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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 909 · 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? 19, 17, 15, 13, 11, ? (a) 8 (b) 9 (c) 10 (d) 7
  2. 2.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 65 (c) 80 (d) 48
  3. 3.What comes next? 19, 22, 26, 31, 37, ? (a) 43 (b) 46 (c) 45 (d) 44
  4. 4.What comes next? 5, 6, 8, 11, 15, ? (a) 21 (b) 22 (c) 19 (d) 20
  5. 5.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 120 (c) 72 (d) 96
  6. 6.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 144 (c) 162 (d) 180
  7. 7.What comes next? 47, 40, 33, 26, 19, ? (a) 12 (b) 13 (c) 5 (d) 11
  8. 8.What comes next? 3, 5, 7, 9, 11, ? (a) 12 (b) 14 (c) 13 (d) 15
  9. 9.What comes next? 18, 25, 32, 39, 46, ? (a) 53 (b) 60 (c) 54 (d) 52
  10. 10.What comes next? 25, 23, 21, 19, 17, ? (a) 13 (b) 14 (c) 15 (d) 16
  11. 11.What comes next? 15, 18, 22, 27, 33, ? (a) 42 (b) 41 (c) 39 (d) 40
  12. 12.What comes next? 18, 19, 21, 24, 28, ? (a) 32 (b) 33 (c) 35 (d) 34
  13. 13.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 45 (c) 72 (d) 90
  14. 14.What comes next? 49, 44, 39, 34, 29, ? (a) 24 (b) 25 (c) 23 (d) 19
  15. 15.What comes next? 3, 11, 8, 16, 13, 21, ? (a) 17 (b) 29 (c) 24 (d) 18
  16. 16.What comes next? 3, 7, 5, 9, 7, 11, ? (a) 13 (b) 15 (c) 8 (d) 9
  17. 17.What comes next? 57, 50, 43, 36, 29, ? (a) 23 (b) 15 (c) 21 (d) 22
  18. 18.What comes next? 3, 6, 9, 12, 15, ? (a) 17 (b) 19 (c) 21 (d) 18
  19. 19.What comes next? 9, 20, 31, 42, 53, ? (a) 65 (b) 64 (c) 75 (d) 63
  20. 20.What comes next? 5, 12, 11, 18, 17, 24, ? (a) 22 (b) 31 (c) 25 (d) 23
  21. 21.What comes next? 18, 22, 21, 25, 24, 28, ? (a) 29 (b) 26 (c) 27 (d) 32
  22. 22.What comes next? 26, 21, 16, 11, 6, ? (a) 1 (b) 4 (c) 2 (d) 3
  23. 23.What comes next? 12, 17, 15, 20, 18, 23, ? (a) 21 (b) 28 (c) 25 (d) 20
  24. 24.What comes next? 19, 20, 22, 25, 29, ? (a) 35 (b) 34 (c) 36 (d) 33
  25. 25.What comes next? 23, 29, 35, 41, 47, ? (a) 53 (b) 54 (c) 59 (d) 52
  26. 26.What comes next? 10, 13, 16, 19, 22, ? (a) 26 (b) 24 (c) 28 (d) 25
  27. 27.What comes next? 35, 33, 31, 29, 27, ? (a) 25 (b) 26 (c) 24 (d) 23
  28. 28.What comes next? 9, 12, 16, 21, 27, ? (a) 34 (b) 35 (c) 33 (d) 36
  29. 29.What comes next? 52, 44, 36, 28, 20, ? (a) 13 (b) 4 (c) 12 (d) 11
  30. 30.What comes next? 16, 20, 17, 21, 18, 22, ? (a) 18 (b) 26 (c) 25 (d) 19
  31. 31.What comes next? 38, 34, 30, 26, 22, ? (a) 19 (b) 18 (c) 17 (d) 14
  32. 32.What comes next? 17, 26, 22, 31, 27, 36, ? (a) 32 (b) 31 (c) 45 (d) 40
  33. 33.What comes next? 1, 2, 4, 7, 11, ? (a) 16 (b) 17 (c) 18 (d) 15
  34. 34.What comes next? 17, 20, 24, 29, 35, ? (a) 41 (b) 44 (c) 42 (d) 43
  35. 35.What comes next? 4, 7, 6, 9, 8, 11, ? (a) 9 (b) 10 (c) 14 (d) 12
  36. 36.What comes next? 7, 16, 13, 22, 19, 28, ? (a) 31 (b) 25 (c) 24 (d) 37
  37. 37.What comes next? 13, 15, 18, 22, 27, ? (a) 34 (b) 35 (c) 33 (d) 32
  38. 38.What comes next? 1, 9, 3, 11, 5, 13, ? (a) 21 (b) 6 (c) 19 (d) 7
  39. 39.What comes next? 5, 14, 23, 32, 41, ? (a) 51 (b) 49 (c) 50 (d) 59
  40. 40.What comes next? 30, 25, 20, 15, 10, ? (a) 4 (b) 6 (c) 7 (d) 5

Answer key

  1. 9
  2. 64
  3. 44
  4. 20
  5. 96
  6. 162
  7. 12
  8. 13
  9. 53
  10. 15
  11. 40
  12. 33
  13. 81
  14. 24
  15. 18
  16. 9
  17. 22
  18. 18
  19. 64
  20. 23
  21. 27
  22. 1
  23. 21
  24. 34
  25. 53
  26. 25
  27. 25
  28. 34
  29. 12
  30. 19
  31. 18
  32. 32
  33. 16
  34. 42
  35. 10
  36. 25
  37. 33
  38. 7
  39. 50
  40. 5

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