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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 990 · 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? 14, 12, 10, 8, 6, ? (a) 5 (b) 3 (c) 2 (d) 4
  2. 2.What comes next? 13, 16, 20, 25, 31, ? (a) 39 (b) 38 (c) 40 (d) 37
  3. 3.What comes next? 10, 15, 20, 25, 30, ? (a) 36 (b) 34 (c) 40 (d) 35
  4. 4.What comes next? 19, 22, 26, 31, 37, ? (a) 45 (b) 46 (c) 43 (d) 44
  5. 5.What comes next? 5, 9, 13, 17, 21, ? (a) 25 (b) 29 (c) 24 (d) 26
  6. 6.What comes next? 3, 12, 8, 17, 13, 22, ? (a) 18 (b) 17 (c) 26 (d) 31
  7. 7.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 96 (c) 129 (d) 160
  8. 8.What comes next? 17, 26, 21, 30, 25, 34, ? (a) 28 (b) 29 (c) 43 (d) 39
  9. 9.What comes next? 24, 27, 30, 33, 36, ? (a) 38 (b) 42 (c) 39 (d) 40
  10. 10.What comes next? 10, 15, 11, 16, 12, 17, ? (a) 22 (b) 21 (c) 13 (d) 12
  11. 11.What comes next? 7, 9, 11, 13, 15, ? (a) 18 (b) 19 (c) 17 (d) 16
  12. 12.What comes next? 36, 31, 26, 21, 16, ? (a) 12 (b) 11 (c) 6 (d) 10
  13. 13.What comes next? 5, 11, 8, 14, 11, 17, ? (a) 13 (b) 20 (c) 14 (d) 23
  14. 14.What comes next? 44, 37, 30, 23, 16, ? (a) 10 (b) 2 (c) 9 (d) 8
  15. 15.What comes next? 29, 25, 21, 17, 13, ? (a) 5 (b) 10 (c) 8 (d) 9
  16. 16.What comes next? 12, 13, 15, 18, 22, ? (a) 26 (b) 29 (c) 27 (d) 28
  17. 17.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 135 (c) 270 (d) 216
  18. 18.What comes next? 19, 21, 23, 25, 27, ? (a) 31 (b) 30 (c) 29 (d) 28
  19. 19.What comes next? 20, 17, 14, 11, 8, ? (a) 6 (b) 4 (c) 2 (d) 5
  20. 20.What comes next? 2, 3, 5, 8, 12, ? (a) 19 (b) 17 (c) 16 (d) 18
  21. 21.What comes next? 32, 29, 26, 23, 20, ? (a) 16 (b) 18 (c) 14 (d) 17
  22. 22.What comes next? 6, 10, 7, 11, 8, 12, ? (a) 15 (b) 9 (c) 16 (d) 8
  23. 23.What comes next? 11, 12, 14, 17, 21, ? (a) 28 (b) 26 (c) 27 (d) 25
  24. 24.What comes next? 41, 36, 31, 26, 21, ? (a) 17 (b) 11 (c) 16 (d) 15
  25. 25.What comes next? 11, 13, 16, 20, 25, ? (a) 30 (b) 31 (c) 33 (d) 32
  26. 26.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 90 (c) 72 (d) 45
  27. 27.What comes next? 26, 38, 50, 62, 74, ? (a) 98 (b) 85 (c) 87 (d) 86
  28. 28.What comes next? 20, 21, 23, 26, 30, ? (a) 37 (b) 34 (c) 36 (d) 35
  29. 29.What comes next? 47, 38, 29, 20, 11, ? (a) 3 (b) 1 (c) 4 (d) 2
  30. 30.What comes next? 43, 35, 27, 19, 11, ? (a) 5 (b) 2 (c) 4 (d) 3
  31. 31.What comes next? 19, 25, 23, 29, 27, 33, ? (a) 39 (b) 31 (c) 30 (d) 35
  32. 32.What comes next? 20, 24, 29, 35, 42, ? (a) 50 (b) 51 (c) 49 (d) 52
  33. 33.What comes next? 19, 25, 21, 27, 23, 29, ? (a) 35 (b) 25 (c) 24 (d) 33
  34. 34.What comes next? 19, 23, 28, 34, 41, ? (a) 48 (b) 50 (c) 51 (d) 49
  35. 35.What comes next? 19, 21, 24, 28, 33, ? (a) 38 (b) 41 (c) 39 (d) 40
  36. 36.What comes next? 10, 13, 17, 22, 28, ? (a) 35 (b) 36 (c) 34 (d) 37
  37. 37.What comes next? 6, 13, 20, 27, 34, ? (a) 42 (b) 41 (c) 48 (d) 40
  38. 38.What comes next? 3, 9, 15, 21, 27, ? (a) 33 (b) 34 (c) 39 (d) 32
  39. 39.What comes next? 8, 14, 20, 26, 32, ? (a) 38 (b) 39 (c) 37 (d) 44
  40. 40.What comes next? 7, 10, 9, 12, 11, 14, ? (a) 15 (b) 13 (c) 12 (d) 17

Answer key

  1. 4
  2. 38
  3. 35
  4. 44
  5. 25
  6. 18
  7. 128
  8. 29
  9. 39
  10. 13
  11. 17
  12. 11
  13. 14
  14. 9
  15. 9
  16. 27
  17. 243
  18. 29
  19. 5
  20. 17
  21. 17
  22. 9
  23. 26
  24. 16
  25. 31
  26. 81
  27. 86
  28. 35
  29. 2
  30. 3
  31. 31
  32. 50
  33. 25
  34. 49
  35. 39
  36. 35
  37. 41
  38. 33
  39. 38
  40. 13

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