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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 699 · 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? 45, 37, 29, 21, 13, ? (a) 7 (b) 5 (c) 6 (d) 4
  2. 2.What comes next? 14, 19, 24, 29, 34, ? (a) 40 (b) 39 (c) 44 (d) 38
  3. 3.What comes next? 13, 24, 35, 46, 57, ? (a) 69 (b) 79 (c) 67 (d) 68
  4. 4.What comes next? 43, 40, 37, 34, 31, ? (a) 27 (b) 25 (c) 29 (d) 28
  5. 5.What comes next? 19, 21, 24, 28, 33, ? (a) 40 (b) 41 (c) 39 (d) 38
  6. 6.What comes next? 5, 12, 19, 26, 33, ? (a) 41 (b) 40 (c) 39 (d) 47
  7. 7.What comes next? 2, 4, 7, 11, 16, ? (a) 21 (b) 24 (c) 22 (d) 23
  8. 8.What comes next? 7, 17, 27, 37, 47, ? (a) 58 (b) 67 (c) 56 (d) 57
  9. 9.What comes next? 17, 21, 25, 29, 33, ? (a) 37 (b) 36 (c) 38 (d) 41
  10. 10.What comes next? 14, 23, 32, 41, 50, ? (a) 60 (b) 68 (c) 58 (d) 59
  11. 11.What comes next? 1, 2, 4, 7, 11, ? (a) 15 (b) 18 (c) 17 (d) 16
  12. 12.What comes next? 12, 14, 16, 18, 20, ? (a) 23 (b) 24 (c) 21 (d) 22
  13. 13.What comes next? 41, 37, 33, 29, 25, ? (a) 20 (b) 17 (c) 22 (d) 21
  14. 14.What comes next? 3, 15, 27, 39, 51, ? (a) 63 (b) 75 (c) 64 (d) 62
  15. 15.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 135 (c) 216 (d) 243
  16. 16.What comes next? 19, 20, 22, 25, 29, ? (a) 36 (b) 35 (c) 34 (d) 33
  17. 17.What comes next? 4, 6, 8, 10, 12, ? (a) 16 (b) 13 (c) 14 (d) 15
  18. 18.What comes next? 6, 7, 9, 12, 16, ? (a) 21 (b) 22 (c) 20 (d) 23
  19. 19.What comes next? 12, 18, 16, 22, 20, 26, ? (a) 32 (b) 23 (c) 28 (d) 24
  20. 20.What comes next? 31, 26, 21, 16, 11, ? (a) 6 (b) 7 (c) 5 (d) 1
  21. 21.What comes next? 6, 12, 18, 24, 30, ? (a) 42 (b) 37 (c) 35 (d) 36
  22. 22.What comes next? 46, 38, 30, 22, 14, ? (a) 7 (b) 5 (c) 8 (d) 6
  23. 23.What comes next? 32, 28, 24, 20, 16, ? (a) 12 (b) 11 (c) 8 (d) 13
  24. 24.What comes next? 12, 19, 14, 21, 16, 23, ? (a) 17 (b) 30 (c) 28 (d) 18
  25. 25.What comes next? 14, 15, 17, 20, 24, ? (a) 30 (b) 28 (c) 29 (d) 31
  26. 26.What comes next? 15, 24, 33, 42, 51, ? (a) 61 (b) 59 (c) 60 (d) 69
  27. 27.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 65 (c) 64 (d) 80
  28. 28.What comes next? 24, 22, 20, 18, 16, ? (a) 15 (b) 14 (c) 12 (d) 13
  29. 29.What comes next? 38, 32, 26, 20, 14, ? (a) 7 (b) 2 (c) 8 (d) 9
  30. 30.What comes next? 70, 62, 54, 46, 38, ? (a) 31 (b) 30 (c) 29 (d) 22
  31. 31.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 162 (c) 90 (d) 180
  32. 32.What comes next? 30, 37, 44, 51, 58, ? (a) 64 (b) 72 (c) 66 (d) 65
  33. 33.What comes next? 52, 44, 36, 28, 20, ? (a) 11 (b) 12 (c) 13 (d) 4
  34. 34.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 24 (c) 32 (d) 40
  35. 35.What comes next? 11, 15, 20, 26, 33, ? (a) 42 (b) 43 (c) 40 (d) 41
  36. 36.What comes next? 43, 35, 27, 19, 11, ? (a) 4 (b) 5 (c) 2 (d) 3
  37. 37.What comes next? 5, 13, 21, 29, 37, ? (a) 53 (b) 46 (c) 44 (d) 45
  38. 38.What comes next? 44, 39, 34, 29, 24, ? (a) 14 (b) 20 (c) 19 (d) 18
  39. 39.What comes next? 8, 10, 13, 17, 22, ? (a) 27 (b) 30 (c) 28 (d) 29
  40. 40.What comes next? 47, 39, 31, 23, 15, ? (a) 6 (b) 7 (c) 9 (d) 8

Answer key

  1. 5
  2. 39
  3. 68
  4. 28
  5. 39
  6. 40
  7. 22
  8. 57
  9. 37
  10. 59
  11. 16
  12. 22
  13. 21
  14. 63
  15. 243
  16. 34
  17. 14
  18. 21
  19. 24
  20. 6
  21. 36
  22. 6
  23. 12
  24. 18
  25. 29
  26. 60
  27. 64
  28. 14
  29. 8
  30. 30
  31. 162
  32. 65
  33. 12
  34. 32
  35. 41
  36. 3
  37. 45
  38. 19
  39. 28
  40. 7

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