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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 832 · 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? 5, 13, 10, 18, 15, 23, ? (a) 20 (b) 19 (c) 26 (d) 31
  2. 2.What comes next? 13, 15, 17, 19, 21, ? (a) 25 (b) 23 (c) 22 (d) 24
  3. 3.What comes next? 25, 21, 17, 13, 9, ? (a) 6 (b) 5 (c) 4 (d) 1
  4. 4.What comes next? 28, 39, 50, 61, 72, ? (a) 83 (b) 82 (c) 84 (d) 94
  5. 5.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 90 (c) 81 (d) 45
  6. 6.What comes next? 30, 26, 22, 18, 14, ? (a) 10 (b) 6 (c) 9 (d) 11
  7. 7.What comes next? 27, 24, 21, 18, 15, ? (a) 9 (b) 11 (c) 12 (d) 13
  8. 8.What comes next? 16, 13, 10, 7, 4, ? (a) 2 (b) 1 (c) 3 (d) 4
  9. 9.What comes next? 7, 10, 14, 19, 25, ? (a) 32 (b) 33 (c) 34 (d) 31
  10. 10.What comes next? 2, 9, 7, 14, 12, 19, ? (a) 16 (b) 21 (c) 26 (d) 17
  11. 11.What comes next? 36, 33, 30, 27, 24, ? (a) 20 (b) 18 (c) 21 (d) 22
  12. 12.What comes next? 2, 7, 12, 17, 22, ? (a) 26 (b) 27 (c) 32 (d) 28
  13. 13.What comes next? 27, 31, 35, 39, 43, ? (a) 51 (b) 46 (c) 47 (d) 48
  14. 14.What comes next? 2, 10, 18, 26, 34, ? (a) 43 (b) 50 (c) 42 (d) 41
  15. 15.What comes next? 26, 22, 18, 14, 10, ? (a) 6 (b) 2 (c) 5 (d) 7
  16. 16.What comes next? 13, 14, 16, 19, 23, ? (a) 29 (b) 28 (c) 30 (d) 27
  17. 17.What comes next? 13, 17, 22, 28, 35, ? (a) 43 (b) 44 (c) 42 (d) 45
  18. 18.What comes next? 10, 12, 15, 19, 24, ? (a) 29 (b) 32 (c) 30 (d) 31
  19. 19.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 32 (c) 24 (d) 40
  20. 20.What comes next? 17, 25, 33, 41, 49, ? (a) 56 (b) 58 (c) 65 (d) 57
  21. 21.What comes next? 6, 13, 7, 14, 8, 15, ? (a) 9 (b) 22 (c) 21 (d) 8
  22. 22.What comes next? 17, 22, 27, 32, 37, ? (a) 43 (b) 41 (c) 42 (d) 47
  23. 23.What comes next? 22, 29, 36, 43, 50, ? (a) 56 (b) 58 (c) 64 (d) 57
  24. 24.What comes next? 69, 61, 53, 45, 37, ? (a) 30 (b) 29 (c) 21 (d) 28
  25. 25.What comes next? 32, 29, 26, 23, 20, ? (a) 14 (b) 18 (c) 17 (d) 16
  26. 26.What comes next? 4, 11, 5, 12, 6, 13, ? (a) 19 (b) 20 (c) 7 (d) 6
  27. 27.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 96 (c) 97 (d) 72
  28. 28.What comes next? 43, 35, 27, 19, 11, ? (a) 3 (b) 5 (c) 4 (d) 2
  29. 29.What comes next? 5, 9, 8, 12, 11, 15, ? (a) 16 (b) 19 (c) 13 (d) 14
  30. 30.What comes next? 6, 7, 9, 12, 16, ? (a) 20 (b) 23 (c) 22 (d) 21
  31. 31.What comes next? 15, 17, 20, 24, 29, ? (a) 36 (b) 34 (c) 35 (d) 37
  32. 32.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 48 (c) 65 (d) 64
  33. 33.What comes next? 17, 20, 19, 22, 21, 24, ? (a) 22 (b) 25 (c) 23 (d) 27
  34. 34.What comes next? 61, 52, 43, 34, 25, ? (a) 16 (b) 7 (c) 17 (d) 15
  35. 35.What comes next? 13, 18, 17, 22, 21, 26, ? (a) 24 (b) 25 (c) 31 (d) 27
  36. 36.What comes next? 11, 14, 12, 15, 13, 16, ? (a) 18 (b) 14 (c) 13 (d) 19
  37. 37.What comes next? 16, 21, 18, 23, 20, 25, ? (a) 22 (b) 30 (c) 28 (d) 21
  38. 38.What comes next? 22, 24, 26, 28, 30, ? (a) 33 (b) 31 (c) 34 (d) 32
  39. 39.What comes next? 7, 11, 16, 22, 29, ? (a) 36 (b) 37 (c) 39 (d) 38
  40. 40.What comes next? 13, 19, 14, 20, 15, 21, ? (a) 26 (b) 27 (c) 16 (d) 15

Answer key

  1. 20
  2. 23
  3. 5
  4. 83
  5. 81
  6. 10
  7. 12
  8. 1
  9. 32
  10. 17
  11. 21
  12. 27
  13. 47
  14. 42
  15. 6
  16. 28
  17. 43
  18. 30
  19. 32
  20. 57
  21. 9
  22. 42
  23. 57
  24. 29
  25. 17
  26. 7
  27. 96
  28. 3
  29. 14
  30. 21
  31. 35
  32. 64
  33. 23
  34. 16
  35. 25
  36. 14
  37. 22
  38. 32
  39. 37
  40. 16

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