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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 388 · 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? 12, 15, 18, 21, 24, ? (a) 26 (b) 30 (c) 28 (d) 27
  2. 2.What comes next? 40, 37, 34, 31, 28, ? (a) 22 (b) 26 (c) 24 (d) 25
  3. 3.What comes next? 10, 16, 13, 19, 16, 22, ? (a) 28 (b) 18 (c) 19 (d) 25
  4. 4.What comes next? 8, 13, 12, 17, 16, 21, ? (a) 26 (b) 19 (c) 22 (d) 20
  5. 5.What comes next? 4, 16, 28, 40, 52, ? (a) 65 (b) 63 (c) 76 (d) 64
  6. 6.What comes next? 20, 27, 26, 33, 32, 39, ? (a) 40 (b) 37 (c) 38 (d) 46
  7. 7.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 72 (c) 45 (d) 90
  8. 8.What comes next? 2, 4, 7, 11, 16, ? (a) 21 (b) 22 (c) 24 (d) 23
  9. 9.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 161 (c) 160 (d) 120
  10. 10.What comes next? 4, 12, 20, 28, 36, ? (a) 52 (b) 43 (c) 45 (d) 44
  11. 11.What comes next? 2, 5, 4, 7, 6, 9, ? (a) 10 (b) 7 (c) 12 (d) 8
  12. 12.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 162 (c) 180 (d) 144
  13. 13.What comes next? 7, 8, 10, 13, 17, ? (a) 23 (b) 21 (c) 24 (d) 22
  14. 14.What comes next? 3, 10, 6, 13, 9, 16, ? (a) 23 (b) 20 (c) 11 (d) 12
  15. 15.What comes next? 16, 20, 25, 31, 38, ? (a) 46 (b) 47 (c) 48 (d) 45
  16. 16.What comes next? 7, 10, 14, 19, 25, ? (a) 32 (b) 34 (c) 31 (d) 33
  17. 17.What comes next? 41, 34, 27, 20, 13, ? (a) 7 (b) 6 (c) 8 (d) 5
  18. 18.What comes next? 43, 40, 37, 34, 31, ? (a) 28 (b) 27 (c) 29 (d) 25
  19. 19.What comes next? 12, 15, 14, 17, 16, 19, ? (a) 20 (b) 17 (c) 18 (d) 22
  20. 20.What comes next? 13, 20, 15, 22, 17, 24, ? (a) 31 (b) 18 (c) 19 (d) 29
  21. 21.What comes next? 7, 14, 12, 19, 17, 24, ? (a) 22 (b) 26 (c) 21 (d) 31
  22. 22.What comes next? 49, 40, 31, 22, 13, ? (a) 6 (b) 5 (c) 4 (d) 3
  23. 23.What comes next? 65, 57, 49, 41, 33, ? (a) 24 (b) 25 (c) 26 (d) 17
  24. 24.What comes next? 42, 34, 26, 18, 10, ? (a) 1 (b) 4 (c) 2 (d) 3
  25. 25.What comes next? 6, 10, 15, 21, 28, ? (a) 37 (b) 36 (c) 35 (d) 38
  26. 26.What comes next? 21, 18, 15, 12, 9, ? (a) 6 (b) 5 (c) 3 (d) 7
  27. 27.What comes next? 19, 21, 24, 28, 33, ? (a) 38 (b) 41 (c) 39 (d) 40
  28. 28.What comes next? 25, 36, 47, 58, 69, ? (a) 91 (b) 79 (c) 81 (d) 80
  29. 29.What comes next? 30, 36, 42, 48, 54, ? (a) 66 (b) 59 (c) 61 (d) 60
  30. 30.What comes next? 31, 26, 21, 16, 11, ? (a) 7 (b) 6 (c) 5 (d) 1
  31. 31.What comes next? 21, 28, 35, 42, 49, ? (a) 63 (b) 56 (c) 55 (d) 57
  32. 32.What comes next? 24, 36, 48, 60, 72, ? (a) 84 (b) 96 (c) 85 (d) 83
  33. 33.What comes next? 11, 15, 12, 16, 13, 17, ? (a) 20 (b) 14 (c) 21 (d) 13
  34. 34.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 243 (c) 270 (d) 216
  35. 35.What comes next? 50, 44, 38, 32, 26, ? (a) 20 (b) 14 (c) 21 (d) 19
  36. 36.What comes next? 14, 17, 21, 26, 32, ? (a) 38 (b) 41 (c) 39 (d) 40
  37. 37.What comes next? 11, 13, 16, 20, 25, ? (a) 33 (b) 32 (c) 30 (d) 31
  38. 38.What comes next? 60, 52, 44, 36, 28, ? (a) 20 (b) 19 (c) 12 (d) 21
  39. 39.What comes next? 4, 8, 13, 19, 26, ? (a) 34 (b) 36 (c) 35 (d) 33
  40. 40.What comes next? 27, 31, 35, 39, 43, ? (a) 48 (b) 46 (c) 51 (d) 47

Answer key

  1. 27
  2. 25
  3. 19
  4. 20
  5. 64
  6. 38
  7. 81
  8. 22
  9. 160
  10. 44
  11. 8
  12. 162
  13. 22
  14. 12
  15. 46
  16. 32
  17. 6
  18. 28
  19. 18
  20. 19
  21. 22
  22. 4
  23. 25
  24. 2
  25. 36
  26. 6
  27. 39
  28. 80
  29. 60
  30. 6
  31. 56
  32. 84
  33. 14
  34. 243
  35. 20
  36. 39
  37. 31
  38. 20
  39. 34
  40. 47

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