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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 931 · 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? 11, 15, 20, 26, 33, ? (a) 43 (b) 42 (c) 40 (d) 41
  2. 2.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 81 (c) 90 (d) 45
  3. 3.What comes next? 2, 6, 3, 7, 4, 8, ? (a) 12 (b) 11 (c) 5 (d) 4
  4. 4.What comes next? 26, 28, 30, 32, 34, ? (a) 36 (b) 37 (c) 35 (d) 38
  5. 5.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 135 (c) 243 (d) 216
  6. 6.What comes next? 54, 49, 44, 39, 34, ? (a) 30 (b) 28 (c) 24 (d) 29
  7. 7.What comes next? 24, 21, 18, 15, 12, ? (a) 6 (b) 10 (c) 8 (d) 9
  8. 8.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 96 (c) 128 (d) 160
  9. 9.What comes next? 45, 39, 33, 27, 21, ? (a) 16 (b) 15 (c) 9 (d) 14
  10. 10.What comes next? 68, 59, 50, 41, 32, ? (a) 23 (b) 14 (c) 24 (d) 22
  11. 11.What comes next? 8, 15, 14, 21, 20, 27, ? (a) 34 (b) 25 (c) 28 (d) 26
  12. 12.What comes next? 6, 12, 11, 17, 16, 22, ? (a) 23 (b) 20 (c) 28 (d) 21
  13. 13.What comes next? 10, 14, 19, 25, 32, ? (a) 40 (b) 41 (c) 42 (d) 39
  14. 14.What comes next? 3, 6, 10, 15, 21, ? (a) 30 (b) 27 (c) 28 (d) 29
  15. 15.What comes next? 6, 12, 8, 14, 10, 16, ? (a) 22 (b) 20 (c) 12 (d) 11
  16. 16.What comes next? 55, 49, 43, 37, 31, ? (a) 25 (b) 26 (c) 19 (d) 24
  17. 17.What comes next? 3, 13, 23, 33, 43, ? (a) 52 (b) 63 (c) 54 (d) 53
  18. 18.What comes next? 29, 38, 47, 56, 65, ? (a) 75 (b) 73 (c) 74 (d) 83
  19. 19.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 240 (c) 144 (d) 192
  20. 20.What comes next? 4, 7, 10, 13, 16, ? (a) 22 (b) 20 (c) 19 (d) 18
  21. 21.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 72 (c) 96 (d) 120
  22. 22.What comes next? 14, 12, 10, 8, 6, ? (a) 2 (b) 3 (c) 5 (d) 4
  23. 23.What comes next? 21, 29, 37, 45, 53, ? (a) 69 (b) 61 (c) 62 (d) 60
  24. 24.What comes next? 37, 31, 25, 19, 13, ? (a) 7 (b) 6 (c) 1 (d) 8
  25. 25.What comes next? 18, 20, 23, 27, 32, ? (a) 40 (b) 38 (c) 39 (d) 37
  26. 26.What comes next? 55, 48, 41, 34, 27, ? (a) 21 (b) 19 (c) 13 (d) 20
  27. 27.What comes next? 34, 32, 30, 28, 26, ? (a) 22 (b) 25 (c) 23 (d) 24
  28. 28.What comes next? 29, 32, 35, 38, 41, ? (a) 44 (b) 45 (c) 43 (d) 47
  29. 29.What comes next? 13, 18, 14, 19, 15, 20, ? (a) 16 (b) 24 (c) 15 (d) 25
  30. 30.What comes next? 5, 9, 8, 12, 11, 15, ? (a) 14 (b) 19 (c) 16 (d) 13
  31. 31.What comes next? 23, 20, 17, 14, 11, ? (a) 8 (b) 9 (c) 7 (d) 5
  32. 32.What comes next? 16, 14, 12, 10, 8, ? (a) 7 (b) 4 (c) 5 (d) 6
  33. 33.What comes next? 15, 18, 16, 19, 17, 20, ? (a) 22 (b) 18 (c) 23 (d) 17
  34. 34.What comes next? 40, 37, 34, 31, 28, ? (a) 24 (b) 22 (c) 26 (d) 25
  35. 35.What comes next? 12, 13, 15, 18, 22, ? (a) 26 (b) 28 (c) 27 (d) 29
  36. 36.What comes next? 24, 33, 42, 51, 60, ? (a) 69 (b) 70 (c) 78 (d) 68
  37. 37.What comes next? 43, 37, 31, 25, 19, ? (a) 14 (b) 12 (c) 7 (d) 13
  38. 38.What comes next? 58, 51, 44, 37, 30, ? (a) 22 (b) 23 (c) 24 (d) 16
  39. 39.What comes next? 15, 16, 18, 21, 25, ? (a) 29 (b) 31 (c) 30 (d) 32
  40. 40.What comes next? 13, 21, 17, 25, 21, 29, ? (a) 37 (b) 25 (c) 24 (d) 33

Answer key

  1. 41
  2. 81
  3. 5
  4. 36
  5. 243
  6. 29
  7. 9
  8. 128
  9. 15
  10. 23
  11. 26
  12. 21
  13. 40
  14. 28
  15. 12
  16. 25
  17. 53
  18. 74
  19. 192
  20. 19
  21. 96
  22. 4
  23. 61
  24. 7
  25. 38
  26. 20
  27. 24
  28. 44
  29. 16
  30. 14
  31. 8
  32. 6
  33. 18
  34. 25
  35. 27
  36. 69
  37. 13
  38. 23
  39. 30
  40. 25

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