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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 808 · 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, 10, 15, 21, 28, ? (a) 38 (b) 35 (c) 37 (d) 36
  2. 2.What comes next? 36, 32, 28, 24, 20, ? (a) 17 (b) 12 (c) 15 (d) 16
  3. 3.What comes next? 41, 33, 25, 17, 9, ? (a) 4 (b) 2 (c) 3 (d) 1
  4. 4.What comes next? 3, 8, 13, 18, 23, ? (a) 27 (b) 28 (c) 29 (d) 33
  5. 5.What comes next? 9, 12, 16, 21, 27, ? (a) 36 (b) 35 (c) 33 (d) 34
  6. 6.What comes next? 14, 18, 22, 26, 30, ? (a) 38 (b) 34 (c) 35 (d) 33
  7. 7.What comes next? 11, 19, 12, 20, 13, 21, ? (a) 29 (b) 28 (c) 14 (d) 13
  8. 8.What comes next? 7, 10, 8, 11, 9, 12, ? (a) 14 (b) 9 (c) 15 (d) 10
  9. 9.What comes next? 2, 5, 3, 6, 4, 7, ? (a) 5 (b) 9 (c) 4 (d) 10
  10. 10.What comes next? 20, 26, 23, 29, 26, 32, ? (a) 38 (b) 28 (c) 35 (d) 29
  11. 11.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 32 (c) 24 (d) 40
  12. 12.What comes next? 37, 31, 25, 19, 13, ? (a) 7 (b) 8 (c) 6 (d) 1
  13. 13.What comes next? 12, 16, 14, 18, 16, 20, ? (a) 22 (b) 24 (c) 18 (d) 17
  14. 14.What comes next? 24, 36, 48, 60, 72, ? (a) 84 (b) 85 (c) 83 (d) 96
  15. 15.What comes next? 17, 20, 18, 21, 19, 22, ? (a) 19 (b) 24 (c) 25 (d) 20
  16. 16.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 160 (c) 96 (d) 128
  17. 17.What comes next? 11, 16, 13, 18, 15, 20, ? (a) 16 (b) 23 (c) 17 (d) 25
  18. 18.What comes next? 8, 15, 10, 17, 12, 19, ? (a) 26 (b) 24 (c) 14 (d) 13
  19. 19.What comes next? 18, 20, 22, 24, 26, ? (a) 28 (b) 27 (c) 30 (d) 29
  20. 20.What comes next? 51, 42, 33, 24, 15, ? (a) 5 (b) 6 (c) 8 (d) 7
  21. 21.What comes next? 10, 17, 15, 22, 20, 27, ? (a) 24 (b) 25 (c) 34 (d) 29
  22. 22.What comes next? 10, 17, 12, 19, 14, 21, ? (a) 16 (b) 15 (c) 26 (d) 28
  23. 23.What comes next? 12, 16, 13, 17, 14, 18, ? (a) 22 (b) 15 (c) 21 (d) 14
  24. 24.What comes next? 10, 19, 28, 37, 46, ? (a) 56 (b) 64 (c) 54 (d) 55
  25. 25.What comes next? 43, 35, 27, 19, 11, ? (a) 2 (b) 4 (c) 3 (d) 5
  26. 26.What comes next? 2, 4, 6, 8, 10, ? (a) 14 (b) 12 (c) 11 (d) 13
  27. 27.What comes next? 3, 7, 6, 10, 9, 13, ? (a) 14 (b) 12 (c) 11 (d) 17
  28. 28.What comes next? 5, 17, 29, 41, 53, ? (a) 77 (b) 64 (c) 66 (d) 65
  29. 29.What comes next? 16, 17, 19, 22, 26, ? (a) 33 (b) 31 (c) 30 (d) 32
  30. 30.What comes next? 12, 15, 14, 17, 16, 19, ? (a) 17 (b) 20 (c) 18 (d) 22
  31. 31.What comes next? 2, 6, 4, 8, 6, 10, ? (a) 14 (b) 8 (c) 7 (d) 12
  32. 32.What comes next? 17, 19, 22, 26, 31, ? (a) 37 (b) 39 (c) 36 (d) 38
  33. 33.What comes next? 18, 27, 36, 45, 54, ? (a) 62 (b) 63 (c) 72 (d) 64
  34. 34.What comes next? 12, 16, 15, 19, 18, 22, ? (a) 26 (b) 23 (c) 20 (d) 21
  35. 35.What comes next? 18, 26, 23, 31, 28, 36, ? (a) 39 (b) 32 (c) 33 (d) 44
  36. 36.What comes next? 3, 14, 25, 36, 47, ? (a) 58 (b) 69 (c) 57 (d) 59
  37. 37.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 81 (d) 72
  38. 38.What comes next? 25, 27, 29, 31, 33, ? (a) 37 (b) 34 (c) 36 (d) 35
  39. 39.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 216 (c) 243 (d) 270
  40. 40.What comes next? 8, 11, 15, 20, 26, ? (a) 32 (b) 35 (c) 34 (d) 33

Answer key

  1. 36
  2. 16
  3. 1
  4. 28
  5. 34
  6. 34
  7. 14
  8. 10
  9. 5
  10. 29
  11. 32
  12. 7
  13. 18
  14. 84
  15. 20
  16. 128
  17. 17
  18. 14
  19. 28
  20. 6
  21. 25
  22. 16
  23. 15
  24. 55
  25. 3
  26. 12
  27. 12
  28. 65
  29. 31
  30. 18
  31. 8
  32. 37
  33. 63
  34. 21
  35. 33
  36. 58
  37. 81
  38. 35
  39. 243
  40. 33

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