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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 434 · 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) 32 (b) 30 (c) 31 (d) 29
  2. 2.What comes next? 27, 39, 51, 63, 75, ? (a) 87 (b) 99 (c) 88 (d) 86
  3. 3.What comes next? 1, 2, 4, 7, 11, ? (a) 17 (b) 18 (c) 15 (d) 16
  4. 4.What comes next? 4, 5, 7, 10, 14, ? (a) 18 (b) 20 (c) 19 (d) 21
  5. 5.What comes next? 13, 17, 21, 25, 29, ? (a) 34 (b) 37 (c) 33 (d) 32
  6. 6.What comes next? 27, 25, 23, 21, 19, ? (a) 17 (b) 15 (c) 16 (d) 18
  7. 7.What comes next? 20, 26, 21, 27, 22, 28, ? (a) 34 (b) 23 (c) 22 (d) 33
  8. 8.What comes next? 2, 10, 6, 14, 10, 18, ? (a) 14 (b) 13 (c) 22 (d) 26
  9. 9.What comes next? 44, 40, 36, 32, 28, ? (a) 24 (b) 25 (c) 23 (d) 20
  10. 10.What comes next? 7, 17, 27, 37, 47, ? (a) 67 (b) 57 (c) 58 (d) 56
  11. 11.What comes next? 58, 52, 46, 40, 34, ? (a) 27 (b) 29 (c) 22 (d) 28
  12. 12.What comes next? 15, 21, 27, 33, 39, ? (a) 51 (b) 46 (c) 44 (d) 45
  13. 13.What comes next? 1, 3, 6, 10, 15, ? (a) 23 (b) 20 (c) 21 (d) 22
  14. 14.What comes next? 16, 13, 10, 7, 4, ? (a) 2 (b) 3 (c) 1 (d) 4
  15. 15.What comes next? 14, 16, 19, 23, 28, ? (a) 34 (b) 36 (c) 33 (d) 35
  16. 16.What comes next? 20, 24, 28, 32, 36, ? (a) 39 (b) 40 (c) 41 (d) 44
  17. 17.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 243 (c) 135 (d) 270
  18. 18.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 161 (c) 200 (d) 120
  19. 19.What comes next? 19, 24, 20, 25, 21, 26, ? (a) 31 (b) 21 (c) 22 (d) 30
  20. 20.What comes next? 4, 12, 20, 28, 36, ? (a) 45 (b) 52 (c) 44 (d) 43
  21. 21.What comes next? 1, 5, 2, 6, 3, 7, ? (a) 11 (b) 10 (c) 3 (d) 4
  22. 22.What comes next? 3, 9, 15, 21, 27, ? (a) 32 (b) 34 (c) 33 (d) 39
  23. 23.What comes next? 4, 7, 11, 16, 22, ? (a) 30 (b) 29 (c) 31 (d) 28
  24. 24.What comes next? 45, 42, 39, 36, 33, ? (a) 29 (b) 27 (c) 30 (d) 31
  25. 25.What comes next? 18, 22, 21, 25, 24, 28, ? (a) 29 (b) 26 (c) 32 (d) 27
  26. 26.What comes next? 14, 12, 10, 8, 6, ? (a) 5 (b) 4 (c) 2 (d) 3
  27. 27.What comes next? 13, 15, 17, 19, 21, ? (a) 23 (b) 25 (c) 22 (d) 24
  28. 28.What comes next? 4, 8, 12, 16, 20, ? (a) 25 (b) 28 (c) 23 (d) 24
  29. 29.What comes next? 6, 15, 11, 20, 16, 25, ? (a) 20 (b) 29 (c) 21 (d) 34
  30. 30.What comes next? 51, 44, 37, 30, 23, ? (a) 9 (b) 17 (c) 15 (d) 16
  31. 31.What comes next? 22, 30, 38, 46, 54, ? (a) 70 (b) 63 (c) 62 (d) 61
  32. 32.What comes next? 10, 20, 30, 40, 50, ? (a) 61 (b) 70 (c) 59 (d) 60
  33. 33.What comes next? 3, 14, 25, 36, 47, ? (a) 69 (b) 59 (c) 58 (d) 57
  34. 34.What comes next? 5, 12, 19, 26, 33, ? (a) 47 (b) 41 (c) 40 (d) 39
  35. 35.What comes next? 21, 31, 41, 51, 61, ? (a) 70 (b) 71 (c) 72 (d) 81
  36. 36.What comes next? 21, 19, 17, 15, 13, ? (a) 11 (b) 12 (c) 9 (d) 10
  37. 37.What comes next? 4, 13, 11, 20, 18, 27, ? (a) 24 (b) 29 (c) 25 (d) 36
  38. 38.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 180 (c) 162 (d) 144
  39. 39.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 193 (c) 192 (d) 144
  40. 40.What comes next? 11, 16, 21, 26, 31, ? (a) 35 (b) 36 (c) 37 (d) 41

Answer key

  1. 30
  2. 87
  3. 16
  4. 19
  5. 33
  6. 17
  7. 23
  8. 14
  9. 24
  10. 57
  11. 28
  12. 45
  13. 21
  14. 1
  15. 34
  16. 40
  17. 243
  18. 160
  19. 22
  20. 44
  21. 4
  22. 33
  23. 29
  24. 30
  25. 27
  26. 4
  27. 23
  28. 24
  29. 21
  30. 16
  31. 62
  32. 60
  33. 58
  34. 40
  35. 71
  36. 11
  37. 25
  38. 162
  39. 192
  40. 36

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