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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 446 · 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? 7, 9, 12, 16, 21, ? (a) 28 (b) 27 (c) 29 (d) 26
  2. 2.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 97 (c) 120 (d) 72
  3. 3.What comes next? 24, 26, 28, 30, 32, ? (a) 33 (b) 35 (c) 36 (d) 34
  4. 4.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 270 (c) 216 (d) 243
  5. 5.What comes next? 6, 14, 8, 16, 10, 18, ? (a) 24 (b) 11 (c) 26 (d) 12
  6. 6.What comes next? 26, 24, 22, 20, 18, ? (a) 15 (b) 14 (c) 16 (d) 17
  7. 7.What comes next? 23, 32, 41, 50, 59, ? (a) 68 (b) 67 (c) 69 (d) 77
  8. 8.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 32 (c) 33 (d) 40
  9. 9.What comes next? 63, 56, 49, 42, 35, ? (a) 27 (b) 21 (c) 28 (d) 29
  10. 10.What comes next? 29, 25, 21, 17, 13, ? (a) 10 (b) 5 (c) 9 (d) 8
  11. 11.What comes next? 55, 49, 43, 37, 31, ? (a) 19 (b) 26 (c) 24 (d) 25
  12. 12.What comes next? 20, 23, 26, 29, 32, ? (a) 36 (b) 34 (c) 38 (d) 35
  13. 13.What comes next? 4, 7, 11, 16, 22, ? (a) 29 (b) 28 (c) 31 (d) 30
  14. 14.What comes next? 10, 13, 11, 14, 12, 15, ? (a) 17 (b) 13 (c) 12 (d) 18
  15. 15.What comes next? 53, 46, 39, 32, 25, ? (a) 17 (b) 11 (c) 18 (d) 19
  16. 16.What comes next? 7, 11, 8, 12, 9, 13, ? (a) 16 (b) 10 (c) 17 (d) 9
  17. 17.What comes next? 3, 4, 6, 9, 13, ? (a) 20 (b) 18 (c) 19 (d) 17
  18. 18.What comes next? 12, 18, 24, 30, 36, ? (a) 48 (b) 41 (c) 43 (d) 42
  19. 19.What comes next? 58, 51, 44, 37, 30, ? (a) 16 (b) 23 (c) 24 (d) 22
  20. 20.What comes next? 27, 32, 37, 42, 47, ? (a) 57 (b) 53 (c) 52 (d) 51
  21. 21.What comes next? 30, 40, 50, 60, 70, ? (a) 80 (b) 81 (c) 79 (d) 90
  22. 22.What comes next? 45, 38, 31, 24, 17, ? (a) 11 (b) 10 (c) 3 (d) 9
  23. 23.What comes next? 16, 17, 19, 22, 26, ? (a) 30 (b) 31 (c) 33 (d) 32
  24. 24.What comes next? 29, 33, 37, 41, 45, ? (a) 49 (b) 53 (c) 50 (d) 48
  25. 25.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 129 (c) 160 (d) 128
  26. 26.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 48 (c) 64 (d) 80
  27. 27.What comes next? 4, 7, 5, 8, 6, 9, ? (a) 7 (b) 11 (c) 12 (d) 6
  28. 28.What comes next? 3, 10, 17, 24, 31, ? (a) 39 (b) 45 (c) 37 (d) 38
  29. 29.What comes next? 2, 3, 5, 8, 12, ? (a) 19 (b) 16 (c) 18 (d) 17
  30. 30.What comes next? 4, 7, 10, 13, 16, ? (a) 22 (b) 18 (c) 19 (d) 20
  31. 31.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 162 (c) 90 (d) 180
  32. 32.What comes next? 60, 54, 48, 42, 36, ? (a) 24 (b) 30 (c) 29 (d) 31
  33. 33.What comes next? 11, 12, 14, 17, 21, ? (a) 26 (b) 28 (c) 25 (d) 27
  34. 34.What comes next? 19, 26, 20, 27, 21, 28, ? (a) 22 (b) 21 (c) 35 (d) 34
  35. 35.What comes next? 67, 59, 51, 43, 35, ? (a) 26 (b) 27 (c) 19 (d) 28
  36. 36.What comes next? 12, 10, 8, 6, 4, ? (a) 3 (b) 2 (c) 1 (d) 4
  37. 37.What comes next? 3, 7, 6, 10, 9, 13, ? (a) 14 (b) 12 (c) 11 (d) 17
  38. 38.What comes next? 56, 49, 42, 35, 28, ? (a) 21 (b) 20 (c) 22 (d) 14
  39. 39.What comes next? 21, 33, 45, 57, 69, ? (a) 82 (b) 80 (c) 93 (d) 81
  40. 40.What comes next? 3, 10, 9, 16, 15, 22, ? (a) 23 (b) 21 (c) 20 (d) 29

Answer key

  1. 27
  2. 96
  3. 34
  4. 243
  5. 12
  6. 16
  7. 68
  8. 32
  9. 28
  10. 9
  11. 25
  12. 35
  13. 29
  14. 13
  15. 18
  16. 10
  17. 18
  18. 42
  19. 23
  20. 52
  21. 80
  22. 10
  23. 31
  24. 49
  25. 128
  26. 64
  27. 7
  28. 38
  29. 17
  30. 19
  31. 162
  32. 30
  33. 26
  34. 22
  35. 27
  36. 2
  37. 12
  38. 21
  39. 81
  40. 21

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