29 (c) 37 (d) 30
  23. 23.What comes next? 34, 29, 24, 19, 14, ? (a) 9 (b) 8 (c) 4 (d) 10
  24. 24.What comes next? 41, 33, 25, 17, 9, ? (a) 2 (b) 1 (c) 4 (d) 3
  25. 25.What comes next? 23, 29, 35, 41, 47, ? (a) 59 (b) 54 (c) 52 (d) 53
  26. 26.What comes next? 35, 30, 25, 20, 15, ? (a) 9 (b) 5 (c) 10 (d) 11
  27. 27.What comes next? 16, 18, 20, 22, 24, ? (a) 26 (b) 27 (c) 28 (d) 25
  28. 28.What comes next? 49, 42, 35, 28, 21, ? (a) 7 (b) 14 (c) 15 (d) 13
  29. 29.What comes next? 13, 21, 29, 37, 45, ? (a) 54 (b) 53 (c) 52 (d) 61
  30. 30.What comes next? 20, 29, 22, 31, 24, 33, ? (a) 42 (b) 26 (c) 40 (d) 25
  31. 31.What comes next? 3, 11, 19, 27, 35, ? (a) 43 (b) 51 (c) 42 (d) 44
  32. 32.What comes next? 9, 13, 18, 24, 31, ? (a) 38 (b) 41 (c) 40 (d) 39
  33. 33.What comes next? 38, 34, 30, 26, 22, ? (a) 19 (b) 17 (c) 18 (d) 14
  34. 34.What comes next? 19, 28, 22, 31, 25, 34, ? (a) 40 (b) 27 (c) 28 (d) 43
  35. 35.What comes next? 48, 44, 40, 36, 32, ? (a) 29 (b) 27 (c) 28 (d) 24
  36. 36.What comes next? 8, 11, 15, 20, 26, ? (a) 35 (b) 34 (c) 32 (d) 33
  37. 37.What comes next? 16, 17, 19, 22, 26, ? (a) 32 (b) 30 (c) 33 (d) 31
  38. 38.What comes next? 28, 23, 18, 13, 8, ? (a) 4 (b) 3 (c) 5 (d) 2
  39. 39.What comes next? 19, 25, 31, 37, 43, ? (a) 49 (b) 55 (c) 48 (d) 50
  40. 40.What comes next? 11, 20, 29, 38, 47, ? (a) 55 (b) 56 (c) 65 (d) 57

Answer key

  1. 12
  2. 22
  3. 40
  4. 13
  5. 162
  6. 2
  7. 23
  8. 13
  9. 17
  10. 81
  11. 64
  12. 41
  13. 24
  14. 243
  15. 11
  16. 96
  17. 38
  18. 34
  19. 11
  20. 70
  21. 60
  22. 30
  23. 9
  24. 1
  25. 53
  26. 10
  27. 26
  28. 14
  29. 53
  30. 26
  31. 43
  32. 39
  33. 18
  34. 28
  35. 28
  36. 33
  37. 31
  38. 3
  39. 49
  40. 56

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