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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 264 · 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? 19, 20, 22, 25, 29, ? (a) 34 (b) 35 (c) 33 (d) 36
  2. 2.What comes next? 10, 19, 16, 25, 22, 31, ? (a) 40 (b) 28 (c) 34 (d) 27
  3. 3.What comes next? 14, 17, 21, 26, 32, ? (a) 39 (b) 40 (c) 41 (d) 38
  4. 4.What comes next? 27, 36, 45, 54, 63, ? (a) 81 (b) 72 (c) 73 (d) 71
  5. 5.What comes next? 8, 16, 14, 22, 20, 28, ? (a) 36 (b) 30 (c) 26 (d) 25
  6. 6.What comes next? 16, 14, 12, 10, 8, ? (a) 6 (b) 5 (c) 4 (d) 7
  7. 7.What comes next? 12, 15, 13, 16, 14, 17, ? (a) 19 (b) 14 (c) 15 (d) 20
  8. 8.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 160 (c) 96 (d) 129
  9. 9.What comes next? 7, 9, 11, 13, 15, ? (a) 18 (b) 19 (c) 17 (d) 16
  10. 10.What comes next? 48, 43, 38, 33, 28, ? (a) 24 (b) 18 (c) 22 (d) 23
  11. 11.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 200 (c) 160 (d) 120
  12. 12.What comes next? 25, 21, 17, 13, 9, ? (a) 4 (b) 1 (c) 5 (d) 6
  13. 13.What comes next? 4, 11, 5, 12, 6, 13, ? (a) 7 (b) 20 (c) 19 (d) 6
  14. 14.What comes next? 46, 41, 36, 31, 26, ? (a) 22 (b) 20 (c) 21 (d) 16
  15. 15.What comes next? 27, 29, 31, 33, 35, ? (a) 36 (b) 39 (c) 37 (d) 38
  16. 16.What comes next? 1, 8, 3, 10, 5, 12, ? (a) 19 (b) 6 (c) 7 (d) 17
  17. 17.What comes next? 10, 14, 19, 25, 32, ? (a) 42 (b) 39 (c) 41 (d) 40
  18. 18.What comes next? 25, 32, 39, 46, 53, ? (a) 67 (b) 60 (c) 59 (d) 61
  19. 19.What comes next? 4, 10, 16, 22, 28, ? (a) 35 (b) 34 (c) 33 (d) 40
  20. 20.What comes next? 6, 18, 30, 42, 54, ? (a) 78 (b) 67 (c) 66 (d) 65
  21. 21.What comes next? 18, 19, 21, 24, 28, ? (a) 32 (b) 35 (c) 34 (d) 33
  22. 22.What comes next? 8, 14, 20, 26, 32, ? (a) 39 (b) 44 (c) 37 (d) 38
  23. 23.What comes next? 2, 8, 3, 9, 4, 10, ? (a) 4 (b) 5 (c) 16 (d) 15
  24. 24.What comes next? 15, 23, 22, 30, 29, 37, ? (a) 45 (b) 38 (c) 35 (d) 36
  25. 25.What comes next? 33, 31, 29, 27, 25, ? (a) 21 (b) 23 (c) 22 (d) 24
  26. 26.What comes next? 15, 24, 17, 26, 19, 28, ? (a) 21 (b) 20 (c) 37 (d) 35
  27. 27.What comes next? 3, 7, 12, 18, 25, ? (a) 33 (b) 34 (c) 32 (d) 35
  28. 28.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 243 (c) 135 (d) 216
  29. 29.What comes next? 20, 27, 34, 41, 48, ? (a) 62 (b) 54 (c) 55 (d) 56
  30. 30.What comes next? 6, 13, 20, 27, 34, ? (a) 48 (b) 41 (c) 42 (d) 40
  31. 31.What comes next? 5, 10, 15, 20, 25, ? (a) 31 (b) 35 (c) 30 (d) 29
  32. 32.What comes next? 26, 34, 42, 50, 58, ? (a) 65 (b) 66 (c) 74 (d) 67
  33. 33.What comes next? 4, 11, 18, 25, 32, ? (a) 46 (b) 40 (c) 39 (d) 38
  34. 34.What comes next? 29, 32, 35, 38, 41, ? (a) 47 (b) 43 (c) 44 (d) 45
  35. 35.What comes next? 7, 9, 12, 16, 21, ? (a) 28 (b) 26 (c) 29 (d) 27
  36. 36.What comes next? 15, 19, 24, 30, 37, ? (a) 44 (b) 45 (c) 46 (d) 47
  37. 37.What comes next? 33, 29, 25, 21, 17, ? (a) 12 (b) 14 (c) 9 (d) 13
  38. 38.What comes next? 20, 23, 21, 24, 22, 25, ? (a) 27 (b) 28 (c) 23 (d) 22
  39. 39.What comes next? 3, 8, 13, 18, 23, ? (a) 33 (b) 29 (c) 28 (d) 27
  40. 40.What comes next? 29, 25, 21, 17, 13, ? (a) 8 (b) 5 (c) 10 (d) 9

Answer key

  1. 34
  2. 28
  3. 39
  4. 72
  5. 26
  6. 6
  7. 15
  8. 128
  9. 17
  10. 23
  11. 160
  12. 5
  13. 7
  14. 21
  15. 37
  16. 7
  17. 40
  18. 60
  19. 34
  20. 66
  21. 33
  22. 38
  23. 5
  24. 36
  25. 23
  26. 21
  27. 33
  28. 243
  29. 55
  30. 41
  31. 30
  32. 66
  33. 39
  34. 44
  35. 27
  36. 45
  37. 13
  38. 23
  39. 28
  40. 9

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