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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 525 · 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? 7, 17, 27, 37, 47, ? (a) 67 (b) 58 (c) 56 (d) 57
  2. 2.What comes next? 8, 14, 20, 26, 32, ? (a) 39 (b) 38 (c) 44 (d) 37
  3. 3.What comes next? 9, 13, 18, 24, 31, ? (a) 39 (b) 38 (c) 40 (d) 41
  4. 4.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 161 (c) 200 (d) 160
  5. 5.What comes next? 11, 21, 31, 41, 51, ? (a) 62 (b) 61 (c) 71 (d) 60
  6. 6.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 72 (c) 90 (d) 81
  7. 7.What comes next? 6, 10, 7, 11, 8, 12, ? (a) 15 (b) 8 (c) 16 (d) 9
  8. 8.What comes next? 19, 22, 21, 24, 23, 26, ? (a) 27 (b) 29 (c) 24 (d) 25
  9. 9.What comes next? 10, 12, 14, 16, 18, ? (a) 22 (b) 19 (c) 20 (d) 21
  10. 10.What comes next? 28, 36, 44, 52, 60, ? (a) 68 (b) 69 (c) 67 (d) 76
  11. 11.What comes next? 13, 16, 15, 18, 17, 20, ? (a) 21 (b) 18 (c) 23 (d) 19
  12. 12.What comes next? 4, 5, 7, 10, 14, ? (a) 20 (b) 21 (c) 19 (d) 18
  13. 13.What comes next? 13, 15, 18, 22, 27, ? (a) 35 (b) 34 (c) 32 (d) 33
  14. 14.What comes next? 3, 7, 12, 18, 25, ? (a) 35 (b) 32 (c) 34 (d) 33
  15. 15.What comes next? 50, 42, 34, 26, 18, ? (a) 9 (b) 10 (c) 2 (d) 11
  16. 16.What comes next? 19, 21, 24, 28, 33, ? (a) 38 (b) 41 (c) 40 (d) 39
  17. 17.What comes next? 10, 21, 32, 43, 54, ? (a) 66 (b) 65 (c) 76 (d) 64
  18. 18.What comes next? 8, 14, 12, 18, 16, 22, ? (a) 24 (b) 19 (c) 28 (d) 20
  19. 19.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 64 (c) 48 (d) 65
  20. 20.What comes next? 13, 24, 35, 46, 57, ? (a) 68 (b) 79 (c) 67 (d) 69
  21. 21.What comes next? 25, 30, 35, 40, 45, ? (a) 50 (b) 49 (c) 51 (d) 55
  22. 22.What comes next? 23, 32, 41, 50, 59, ? (a) 77 (b) 68 (c) 69 (d) 67
  23. 23.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 270 (c) 243 (d) 135
  24. 24.What comes next? 5, 15, 25, 35, 45, ? (a) 55 (b) 54 (c) 56 (d) 65
  25. 25.What comes next? 3, 12, 21, 30, 39, ? (a) 47 (b) 49 (c) 48 (d) 57
  26. 26.What comes next? 9, 11, 14, 18, 23, ? (a) 31 (b) 28 (c) 30 (d) 29
  27. 27.What comes next? 3, 10, 4, 11, 5, 12, ? (a) 19 (b) 18 (c) 5 (d) 6
  28. 28.What comes next? 7, 10, 9, 12, 11, 14, ? (a) 13 (b) 17 (c) 15 (d) 12
  29. 29.What comes next? 4, 12, 20, 28, 36, ? (a) 52 (b) 45 (c) 43 (d) 44
  30. 30.What comes next? 51, 43, 35, 27, 19, ? (a) 12 (b) 11 (c) 10 (d) 3
  31. 31.What comes next? 3, 9, 15, 21, 27, ? (a) 33 (b) 32 (c) 34 (d) 39
  32. 32.What comes next? 31, 29, 27, 25, 23, ? (a) 19 (b) 22 (c) 21 (d) 20
  33. 33.What comes next? 14, 21, 20, 27, 26, 33, ? (a) 34 (b) 32 (c) 31 (d) 40
  34. 34.What comes next? 20, 25, 30, 35, 40, ? (a) 45 (b) 46 (c) 50 (d) 44
  35. 35.What comes next? 14, 17, 21, 26, 32, ? (a) 40 (b) 41 (c) 38 (d) 39
  36. 36.What comes next? 36, 33, 30, 27, 24, ? (a) 20 (b) 18 (c) 22 (d) 21
  37. 37.What comes next? 19, 25, 20, 26, 21, 27, ? (a) 32 (b) 21 (c) 22 (d) 33
  38. 38.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 96 (c) 129 (d) 128
  39. 39.What comes next? 13, 17, 22, 28, 35, ? (a) 45 (b) 44 (c) 42 (d) 43
  40. 40.What comes next? 45, 42, 39, 36, 33, ? (a) 27 (b) 30 (c) 31 (d) 29

Answer key

  1. 57
  2. 38
  3. 39
  4. 160
  5. 61
  6. 81
  7. 9
  8. 25
  9. 20
  10. 68
  11. 19
  12. 19
  13. 33
  14. 33
  15. 10
  16. 39
  17. 65
  18. 20
  19. 64
  20. 68
  21. 50
  22. 68
  23. 243
  24. 55
  25. 48
  26. 29
  27. 6
  28. 13
  29. 44
  30. 11
  31. 33
  32. 21
  33. 32
  34. 45
  35. 39
  36. 21
  37. 22
  38. 128
  39. 43
  40. 30

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