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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 844 · 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? 13, 20, 27, 34, 41, ? (a) 47 (b) 55 (c) 48 (d) 49
  2. 2.What comes next? 17, 19, 22, 26, 31, ? (a) 36 (b) 38 (c) 39 (d) 37
  3. 3.What comes next? 72, 63, 54, 45, 36, ? (a) 28 (b) 26 (c) 27 (d) 18
  4. 4.What comes next? 16, 22, 17, 23, 18, 24, ? (a) 30 (b) 18 (c) 29 (d) 19
  5. 5.What comes next? 27, 25, 23, 21, 19, ? (a) 16 (b) 18 (c) 17 (d) 15
  6. 6.What comes next? 15, 20, 19, 24, 23, 28, ? (a) 26 (b) 29 (c) 27 (d) 33
  7. 7.What comes next? 15, 13, 11, 9, 7, ? (a) 4 (b) 6 (c) 5 (d) 3
  8. 8.What comes next? 59, 52, 45, 38, 31, ? (a) 24 (b) 25 (c) 23 (d) 17
  9. 9.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 48 (c) 64 (d) 80
  10. 10.What comes next? 23, 31, 39, 47, 55, ? (a) 71 (b) 62 (c) 63 (d) 64
  11. 11.What comes next? 33, 27, 21, 15, 9, ? (a) 5 (b) 4 (c) 2 (d) 3
  12. 12.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 180 (c) 90 (d) 162
  13. 13.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 216 (c) 243 (d) 135
  14. 14.What comes next? 8, 9, 11, 14, 18, ? (a) 24 (b) 25 (c) 23 (d) 22
  15. 15.What comes next? 19, 23, 22, 26, 25, 29, ? (a) 30 (b) 28 (c) 33 (d) 27
  16. 16.What comes next? 17, 18, 20, 23, 27, ? (a) 33 (b) 31 (c) 34 (d) 32
  17. 17.What comes next? 29, 36, 43, 50, 57, ? (a) 65 (b) 64 (c) 71 (d) 63
  18. 18.What comes next? 28, 36, 44, 52, 60, ? (a) 69 (b) 68 (c) 76 (d) 67
  19. 19.What comes next? 5, 11, 10, 16, 15, 21, ? (a) 20 (b) 19 (c) 27 (d) 22
  20. 20.What comes next? 11, 16, 15, 20, 19, 24, ? (a) 22 (b) 29 (c) 23 (d) 25
  21. 21.What comes next? 2, 5, 9, 14, 20, ? (a) 28 (b) 29 (c) 26 (d) 27
  22. 22.What comes next? 6, 14, 10, 18, 14, 22, ? (a) 18 (b) 26 (c) 30 (d) 17
  23. 23.What comes next? 13, 14, 16, 19, 23, ? (a) 30 (b) 28 (c) 27 (d) 29
  24. 24.What comes next? 1, 9, 3, 11, 5, 13, ? (a) 21 (b) 7 (c) 6 (d) 19
  25. 25.What comes next? 10, 16, 14, 20, 18, 24, ? (a) 21 (b) 22 (c) 26 (d) 30
  26. 26.What comes next? 14, 16, 18, 20, 22, ? (a) 26 (b) 25 (c) 23 (d) 24
  27. 27.What comes next? 49, 45, 41, 37, 33, ? (a) 30 (b) 25 (c) 28 (d) 29
  28. 28.What comes next? 32, 28, 24, 20, 16, ? (a) 12 (b) 8 (c) 13 (d) 11
  29. 29.What comes next? 46, 38, 30, 22, 14, ? (a) 5 (b) 8 (c) 7 (d) 6
  30. 30.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 90 (c) 45 (d) 72
  31. 31.What comes next? 5, 8, 11, 14, 17, ? (a) 23 (b) 19 (c) 21 (d) 20
  32. 32.What comes next? 9, 18, 27, 36, 45, ? (a) 53 (b) 55 (c) 54 (d) 63
  33. 33.What comes next? 34, 32, 30, 28, 26, ? (a) 25 (b) 24 (c) 22 (d) 23
  34. 34.What comes next? 28, 25, 22, 19, 16, ? (a) 14 (b) 13 (c) 12 (d) 10
  35. 35.What comes next? 5, 7, 10, 14, 19, ? (a) 27 (b) 24 (c) 25 (d) 26
  36. 36.What comes next? 7, 12, 17, 22, 27, ? (a) 31 (b) 37 (c) 32 (d) 33
  37. 37.What comes next? 19, 22, 25, 28, 31, ? (a) 34 (b) 37 (c) 35 (d) 33
  38. 38.What comes next? 13, 18, 16, 21, 19, 24, ? (a) 26 (b) 21 (c) 29 (d) 22
  39. 39.What comes next? 7, 8, 10, 13, 17, ? (a) 23 (b) 22 (c) 21 (d) 24
  40. 40.What comes next? 21, 24, 27, 30, 33, ? (a) 39 (b) 35 (c) 37 (d) 36

Answer key

  1. 48
  2. 37
  3. 27
  4. 19
  5. 17
  6. 27
  7. 5
  8. 24
  9. 64
  10. 63
  11. 3
  12. 162
  13. 243
  14. 23
  15. 28
  16. 32
  17. 64
  18. 68
  19. 20
  20. 23
  21. 27
  22. 18
  23. 28
  24. 7
  25. 22
  26. 24
  27. 29
  28. 12
  29. 6
  30. 81
  31. 20
  32. 54
  33. 24
  34. 13
  35. 25
  36. 32
  37. 34
  38. 22
  39. 22
  40. 36

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