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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 166 · 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? 15, 17, 19, 21, 23, ? (a) 25 (b) 26 (c) 27 (d) 24
  2. 2.What comes next? 3, 4, 6, 9, 13, ? (a) 17 (b) 18 (c) 20 (d) 19
  3. 3.What comes next? 28, 25, 22, 19, 16, ? (a) 13 (b) 14 (c) 12 (d) 10
  4. 4.What comes next? 7, 9, 12, 16, 21, ? (a) 29 (b) 27 (c) 26 (d) 28
  5. 5.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 144 (c) 162 (d) 180
  6. 6.What comes next? 69, 61, 53, 45, 37, ? (a) 28 (b) 21 (c) 29 (d) 30
  7. 7.What comes next? 1, 8, 3, 10, 5, 12, ? (a) 6 (b) 17 (c) 7 (d) 19
  8. 8.What comes next? 3, 6, 4, 7, 5, 8, ? (a) 11 (b) 6 (c) 5 (d) 10
  9. 9.What comes next? 30, 35, 40, 45, 50, ? (a) 54 (b) 60 (c) 55 (d) 56
  10. 10.What comes next? 29, 25, 21, 17, 13, ? (a) 8 (b) 9 (c) 5 (d) 10
  11. 11.What comes next? 9, 11, 14, 18, 23, ? (a) 30 (b) 31 (c) 28 (d) 29
  12. 12.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 48 (c) 80 (d) 65
  13. 13.What comes next? 48, 39, 30, 21, 12, ? (a) 4 (b) 5 (c) 2 (d) 3
  14. 14.What comes next? 8, 10, 13, 17, 22, ? (a) 29 (b) 28 (c) 30 (d) 27
  15. 15.What comes next? 12, 16, 15, 19, 18, 22, ? (a) 20 (b) 26 (c) 23 (d) 21
  16. 16.What comes next? 6, 10, 14, 18, 22, ? (a) 27 (b) 30 (c) 25 (d) 26
  17. 17.What comes next? 24, 27, 30, 33, 36, ? (a) 38 (b) 39 (c) 40 (d) 42
  18. 18.What comes next? 4, 5, 7, 10, 14, ? (a) 19 (b) 18 (c) 20 (d) 21
  19. 19.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 129 (c) 160 (d) 96
  20. 20.What comes next? 4, 8, 13, 19, 26, ? (a) 33 (b) 35 (c) 36 (d) 34
  21. 21.What comes next? 2, 8, 4, 10, 6, 12, ? (a) 16 (b) 8 (c) 7 (d) 18
  22. 22.What comes next? 14, 18, 22, 26, 30, ? (a) 35 (b) 38 (c) 34 (d) 33
  23. 23.What comes next? 51, 44, 37, 30, 23, ? (a) 15 (b) 17 (c) 9 (d) 16
  24. 24.What comes next? 9, 13, 18, 24, 31, ? (a) 38 (b) 41 (c) 40 (d) 39
  25. 25.What comes next? 1, 6, 4, 9, 7, 12, ? (a) 17 (b) 9 (c) 14 (d) 10
  26. 26.What comes next? 4, 8, 7, 11, 10, 14, ? (a) 18 (b) 12 (c) 15 (d) 13
  27. 27.What comes next? 12, 20, 28, 36, 44, ? (a) 60 (b) 53 (c) 52 (d) 51
  28. 28.What comes next? 17, 24, 20, 27, 23, 30, ? (a) 34 (b) 26 (c) 37 (d) 25
  29. 29.What comes next? 4, 10, 9, 15, 14, 20, ? (a) 18 (b) 19 (c) 26 (d) 21
  30. 30.What comes next? 10, 19, 18, 27, 26, 35, ? (a) 33 (b) 44 (c) 36 (d) 34
  31. 31.What comes next? 56, 50, 44, 38, 32, ? (a) 25 (b) 26 (c) 27 (d) 20
  32. 32.What comes next? 1, 4, 8, 13, 19, ? (a) 28 (b) 25 (c) 26 (d) 27
  33. 33.What comes next? 22, 18, 14, 10, 6, ? (a) 4 (b) 1 (c) 3 (d) 2
  34. 34.What comes next? 6, 10, 7, 11, 8, 12, ? (a) 9 (b) 8 (c) 15 (d) 16
  35. 35.What comes next? 4, 13, 8, 17, 12, 21, ? (a) 15 (b) 16 (c) 26 (d) 30
  36. 36.What comes next? 14, 12, 10, 8, 6, ? (a) 2 (b) 4 (c) 5 (d) 3
  37. 37.What comes next? 9, 13, 17, 21, 25, ? (a) 33 (b) 28 (c) 29 (d) 30
  38. 38.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 270 (c) 135 (d) 216
  39. 39.What comes next? 17, 24, 19, 26, 21, 28, ? (a) 35 (b) 23 (c) 22 (d) 33
  40. 40.What comes next? 3, 5, 8, 12, 17, ? (a) 24 (b) 22 (c) 23 (d) 25

Answer key

  1. 25
  2. 18
  3. 13
  4. 27
  5. 162
  6. 29
  7. 7
  8. 6
  9. 55
  10. 9
  11. 29
  12. 64
  13. 3
  14. 28
  15. 21
  16. 26
  17. 39
  18. 19
  19. 128
  20. 34
  21. 8
  22. 34
  23. 16
  24. 39
  25. 10
  26. 13
  27. 52
  28. 26
  29. 19
  30. 34
  31. 26
  32. 26
  33. 2
  34. 9
  35. 16
  36. 4
  37. 29
  38. 243
  39. 23
  40. 23

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