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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 621 · 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? 16, 13, 10, 7, 4, ? (a) 3 (b) 2 (c) 1 (d) 4
  2. 2.What comes next? 20, 24, 29, 35, 42, ? (a) 49 (b) 50 (c) 52 (d) 51
  3. 3.What comes next? 12, 15, 19, 24, 30, ? (a) 36 (b) 38 (c) 39 (d) 37
  4. 4.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 45 (c) 81 (d) 90
  5. 5.What comes next? 8, 10, 12, 14, 16, ? (a) 18 (b) 17 (c) 19 (d) 20
  6. 6.What comes next? 23, 20, 17, 14, 11, ? (a) 5 (b) 8 (c) 9 (d) 7
  7. 7.What comes next? 58, 51, 44, 37, 30, ? (a) 24 (b) 16 (c) 22 (d) 23
  8. 8.What comes next? 14, 21, 15, 22, 16, 23, ? (a) 17 (b) 16 (c) 29 (d) 30
  9. 9.What comes next? 58, 49, 40, 31, 22, ? (a) 13 (b) 4 (c) 14 (d) 12
  10. 10.What comes next? 29, 27, 25, 23, 21, ? (a) 19 (b) 20 (c) 17 (d) 18
  11. 11.What comes next? 29, 24, 19, 14, 9, ? (a) 6 (b) 3 (c) 4 (d) 5
  12. 12.What comes next? 55, 46, 37, 28, 19, ? (a) 11 (b) 1 (c) 9 (d) 10
  13. 13.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 243 (c) 270 (d) 216
  14. 14.What comes next? 20, 22, 25, 29, 34, ? (a) 41 (b) 39 (c) 42 (d) 40
  15. 15.What comes next? 10, 14, 18, 22, 26, ? (a) 31 (b) 29 (c) 30 (d) 34
  16. 16.What comes next? 6, 9, 8, 11, 10, 13, ? (a) 14 (b) 16 (c) 12 (d) 11
  17. 17.What comes next? 21, 32, 43, 54, 65, ? (a) 76 (b) 87 (c) 77 (d) 75
  18. 18.What comes next? 25, 22, 19, 16, 13, ? (a) 7 (b) 11 (c) 9 (d) 10
  19. 19.What comes next? 1, 9, 6, 14, 11, 19, ? (a) 27 (b) 16 (c) 22 (d) 15
  20. 20.What comes next? 16, 20, 25, 31, 38, ? (a) 46 (b) 47 (c) 45 (d) 48
  21. 21.What comes next? 69, 60, 51, 42, 33, ? (a) 23 (b) 15 (c) 25 (d) 24
  22. 22.What comes next? 18, 29, 40, 51, 62, ? (a) 84 (b) 74 (c) 72 (d) 73
  23. 23.What comes next? 31, 26, 21, 16, 11, ? (a) 6 (b) 5 (c) 1 (d) 7
  24. 24.What comes next? 7, 16, 25, 34, 43, ? (a) 53 (b) 61 (c) 51 (d) 52
  25. 25.What comes next? 11, 13, 16, 20, 25, ? (a) 31 (b) 32 (c) 30 (d) 33
  26. 26.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 120 (c) 160 (d) 200
  27. 27.What comes next? 11, 17, 16, 22, 21, 27, ? (a) 25 (b) 33 (c) 28 (d) 26
  28. 28.What comes next? 23, 26, 29, 32, 35, ? (a) 39 (b) 38 (c) 41 (d) 37
  29. 29.What comes next? 5, 10, 9, 14, 13, 18, ? (a) 16 (b) 17 (c) 19 (d) 23
  30. 30.What comes next? 11, 15, 19, 23, 27, ? (a) 32 (b) 31 (c) 30 (d) 35
  31. 31.What comes next? 30, 28, 26, 24, 22, ? (a) 20 (b) 21 (c) 19 (d) 18
  32. 32.What comes next? 18, 20, 22, 24, 26, ? (a) 29 (b) 30 (c) 27 (d) 28
  33. 33.What comes next? 10, 20, 30, 40, 50, ? (a) 70 (b) 59 (c) 61 (d) 60
  34. 34.What comes next? 4, 10, 8, 14, 12, 18, ? (a) 20 (b) 15 (c) 16 (d) 24
  35. 35.What comes next? 17, 19, 22, 26, 31, ? (a) 36 (b) 37 (c) 38 (d) 39
  36. 36.What comes next? 7, 12, 8, 13, 9, 14, ? (a) 9 (b) 19 (c) 10 (d) 18
  37. 37.What comes next? 26, 31, 36, 41, 46, ? (a) 50 (b) 51 (c) 52 (d) 56
  38. 38.What comes next? 13, 16, 15, 18, 17, 20, ? (a) 21 (b) 19 (c) 18 (d) 23
  39. 39.What comes next? 5, 14, 23, 32, 41, ? (a) 51 (b) 49 (c) 50 (d) 59
  40. 40.What comes next? 22, 18, 14, 10, 6, ? (a) 3 (b) 4 (c) 1 (d) 2

Answer key

  1. 1
  2. 50
  3. 37
  4. 81
  5. 18
  6. 8
  7. 23
  8. 17
  9. 13
  10. 19
  11. 4
  12. 10
  13. 243
  14. 40
  15. 30
  16. 12
  17. 76
  18. 10
  19. 16
  20. 46
  21. 24
  22. 73
  23. 6
  24. 52
  25. 31
  26. 160
  27. 26
  28. 38
  29. 17
  30. 31
  31. 20
  32. 28
  33. 60
  34. 16
  35. 37
  36. 10
  37. 51
  38. 19
  39. 50
  40. 2

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