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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 762 · 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? 1, 2, 4, 8, 16, ? (a) 33 (b) 24 (c) 32 (d) 40
  2. 2.What comes next? 1, 9, 8, 16, 15, 23, ? (a) 31 (b) 22 (c) 21 (d) 24
  3. 3.What comes next? 36, 34, 32, 30, 28, ? (a) 25 (b) 26 (c) 27 (d) 24
  4. 4.What comes next? 9, 12, 15, 18, 21, ? (a) 24 (b) 27 (c) 23 (d) 25
  5. 5.What comes next? 25, 21, 17, 13, 9, ? (a) 1 (b) 5 (c) 4 (d) 6
  6. 6.What comes next? 12, 15, 14, 17, 16, 19, ? (a) 20 (b) 18 (c) 17 (d) 22
  7. 7.What comes next? 4, 10, 16, 22, 28, ? (a) 35 (b) 33 (c) 40 (d) 34
  8. 8.What comes next? 31, 28, 25, 22, 19, ? (a) 16 (b) 15 (c) 13 (d) 17
  9. 9.What comes next? 56, 47, 38, 29, 20, ? (a) 11 (b) 12 (c) 2 (d) 10
  10. 10.What comes next? 66, 57, 48, 39, 30, ? (a) 20 (b) 12 (c) 21 (d) 22
  11. 11.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 180 (c) 144 (d) 162
  12. 12.What comes next? 20, 27, 34, 41, 48, ? (a) 54 (b) 55 (c) 62 (d) 56
  13. 13.What comes next? 23, 30, 37, 44, 51, ? (a) 59 (b) 57 (c) 58 (d) 65
  14. 14.What comes next? 9, 19, 29, 39, 49, ? (a) 60 (b) 58 (c) 69 (d) 59
  15. 15.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 97 (c) 72 (d) 96
  16. 16.What comes next? 2, 3, 5, 8, 12, ? (a) 17 (b) 19 (c) 18 (d) 16
  17. 17.What comes next? 19, 23, 20, 24, 21, 25, ? (a) 29 (b) 22 (c) 28 (d) 21
  18. 18.What comes next? 50, 44, 38, 32, 26, ? (a) 21 (b) 20 (c) 19 (d) 14
  19. 19.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 81 (c) 72 (d) 45
  20. 20.What comes next? 7, 9, 11, 13, 15, ? (a) 19 (b) 18 (c) 17 (d) 16
  21. 21.What comes next? 18, 16, 14, 12, 10, ? (a) 9 (b) 8 (c) 7 (d) 6
  22. 22.What comes next? 11, 15, 14, 18, 17, 21, ? (a) 20 (b) 19 (c) 25 (d) 22
  23. 23.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 128 (c) 129 (d) 160
  24. 24.What comes next? 11, 16, 12, 17, 13, 18, ? (a) 14 (b) 22 (c) 23 (d) 13
  25. 25.What comes next? 4, 8, 13, 19, 26, ? (a) 36 (b) 35 (c) 34 (d) 33
  26. 26.What comes next? 27, 34, 41, 48, 55, ? (a) 61 (b) 63 (c) 62 (d) 69
  27. 27.What comes next? 32, 30, 28, 26, 24, ? (a) 22 (b) 20 (c) 23 (d) 21
  28. 28.What comes next? 5, 13, 9, 17, 13, 21, ? (a) 17 (b) 25 (c) 29 (d) 16
  29. 29.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 243 (c) 135 (d) 216
  30. 30.What comes next? 43, 36, 29, 22, 15, ? (a) 7 (b) 9 (c) 1 (d) 8
  31. 31.What comes next? 24, 20, 16, 12, 8, ? (a) 5 (b) 3 (c) 4 (d) 6
  32. 32.What comes next? 16, 13, 10, 7, 4, ? (a) 1 (b) 3 (c) 2 (d) 4
  33. 33.What comes next? 55, 47, 39, 31, 23, ? (a) 15 (b) 16 (c) 14 (d) 7
  34. 34.What comes next? 10, 14, 19, 25, 32, ? (a) 39 (b) 42 (c) 41 (d) 40
  35. 35.What comes next? 3, 4, 6, 9, 13, ? (a) 18 (b) 19 (c) 20 (d) 17
  36. 36.What comes next? 45, 38, 31, 24, 17, ? (a) 3 (b) 11 (c) 9 (d) 10
  37. 37.What comes next? 42, 36, 30, 24, 18, ? (a) 13 (b) 6 (c) 11 (d) 12
  38. 38.What comes next? 17, 21, 26, 32, 39, ? (a) 47 (b) 48 (c) 49 (d) 46
  39. 39.What comes next? 54, 47, 40, 33, 26, ? (a) 18 (b) 20 (c) 12 (d) 19
  40. 40.What comes next? 7, 10, 9, 12, 11, 14, ? (a) 17 (b) 15 (c) 12 (d) 13

Answer key

  1. 32
  2. 22
  3. 26
  4. 24
  5. 5
  6. 18
  7. 34
  8. 16
  9. 11
  10. 21
  11. 162
  12. 55
  13. 58
  14. 59
  15. 96
  16. 17
  17. 22
  18. 20
  19. 81
  20. 17
  21. 8
  22. 20
  23. 128
  24. 14
  25. 34
  26. 62
  27. 22
  28. 17
  29. 243
  30. 8
  31. 4
  32. 1
  33. 15
  34. 40
  35. 18
  36. 10
  37. 12
  38. 47
  39. 19
  40. 13

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