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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 703 · 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? 4, 14, 24, 34, 44, ? (a) 53 (b) 55 (c) 54 (d) 64
  2. 2.What comes next? 36, 34, 32, 30, 28, ? (a) 24 (b) 26 (c) 27 (d) 25
  3. 3.What comes next? 1, 8, 2, 9, 3, 10, ? (a) 3 (b) 4 (c) 16 (d) 17
  4. 4.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 243 (c) 135 (d) 270
  5. 5.What comes next? 21, 19, 17, 15, 13, ? (a) 12 (b) 11 (c) 9 (d) 10
  6. 6.What comes next? 9, 11, 14, 18, 23, ? (a) 30 (b) 28 (c) 31 (d) 29
  7. 7.What comes next? 8, 10, 12, 14, 16, ? (a) 19 (b) 17 (c) 20 (d) 18
  8. 8.What comes next? 75, 66, 57, 48, 39, ? (a) 31 (b) 21 (c) 30 (d) 29
  9. 9.What comes next? 19, 24, 29, 34, 39, ? (a) 49 (b) 43 (c) 45 (d) 44
  10. 10.What comes next? 18, 22, 27, 33, 40, ? (a) 49 (b) 50 (c) 47 (d) 48
  11. 11.What comes next? 19, 22, 21, 24, 23, 26, ? (a) 29 (b) 24 (c) 25 (d) 27
  12. 12.What comes next? 11, 20, 16, 25, 21, 30, ? (a) 34 (b) 25 (c) 39 (d) 26
  13. 13.What comes next? 2, 4, 7, 11, 16, ? (a) 22 (b) 23 (c) 21 (d) 24
  14. 14.What comes next? 42, 34, 26, 18, 10, ? (a) 1 (b) 2 (c) 3 (d) 4
  15. 15.What comes next? 32, 28, 24, 20, 16, ? (a) 13 (b) 8 (c) 12 (d) 11
  16. 16.What comes next? 27, 23, 19, 15, 11, ? (a) 6 (b) 8 (c) 7 (d) 3
  17. 17.What comes next? 1, 10, 2, 11, 3, 12, ? (a) 20 (b) 3 (c) 21 (d) 4
  18. 18.What comes next? 6, 8, 10, 12, 14, ? (a) 18 (b) 15 (c) 17 (d) 16
  19. 19.What comes next? 60, 51, 42, 33, 24, ? (a) 14 (b) 15 (c) 16 (d) 6
  20. 20.What comes next? 5, 12, 10, 17, 15, 22, ? (a) 19 (b) 20 (c) 24 (d) 29
  21. 21.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 40 (c) 24 (d) 33
  22. 22.What comes next? 21, 18, 15, 12, 9, ? (a) 6 (b) 7 (c) 5 (d) 3
  23. 23.What comes next? 3, 5, 8, 12, 17, ? (a) 25 (b) 23 (c) 22 (d) 24
  24. 24.What comes next? 13, 20, 15, 22, 17, 24, ? (a) 29 (b) 31 (c) 18 (d) 19
  25. 25.What comes next? 27, 34, 41, 48, 55, ? (a) 62 (b) 63 (c) 69 (d) 61
  26. 26.What comes next? 9, 17, 13, 21, 17, 25, ? (a) 29 (b) 20 (c) 33 (d) 21
  27. 27.What comes next? 20, 24, 21, 25, 22, 26, ? (a) 30 (b) 23 (c) 29 (d) 22
  28. 28.What comes next? 7, 8, 10, 13, 17, ? (a) 21 (b) 22 (c) 23 (d) 24
  29. 29.What comes next? 31, 26, 21, 16, 11, ? (a) 5 (b) 6 (c) 7 (d) 1
  30. 30.What comes next? 16, 23, 30, 37, 44, ? (a) 58 (b) 51 (c) 50 (d) 52
  31. 31.What comes next? 3, 6, 10, 15, 21, ? (a) 30 (b) 27 (c) 29 (d) 28
  32. 32.What comes next? 10, 17, 24, 31, 38, ? (a) 44 (b) 46 (c) 45 (d) 52
  33. 33.What comes next? 18, 23, 19, 24, 20, 25, ? (a) 20 (b) 30 (c) 21 (d) 29
  34. 34.What comes next? 46, 38, 30, 22, 14, ? (a) 5 (b) 6 (c) 7 (d) 8
  35. 35.What comes next? 19, 23, 28, 34, 41, ? (a) 51 (b) 49 (c) 50 (d) 48
  36. 36.What comes next? 26, 21, 16, 11, 6, ? (a) 1 (b) 3 (c) 2 (d) 4
  37. 37.What comes next? 25, 33, 41, 49, 57, ? (a) 66 (b) 65 (c) 64 (d) 73
  38. 38.What comes next? 30, 27, 24, 21, 18, ? (a) 12 (b) 15 (c) 14 (d) 16
  39. 39.What comes next? 2, 6, 10, 14, 18, ? (a) 23 (b) 26 (c) 21 (d) 22
  40. 40.What comes next? 2, 9, 4, 11, 6, 13, ? (a) 7 (b) 18 (c) 20 (d) 8

Answer key

  1. 54
  2. 26
  3. 4
  4. 243
  5. 11
  6. 29
  7. 18
  8. 30
  9. 44
  10. 48
  11. 25
  12. 26
  13. 22
  14. 2
  15. 12
  16. 7
  17. 4
  18. 16
  19. 15
  20. 20
  21. 32
  22. 6
  23. 23
  24. 19
  25. 62
  26. 21
  27. 23
  28. 22
  29. 6
  30. 51
  31. 28
  32. 45
  33. 21
  34. 6
  35. 49
  36. 1
  37. 65
  38. 15
  39. 22
  40. 8

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