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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 396 · 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? 48, 43, 38, 33, 28, ? (a) 22 (b) 24 (c) 18 (d) 23
  2. 2.What comes next? 20, 28, 27, 35, 34, 42, ? (a) 43 (b) 50 (c) 40 (d) 41
  3. 3.What comes next? 3, 5, 7, 9, 11, ? (a) 12 (b) 15 (c) 14 (d) 13
  4. 4.What comes next? 3, 12, 6, 15, 9, 18, ? (a) 27 (b) 11 (c) 24 (d) 12
  5. 5.What comes next? 2, 7, 3, 8, 4, 9, ? (a) 14 (b) 13 (c) 5 (d) 4
  6. 6.What comes next? 25, 37, 49, 61, 73, ? (a) 86 (b) 85 (c) 84 (d) 97
  7. 7.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 144 (c) 90 (d) 180
  8. 8.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 161 (c) 160 (d) 120
  9. 9.What comes next? 16, 21, 17, 22, 18, 23, ? (a) 18 (b) 19 (c) 28 (d) 27
  10. 10.What comes next? 1, 6, 3, 8, 5, 10, ? (a) 6 (b) 15 (c) 13 (d) 7
  11. 11.What comes next? 20, 17, 14, 11, 8, ? (a) 4 (b) 6 (c) 5 (d) 2
  12. 12.What comes next? 68, 59, 50, 41, 32, ? (a) 14 (b) 23 (c) 22 (d) 24
  13. 13.What comes next? 9, 15, 13, 19, 17, 23, ? (a) 25 (b) 29 (c) 20 (d) 21
  14. 14.What comes next? 18, 27, 23, 32, 28, 37, ? (a) 32 (b) 41 (c) 46 (d) 33
  15. 15.What comes next? 32, 26, 20, 14, 8, ? (a) 2 (b) 1 (c) 4 (d) 3
  16. 16.What comes next? 5, 7, 10, 14, 19, ? (a) 24 (b) 27 (c) 26 (d) 25
  17. 17.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 270 (c) 135 (d) 243
  18. 18.What comes next? 1, 7, 4, 10, 7, 13, ? (a) 16 (b) 9 (c) 19 (d) 10
  19. 19.What comes next? 44, 39, 34, 29, 24, ? (a) 20 (b) 14 (c) 19 (d) 18
  20. 20.What comes next? 56, 47, 38, 29, 20, ? (a) 11 (b) 2 (c) 10 (d) 12
  21. 21.What comes next? 9, 11, 14, 18, 23, ? (a) 28 (b) 31 (c) 29 (d) 30
  22. 22.What comes next? 4, 8, 13, 19, 26, ? (a) 35 (b) 34 (c) 33 (d) 36
  23. 23.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 129 (c) 160 (d) 96
  24. 24.What comes next? 17, 22, 18, 23, 19, 24, ? (a) 28 (b) 20 (c) 19 (d) 29
  25. 25.What comes next? 10, 22, 34, 46, 58, ? (a) 82 (b) 70 (c) 71 (d) 69
  26. 26.What comes next? 2, 5, 3, 6, 4, 7, ? (a) 9 (b) 5 (c) 4 (d) 10
  27. 27.What comes next? 14, 17, 21, 26, 32, ? (a) 41 (b) 39 (c) 40 (d) 38
  28. 28.What comes next? 40, 35, 30, 25, 20, ? (a) 15 (b) 14 (c) 10 (d) 16
  29. 29.What comes next? 24, 20, 16, 12, 8, ? (a) 6 (b) 3 (c) 5 (d) 4
  30. 30.What comes next? 17, 23, 18, 24, 19, 25, ? (a) 30 (b) 19 (c) 31 (d) 20
  31. 31.What comes next? 5, 9, 14, 20, 27, ? (a) 37 (b) 35 (c) 34 (d) 36
  32. 32.What comes next? 14, 17, 15, 18, 16, 19, ? (a) 16 (b) 22 (c) 21 (d) 17
  33. 33.What comes next? 8, 12, 17, 23, 30, ? (a) 40 (b) 39 (c) 37 (d) 38
  34. 34.What comes next? 10, 14, 12, 16, 14, 18, ? (a) 22 (b) 15 (c) 16 (d) 20
  35. 35.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 32 (c) 33 (d) 40
  36. 36.What comes next? 16, 25, 23, 32, 30, 39, ? (a) 48 (b) 41 (c) 36 (d) 37
  37. 37.What comes next? 49, 44, 39, 34, 29, ? (a) 24 (b) 19 (c) 23 (d) 25
  38. 38.What comes next? 44, 40, 36, 32, 28, ? (a) 25 (b) 23 (c) 24 (d) 20
  39. 39.What comes next? 23, 25, 27, 29, 31, ? (a) 34 (b) 35 (c) 32 (d) 33
  40. 40.What comes next? 52, 44, 36, 28, 20, ? (a) 4 (b) 11 (c) 13 (d) 12

Answer key

  1. 23
  2. 41
  3. 13
  4. 12
  5. 5
  6. 85
  7. 162
  8. 160
  9. 19
  10. 7
  11. 5
  12. 23
  13. 21
  14. 33
  15. 2
  16. 25
  17. 243
  18. 10
  19. 19
  20. 11
  21. 29
  22. 34
  23. 128
  24. 20
  25. 70
  26. 5
  27. 39
  28. 15
  29. 4
  30. 20
  31. 35
  32. 17
  33. 38
  34. 16
  35. 32
  36. 37
  37. 24
  38. 24
  39. 33
  40. 12

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