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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 493 · 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, 16, 18, 21, 25, ? (a) 31 (b) 30 (c) 32 (d) 29
  2. 2.What comes next? 7, 18, 29, 40, 51, ? (a) 73 (b) 63 (c) 61 (d) 62
  3. 3.What comes next? 41, 34, 27, 20, 13, ? (a) 7 (b) 6 (c) 8 (d) 5
  4. 4.What comes next? 9, 18, 14, 23, 19, 28, ? (a) 23 (b) 32 (c) 24 (d) 37
  5. 5.What comes next? 74, 65, 56, 47, 38, ? (a) 28 (b) 29 (c) 20 (d) 30
  6. 6.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 40 (c) 33 (d) 24
  7. 7.What comes next? 9, 16, 10, 17, 11, 18, ? (a) 24 (b) 12 (c) 11 (d) 25
  8. 8.What comes next? 2, 6, 4, 8, 6, 10, ? (a) 7 (b) 14 (c) 12 (d) 8
  9. 9.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 72 (c) 45 (d) 81
  10. 10.What comes next? 18, 26, 34, 42, 50, ? (a) 57 (b) 59 (c) 58 (d) 66
  11. 11.What comes next? 10, 19, 11, 20, 12, 21, ? (a) 29 (b) 13 (c) 30 (d) 12
  12. 12.What comes next? 70, 61, 52, 43, 34, ? (a) 26 (b) 16 (c) 25 (d) 24
  13. 13.What comes next? 15, 18, 22, 27, 33, ? (a) 41 (b) 39 (c) 40 (d) 42
  14. 14.What comes next? 39, 33, 27, 21, 15, ? (a) 10 (b) 9 (c) 3 (d) 8
  15. 15.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 216 (c) 135 (d) 243
  16. 16.What comes next? 20, 24, 21, 25, 22, 26, ? (a) 23 (b) 29 (c) 22 (d) 30
  17. 17.What comes next? 10, 13, 11, 14, 12, 15, ? (a) 17 (b) 12 (c) 13 (d) 18
  18. 18.What comes next? 56, 47, 38, 29, 20, ? (a) 12 (b) 10 (c) 2 (d) 11
  19. 19.What comes next? 5, 7, 10, 14, 19, ? (a) 25 (b) 26 (c) 27 (d) 24
  20. 20.What comes next? 30, 37, 44, 51, 58, ? (a) 72 (b) 64 (c) 65 (d) 66
  21. 21.What comes next? 3, 5, 8, 12, 17, ? (a) 22 (b) 24 (c) 25 (d) 23
  22. 22.What comes next? 47, 43, 39, 35, 31, ? (a) 28 (b) 26 (c) 27 (d) 23
  23. 23.What comes next? 19, 22, 26, 31, 37, ? (a) 45 (b) 43 (c) 44 (d) 46
  24. 24.What comes next? 17, 14, 11, 8, 5, ? (a) 1 (b) 2 (c) 3 (d) 4
  25. 25.What comes next? 6, 15, 24, 33, 42, ? (a) 51 (b) 50 (c) 60 (d) 52
  26. 26.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 180 (c) 144 (d) 90
  27. 27.What comes next? 37, 32, 27, 22, 17, ? (a) 7 (b) 13 (c) 11 (d) 12
  28. 28.What comes next? 8, 9, 11, 14, 18, ? (a) 22 (b) 24 (c) 23 (d) 25
  29. 29.What comes next? 7, 10, 8, 11, 9, 12, ? (a) 14 (b) 15 (c) 9 (d) 10
  30. 30.What comes next? 48, 39, 30, 21, 12, ? (a) 4 (b) 5 (c) 2 (d) 3
  31. 31.What comes next? 11, 9, 7, 5, 3, ? (a) 4 (b) 3 (c) 1 (d) 2
  32. 32.What comes next? 1, 5, 10, 16, 23, ? (a) 31 (b) 30 (c) 33 (d) 32
  33. 33.What comes next? 19, 21, 24, 28, 33, ? (a) 38 (b) 41 (c) 39 (d) 40
  34. 34.What comes next? 39, 34, 29, 24, 19, ? (a) 13 (b) 14 (c) 9 (d) 15
  35. 35.What comes next? 11, 15, 19, 23, 27, ? (a) 30 (b) 35 (c) 31 (d) 32
  36. 36.What comes next? 13, 20, 27, 34, 41, ? (a) 48 (b) 55 (c) 47 (d) 49
  37. 37.What comes next? 9, 13, 18, 24, 31, ? (a) 38 (b) 40 (c) 41 (d) 39
  38. 38.What comes next? 16, 20, 24, 28, 32, ? (a) 40 (b) 35 (c) 36 (d) 37
  39. 39.What comes next? 8, 15, 12, 19, 16, 23, ? (a) 26 (b) 20 (c) 19 (d) 30
  40. 40.What comes next? 23, 20, 17, 14, 11, ? (a) 7 (b) 8 (c) 9 (d) 5

Answer key

  1. 30
  2. 62
  3. 6
  4. 24
  5. 29
  6. 32
  7. 12
  8. 8
  9. 81
  10. 58
  11. 13
  12. 25
  13. 40
  14. 9
  15. 243
  16. 23
  17. 13
  18. 11
  19. 25
  20. 65
  21. 23
  22. 27
  23. 44
  24. 2
  25. 51
  26. 162
  27. 12
  28. 23
  29. 10
  30. 3
  31. 1
  32. 31
  33. 39
  34. 14
  35. 31
  36. 48
  37. 39
  38. 36
  39. 20
  40. 8

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