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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 255 · 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? 28, 25, 22, 19, 16, ? (a) 10 (b) 13 (c) 12 (d) 14
  2. 2.What comes next? 7, 16, 25, 34, 43, ? (a) 61 (b) 51 (c) 52 (d) 53
  3. 3.What comes next? 4, 11, 5, 12, 6, 13, ? (a) 7 (b) 19 (c) 20 (d) 6
  4. 4.What comes next? 13, 22, 17, 26, 21, 30, ? (a) 35 (b) 25 (c) 24 (d) 39
  5. 5.What comes next? 30, 34, 38, 42, 46, ? (a) 54 (b) 49 (c) 51 (d) 50
  6. 6.What comes next? 28, 26, 24, 22, 20, ? (a) 19 (b) 18 (c) 16 (d) 17
  7. 7.What comes next? 14, 20, 18, 24, 22, 28, ? (a) 26 (b) 25 (c) 34 (d) 30
  8. 8.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 90 (c) 81 (d) 45
  9. 9.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 90 (c) 144 (d) 162
  10. 10.What comes next? 50, 42, 34, 26, 18, ? (a) 2 (b) 9 (c) 11 (d) 10
  11. 11.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 243 (c) 216 (d) 270
  12. 12.What comes next? 4, 14, 24, 34, 44, ? (a) 55 (b) 54 (c) 64 (d) 53
  13. 13.What comes next? 63, 54, 45, 36, 27, ? (a) 18 (b) 17 (c) 19 (d) 9
  14. 14.What comes next? 17, 15, 13, 11, 9, ? (a) 5 (b) 8 (c) 6 (d) 7
  15. 15.What comes next? 23, 30, 37, 44, 51, ? (a) 58 (b) 65 (c) 59 (d) 57
  16. 16.What comes next? 39, 32, 25, 18, 11, ? (a) 3 (b) 6 (c) 4 (d) 5
  17. 17.What comes next? 12, 15, 13, 16, 14, 17, ? (a) 20 (b) 15 (c) 19 (d) 14
  18. 18.What comes next? 16, 23, 30, 37, 44, ? (a) 58 (b) 52 (c) 50 (d) 51
  19. 19.What comes next? 25, 30, 35, 40, 45, ? (a) 49 (b) 51 (c) 50 (d) 55
  20. 20.What comes next? 71, 62, 53, 44, 35, ? (a) 25 (b) 27 (c) 26 (d) 17
  21. 21.What comes next? 56, 47, 38, 29, 20, ? (a) 10 (b) 2 (c) 11 (d) 12
  22. 22.What comes next? 16, 14, 12, 10, 8, ? (a) 4 (b) 5 (c) 7 (d) 6
  23. 23.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 80 (c) 65 (d) 64
  24. 24.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 40 (c) 24 (d) 33
  25. 25.What comes next? 21, 18, 15, 12, 9, ? (a) 3 (b) 6 (c) 5 (d) 7
  26. 26.What comes next? 1, 5, 10, 16, 23, ? (a) 30 (b) 32 (c) 33 (d) 31
  27. 27.What comes next? 11, 14, 18, 23, 29, ? (a) 35 (b) 36 (c) 38 (d) 37
  28. 28.What comes next? 13, 17, 22, 28, 35, ? (a) 42 (b) 45 (c) 43 (d) 44
  29. 29.What comes next? 2, 3, 5, 8, 12, ? (a) 18 (b) 16 (c) 19 (d) 17
  30. 30.What comes next? 42, 38, 34, 30, 26, ? (a) 22 (b) 21 (c) 18 (d) 23
  31. 31.What comes next? 17, 20, 23, 26, 29, ? (a) 35 (b) 32 (c) 33 (d) 31
  32. 32.What comes next? 24, 22, 20, 18, 16, ? (a) 12 (b) 15 (c) 14 (d) 13
  33. 33.What comes next? 38, 34, 30, 26, 22, ? (a) 14 (b) 17 (c) 19 (d) 18
  34. 34.What comes next? 19, 22, 21, 24, 23, 26, ? (a) 27 (b) 25 (c) 29 (d) 24
  35. 35.What comes next? 5, 9, 14, 20, 27, ? (a) 36 (b) 34 (c) 37 (d) 35
  36. 36.What comes next? 53, 48, 43, 38, 33, ? (a) 23 (b) 28 (c) 29 (d) 27
  37. 37.What comes next? 51, 44, 37, 30, 23, ? (a) 15 (b) 17 (c) 16 (d) 9
  38. 38.What comes next? 40, 33, 26, 19, 12, ? (a) 6 (b) 5 (c) 4 (d) 7
  39. 39.What comes next? 49, 43, 37, 31, 25, ? (a) 18 (b) 13 (c) 19 (d) 20
  40. 40.What comes next? 12, 13, 15, 18, 22, ? (a) 28 (b) 29 (c) 26 (d) 27

Answer key

  1. 13
  2. 52
  3. 7
  4. 25
  5. 50
  6. 18
  7. 26
  8. 81
  9. 162
  10. 10
  11. 243
  12. 54
  13. 18
  14. 7
  15. 58
  16. 4
  17. 15
  18. 51
  19. 50
  20. 26
  21. 11
  22. 6
  23. 64
  24. 32
  25. 6
  26. 31
  27. 36
  28. 43
  29. 17
  30. 22
  31. 32
  32. 14
  33. 18
  34. 25
  35. 35
  36. 28
  37. 16
  38. 5
  39. 19
  40. 27

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