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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 350 · 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? 18, 22, 26, 30, 34, ? (a) 38 (b) 39 (c) 42 (d) 37
  2. 2.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 270 (c) 243 (d) 135
  3. 3.What comes next? 29, 24, 19, 14, 9, ? (a) 6 (b) 5 (c) 4 (d) 3
  4. 4.What comes next? 9, 13, 12, 16, 15, 19, ? (a) 20 (b) 17 (c) 23 (d) 18
  5. 5.What comes next? 4, 14, 24, 34, 44, ? (a) 54 (b) 53 (c) 64 (d) 55
  6. 6.What comes next? 6, 15, 14, 23, 22, 31, ? (a) 29 (b) 32 (c) 30 (d) 40
  7. 7.What comes next? 12, 18, 17, 23, 22, 28, ? (a) 26 (b) 34 (c) 27 (d) 29
  8. 8.What comes next? 12, 21, 19, 28, 26, 35, ? (a) 44 (b) 33 (c) 32 (d) 37
  9. 9.What comes next? 45, 37, 29, 21, 13, ? (a) 4 (b) 7 (c) 5 (d) 6
  10. 10.What comes next? 18, 15, 12, 9, 6, ? (a) 4 (b) 2 (c) 5 (d) 3
  11. 11.What comes next? 49, 40, 31, 22, 13, ? (a) 6 (b) 4 (c) 3 (d) 5
  12. 12.What comes next? 4, 9, 8, 13, 12, 17, ? (a) 18 (b) 16 (c) 22 (d) 15
  13. 13.What comes next? 50, 46, 42, 38, 34, ? (a) 29 (b) 30 (c) 26 (d) 31
  14. 14.What comes next? 2, 5, 8, 11, 14, ? (a) 16 (b) 17 (c) 20 (d) 18
  15. 15.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 96 (c) 72 (d) 120
  16. 16.What comes next? 13, 15, 17, 19, 21, ? (a) 24 (b) 22 (c) 23 (d) 25
  17. 17.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 80 (c) 65 (d) 64
  18. 18.What comes next? 20, 24, 28, 32, 36, ? (a) 41 (b) 40 (c) 39 (d) 44
  19. 19.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 90 (c) 45 (d) 72
  20. 20.What comes next? 18, 22, 20, 24, 22, 26, ? (a) 28 (b) 23 (c) 24 (d) 30
  21. 21.What comes next? 19, 20, 22, 25, 29, ? (a) 33 (b) 35 (c) 36 (d) 34
  22. 22.What comes next? 1, 5, 10, 16, 23, ? (a) 32 (b) 30 (c) 31 (d) 33
  23. 23.What comes next? 18, 22, 27, 33, 40, ? (a) 47 (b) 50 (c) 49 (d) 48
  24. 24.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 180 (c) 90 (d) 162
  25. 25.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 120 (c) 200 (d) 160
  26. 26.What comes next? 27, 36, 45, 54, 63, ? (a) 73 (b) 71 (c) 81 (d) 72
  27. 27.What comes next? 42, 34, 26, 18, 10, ? (a) 3 (b) 1 (c) 2 (d) 4
  28. 28.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 32 (c) 40 (d) 33
  29. 29.What comes next? 5, 6, 8, 11, 15, ? (a) 22 (b) 21 (c) 19 (d) 20
  30. 30.What comes next? 19, 22, 25, 28, 31, ? (a) 34 (b) 35 (c) 33 (d) 37
  31. 31.What comes next? 15, 17, 20, 24, 29, ? (a) 34 (b) 37 (c) 35 (d) 36
  32. 32.What comes next? 25, 23, 21, 19, 17, ? (a) 14 (b) 15 (c) 13 (d) 16
  33. 33.What comes next? 26, 33, 40, 47, 54, ? (a) 62 (b) 68 (c) 60 (d) 61
  34. 34.What comes next? 14, 25, 36, 47, 58, ? (a) 68 (b) 80 (c) 70 (d) 69
  35. 35.What comes next? 17, 18, 20, 23, 27, ? (a) 32 (b) 34 (c) 33 (d) 31
  36. 36.What comes next? 29, 26, 23, 20, 17, ? (a) 15 (b) 14 (c) 11 (d) 13
  37. 37.What comes next? 22, 28, 34, 40, 46, ? (a) 51 (b) 58 (c) 53 (d) 52
  38. 38.What comes next? 4, 6, 9, 13, 18, ? (a) 25 (b) 24 (c) 26 (d) 23
  39. 39.What comes next? 19, 29, 39, 49, 59, ? (a) 68 (b) 70 (c) 79 (d) 69
  40. 40.What comes next? 7, 9, 12, 16, 21, ? (a) 28 (b) 27 (c) 26 (d) 29

Answer key

  1. 38
  2. 243
  3. 4
  4. 18
  5. 54
  6. 30
  7. 27
  8. 33
  9. 5
  10. 3
  11. 4
  12. 16
  13. 30
  14. 17
  15. 96
  16. 23
  17. 64
  18. 40
  19. 81
  20. 24
  21. 34
  22. 31
  23. 48
  24. 162
  25. 160
  26. 72
  27. 2
  28. 32
  29. 20
  30. 34
  31. 35
  32. 15
  33. 61
  34. 69
  35. 32
  36. 14
  37. 52
  38. 24
  39. 69
  40. 27

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