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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 466 · 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? 1, 3, 9, 27, ? (a) 72 (b) 45 (c) 90 (d) 81
  2. 2.What comes next? 36, 31, 26, 21, 16, ? (a) 10 (b) 11 (c) 12 (d) 6
  3. 3.What comes next? 74, 65, 56, 47, 38, ? (a) 30 (b) 20 (c) 28 (d) 29
  4. 4.What comes next? 49, 41, 33, 25, 17, ? (a) 9 (b) 8 (c) 10 (d) 1
  5. 5.What comes next? 4, 5, 7, 10, 14, ? (a) 20 (b) 19 (c) 18 (d) 21
  6. 6.What comes next? 25, 32, 39, 46, 53, ? (a) 59 (b) 67 (c) 60 (d) 61
  7. 7.What comes next? 37, 35, 33, 31, 29, ? (a) 28 (b) 25 (c) 27 (d) 26
  8. 8.What comes next? 16, 25, 34, 43, 52, ? (a) 60 (b) 62 (c) 70 (d) 61
  9. 9.What comes next? 2, 3, 5, 8, 12, ? (a) 19 (b) 16 (c) 17 (d) 18
  10. 10.What comes next? 64, 55, 46, 37, 28, ? (a) 10 (b) 20 (c) 18 (d) 19
  11. 11.What comes next? 3, 6, 4, 7, 5, 8, ? (a) 10 (b) 11 (c) 6 (d) 5
  12. 12.What comes next? 14, 16, 19, 23, 28, ? (a) 35 (b) 33 (c) 36 (d) 34
  13. 13.What comes next? 50, 42, 34, 26, 18, ? (a) 10 (b) 11 (c) 9 (d) 2
  14. 14.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 160 (c) 129 (d) 96
  15. 15.What comes next? 17, 29, 41, 53, 65, ? (a) 76 (b) 89 (c) 77 (d) 78
  16. 16.What comes next? 18, 26, 19, 27, 20, 28, ? (a) 35 (b) 21 (c) 36 (d) 20
  17. 17.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 96 (c) 97 (d) 72
  18. 18.What comes next? 17, 20, 24, 29, 35, ? (a) 44 (b) 41 (c) 43 (d) 42
  19. 19.What comes next? 10, 12, 15, 19, 24, ? (a) 31 (b) 30 (c) 29 (d) 32
  20. 20.What comes next? 49, 45, 41, 37, 33, ? (a) 30 (b) 25 (c) 28 (d) 29
  21. 21.What comes next? 37, 30, 23, 16, 9, ? (a) 3 (b) 1 (c) 2 (d) 4
  22. 22.What comes next? 18, 23, 19, 24, 20, 25, ? (a) 29 (b) 20 (c) 21 (d) 30
  23. 23.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 80 (c) 48 (d) 64
  24. 24.What comes next? 42, 34, 26, 18, 10, ? (a) 2 (b) 3 (c) 4 (d) 1
  25. 25.What comes next? 24, 29, 34, 39, 44, ? (a) 49 (b) 54 (c) 50 (d) 48
  26. 26.What comes next? 19, 20, 22, 25, 29, ? (a) 35 (b) 33 (c) 34 (d) 36
  27. 27.What comes next? 34, 32, 30, 28, 26, ? (a) 25 (b) 22 (c) 23 (d) 24
  28. 28.What comes next? 22, 19, 16, 13, 10, ? (a) 8 (b) 6 (c) 7 (d) 4
  29. 29.What comes next? 10, 14, 18, 22, 26, ? (a) 29 (b) 30 (c) 34 (d) 31
  30. 30.What comes next? 8, 13, 12, 17, 16, 21, ? (a) 26 (b) 22 (c) 19 (d) 20
  31. 31.What comes next? 20, 28, 36, 44, 52, ? (a) 61 (b) 59 (c) 60 (d) 68
  32. 32.What comes next? 3, 10, 4, 11, 5, 12, ? (a) 6 (b) 5 (c) 18 (d) 19
  33. 33.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 216 (c) 135 (d) 270
  34. 34.What comes next? 19, 24, 22, 27, 25, 30, ? (a) 35 (b) 32 (c) 28 (d) 27
  35. 35.What comes next? 30, 38, 46, 54, 62, ? (a) 71 (b) 78 (c) 69 (d) 70
  36. 36.What comes next? 9, 17, 13, 21, 17, 25, ? (a) 20 (b) 29 (c) 21 (d) 33
  37. 37.What comes next? 9, 15, 14, 20, 19, 25, ? (a) 23 (b) 24 (c) 26 (d) 31
  38. 38.What comes next? 48, 43, 38, 33, 28, ? (a) 22 (b) 24 (c) 23 (d) 18
  39. 39.What comes next? 39, 35, 31, 27, 23, ? (a) 15 (b) 19 (c) 20 (d) 18
  40. 40.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 90 (c) 180 (d) 144

Answer key

  1. 81
  2. 11
  3. 29
  4. 9
  5. 19
  6. 60
  7. 27
  8. 61
  9. 17
  10. 19
  11. 6
  12. 34
  13. 10
  14. 128
  15. 77
  16. 21
  17. 96
  18. 42
  19. 30
  20. 29
  21. 2
  22. 21
  23. 64
  24. 2
  25. 49
  26. 34
  27. 24
  28. 7
  29. 30
  30. 20
  31. 60
  32. 6
  33. 243
  34. 28
  35. 70
  36. 21
  37. 24
  38. 23
  39. 19
  40. 162

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