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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 849 · 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? 11, 18, 13, 20, 15, 22, ? (a) 16 (b) 27 (c) 17 (d) 29
  2. 2.What comes next? 43, 35, 27, 19, 11, ? (a) 3 (b) 4 (c) 5 (d) 2
  3. 3.What comes next? 16, 25, 19, 28, 22, 31, ? (a) 24 (b) 40 (c) 25 (d) 37
  4. 4.What comes next? 18, 19, 21, 24, 28, ? (a) 32 (b) 34 (c) 35 (d) 33
  5. 5.What comes next? 10, 14, 19, 25, 32, ? (a) 41 (b) 40 (c) 39 (d) 42
  6. 6.What comes next? 16, 25, 34, 43, 52, ? (a) 60 (b) 61 (c) 62 (d) 70
  7. 7.What comes next? 2, 7, 12, 17, 22, ? (a) 32 (b) 26 (c) 28 (d) 27
  8. 8.What comes next? 1, 9, 2, 10, 3, 11, ? (a) 19 (b) 4 (c) 18 (d) 3
  9. 9.What comes next? 12, 18, 14, 20, 16, 22, ? (a) 28 (b) 26 (c) 17 (d) 18
  10. 10.What comes next? 24, 20, 16, 12, 8, ? (a) 5 (b) 3 (c) 4 (d) 6
  11. 11.What comes next? 3, 10, 6, 13, 9, 16, ? (a) 11 (b) 12 (c) 23 (d) 20
  12. 12.What comes next? 8, 11, 15, 20, 26, ? (a) 35 (b) 33 (c) 32 (d) 34
  13. 13.What comes next? 40, 38, 36, 34, 32, ? (a) 31 (b) 29 (c) 28 (d) 30
  14. 14.What comes next? 4, 7, 11, 16, 22, ? (a) 28 (b) 30 (c) 31 (d) 29
  15. 15.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 65 (c) 64 (d) 48
  16. 16.What comes next? 3, 11, 10, 18, 17, 25, ? (a) 33 (b) 23 (c) 24 (d) 26
  17. 17.What comes next? 19, 24, 20, 25, 21, 26, ? (a) 22 (b) 21 (c) 30 (d) 31
  18. 18.What comes next? 4, 12, 20, 28, 36, ? (a) 43 (b) 44 (c) 52 (d) 45
  19. 19.What comes next? 19, 25, 21, 27, 23, 29, ? (a) 25 (b) 35 (c) 33 (d) 24
  20. 20.What comes next? 1, 2, 4, 7, 11, ? (a) 18 (b) 17 (c) 15 (d) 16
  21. 21.What comes next? 63, 55, 47, 39, 31, ? (a) 15 (b) 24 (c) 22 (d) 23
  22. 22.What comes next? 27, 31, 35, 39, 43, ? (a) 46 (b) 51 (c) 48 (d) 47
  23. 23.What comes next? 17, 20, 19, 22, 21, 24, ? (a) 27 (b) 23 (c) 22 (d) 25
  24. 24.What comes next? 4, 7, 10, 13, 16, ? (a) 20 (b) 19 (c) 22 (d) 18
  25. 25.What comes next? 6, 10, 15, 21, 28, ? (a) 36 (b) 38 (c) 35 (d) 37
  26. 26.What comes next? 1, 3, 6, 10, 15, ? (a) 22 (b) 21 (c) 23 (d) 20
  27. 27.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 161 (c) 160 (d) 200
  28. 28.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 216 (c) 270 (d) 243
  29. 29.What comes next? 5, 14, 6, 15, 7, 16, ? (a) 24 (b) 7 (c) 8 (d) 25
  30. 30.What comes next? 1, 10, 9, 18, 17, 26, ? (a) 35 (b) 24 (c) 25 (d) 27
  31. 31.What comes next? 13, 11, 9, 7, 5, ? (a) 1 (b) 2 (c) 3 (d) 4
  32. 32.What comes next? 15, 24, 19, 28, 23, 32, ? (a) 41 (b) 37 (c) 27 (d) 26
  33. 33.What comes next? 10, 17, 24, 31, 38, ? (a) 52 (b) 44 (c) 45 (d) 46
  34. 34.What comes next? 43, 40, 37, 34, 31, ? (a) 29 (b) 27 (c) 25 (d) 28
  35. 35.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 45 (c) 81 (d) 72
  36. 36.What comes next? 6, 14, 13, 21, 20, 28, ? (a) 29 (b) 36 (c) 26 (d) 27
  37. 37.What comes next? 19, 25, 31, 37, 43, ? (a) 50 (b) 55 (c) 48 (d) 49
  38. 38.What comes next? 69, 60, 51, 42, 33, ? (a) 15 (b) 24 (c) 25 (d) 23
  39. 39.What comes next? 13, 18, 23, 28, 33, ? (a) 39 (b) 38 (c) 37 (d) 43
  40. 40.What comes next? 32, 27, 22, 17, 12, ? (a) 7 (b) 8 (c) 6 (d) 2

Answer key

  1. 17
  2. 3
  3. 25
  4. 33
  5. 40
  6. 61
  7. 27
  8. 4
  9. 18
  10. 4
  11. 12
  12. 33
  13. 30
  14. 29
  15. 64
  16. 24
  17. 22
  18. 44
  19. 25
  20. 16
  21. 23
  22. 47
  23. 23
  24. 19
  25. 36
  26. 21
  27. 160
  28. 243
  29. 8
  30. 25
  31. 3
  32. 27
  33. 45
  34. 28
  35. 81
  36. 27
  37. 49
  38. 24
  39. 38
  40. 7

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