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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 979 · 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? 16, 22, 18, 24, 20, 26, ? (a) 32 (b) 21 (c) 30 (d) 22
  2. 2.What comes next? 18, 22, 20, 24, 22, 26, ? (a) 30 (b) 24 (c) 23 (d) 28
  3. 3.What comes next? 10, 13, 11, 14, 12, 15, ? (a) 13 (b) 12 (c) 17 (d) 18
  4. 4.What comes next? 3, 6, 9, 12, 15, ? (a) 19 (b) 17 (c) 21 (d) 18
  5. 5.What comes next? 19, 20, 22, 25, 29, ? (a) 36 (b) 33 (c) 35 (d) 34
  6. 6.What comes next? 6, 8, 10, 12, 14, ? (a) 16 (b) 17 (c) 15 (d) 18
  7. 7.What comes next? 12, 14, 17, 21, 26, ? (a) 33 (b) 31 (c) 34 (d) 32
  8. 8.What comes next? 16, 19, 17, 20, 18, 21, ? (a) 18 (b) 23 (c) 24 (d) 19
  9. 9.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 90 (c) 81 (d) 45
  10. 10.What comes next? 4, 9, 5, 10, 6, 11, ? (a) 6 (b) 7 (c) 16 (d) 15
  11. 11.What comes next? 19, 28, 24, 33, 29, 38, ? (a) 33 (b) 34 (c) 47 (d) 42
  12. 12.What comes next? 8, 16, 15, 23, 22, 30, ? (a) 31 (b) 28 (c) 29 (d) 38
  13. 13.What comes next? 20, 30, 40, 50, 60, ? (a) 71 (b) 70 (c) 80 (d) 69
  14. 14.What comes next? 18, 16, 14, 12, 10, ? (a) 7 (b) 6 (c) 8 (d) 9
  15. 15.What comes next? 6, 8, 11, 15, 20, ? (a) 27 (b) 26 (c) 25 (d) 28
  16. 16.What comes next? 66, 57, 48, 39, 30, ? (a) 22 (b) 20 (c) 12 (d) 21
  17. 17.What comes next? 17, 22, 20, 25, 23, 28, ? (a) 30 (b) 33 (c) 26 (d) 25
  18. 18.What comes next? 48, 42, 36, 30, 24, ? (a) 12 (b) 18 (c) 17 (d) 19
  19. 19.What comes next? 27, 35, 43, 51, 59, ? (a) 75 (b) 67 (c) 66 (d) 68
  20. 20.What comes next? 24, 22, 20, 18, 16, ? (a) 15 (b) 14 (c) 13 (d) 12
  21. 21.What comes next? 8, 12, 17, 23, 30, ? (a) 40 (b) 37 (c) 39 (d) 38
  22. 22.What comes next? 19, 27, 20, 28, 21, 29, ? (a) 22 (b) 21 (c) 36 (d) 37
  23. 23.What comes next? 6, 10, 15, 21, 28, ? (a) 35 (b) 36 (c) 38 (d) 37
  24. 24.What comes next? 12, 21, 19, 28, 26, 35, ? (a) 32 (b) 37 (c) 44 (d) 33
  25. 25.What comes next? 7, 15, 23, 31, 39, ? (a) 46 (b) 55 (c) 48 (d) 47
  26. 26.What comes next? 3, 11, 4, 12, 5, 13, ? (a) 5 (b) 20 (c) 6 (d) 21
  27. 27.What comes next? 13, 18, 15, 20, 17, 22, ? (a) 27 (b) 25 (c) 18 (d) 19
  28. 28.What comes next? 39, 37, 35, 33, 31, ? (a) 28 (b) 27 (c) 30 (d) 29
  29. 29.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 96 (c) 72 (d) 97
  30. 30.What comes next? 3, 12, 11, 20, 19, 28, ? (a) 26 (b) 27 (c) 37 (d) 29
  31. 31.What comes next? 13, 18, 14, 19, 15, 20, ? (a) 25 (b) 24 (c) 15 (d) 16
  32. 32.What comes next? 12, 13, 15, 18, 22, ? (a) 26 (b) 28 (c) 29 (d) 27
  33. 33.What comes next? 27, 22, 17, 12, 7, ? (a) 2 (b) 1 (c) 3 (d) 4
  34. 34.What comes next? 11, 13, 16, 20, 25, ? (a) 31 (b) 33 (c) 32 (d) 30
  35. 35.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 144 (c) 162 (d) 90
  36. 36.What comes next? 1, 9, 5, 13, 9, 17, ? (a) 12 (b) 13 (c) 21 (d) 25
  37. 37.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 129 (c) 128 (d) 96
  38. 38.What comes next? 19, 21, 23, 25, 27, ? (a) 30 (b) 28 (c) 29 (d) 31
  39. 39.What comes next? 17, 21, 19, 23, 21, 25, ? (a) 22 (b) 23 (c) 29 (d) 27
  40. 40.What comes next? 18, 24, 21, 27, 24, 30, ? (a) 33 (b) 27 (c) 36 (d) 26

Answer key

  1. 22
  2. 24
  3. 13
  4. 18
  5. 34
  6. 16
  7. 32
  8. 19
  9. 81
  10. 7
  11. 34
  12. 29
  13. 70
  14. 8
  15. 26
  16. 21
  17. 26
  18. 18
  19. 67
  20. 14
  21. 38
  22. 22
  23. 36
  24. 33
  25. 47
  26. 6
  27. 19
  28. 29
  29. 96
  30. 27
  31. 16
  32. 27
  33. 2
  34. 31
  35. 162
  36. 13
  37. 128
  38. 29
  39. 23
  40. 27

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