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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 731 · 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, 19, 23, 28, 34, ? (a) 41 (b) 42 (c) 43 (d) 40
  2. 2.What comes next? 15, 13, 11, 9, 7, ? (a) 6 (b) 3 (c) 4 (d) 5
  3. 3.What comes next? 13, 14, 16, 19, 23, ? (a) 29 (b) 28 (c) 27 (d) 30
  4. 4.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 80 (c) 64 (d) 48
  5. 5.What comes next? 9, 13, 17, 21, 25, ? (a) 29 (b) 33 (c) 28 (d) 30
  6. 6.What comes next? 4, 7, 5, 8, 6, 9, ? (a) 11 (b) 6 (c) 7 (d) 12
  7. 7.What comes next? 2, 5, 8, 11, 14, ? (a) 16 (b) 18 (c) 20 (d) 17
  8. 8.What comes next? 22, 20, 18, 16, 14, ? (a) 13 (b) 10 (c) 12 (d) 11
  9. 9.What comes next? 4, 13, 12, 21, 20, 29, ? (a) 38 (b) 27 (c) 30 (d) 28
  10. 10.What comes next? 11, 19, 14, 22, 17, 25, ? (a) 20 (b) 33 (c) 19 (d) 30
  11. 11.What comes next? 47, 39, 31, 23, 15, ? (a) 9 (b) 8 (c) 7 (d) 6
  12. 12.What comes next? 5, 9, 8, 12, 11, 15, ? (a) 16 (b) 14 (c) 19 (d) 13
  13. 13.What comes next? 10, 18, 17, 25, 24, 32, ? (a) 31 (b) 40 (c) 33 (d) 30
  14. 14.What comes next? 26, 21, 16, 11, 6, ? (a) 2 (b) 3 (c) 4 (d) 1
  15. 15.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 144 (c) 192 (d) 193
  16. 16.What comes next? 18, 22, 27, 33, 40, ? (a) 47 (b) 49 (c) 50 (d) 48
  17. 17.What comes next? 30, 38, 46, 54, 62, ? (a) 69 (b) 78 (c) 70 (d) 71
  18. 18.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 144 (c) 180 (d) 90
  19. 19.What comes next? 16, 13, 10, 7, 4, ? (a) 1 (b) 4 (c) 3 (d) 2
  20. 20.What comes next? 17, 19, 22, 26, 31, ? (a) 38 (b) 37 (c) 39 (d) 36
  21. 21.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 81 (c) 72 (d) 90
  22. 22.What comes next? 3, 12, 6, 15, 9, 18, ? (a) 11 (b) 27 (c) 24 (d) 12
  23. 23.What comes next? 15, 24, 18, 27, 21, 30, ? (a) 24 (b) 39 (c) 23 (d) 36
  24. 24.What comes next? 11, 14, 18, 23, 29, ? (a) 38 (b) 36 (c) 35 (d) 37
  25. 25.What comes next? 43, 39, 35, 31, 27, ? (a) 23 (b) 22 (c) 19 (d) 24
  26. 26.What comes next? 3, 4, 6, 9, 13, ? (a) 19 (b) 20 (c) 17 (d) 18
  27. 27.What comes next? 1, 5, 10, 16, 23, ? (a) 30 (b) 33 (c) 31 (d) 32
  28. 28.What comes next? 19, 22, 26, 31, 37, ? (a) 46 (b) 44 (c) 45 (d) 43
  29. 29.What comes next? 12, 16, 21, 27, 34, ? (a) 43 (b) 41 (c) 44 (d) 42
  30. 30.What comes next? 24, 22, 20, 18, 16, ? (a) 13 (b) 12 (c) 15 (d) 14
  31. 31.What comes next? 14, 15, 17, 20, 24, ? (a) 30 (b) 29 (c) 31 (d) 28
  32. 32.What comes next? 11, 16, 15, 20, 19, 24, ? (a) 25 (b) 23 (c) 22 (d) 29
  33. 33.What comes next? 7, 19, 31, 43, 55, ? (a) 67 (b) 66 (c) 68 (d) 79
  34. 34.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 129 (c) 96 (d) 160
  35. 35.What comes next? 23, 25, 27, 29, 31, ? (a) 35 (b) 34 (c) 32 (d) 33
  36. 36.What comes next? 5, 13, 21, 29, 37, ? (a) 44 (b) 45 (c) 46 (d) 53
  37. 37.What comes next? 39, 37, 35, 33, 31, ? (a) 27 (b) 30 (c) 29 (d) 28
  38. 38.What comes next? 12, 23, 34, 45, 56, ? (a) 66 (b) 78 (c) 67 (d) 68
  39. 39.What comes next? 50, 41, 32, 23, 14, ? (a) 6 (b) 4 (c) 7 (d) 5
  40. 40.What comes next? 17, 24, 22, 29, 27, 34, ? (a) 41 (b) 36 (c) 32 (d) 31

Answer key

  1. 41
  2. 5
  3. 28
  4. 64
  5. 29
  6. 7
  7. 17
  8. 12
  9. 28
  10. 20
  11. 7
  12. 14
  13. 31
  14. 1
  15. 192
  16. 48
  17. 70
  18. 162
  19. 1
  20. 37
  21. 81
  22. 12
  23. 24
  24. 36
  25. 23
  26. 18
  27. 31
  28. 44
  29. 42
  30. 14
  31. 29
  32. 23
  33. 67
  34. 128
  35. 33
  36. 45
  37. 29
  38. 67
  39. 5
  40. 32

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