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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 143 · 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? 37, 31, 25, 19, 13, ? (a) 6 (b) 1 (c) 7 (d) 8
  2. 2.What comes next? 9, 16, 10, 17, 11, 18, ? (a) 12 (b) 24 (c) 25 (d) 11
  3. 3.What comes next? 50, 41, 32, 23, 14, ? (a) 6 (b) 4 (c) 7 (d) 5
  4. 4.What comes next? 10, 16, 12, 18, 14, 20, ? (a) 26 (b) 24 (c) 16 (d) 15
  5. 5.What comes next? 10, 13, 17, 22, 28, ? (a) 34 (b) 36 (c) 37 (d) 35
  6. 6.What comes next? 30, 28, 26, 24, 22, ? (a) 20 (b) 18 (c) 21 (d) 19
  7. 7.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 72 (d) 81
  8. 8.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 64 (c) 48 (d) 65
  9. 9.What comes next? 16, 17, 19, 22, 26, ? (a) 31 (b) 30 (c) 32 (d) 33
  10. 10.What comes next? 3, 11, 10, 18, 17, 25, ? (a) 26 (b) 24 (c) 23 (d) 33
  11. 11.What comes next? 48, 40, 32, 24, 16, ? (a) 7 (b) 10 (c) 9 (d) 8
  12. 12.What comes next? 43, 38, 33, 28, 23, ? (a) 19 (b) 13 (c) 18 (d) 17
  13. 13.What comes next? 2, 6, 11, 17, 24, ? (a) 33 (b) 31 (c) 34 (d) 32
  14. 14.What comes next? 13, 15, 17, 19, 21, ? (a) 24 (b) 22 (c) 25 (d) 23
  15. 15.What comes next? 11, 15, 20, 26, 33, ? (a) 41 (b) 40 (c) 42 (d) 43
  16. 16.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 24 (c) 32 (d) 33
  17. 17.What comes next? 5, 11, 6, 12, 7, 13, ? (a) 19 (b) 8 (c) 18 (d) 7
  18. 18.What comes next? 9, 13, 18, 24, 31, ? (a) 38 (b) 41 (c) 39 (d) 40
  19. 19.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 97 (c) 72 (d) 96
  20. 20.What comes next? 22, 18, 14, 10, 6, ? (a) 2 (b) 1 (c) 4 (d) 3
  21. 21.What comes next? 8, 10, 12, 14, 16, ? (a) 20 (b) 17 (c) 18 (d) 19
  22. 22.What comes next? 49, 44, 39, 34, 29, ? (a) 25 (b) 19 (c) 24 (d) 23
  23. 23.What comes next? 17, 23, 29, 35, 41, ? (a) 46 (b) 53 (c) 48 (d) 47
  24. 24.What comes next? 24, 20, 16, 12, 8, ? (a) 3 (b) 6 (c) 5 (d) 4
  25. 25.What comes next? 34, 28, 22, 16, 10, ? (a) 4 (b) 6 (c) 5 (d) 3
  26. 26.What comes next? 1, 5, 10, 16, 23, ? (a) 33 (b) 30 (c) 31 (d) 32
  27. 27.What comes next? 26, 30, 34, 38, 42, ? (a) 50 (b) 46 (c) 47 (d) 45
  28. 28.What comes next? 60, 51, 42, 33, 24, ? (a) 6 (b) 14 (c) 16 (d) 15
  29. 29.What comes next? 26, 22, 18, 14, 10, ? (a) 7 (b) 5 (c) 6 (d) 2
  30. 30.What comes next? 42, 34, 26, 18, 10, ? (a) 4 (b) 1 (c) 2 (d) 3
  31. 31.What comes next? 1, 4, 2, 5, 3, 6, ? (a) 8 (b) 9 (c) 4 (d) 3
  32. 32.What comes next? 7, 16, 9, 18, 11, 20, ? (a) 27 (b) 13 (c) 12 (d) 29
  33. 33.What comes next? 2, 10, 9, 17, 16, 24, ? (a) 22 (b) 25 (c) 32 (d) 23
  34. 34.What comes next? 25, 36, 47, 58, 69, ? (a) 79 (b) 80 (c) 91 (d) 81
  35. 35.What comes next? 37, 32, 27, 22, 17, ? (a) 12 (b) 7 (c) 11 (d) 13
  36. 36.What comes next? 18, 26, 34, 42, 50, ? (a) 57 (b) 58 (c) 66 (d) 59
  37. 37.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 135 (c) 216 (d) 270
  38. 38.What comes next? 16, 22, 28, 34, 40, ? (a) 45 (b) 46 (c) 47 (d) 52
  39. 39.What comes next? 29, 35, 41, 47, 53, ? (a) 59 (b) 65 (c) 58 (d) 60
  40. 40.What comes next? 29, 24, 19, 14, 9, ? (a) 5 (b) 3 (c) 4 (d) 6

Answer key

  1. 7
  2. 12
  3. 5
  4. 16
  5. 35
  6. 20
  7. 81
  8. 64
  9. 31
  10. 24
  11. 8
  12. 18
  13. 32
  14. 23
  15. 41
  16. 32
  17. 8
  18. 39
  19. 96
  20. 2
  21. 18
  22. 24
  23. 47
  24. 4
  25. 4
  26. 31
  27. 46
  28. 15
  29. 6
  30. 2
  31. 4
  32. 13
  33. 23
  34. 80
  35. 12
  36. 58
  37. 243
  38. 46
  39. 59
  40. 4

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