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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 59 · 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, 20, 15, 21, 16, 22, ? (a) 28 (b) 27 (c) 16 (d) 17
  2. 2.What comes next? 5, 7, 9, 11, 13, ? (a) 15 (b) 17 (c) 14 (d) 16
  3. 3.What comes next? 3, 7, 6, 10, 9, 13, ? (a) 14 (b) 17 (c) 11 (d) 12
  4. 4.What comes next? 18, 25, 20, 27, 22, 29, ? (a) 34 (b) 36 (c) 24 (d) 23
  5. 5.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 96 (c) 72 (d) 97
  6. 6.What comes next? 48, 40, 32, 24, 16, ? (a) 7 (b) 8 (c) 10 (d) 9
  7. 7.What comes next? 22, 34, 46, 58, 70, ? (a) 82 (b) 94 (c) 81 (d) 83
  8. 8.What comes next? 9, 14, 19, 24, 29, ? (a) 34 (b) 39 (c) 35 (d) 33
  9. 9.What comes next? 35, 33, 31, 29, 27, ? (a) 23 (b) 26 (c) 24 (d) 25
  10. 10.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 45 (c) 90 (d) 81
  11. 11.What comes next? 20, 23, 27, 32, 38, ? (a) 46 (b) 44 (c) 47 (d) 45
  12. 12.What comes next? 11, 12, 14, 17, 21, ? (a) 28 (b) 27 (c) 26 (d) 25
  13. 13.What comes next? 9, 16, 14, 21, 19, 26, ? (a) 23 (b) 33 (c) 28 (d) 24
  14. 14.What comes next? 2, 5, 9, 14, 20, ? (a) 27 (b) 26 (c) 28 (d) 29
  15. 15.What comes next? 3, 12, 10, 19, 17, 26, ? (a) 28 (b) 24 (c) 35 (d) 23
  16. 16.What comes next? 17, 21, 26, 32, 39, ? (a) 48 (b) 46 (c) 49 (d) 47
  17. 17.What comes next? 24, 20, 16, 12, 8, ? (a) 3 (b) 5 (c) 6 (d) 4
  18. 18.What comes next? 47, 39, 31, 23, 15, ? (a) 6 (b) 9 (c) 8 (d) 7
  19. 19.What comes next? 6, 14, 7, 15, 8, 16, ? (a) 9 (b) 24 (c) 8 (d) 23
  20. 20.What comes next? 22, 19, 16, 13, 10, ? (a) 4 (b) 8 (c) 7 (d) 6
  21. 21.What comes next? 1, 3, 6, 10, 15, ? (a) 23 (b) 21 (c) 22 (d) 20
  22. 22.What comes next? 9, 13, 17, 21, 25, ? (a) 33 (b) 29 (c) 30 (d) 28
  23. 23.What comes next? 11, 20, 29, 38, 47, ? (a) 57 (b) 55 (c) 65 (d) 56
  24. 24.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 180 (c) 162 (d) 144
  25. 25.What comes next? 1, 4, 8, 13, 19, ? (a) 27 (b) 28 (c) 26 (d) 25
  26. 26.What comes next? 1, 5, 10, 16, 23, ? (a) 31 (b) 32 (c) 33 (d) 30
  27. 27.What comes next? 19, 25, 20, 26, 21, 27, ? (a) 21 (b) 33 (c) 22 (d) 32
  28. 28.What comes next? 16, 25, 21, 30, 26, 35, ? (a) 44 (b) 30 (c) 31 (d) 39
  29. 29.What comes next? 34, 29, 24, 19, 14, ? (a) 9 (b) 10 (c) 8 (d) 4
  30. 30.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 129 (c) 160 (d) 96
  31. 31.What comes next? 20, 23, 26, 29, 32, ? (a) 35 (b) 34 (c) 36 (d) 38
  32. 32.What comes next? 2, 6, 3, 7, 4, 8, ? (a) 11 (b) 4 (c) 5 (d) 12
  33. 33.What comes next? 4, 7, 11, 16, 22, ? (a) 28 (b) 31 (c) 30 (d) 29
  34. 34.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 243 (c) 135 (d) 216
  35. 35.What comes next? 14, 20, 26, 32, 38, ? (a) 44 (b) 43 (c) 45 (d) 50
  36. 36.What comes next? 54, 45, 36, 27, 18, ? (a) 11 (b) 10 (c) 9 (d) 8
  37. 37.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 33 (c) 40 (d) 24
  38. 38.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 65 (c) 64 (d) 48
  39. 39.What comes next? 7, 17, 27, 37, 47, ? (a) 58 (b) 67 (c) 57 (d) 56
  40. 40.What comes next? 2, 9, 16, 23, 30, ? (a) 38 (b) 36 (c) 44 (d) 37

Answer key

  1. 17
  2. 15
  3. 12
  4. 24
  5. 96
  6. 8
  7. 82
  8. 34
  9. 25
  10. 81
  11. 45
  12. 26
  13. 24
  14. 27
  15. 24
  16. 47
  17. 4
  18. 7
  19. 9
  20. 7
  21. 21
  22. 29
  23. 56
  24. 162
  25. 26
  26. 31
  27. 22
  28. 31
  29. 9
  30. 128
  31. 35
  32. 5
  33. 29
  34. 243
  35. 44
  36. 9
  37. 32
  38. 64
  39. 57
  40. 37

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