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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 421 · 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? 8, 11, 15, 20, 26, ? (a) 35 (b) 34 (c) 32 (d) 33
  2. 2.What comes next? 21, 26, 31, 36, 41, ? (a) 51 (b) 47 (c) 46 (d) 45
  3. 3.What comes next? 8, 14, 13, 19, 18, 24, ? (a) 25 (b) 23 (c) 22 (d) 30
  4. 4.What comes next? 18, 30, 42, 54, 66, ? (a) 78 (b) 77 (c) 79 (d) 90
  5. 5.What comes next? 25, 23, 21, 19, 17, ? (a) 14 (b) 15 (c) 13 (d) 16
  6. 6.What comes next? 8, 11, 14, 17, 20, ? (a) 26 (b) 24 (c) 22 (d) 23
  7. 7.What comes next? 2, 3, 5, 8, 12, ? (a) 16 (b) 19 (c) 18 (d) 17
  8. 8.What comes next? 7, 8, 10, 13, 17, ? (a) 21 (b) 24 (c) 23 (d) 22
  9. 9.What comes next? 18, 16, 14, 12, 10, ? (a) 6 (b) 7 (c) 9 (d) 8
  10. 10.What comes next? 60, 51, 42, 33, 24, ? (a) 6 (b) 14 (c) 15 (d) 16
  11. 11.What comes next? 9, 13, 18, 24, 31, ? (a) 41 (b) 40 (c) 38 (d) 39
  12. 12.What comes next? 19, 25, 24, 30, 29, 35, ? (a) 36 (b) 34 (c) 33 (d) 41
  13. 13.What comes next? 4, 8, 13, 19, 26, ? (a) 36 (b) 35 (c) 34 (d) 33
  14. 14.What comes next? 8, 20, 32, 44, 56, ? (a) 80 (b) 68 (c) 69 (d) 67
  15. 15.What comes next? 8, 9, 11, 14, 18, ? (a) 23 (b) 25 (c) 24 (d) 22
  16. 16.What comes next? 10, 13, 17, 22, 28, ? (a) 37 (b) 35 (c) 34 (d) 36
  17. 17.What comes next? 17, 29, 41, 53, 65, ? (a) 89 (b) 77 (c) 78 (d) 76
  18. 18.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 81 (c) 72 (d) 45
  19. 19.What comes next? 3, 5, 7, 9, 11, ? (a) 14 (b) 15 (c) 12 (d) 13
  20. 20.What comes next? 36, 33, 30, 27, 24, ? (a) 18 (b) 20 (c) 21 (d) 22
  21. 21.What comes next? 4, 6, 9, 13, 18, ? (a) 25 (b) 23 (c) 24 (d) 26
  22. 22.What comes next? 38, 31, 24, 17, 10, ? (a) 4 (b) 3 (c) 5 (d) 2
  23. 23.What comes next? 12, 21, 30, 39, 48, ? (a) 66 (b) 58 (c) 57 (d) 56
  24. 24.What comes next? 12, 21, 14, 23, 16, 25, ? (a) 18 (b) 32 (c) 17 (d) 34
  25. 25.What comes next? 61, 53, 45, 37, 29, ? (a) 21 (b) 20 (c) 13 (d) 22
  26. 26.What comes next? 6, 7, 9, 12, 16, ? (a) 20 (b) 22 (c) 21 (d) 23
  27. 27.What comes next? 25, 37, 49, 61, 73, ? (a) 97 (b) 86 (c) 84 (d) 85
  28. 28.What comes next? 7, 10, 14, 19, 25, ? (a) 31 (b) 34 (c) 33 (d) 32
  29. 29.What comes next? 27, 31, 35, 39, 43, ? (a) 47 (b) 51 (c) 46 (d) 48
  30. 30.What comes next? 16, 17, 19, 22, 26, ? (a) 31 (b) 33 (c) 32 (d) 30
  31. 31.What comes next? 41, 35, 29, 23, 17, ? (a) 10 (b) 11 (c) 5 (d) 12
  32. 32.What comes next? 12, 10, 8, 6, 4, ? (a) 1 (b) 4 (c) 3 (d) 2
  33. 33.What comes next? 13, 11, 9, 7, 5, ? (a) 3 (b) 2 (c) 4 (d) 1
  34. 34.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 193 (c) 144 (d) 192
  35. 35.What comes next? 14, 18, 22, 26, 30, ? (a) 38 (b) 35 (c) 33 (d) 34
  36. 36.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 216 (c) 243 (d) 270
  37. 37.What comes next? 13, 21, 20, 28, 27, 35, ? (a) 36 (b) 34 (c) 33 (d) 43
  38. 38.What comes next? 19, 26, 33, 40, 47, ? (a) 53 (b) 54 (c) 61 (d) 55
  39. 39.What comes next? 8, 14, 20, 26, 32, ? (a) 39 (b) 44 (c) 38 (d) 37
  40. 40.What comes next? 14, 22, 30, 38, 46, ? (a) 53 (b) 62 (c) 54 (d) 55

Answer key

  1. 33
  2. 46
  3. 23
  4. 78
  5. 15
  6. 23
  7. 17
  8. 22
  9. 8
  10. 15
  11. 39
  12. 34
  13. 34
  14. 68
  15. 23
  16. 35
  17. 77
  18. 81
  19. 13
  20. 21
  21. 24
  22. 3
  23. 57
  24. 18
  25. 21
  26. 21
  27. 85
  28. 32
  29. 47
  30. 31
  31. 11
  32. 2
  33. 3
  34. 192
  35. 34
  36. 243
  37. 34
  38. 54
  39. 38
  40. 54

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