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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 223 · 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, 14, 10, 16, 12, 18, ? (a) 24 (b) 14 (c) 13 (d) 22
  2. 2.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 144 (c) 180 (d) 162
  3. 3.What comes next? 19, 21, 23, 25, 27, ? (a) 30 (b) 29 (c) 31 (d) 28
  4. 4.What comes next? 16, 20, 25, 31, 38, ? (a) 48 (b) 46 (c) 47 (d) 45
  5. 5.What comes next? 13, 19, 15, 21, 17, 23, ? (a) 29 (b) 18 (c) 27 (d) 19
  6. 6.What comes next? 1, 5, 3, 7, 5, 9, ? (a) 13 (b) 6 (c) 11 (d) 7
  7. 7.What comes next? 9, 12, 16, 21, 27, ? (a) 36 (b) 35 (c) 34 (d) 33
  8. 8.What comes next? 40, 33, 26, 19, 12, ? (a) 7 (b) 6 (c) 5 (d) 4
  9. 9.What comes next? 7, 9, 12, 16, 21, ? (a) 29 (b) 27 (c) 26 (d) 28
  10. 10.What comes next? 13, 16, 15, 18, 17, 20, ? (a) 19 (b) 23 (c) 21 (d) 18
  11. 11.What comes next? 14, 18, 23, 29, 36, ? (a) 45 (b) 43 (c) 44 (d) 46
  12. 12.What comes next? 17, 20, 24, 29, 35, ? (a) 43 (b) 44 (c) 42 (d) 41
  13. 13.What comes next? 38, 31, 24, 17, 10, ? (a) 4 (b) 5 (c) 3 (d) 2
  14. 14.What comes next? 43, 35, 27, 19, 11, ? (a) 2 (b) 5 (c) 3 (d) 4
  15. 15.What comes next? 29, 40, 51, 62, 73, ? (a) 85 (b) 84 (c) 95 (d) 83
  16. 16.What comes next? 18, 26, 21, 29, 24, 32, ? (a) 40 (b) 27 (c) 26 (d) 37
  17. 17.What comes next? 12, 20, 14, 22, 16, 24, ? (a) 32 (b) 17 (c) 30 (d) 18
  18. 18.What comes next? 4, 14, 24, 34, 44, ? (a) 54 (b) 53 (c) 55 (d) 64
  19. 19.What comes next? 60, 51, 42, 33, 24, ? (a) 16 (b) 15 (c) 14 (d) 6
  20. 20.What comes next? 12, 14, 17, 21, 26, ? (a) 31 (b) 33 (c) 34 (d) 32
  21. 21.What comes next? 37, 31, 25, 19, 13, ? (a) 8 (b) 7 (c) 6 (d) 1
  22. 22.What comes next? 5, 6, 8, 11, 15, ? (a) 19 (b) 21 (c) 22 (d) 20
  23. 23.What comes next? 41, 38, 35, 32, 29, ? (a) 27 (b) 23 (c) 25 (d) 26
  24. 24.What comes next? 7, 12, 11, 16, 15, 20, ? (a) 18 (b) 19 (c) 21 (d) 25
  25. 25.What comes next? 50, 41, 32, 23, 14, ? (a) 7 (b) 4 (c) 5 (d) 6
  26. 26.What comes next? 8, 12, 16, 20, 24, ? (a) 29 (b) 32 (c) 28 (d) 27
  27. 27.What comes next? 63, 56, 49, 42, 35, ? (a) 27 (b) 29 (c) 28 (d) 21
  28. 28.What comes next? 19, 23, 27, 31, 35, ? (a) 39 (b) 40 (c) 38 (d) 43
  29. 29.What comes next? 3, 10, 8, 15, 13, 20, ? (a) 17 (b) 18 (c) 27 (d) 22
  30. 30.What comes next? 36, 31, 26, 21, 16, ? (a) 10 (b) 12 (c) 6 (d) 11
  31. 31.What comes next? 22, 29, 36, 43, 50, ? (a) 57 (b) 64 (c) 56 (d) 58
  32. 32.What comes next? 74, 65, 56, 47, 38, ? (a) 29 (b) 30 (c) 28 (d) 20
  33. 33.What comes next? 24, 20, 16, 12, 8, ? (a) 4 (b) 6 (c) 5 (d) 3
  34. 34.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 270 (c) 243 (d) 216
  35. 35.What comes next? 38, 32, 26, 20, 14, ? (a) 2 (b) 7 (c) 9 (d) 8
  36. 36.What comes next? 44, 41, 38, 35, 32, ? (a) 28 (b) 29 (c) 26 (d) 30
  37. 37.What comes next? 15, 17, 20, 24, 29, ? (a) 34 (b) 36 (c) 35 (d) 37
  38. 38.What comes next? 6, 11, 7, 12, 8, 13, ? (a) 17 (b) 18 (c) 8 (d) 9
  39. 39.What comes next? 14, 15, 17, 20, 24, ? (a) 28 (b) 29 (c) 31 (d) 30
  40. 40.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 81 (c) 72 (d) 45

Answer key

  1. 14
  2. 162
  3. 29
  4. 46
  5. 19
  6. 7
  7. 34
  8. 5
  9. 27
  10. 19
  11. 44
  12. 42
  13. 3
  14. 3
  15. 84
  16. 27
  17. 18
  18. 54
  19. 15
  20. 32
  21. 7
  22. 20
  23. 26
  24. 19
  25. 5
  26. 28
  27. 28
  28. 39
  29. 18
  30. 11
  31. 57
  32. 29
  33. 4
  34. 243
  35. 8
  36. 29
  37. 35
  38. 9
  39. 29
  40. 81

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