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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 813 · 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? 9, 15, 21, 27, 33, ? (a) 45 (b) 38 (c) 40 (d) 39
  2. 2.What comes next? 25, 37, 49, 61, 73, ? (a) 97 (b) 84 (c) 86 (d) 85
  3. 3.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 200 (c) 160 (d) 120
  4. 4.What comes next? 14, 12, 10, 8, 6, ? (a) 3 (b) 5 (c) 4 (d) 2
  5. 5.What comes next? 17, 23, 19, 25, 21, 27, ? (a) 33 (b) 23 (c) 22 (d) 31
  6. 6.What comes next? 8, 16, 11, 19, 14, 22, ? (a) 17 (b) 16 (c) 30 (d) 27
  7. 7.What comes next? 42, 38, 34, 30, 26, ? (a) 18 (b) 21 (c) 23 (d) 22
  8. 8.What comes next? 3, 12, 8, 17, 13, 22, ? (a) 31 (b) 17 (c) 26 (d) 18
  9. 9.What comes next? 13, 22, 14, 23, 15, 24, ? (a) 32 (b) 16 (c) 15 (d) 33
  10. 10.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 45 (c) 72 (d) 90
  11. 11.What comes next? 11, 19, 27, 35, 43, ? (a) 52 (b) 59 (c) 50 (d) 51
  12. 12.What comes next? 6, 12, 24, 48, 96, ? (a) 192 (b) 144 (c) 193 (d) 240
  13. 13.What comes next? 7, 11, 16, 22, 29, ? (a) 36 (b) 38 (c) 39 (d) 37
  14. 14.What comes next? 4, 7, 10, 13, 16, ? (a) 18 (b) 22 (c) 19 (d) 20
  15. 15.What comes next? 28, 24, 20, 16, 12, ? (a) 8 (b) 9 (c) 4 (d) 7
  16. 16.What comes next? 39, 37, 35, 33, 31, ? (a) 28 (b) 27 (c) 30 (d) 29
  17. 17.What comes next? 36, 33, 30, 27, 24, ? (a) 20 (b) 21 (c) 22 (d) 18
  18. 18.What comes next? 16, 14, 12, 10, 8, ? (a) 4 (b) 5 (c) 6 (d) 7
  19. 19.What comes next? 33, 27, 21, 15, 9, ? (a) 3 (b) 4 (c) 2 (d) 5
  20. 20.What comes next? 20, 17, 14, 11, 8, ? (a) 5 (b) 4 (c) 6 (d) 2
  21. 21.What comes next? 41, 36, 31, 26, 21, ? (a) 16 (b) 17 (c) 15 (d) 11
  22. 22.What comes next? 55, 50, 45, 40, 35, ? (a) 29 (b) 30 (c) 31 (d) 25
  23. 23.What comes next? 3, 6, 10, 15, 21, ? (a) 30 (b) 28 (c) 29 (d) 27
  24. 24.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 97 (c) 72 (d) 120
  25. 25.What comes next? 29, 37, 45, 53, 61, ? (a) 77 (b) 69 (c) 70 (d) 68
  26. 26.What comes next? 8, 14, 10, 16, 12, 18, ? (a) 13 (b) 22 (c) 14 (d) 24
  27. 27.What comes next? 13, 16, 15, 18, 17, 20, ? (a) 19 (b) 18 (c) 21 (d) 23
  28. 28.What comes next? 13, 15, 18, 22, 27, ? (a) 35 (b) 33 (c) 32 (d) 34
  29. 29.What comes next? 6, 10, 15, 21, 28, ? (a) 35 (b) 36 (c) 38 (d) 37
  30. 30.What comes next? 7, 11, 10, 14, 13, 17, ? (a) 15 (b) 18 (c) 21 (d) 16
  31. 31.What comes next? 4, 8, 6, 10, 8, 12, ? (a) 14 (b) 16 (c) 9 (d) 10
  32. 32.What comes next? 7, 10, 8, 11, 9, 12, ? (a) 15 (b) 9 (c) 10 (d) 14
  33. 33.What comes next? 16, 17, 19, 22, 26, ? (a) 30 (b) 33 (c) 31 (d) 32
  34. 34.What comes next? 27, 25, 23, 21, 19, ? (a) 16 (b) 17 (c) 15 (d) 18
  35. 35.What comes next? 17, 28, 39, 50, 61, ? (a) 73 (b) 83 (c) 72 (d) 71
  36. 36.What comes next? 28, 25, 22, 19, 16, ? (a) 12 (b) 14 (c) 13 (d) 10
  37. 37.What comes next? 10, 11, 13, 16, 20, ? (a) 27 (b) 25 (c) 26 (d) 24
  38. 38.What comes next? 45, 38, 31, 24, 17, ? (a) 11 (b) 3 (c) 10 (d) 9
  39. 39.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 48 (c) 65 (d) 64
  40. 40.What comes next? 5, 8, 11, 14, 17, ? (a) 23 (b) 19 (c) 20 (d) 21

Answer key

  1. 39
  2. 85
  3. 160
  4. 4
  5. 23
  6. 17
  7. 22
  8. 18
  9. 16
  10. 81
  11. 51
  12. 192
  13. 37
  14. 19
  15. 8
  16. 29
  17. 21
  18. 6
  19. 3
  20. 5
  21. 16
  22. 30
  23. 28
  24. 96
  25. 69
  26. 14
  27. 19
  28. 33
  29. 36
  30. 16
  31. 10
  32. 10
  33. 31
  34. 17
  35. 72
  36. 13
  37. 25
  38. 10
  39. 64
  40. 20

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