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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 823 · 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, 7, 9, 12, 16, ? (a) 22 (b) 21 (c) 23 (d) 20
  2. 2.What comes next? 25, 21, 17, 13, 9, ? (a) 6 (b) 1 (c) 5 (d) 4
  3. 3.What comes next? 10, 17, 24, 31, 38, ? (a) 45 (b) 44 (c) 46 (d) 52
  4. 4.What comes next? 27, 29, 31, 33, 35, ? (a) 37 (b) 39 (c) 38 (d) 36
  5. 5.What comes next? 36, 31, 26, 21, 16, ? (a) 10 (b) 11 (c) 6 (d) 12
  6. 6.What comes next? 34, 32, 30, 28, 26, ? (a) 23 (b) 22 (c) 25 (d) 24
  7. 7.What comes next? 35, 33, 31, 29, 27, ? (a) 24 (b) 23 (c) 26 (d) 25
  8. 8.What comes next? 7, 19, 31, 43, 55, ? (a) 67 (b) 66 (c) 68 (d) 79
  9. 9.What comes next? 29, 26, 23, 20, 17, ? (a) 14 (b) 13 (c) 11 (d) 15
  10. 10.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 24 (c) 40 (d) 33
  11. 11.What comes next? 36, 32, 28, 24, 20, ? (a) 15 (b) 17 (c) 16 (d) 12
  12. 12.What comes next? 2, 6, 11, 17, 24, ? (a) 32 (b) 31 (c) 34 (d) 33
  13. 13.What comes next? 12, 16, 21, 27, 34, ? (a) 44 (b) 41 (c) 42 (d) 43
  14. 14.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 162 (c) 90 (d) 144
  15. 15.What comes next? 10, 11, 13, 16, 20, ? (a) 25 (b) 24 (c) 26 (d) 27
  16. 16.What comes next? 25, 22, 19, 16, 13, ? (a) 7 (b) 9 (c) 10 (d) 11
  17. 17.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 81 (c) 72 (d) 90
  18. 18.What comes next? 29, 41, 53, 65, 77, ? (a) 88 (b) 90 (c) 89 (d) 101
  19. 19.What comes next? 16, 19, 18, 21, 20, 23, ? (a) 22 (b) 26 (c) 21 (d) 24
  20. 20.What comes next? 43, 39, 35, 31, 27, ? (a) 22 (b) 24 (c) 19 (d) 23
  21. 21.What comes next? 3, 12, 21, 30, 39, ? (a) 57 (b) 49 (c) 48 (d) 47
  22. 22.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 80 (c) 64 (d) 48
  23. 23.What comes next? 5, 11, 10, 16, 15, 21, ? (a) 27 (b) 19 (c) 20 (d) 22
  24. 24.What comes next? 4, 13, 7, 16, 10, 19, ? (a) 28 (b) 12 (c) 13 (d) 25
  25. 25.What comes next? 44, 36, 28, 20, 12, ? (a) 3 (b) 5 (c) 6 (d) 4
  26. 26.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 135 (c) 216 (d) 270
  27. 27.What comes next? 65, 56, 47, 38, 29, ? (a) 11 (b) 21 (c) 20 (d) 19
  28. 28.What comes next? 26, 36, 46, 56, 66, ? (a) 76 (b) 75 (c) 86 (d) 77
  29. 29.What comes next? 62, 54, 46, 38, 30, ? (a) 22 (b) 21 (c) 23 (d) 14
  30. 30.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 200 (c) 120 (d) 161
  31. 31.What comes next? 11, 18, 17, 24, 23, 30, ? (a) 28 (b) 31 (c) 29 (d) 37
  32. 32.What comes next? 10, 14, 12, 16, 14, 18, ? (a) 15 (b) 20 (c) 16 (d) 22
  33. 33.What comes next? 22, 30, 38, 46, 54, ? (a) 70 (b) 61 (c) 62 (d) 63
  34. 34.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 72 (c) 120 (d) 97
  35. 35.What comes next? 49, 45, 41, 37, 33, ? (a) 30 (b) 29 (c) 28 (d) 25
  36. 36.What comes next? 18, 16, 14, 12, 10, ? (a) 6 (b) 8 (c) 9 (d) 7
  37. 37.What comes next? 11, 15, 20, 26, 33, ? (a) 42 (b) 43 (c) 41 (d) 40
  38. 38.What comes next? 8, 16, 9, 17, 10, 18, ? (a) 10 (b) 11 (c) 26 (d) 25
  39. 39.What comes next? 38, 31, 24, 17, 10, ? (a) 2 (b) 4 (c) 3 (d) 5
  40. 40.What comes next? 31, 28, 25, 22, 19, ? (a) 13 (b) 17 (c) 15 (d) 16

Answer key

  1. 21
  2. 5
  3. 45
  4. 37
  5. 11
  6. 24
  7. 25
  8. 67
  9. 14
  10. 32
  11. 16
  12. 32
  13. 42
  14. 162
  15. 25
  16. 10
  17. 81
  18. 89
  19. 22
  20. 23
  21. 48
  22. 64
  23. 20
  24. 13
  25. 4
  26. 243
  27. 20
  28. 76
  29. 22
  30. 160
  31. 29
  32. 16
  33. 62
  34. 96
  35. 29
  36. 8
  37. 41
  38. 11
  39. 3
  40. 16

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