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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 209 · 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? 16, 18, 21, 25, 30, ? (a) 38 (b) 35 (c) 37 (d) 36
  2. 2.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 90 (c) 180 (d) 162
  3. 3.What comes next? 4, 6, 9, 13, 18, ? (a) 25 (b) 23 (c) 24 (d) 26
  4. 4.What comes next? 5, 7, 10, 14, 19, ? (a) 25 (b) 24 (c) 26 (d) 27
  5. 5.What comes next? 55, 48, 41, 34, 27, ? (a) 13 (b) 19 (c) 21 (d) 20
  6. 6.What comes next? 59, 53, 47, 41, 35, ? (a) 28 (b) 23 (c) 30 (d) 29
  7. 7.What comes next? 3, 7, 11, 15, 19, ? (a) 24 (b) 22 (c) 27 (d) 23
  8. 8.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 96 (c) 160 (d) 128
  9. 9.What comes next? 46, 39, 32, 25, 18, ? (a) 10 (b) 11 (c) 4 (d) 12
  10. 10.What comes next? 4, 5, 7, 10, 14, ? (a) 18 (b) 20 (c) 21 (d) 19
  11. 11.What comes next? 3, 10, 5, 12, 7, 14, ? (a) 21 (b) 9 (c) 19 (d) 8
  12. 12.What comes next? 3, 11, 8, 16, 13, 21, ? (a) 18 (b) 17 (c) 29 (d) 24
  13. 13.What comes next? 26, 35, 44, 53, 62, ? (a) 70 (b) 72 (c) 71 (d) 80
  14. 14.What comes next? 43, 38, 33, 28, 23, ? (a) 18 (b) 19 (c) 17 (d) 13
  15. 15.What comes next? 17, 24, 18, 25, 19, 26, ? (a) 33 (b) 19 (c) 32 (d) 20
  16. 16.What comes next? 2, 10, 18, 26, 34, ? (a) 41 (b) 42 (c) 50 (d) 43
  17. 17.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 243 (c) 216 (d) 270
  18. 18.What comes next? 4, 7, 11, 16, 22, ? (a) 30 (b) 28 (c) 31 (d) 29
  19. 19.What comes next? 15, 19, 24, 30, 37, ? (a) 44 (b) 46 (c) 47 (d) 45
  20. 20.What comes next? 11, 20, 12, 21, 13, 22, ? (a) 14 (b) 13 (c) 30 (d) 31
  21. 21.What comes next? 17, 19, 21, 23, 25, ? (a) 26 (b) 28 (c) 27 (d) 29
  22. 22.What comes next? 33, 28, 23, 18, 13, ? (a) 9 (b) 8 (c) 7 (d) 3
  23. 23.What comes next? 6, 8, 11, 15, 20, ? (a) 27 (b) 25 (c) 28 (d) 26
  24. 24.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 65 (c) 80 (d) 64
  25. 25.What comes next? 20, 23, 27, 32, 38, ? (a) 45 (b) 46 (c) 44 (d) 47
  26. 26.What comes next? 7, 14, 21, 28, 35, ? (a) 42 (b) 49 (c) 41 (d) 43
  27. 27.What comes next? 62, 53, 44, 35, 26, ? (a) 16 (b) 17 (c) 8 (d) 18
  28. 28.What comes next? 5, 12, 10, 17, 15, 22, ? (a) 19 (b) 20 (c) 29 (d) 24
  29. 29.What comes next? 20, 32, 44, 56, 68, ? (a) 79 (b) 81 (c) 80 (d) 92
  30. 30.What comes next? 52, 46, 40, 34, 28, ? (a) 23 (b) 22 (c) 16 (d) 21
  31. 31.What comes next? 9, 12, 11, 14, 13, 16, ? (a) 17 (b) 14 (c) 15 (d) 19
  32. 32.What comes next? 6, 15, 14, 23, 22, 31, ? (a) 32 (b) 40 (c) 30 (d) 29
  33. 33.What comes next? 36, 30, 24, 18, 12, ? (a) 5 (b) 8 (c) 7 (d) 6
  34. 34.What comes next? 1, 4, 3, 6, 5, 8, ? (a) 11 (b) 7 (c) 6 (d) 9
  35. 35.What comes next? 51, 42, 33, 24, 15, ? (a) 5 (b) 6 (c) 8 (d) 7
  36. 36.What comes next? 20, 24, 22, 26, 24, 28, ? (a) 25 (b) 26 (c) 32 (d) 30
  37. 37.What comes next? 27, 32, 37, 42, 47, ? (a) 53 (b) 51 (c) 57 (d) 52
  38. 38.What comes next? 10, 22, 34, 46, 58, ? (a) 70 (b) 71 (c) 69 (d) 82
  39. 39.What comes next? 7, 11, 16, 22, 29, ? (a) 39 (b) 37 (c) 36 (d) 38
  40. 40.What comes next? 2, 3, 5, 8, 12, ? (a) 17 (b) 19 (c) 16 (d) 18

Answer key

  1. 36
  2. 162
  3. 24
  4. 25
  5. 20
  6. 29
  7. 23
  8. 128
  9. 11
  10. 19
  11. 9
  12. 18
  13. 71
  14. 18
  15. 20
  16. 42
  17. 243
  18. 29
  19. 45
  20. 14
  21. 27
  22. 8
  23. 26
  24. 64
  25. 45
  26. 42
  27. 17
  28. 20
  29. 80
  30. 22
  31. 15
  32. 30
  33. 6
  34. 7
  35. 6
  36. 26
  37. 52
  38. 70
  39. 37
  40. 17

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