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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 812 · 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? 7, 16, 25, 34, 43, ? (a) 51 (b) 61 (c) 53 (d) 52
  2. 2.What comes next? 28, 25, 22, 19, 16, ? (a) 10 (b) 12 (c) 13 (d) 14
  3. 3.What comes next? 46, 40, 34, 28, 22, ? (a) 16 (b) 15 (c) 17 (d) 10
  4. 4.What comes next? 1, 4, 2, 5, 3, 6, ? (a) 4 (b) 9 (c) 8 (d) 3
  5. 5.What comes next? 33, 27, 21, 15, 9, ? (a) 3 (b) 4 (c) 5 (d) 2
  6. 6.What comes next? 36, 29, 22, 15, 8, ? (a) 4 (b) 3 (c) 1 (d) 2
  7. 7.What comes next? 11, 20, 15, 24, 19, 28, ? (a) 23 (b) 22 (c) 37 (d) 33
  8. 8.What comes next? 2, 10, 9, 17, 16, 24, ? (a) 22 (b) 25 (c) 23 (d) 32
  9. 9.What comes next? 8, 17, 16, 25, 24, 33, ? (a) 34 (b) 31 (c) 32 (d) 42
  10. 10.What comes next? 4, 7, 11, 16, 22, ? (a) 31 (b) 29 (c) 28 (d) 30
  11. 11.What comes next? 6, 8, 10, 12, 14, ? (a) 15 (b) 17 (c) 18 (d) 16
  12. 12.What comes next? 3, 7, 6, 10, 9, 13, ? (a) 11 (b) 17 (c) 12 (d) 14
  13. 13.What comes next? 19, 23, 27, 31, 35, ? (a) 38 (b) 43 (c) 40 (d) 39
  14. 14.What comes next? 15, 20, 18, 23, 21, 26, ? (a) 23 (b) 31 (c) 28 (d) 24
  15. 15.What comes next? 9, 12, 16, 21, 27, ? (a) 33 (b) 35 (c) 34 (d) 36
  16. 16.What comes next? 16, 20, 25, 31, 38, ? (a) 48 (b) 45 (c) 47 (d) 46
  17. 17.What comes next? 3, 6, 5, 8, 7, 10, ? (a) 11 (b) 8 (c) 13 (d) 9
  18. 18.What comes next? 4, 14, 24, 34, 44, ? (a) 64 (b) 53 (c) 54 (d) 55
  19. 19.What comes next? 8, 12, 17, 23, 30, ? (a) 37 (b) 40 (c) 39 (d) 38
  20. 20.What comes next? 18, 30, 42, 54, 66, ? (a) 79 (b) 77 (c) 90 (d) 78
  21. 21.What comes next? 2, 3, 5, 8, 12, ? (a) 19 (b) 16 (c) 18 (d) 17
  22. 22.What comes next? 6, 7, 9, 12, 16, ? (a) 22 (b) 20 (c) 21 (d) 23
  23. 23.What comes next? 17, 19, 21, 23, 25, ? (a) 28 (b) 29 (c) 26 (d) 27
  24. 24.What comes next? 11, 14, 17, 20, 23, ? (a) 26 (b) 27 (c) 29 (d) 25
  25. 25.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 216 (c) 243 (d) 270
  26. 26.What comes next? 6, 8, 11, 15, 20, ? (a) 28 (b) 25 (c) 27 (d) 26
  27. 27.What comes next? 40, 33, 26, 19, 12, ? (a) 6 (b) 4 (c) 7 (d) 5
  28. 28.What comes next? 9, 13, 18, 24, 31, ? (a) 39 (b) 40 (c) 38 (d) 41
  29. 29.What comes next? 29, 35, 41, 47, 53, ? (a) 60 (b) 58 (c) 65 (d) 59
  30. 30.What comes next? 16, 21, 19, 24, 22, 27, ? (a) 24 (b) 32 (c) 25 (d) 29
  31. 31.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 48 (c) 80 (d) 64
  32. 32.What comes next? 12, 13, 15, 18, 22, ? (a) 28 (b) 27 (c) 29 (d) 26
  33. 33.What comes next? 1, 10, 5, 14, 9, 18, ? (a) 27 (b) 12 (c) 23 (d) 13
  34. 34.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 72 (c) 97 (d) 96
  35. 35.What comes next? 4, 6, 9, 13, 18, ? (a) 26 (b) 25 (c) 24 (d) 23
  36. 36.What comes next? 5, 10, 15, 20, 25, ? (a) 31 (b) 29 (c) 30 (d) 35
  37. 37.What comes next? 38, 31, 24, 17, 10, ? (a) 2 (b) 3 (c) 5 (d) 4
  38. 38.What comes next? 5, 14, 23, 32, 41, ? (a) 59 (b) 50 (c) 51 (d) 49
  39. 39.What comes next? 18, 22, 27, 33, 40, ? (a) 49 (b) 47 (c) 48 (d) 50
  40. 40.What comes next? 3, 5, 8, 12, 17, ? (a) 25 (b) 23 (c) 22 (d) 24

Answer key

  1. 52
  2. 13
  3. 16
  4. 4
  5. 3
  6. 1
  7. 23
  8. 23
  9. 32
  10. 29
  11. 16
  12. 12
  13. 39
  14. 24
  15. 34
  16. 46
  17. 9
  18. 54
  19. 38
  20. 78
  21. 17
  22. 21
  23. 27
  24. 26
  25. 243
  26. 26
  27. 5
  28. 39
  29. 59
  30. 25
  31. 64
  32. 27
  33. 13
  34. 96
  35. 24
  36. 30
  37. 3
  38. 50
  39. 48
  40. 23

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