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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 422 · 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? 3, 6, 12, 24, 48, ? (a) 97 (b) 72 (c) 96 (d) 120
  2. 2.What comes next? 56, 50, 44, 38, 32, ? (a) 25 (b) 26 (c) 27 (d) 20
  3. 3.What comes next? 4, 13, 7, 16, 10, 19, ? (a) 13 (b) 12 (c) 28 (d) 25
  4. 4.What comes next? 27, 24, 21, 18, 15, ? (a) 11 (b) 9 (c) 13 (d) 12
  5. 5.What comes next? 12, 20, 14, 22, 16, 24, ? (a) 32 (b) 18 (c) 30 (d) 17
  6. 6.What comes next? 29, 24, 19, 14, 9, ? (a) 4 (b) 6 (c) 3 (d) 5
  7. 7.What comes next? 2, 5, 9, 14, 20, ? (a) 27 (b) 26 (c) 28 (d) 29
  8. 8.What comes next? 7, 11, 15, 19, 23, ? (a) 27 (b) 26 (c) 28 (d) 31
  9. 9.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 144 (c) 192 (d) 193
  10. 10.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 243 (c) 270 (d) 135
  11. 11.What comes next? 9, 19, 29, 39, 49, ? (a) 59 (b) 58 (c) 69 (d) 60
  12. 12.What comes next? 26, 32, 38, 44, 50, ? (a) 57 (b) 56 (c) 55 (d) 62
  13. 13.What comes next? 2, 6, 11, 17, 24, ? (a) 33 (b) 31 (c) 34 (d) 32
  14. 14.What comes next? 39, 33, 27, 21, 15, ? (a) 10 (b) 3 (c) 8 (d) 9
  15. 15.What comes next? 24, 32, 40, 48, 56, ? (a) 65 (b) 64 (c) 72 (d) 63
  16. 16.What comes next? 35, 32, 29, 26, 23, ? (a) 21 (b) 17 (c) 19 (d) 20
  17. 17.What comes next? 15, 24, 20, 29, 25, 34, ? (a) 29 (b) 38 (c) 30 (d) 43
  18. 18.What comes next? 7, 12, 8, 13, 9, 14, ? (a) 18 (b) 10 (c) 19 (d) 9
  19. 19.What comes next? 7, 16, 8, 17, 9, 18, ? (a) 27 (b) 26 (c) 9 (d) 10
  20. 20.What comes next? 64, 56, 48, 40, 32, ? (a) 25 (b) 23 (c) 16 (d) 24
  21. 21.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 45 (c) 81 (d) 72
  22. 22.What comes next? 8, 11, 14, 17, 20, ? (a) 22 (b) 24 (c) 26 (d) 23
  23. 23.What comes next? 9, 12, 10, 13, 11, 14, ? (a) 17 (b) 12 (c) 11 (d) 16
  24. 24.What comes next? 14, 22, 18, 26, 22, 30, ? (a) 38 (b) 25 (c) 26 (d) 34
  25. 25.What comes next? 44, 37, 30, 23, 16, ? (a) 8 (b) 10 (c) 2 (d) 9
  26. 26.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 160 (c) 200 (d) 161
  27. 27.What comes next? 16, 22, 21, 27, 26, 32, ? (a) 33 (b) 30 (c) 31 (d) 38
  28. 28.What comes next? 17, 27, 37, 47, 57, ? (a) 68 (b) 77 (c) 66 (d) 67
  29. 29.What comes next? 11, 14, 12, 15, 13, 16, ? (a) 14 (b) 13 (c) 19 (d) 18
  30. 30.What comes next? 4, 7, 10, 13, 16, ? (a) 20 (b) 22 (c) 19 (d) 18
  31. 31.What comes next? 14, 15, 17, 20, 24, ? (a) 28 (b) 31 (c) 30 (d) 29
  32. 32.What comes next? 19, 21, 24, 28, 33, ? (a) 40 (b) 41 (c) 38 (d) 39
  33. 33.What comes next? 28, 23, 18, 13, 8, ? (a) 2 (b) 5 (c) 4 (d) 3
  34. 34.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 33 (c) 32 (d) 40
  35. 35.What comes next? 19, 31, 43, 55, 67, ? (a) 91 (b) 79 (c) 78 (d) 80
  36. 36.What comes next? 6, 10, 9, 13, 12, 16, ? (a) 17 (b) 20 (c) 15 (d) 14
  37. 37.What comes next? 28, 30, 32, 34, 36, ? (a) 39 (b) 37 (c) 40 (d) 38
  38. 38.What comes next? 51, 43, 35, 27, 19, ? (a) 10 (b) 3 (c) 12 (d) 11
  39. 39.What comes next? 16, 19, 17, 20, 18, 21, ? (a) 19 (b) 23 (c) 18 (d) 24
  40. 40.What comes next? 60, 52, 44, 36, 28, ? (a) 12 (b) 20 (c) 21 (d) 19

Answer key

  1. 96
  2. 26
  3. 13
  4. 12
  5. 18
  6. 4
  7. 27
  8. 27
  9. 192
  10. 243
  11. 59
  12. 56
  13. 32
  14. 9
  15. 64
  16. 20
  17. 30
  18. 10
  19. 10
  20. 24
  21. 81
  22. 23
  23. 12
  24. 26
  25. 9
  26. 160
  27. 31
  28. 67
  29. 14
  30. 19
  31. 29
  32. 39
  33. 3
  34. 32
  35. 79
  36. 15
  37. 38
  38. 11
  39. 19
  40. 20

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