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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 766 · 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? 4, 8, 16, 32, 64, ? (a) 96 (b) 129 (c) 160 (d) 128
  2. 2.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 72 (c) 81 (d) 90
  3. 3.What comes next? 7, 11, 9, 13, 11, 15, ? (a) 17 (b) 13 (c) 12 (d) 19
  4. 4.What comes next? 20, 17, 14, 11, 8, ? (a) 6 (b) 4 (c) 2 (d) 5
  5. 5.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 180 (c) 144 (d) 162
  6. 6.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 160 (c) 200 (d) 120
  7. 7.What comes next? 75, 66, 57, 48, 39, ? (a) 21 (b) 31 (c) 29 (d) 30
  8. 8.What comes next? 10, 16, 22, 28, 34, ? (a) 41 (b) 40 (c) 39 (d) 46
  9. 9.What comes next? 33, 28, 23, 18, 13, ? (a) 9 (b) 8 (c) 3 (d) 7
  10. 10.What comes next? 45, 39, 33, 27, 21, ? (a) 15 (b) 14 (c) 9 (d) 16
  11. 11.What comes next? 13, 18, 16, 21, 19, 24, ? (a) 26 (b) 22 (c) 21 (d) 29
  12. 12.What comes next? 47, 39, 31, 23, 15, ? (a) 9 (b) 7 (c) 8 (d) 6
  13. 13.What comes next? 42, 39, 36, 33, 30, ? (a) 24 (b) 26 (c) 27 (d) 28
  14. 14.What comes next? 2, 7, 12, 17, 22, ? (a) 32 (b) 28 (c) 27 (d) 26
  15. 15.What comes next? 2, 7, 3, 8, 4, 9, ? (a) 4 (b) 14 (c) 5 (d) 13
  16. 16.What comes next? 20, 25, 24, 29, 28, 33, ? (a) 32 (b) 31 (c) 34 (d) 38
  17. 17.What comes next? 1, 2, 4, 7, 11, ? (a) 18 (b) 17 (c) 16 (d) 15
  18. 18.What comes next? 4, 12, 7, 15, 10, 18, ? (a) 23 (b) 13 (c) 12 (d) 26
  19. 19.What comes next? 25, 34, 43, 52, 61, ? (a) 69 (b) 70 (c) 79 (d) 71
  20. 20.What comes next? 16, 20, 19, 23, 22, 26, ? (a) 25 (b) 30 (c) 27 (d) 24
  21. 21.What comes next? 7, 14, 21, 28, 35, ? (a) 41 (b) 42 (c) 49 (d) 43
  22. 22.What comes next? 19, 23, 21, 25, 23, 27, ? (a) 25 (b) 24 (c) 29 (d) 31
  23. 23.What comes next? 51, 42, 33, 24, 15, ? (a) 6 (b) 7 (c) 8 (d) 5
  24. 24.What comes next? 41, 36, 31, 26, 21, ? (a) 11 (b) 16 (c) 17 (d) 15
  25. 25.What comes next? 11, 23, 35, 47, 59, ? (a) 70 (b) 71 (c) 83 (d) 72
  26. 26.What comes next? 43, 39, 35, 31, 27, ? (a) 19 (b) 24 (c) 22 (d) 23
  27. 27.What comes next? 3, 4, 6, 9, 13, ? (a) 19 (b) 18 (c) 17 (d) 20
  28. 28.What comes next? 10, 12, 15, 19, 24, ? (a) 29 (b) 32 (c) 31 (d) 30
  29. 29.What comes next? 60, 54, 48, 42, 36, ? (a) 29 (b) 31 (c) 30 (d) 24
  30. 30.What comes next? 36, 33, 30, 27, 24, ? (a) 22 (b) 20 (c) 21 (d) 18
  31. 31.What comes next? 14, 23, 19, 28, 24, 33, ? (a) 28 (b) 37 (c) 42 (d) 29
  32. 32.What comes next? 9, 13, 17, 21, 25, ? (a) 33 (b) 28 (c) 29 (d) 30
  33. 33.What comes next? 47, 42, 37, 32, 27, ? (a) 23 (b) 17 (c) 22 (d) 21
  34. 34.What comes next? 13, 15, 18, 22, 27, ? (a) 35 (b) 33 (c) 32 (d) 34
  35. 35.What comes next? 4, 7, 11, 16, 22, ? (a) 31 (b) 28 (c) 30 (d) 29
  36. 36.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 48 (c) 64 (d) 80
  37. 37.What comes next? 12, 17, 14, 19, 16, 21, ? (a) 17 (b) 26 (c) 24 (d) 18
  38. 38.What comes next? 24, 21, 18, 15, 12, ? (a) 10 (b) 6 (c) 9 (d) 8
  39. 39.What comes next? 29, 34, 39, 44, 49, ? (a) 59 (b) 55 (c) 54 (d) 53
  40. 40.What comes next? 62, 54, 46, 38, 30, ? (a) 21 (b) 14 (c) 23 (d) 22

Answer key

  1. 128
  2. 81
  3. 13
  4. 5
  5. 162
  6. 160
  7. 30
  8. 40
  9. 8
  10. 15
  11. 22
  12. 7
  13. 27
  14. 27
  15. 5
  16. 32
  17. 16
  18. 13
  19. 70
  20. 25
  21. 42
  22. 25
  23. 6
  24. 16
  25. 71
  26. 23
  27. 18
  28. 30
  29. 30
  30. 21
  31. 29
  32. 29
  33. 22
  34. 33
  35. 29
  36. 64
  37. 18
  38. 9
  39. 54
  40. 22

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