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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 583 · 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? 38, 32, 26, 20, 14, ? (a) 9 (b) 7 (c) 8 (d) 2
  2. 2.What comes next? 6, 9, 13, 18, 24, ? (a) 31 (b) 32 (c) 33 (d) 30
  3. 3.What comes next? 3, 12, 6, 15, 9, 18, ? (a) 11 (b) 12 (c) 27 (d) 24
  4. 4.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 72 (c) 120 (d) 96
  5. 5.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 135 (c) 243 (d) 216
  6. 6.What comes next? 25, 21, 17, 13, 9, ? (a) 1 (b) 4 (c) 6 (d) 5
  7. 7.What comes next? 8, 11, 9, 12, 10, 13, ? (a) 15 (b) 16 (c) 11 (d) 10
  8. 8.What comes next? 14, 24, 34, 44, 54, ? (a) 65 (b) 63 (c) 74 (d) 64
  9. 9.What comes next? 5, 8, 6, 9, 7, 10, ? (a) 12 (b) 8 (c) 13 (d) 7
  10. 10.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 128 (c) 96 (d) 129
  11. 11.What comes next? 4, 9, 8, 13, 12, 17, ? (a) 22 (b) 15 (c) 18 (d) 16
  12. 12.What comes next? 58, 49, 40, 31, 22, ? (a) 12 (b) 14 (c) 13 (d) 4
  13. 13.What comes next? 37, 31, 25, 19, 13, ? (a) 8 (b) 1 (c) 7 (d) 6
  14. 14.What comes next? 18, 22, 19, 23, 20, 24, ? (a) 27 (b) 28 (c) 20 (d) 21
  15. 15.What comes next? 6, 13, 20, 27, 34, ? (a) 42 (b) 40 (c) 48 (d) 41
  16. 16.What comes next? 64, 57, 50, 43, 36, ? (a) 22 (b) 30 (c) 29 (d) 28
  17. 17.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 72 (c) 81 (d) 90
  18. 18.What comes next? 14, 15, 17, 20, 24, ? (a) 31 (b) 28 (c) 29 (d) 30
  19. 19.What comes next? 16, 22, 20, 26, 24, 30, ? (a) 36 (b) 27 (c) 32 (d) 28
  20. 20.What comes next? 11, 16, 21, 26, 31, ? (a) 41 (b) 35 (c) 37 (d) 36
  21. 21.What comes next? 19, 31, 43, 55, 67, ? (a) 91 (b) 80 (c) 78 (d) 79
  22. 22.What comes next? 18, 25, 20, 27, 22, 29, ? (a) 34 (b) 23 (c) 24 (d) 36
  23. 23.What comes next? 2, 11, 20, 29, 38, ? (a) 46 (b) 48 (c) 47 (d) 56
  24. 24.What comes next? 4, 6, 9, 13, 18, ? (a) 23 (b) 24 (c) 25 (d) 26
  25. 25.What comes next? 24, 20, 16, 12, 8, ? (a) 5 (b) 3 (c) 4 (d) 6
  26. 26.What comes next? 26, 24, 22, 20, 18, ? (a) 14 (b) 17 (c) 15 (d) 16
  27. 27.What comes next? 2, 6, 11, 17, 24, ? (a) 32 (b) 33 (c) 31 (d) 34
  28. 28.What comes next? 45, 39, 33, 27, 21, ? (a) 14 (b) 16 (c) 15 (d) 9
  29. 29.What comes next? 64, 55, 46, 37, 28, ? (a) 19 (b) 10 (c) 18 (d) 20
  30. 30.What comes next? 9, 14, 13, 18, 17, 22, ? (a) 27 (b) 20 (c) 23 (d) 21
  31. 31.What comes next? 12, 21, 13, 22, 14, 23, ? (a) 14 (b) 32 (c) 31 (d) 15
  32. 32.What comes next? 1, 7, 4, 10, 7, 13, ? (a) 9 (b) 19 (c) 10 (d) 16
  33. 33.What comes next? 19, 16, 13, 10, 7, ? (a) 5 (b) 1 (c) 3 (d) 4
  34. 34.What comes next? 55, 47, 39, 31, 23, ? (a) 14 (b) 16 (c) 7 (d) 15
  35. 35.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 193 (c) 240 (d) 192
  36. 36.What comes next? 22, 30, 38, 46, 54, ? (a) 63 (b) 62 (c) 70 (d) 61
  37. 37.What comes next? 1, 7, 5, 11, 9, 15, ? (a) 21 (b) 17 (c) 13 (d) 12
  38. 38.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 40 (c) 32 (d) 24
  39. 39.What comes next? 18, 22, 20, 24, 22, 26, ? (a) 30 (b) 23 (c) 24 (d) 28
  40. 40.What comes next? 39, 36, 33, 30, 27, ? (a) 25 (b) 23 (c) 24 (d) 21

Answer key

  1. 8
  2. 31
  3. 12
  4. 96
  5. 243
  6. 5
  7. 11
  8. 64
  9. 8
  10. 128
  11. 16
  12. 13
  13. 7
  14. 21
  15. 41
  16. 29
  17. 81
  18. 29
  19. 28
  20. 36
  21. 79
  22. 24
  23. 47
  24. 24
  25. 4
  26. 16
  27. 32
  28. 15
  29. 19
  30. 21
  31. 15
  32. 10
  33. 4
  34. 15
  35. 192
  36. 62
  37. 13
  38. 32
  39. 24
  40. 24

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