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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 924 · 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? 6, 7, 9, 12, 16, ? (a) 20 (b) 22 (c) 23 (d) 21
  2. 2.What comes next? 11, 15, 20, 26, 33, ? (a) 40 (b) 41 (c) 42 (d) 43
  3. 3.What comes next? 17, 15, 13, 11, 9, ? (a) 6 (b) 5 (c) 7 (d) 8
  4. 4.What comes next? 2, 10, 18, 26, 34, ? (a) 43 (b) 42 (c) 50 (d) 41
  5. 5.What comes next? 10, 17, 24, 31, 38, ? (a) 52 (b) 44 (c) 46 (d) 45
  6. 6.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 129 (c) 160 (d) 128
  7. 7.What comes next? 10, 13, 17, 22, 28, ? (a) 37 (b) 35 (c) 36 (d) 34
  8. 8.What comes next? 5, 9, 7, 11, 9, 13, ? (a) 11 (b) 15 (c) 17 (d) 10
  9. 9.What comes next? 1, 7, 2, 8, 3, 9, ? (a) 14 (b) 4 (c) 3 (d) 15
  10. 10.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 90 (c) 81 (d) 45
  11. 11.What comes next? 31, 26, 21, 16, 11, ? (a) 6 (b) 5 (c) 1 (d) 7
  12. 12.What comes next? 9, 13, 18, 24, 31, ? (a) 40 (b) 39 (c) 41 (d) 38
  13. 13.What comes next? 6, 12, 8, 14, 10, 16, ? (a) 11 (b) 22 (c) 20 (d) 12
  14. 14.What comes next? 2, 6, 10, 14, 18, ? (a) 26 (b) 21 (c) 22 (d) 23
  15. 15.What comes next? 21, 18, 15, 12, 9, ? (a) 3 (b) 6 (c) 5 (d) 7
  16. 16.What comes next? 34, 30, 26, 22, 18, ? (a) 15 (b) 10 (c) 14 (d) 13
  17. 17.What comes next? 19, 23, 27, 31, 35, ? (a) 39 (b) 40 (c) 43 (d) 38
  18. 18.What comes next? 13, 16, 20, 25, 31, ? (a) 37 (b) 38 (c) 40 (d) 39
  19. 19.What comes next? 41, 38, 35, 32, 29, ? (a) 26 (b) 27 (c) 23 (d) 25
  20. 20.What comes next? 5, 9, 14, 20, 27, ? (a) 37 (b) 35 (c) 36 (d) 34
  21. 21.What comes next? 3, 6, 5, 8, 7, 10, ? (a) 9 (b) 13 (c) 11 (d) 8
  22. 22.What comes next? 13, 17, 22, 28, 35, ? (a) 43 (b) 42 (c) 44 (d) 45
  23. 23.What comes next? 10, 14, 18, 22, 26, ? (a) 30 (b) 31 (c) 29 (d) 34
  24. 24.What comes next? 30, 34, 38, 42, 46, ? (a) 49 (b) 51 (c) 50 (d) 54
  25. 25.What comes next? 12, 15, 14, 17, 16, 19, ? (a) 17 (b) 22 (c) 18 (d) 20
  26. 26.What comes next? 24, 36, 48, 60, 72, ? (a) 84 (b) 85 (c) 96 (d) 83
  27. 27.What comes next? 11, 13, 15, 17, 19, ? (a) 20 (b) 21 (c) 22 (d) 23
  28. 28.What comes next? 20, 23, 27, 32, 38, ? (a) 46 (b) 44 (c) 47 (d) 45
  29. 29.What comes next? 44, 36, 28, 20, 12, ? (a) 3 (b) 5 (c) 6 (d) 4
  30. 30.What comes next? 27, 30, 33, 36, 39, ? (a) 43 (b) 41 (c) 42 (d) 45
  31. 31.What comes next? 12, 21, 17, 26, 22, 31, ? (a) 27 (b) 40 (c) 26 (d) 35
  32. 32.What comes next? 15, 21, 27, 33, 39, ? (a) 44 (b) 51 (c) 45 (d) 46
  33. 33.What comes next? 7, 11, 15, 19, 23, ? (a) 27 (b) 26 (c) 28 (d) 31
  34. 34.What comes next? 9, 11, 14, 18, 23, ? (a) 30 (b) 31 (c) 28 (d) 29
  35. 35.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 97 (c) 96 (d) 72
  36. 36.What comes next? 3, 12, 4, 13, 5, 14, ? (a) 23 (b) 22 (c) 6 (d) 5
  37. 37.What comes next? 9, 10, 12, 15, 19, ? (a) 26 (b) 24 (c) 23 (d) 25
  38. 38.What comes next? 26, 37, 48, 59, 70, ? (a) 80 (b) 81 (c) 92 (d) 82
  39. 39.What comes next? 8, 13, 18, 23, 28, ? (a) 32 (b) 33 (c) 38 (d) 34
  40. 40.What comes next? 23, 20, 17, 14, 11, ? (a) 5 (b) 7 (c) 8 (d) 9

Answer key

  1. 21
  2. 41
  3. 7
  4. 42
  5. 45
  6. 128
  7. 35
  8. 11
  9. 4
  10. 81
  11. 6
  12. 39
  13. 12
  14. 22
  15. 6
  16. 14
  17. 39
  18. 38
  19. 26
  20. 35
  21. 9
  22. 43
  23. 30
  24. 50
  25. 18
  26. 84
  27. 21
  28. 45
  29. 4
  30. 42
  31. 27
  32. 45
  33. 27
  34. 29
  35. 96
  36. 6
  37. 24
  38. 81
  39. 33
  40. 8

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