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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 91 · 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? 5, 10, 9, 14, 13, 18, ? (a) 19 (b) 17 (c) 23 (d) 16
  2. 2.What comes next? 9, 16, 12, 19, 15, 22, ? (a) 26 (b) 29 (c) 17 (d) 18
  3. 3.What comes next? 19, 27, 21, 29, 23, 31, ? (a) 37 (b) 39 (c) 24 (d) 25
  4. 4.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 33 (c) 40 (d) 24
  5. 5.What comes next? 5, 13, 21, 29, 37, ? (a) 45 (b) 53 (c) 46 (d) 44
  6. 6.What comes next? 19, 26, 21, 28, 23, 30, ? (a) 37 (b) 24 (c) 25 (d) 35
  7. 7.What comes next? 22, 18, 14, 10, 6, ? (a) 4 (b) 1 (c) 3 (d) 2
  8. 8.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 216 (c) 243 (d) 270
  9. 9.What comes next? 28, 32, 36, 40, 44, ? (a) 52 (b) 48 (c) 49 (d) 47
  10. 10.What comes next? 17, 22, 21, 26, 25, 30, ? (a) 31 (b) 35 (c) 28 (d) 29
  11. 11.What comes next? 17, 21, 20, 24, 23, 27, ? (a) 26 (b) 25 (c) 31 (d) 28
  12. 12.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 45 (c) 81 (d) 72
  13. 13.What comes next? 5, 6, 8, 11, 15, ? (a) 20 (b) 21 (c) 22 (d) 19
  14. 14.What comes next? 20, 22, 25, 29, 34, ? (a) 42 (b) 41 (c) 40 (d) 39
  15. 15.What comes next? 3, 4, 6, 9, 13, ? (a) 18 (b) 17 (c) 19 (d) 20
  16. 16.What comes next? 2, 11, 3, 12, 4, 13, ? (a) 22 (b) 4 (c) 5 (d) 21
  17. 17.What comes next? 22, 26, 30, 34, 38, ? (a) 46 (b) 41 (c) 42 (d) 43
  18. 18.What comes next? 33, 29, 25, 21, 17, ? (a) 12 (b) 13 (c) 9 (d) 14
  19. 19.What comes next? 7, 14, 13, 20, 19, 26, ? (a) 27 (b) 25 (c) 24 (d) 33
  20. 20.What comes next? 17, 21, 25, 29, 33, ? (a) 41 (b) 37 (c) 36 (d) 38
  21. 21.What comes next? 14, 19, 15, 20, 16, 21, ? (a) 16 (b) 25 (c) 17 (d) 26
  22. 22.What comes next? 21, 25, 29, 33, 37, ? (a) 40 (b) 41 (c) 42 (d) 45
  23. 23.What comes next? 13, 17, 14, 18, 15, 19, ? (a) 22 (b) 23 (c) 15 (d) 16
  24. 24.What comes next? 16, 23, 30, 37, 44, ? (a) 52 (b) 58 (c) 51 (d) 50
  25. 25.What comes next? 2, 4, 7, 11, 16, ? (a) 21 (b) 23 (c) 22 (d) 24
  26. 26.What comes next? 9, 12, 16, 21, 27, ? (a) 33 (b) 34 (c) 35 (d) 36
  27. 27.What comes next? 12, 16, 14, 18, 16, 20, ? (a) 24 (b) 17 (c) 18 (d) 22
  28. 28.What comes next? 2, 10, 7, 15, 12, 20, ? (a) 17 (b) 28 (c) 16 (d) 23
  29. 29.What comes next? 15, 22, 19, 26, 23, 30, ? (a) 37 (b) 33 (c) 27 (d) 26
  30. 30.What comes next? 2, 6, 11, 17, 24, ? (a) 32 (b) 33 (c) 34 (d) 31
  31. 31.What comes next? 11, 20, 16, 25, 21, 30, ? (a) 39 (b) 34 (c) 25 (d) 26
  32. 32.What comes next? 9, 12, 11, 14, 13, 16, ? (a) 15 (b) 14 (c) 17 (d) 19
  33. 33.What comes next? 2, 9, 16, 23, 30, ? (a) 44 (b) 36 (c) 38 (d) 37
  34. 34.What comes next? 6, 8, 11, 15, 20, ? (a) 25 (b) 28 (c) 26 (d) 27
  35. 35.What comes next? 11, 19, 13, 21, 15, 23, ? (a) 31 (b) 16 (c) 29 (d) 17
  36. 36.What comes next? 26, 34, 42, 50, 58, ? (a) 66 (b) 65 (c) 74 (d) 67
  37. 37.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 120 (c) 161 (d) 160
  38. 38.What comes next? 3, 12, 11, 20, 19, 28, ? (a) 26 (b) 37 (c) 27 (d) 29
  39. 39.What comes next? 10, 11, 13, 16, 20, ? (a) 25 (b) 24 (c) 27 (d) 26
  40. 40.What comes next? 23, 27, 31, 35, 39, ? (a) 43 (b) 44 (c) 42 (d) 47

Answer key

  1. 17
  2. 18
  3. 25
  4. 32
  5. 45
  6. 25
  7. 2
  8. 243
  9. 48
  10. 29
  11. 26
  12. 81
  13. 20
  14. 40
  15. 18
  16. 5
  17. 42
  18. 13
  19. 25
  20. 37
  21. 17
  22. 41
  23. 16
  24. 51
  25. 22
  26. 34
  27. 18
  28. 17
  29. 27
  30. 32
  31. 26
  32. 15
  33. 37
  34. 26
  35. 17
  36. 66
  37. 160
  38. 27
  39. 25
  40. 43

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