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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 279 · 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? 5, 10, 20, 40, 80, ? (a) 160 (b) 161 (c) 120 (d) 200
  2. 2.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 243 (c) 216 (d) 135
  3. 3.What comes next? 32, 26, 20, 14, 8, ? (a) 3 (b) 4 (c) 2 (d) 1
  4. 4.What comes next? 6, 14, 9, 17, 12, 20, ? (a) 15 (b) 28 (c) 14 (d) 25
  5. 5.What comes next? 15, 19, 23, 27, 31, ? (a) 39 (b) 34 (c) 36 (d) 35
  6. 6.What comes next? 3, 6, 10, 15, 21, ? (a) 27 (b) 30 (c) 29 (d) 28
  7. 7.What comes next? 31, 26, 21, 16, 11, ? (a) 5 (b) 7 (c) 1 (d) 6
  8. 8.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 80 (c) 48 (d) 64
  9. 9.What comes next? 19, 21, 23, 25, 27, ? (a) 28 (b) 31 (c) 30 (d) 29
  10. 10.What comes next? 14, 17, 21, 26, 32, ? (a) 40 (b) 39 (c) 38 (d) 41
  11. 11.What comes next? 7, 9, 12, 16, 21, ? (a) 26 (b) 28 (c) 29 (d) 27
  12. 12.What comes next? 1, 5, 3, 7, 5, 9, ? (a) 7 (b) 11 (c) 6 (d) 13
  13. 13.What comes next? 4, 5, 7, 10, 14, ? (a) 21 (b) 19 (c) 20 (d) 18
  14. 14.What comes next? 2, 9, 4, 11, 6, 13, ? (a) 7 (b) 8 (c) 18 (d) 20
  15. 15.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 81 (c) 45 (d) 90
  16. 16.What comes next? 1, 4, 8, 13, 19, ? (a) 26 (b) 28 (c) 27 (d) 25
  17. 17.What comes next? 1, 8, 2, 9, 3, 10, ? (a) 4 (b) 16 (c) 3 (d) 17
  18. 18.What comes next? 39, 35, 31, 27, 23, ? (a) 19 (b) 15 (c) 18 (d) 20
  19. 19.What comes next? 4, 7, 10, 13, 16, ? (a) 18 (b) 20 (c) 19 (d) 22
  20. 20.What comes next? 1, 8, 4, 11, 7, 14, ? (a) 9 (b) 18 (c) 21 (d) 10
  21. 21.What comes next? 13, 16, 15, 18, 17, 20, ? (a) 23 (b) 18 (c) 21 (d) 19
  22. 22.What comes next? 7, 15, 23, 31, 39, ? (a) 48 (b) 55 (c) 46 (d) 47
  23. 23.What comes next? 7, 11, 15, 19, 23, ? (a) 31 (b) 26 (c) 28 (d) 27
  24. 24.What comes next? 24, 34, 44, 54, 64, ? (a) 74 (b) 75 (c) 84 (d) 73
  25. 25.What comes next? 15, 26, 37, 48, 59, ? (a) 69 (b) 71 (c) 70 (d) 81
  26. 26.What comes next? 4, 9, 7, 12, 10, 15, ? (a) 20 (b) 17 (c) 13 (d) 12
  27. 27.What comes next? 3, 9, 8, 14, 13, 19, ? (a) 25 (b) 20 (c) 17 (d) 18
  28. 28.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 120 (c) 97 (d) 96
  29. 29.What comes next? 54, 45, 36, 27, 18, ? (a) 11 (b) 10 (c) 9 (d) 8
  30. 30.What comes next? 26, 30, 34, 38, 42, ? (a) 50 (b) 47 (c) 45 (d) 46
  31. 31.What comes next? 6, 13, 20, 27, 34, ? (a) 48 (b) 41 (c) 42 (d) 40
  32. 32.What comes next? 28, 39, 50, 61, 72, ? (a) 94 (b) 84 (c) 82 (d) 83
  33. 33.What comes next? 14, 24, 34, 44, 54, ? (a) 74 (b) 64 (c) 63 (d) 65
  34. 34.What comes next? 10, 13, 11, 14, 12, 15, ? (a) 13 (b) 12 (c) 17 (d) 18
  35. 35.What comes next? 16, 25, 18, 27, 20, 29, ? (a) 36 (b) 38 (c) 21 (d) 22
  36. 36.What comes next? 40, 38, 36, 34, 32, ? (a) 28 (b) 29 (c) 31 (d) 30
  37. 37.What comes next? 21, 17, 13, 9, 5, ? (a) 3 (b) 1 (c) 2 (d) 4
  38. 38.What comes next? 13, 15, 18, 22, 27, ? (a) 34 (b) 35 (c) 32 (d) 33
  39. 39.What comes next? 49, 42, 35, 28, 21, ? (a) 15 (b) 7 (c) 14 (d) 13
  40. 40.What comes next? 53, 47, 41, 35, 29, ? (a) 17 (b) 22 (c) 24 (d) 23

Answer key

  1. 160
  2. 243
  3. 2
  4. 15
  5. 35
  6. 28
  7. 6
  8. 64
  9. 29
  10. 39
  11. 27
  12. 7
  13. 19
  14. 8
  15. 81
  16. 26
  17. 4
  18. 19
  19. 19
  20. 10
  21. 19
  22. 47
  23. 27
  24. 74
  25. 70
  26. 13
  27. 18
  28. 96
  29. 9
  30. 46
  31. 41
  32. 83
  33. 64
  34. 13
  35. 22
  36. 30
  37. 1
  38. 33
  39. 14
  40. 23

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