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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 911 · 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? 21, 18, 15, 12, 9, ? (a) 7 (b) 3 (c) 6 (d) 5
  2. 2.What comes next? 19, 25, 23, 29, 27, 33, ? (a) 35 (b) 30 (c) 31 (d) 39
  3. 3.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 90 (c) 144 (d) 180
  4. 4.What comes next? 28, 32, 36, 40, 44, ? (a) 52 (b) 49 (c) 47 (d) 48
  5. 5.What comes next? 18, 23, 22, 27, 26, 31, ? (a) 29 (b) 30 (c) 36 (d) 32
  6. 6.What comes next? 25, 34, 43, 52, 61, ? (a) 79 (b) 69 (c) 71 (d) 70
  7. 7.What comes next? 17, 18, 20, 23, 27, ? (a) 34 (b) 31 (c) 33 (d) 32
  8. 8.What comes next? 43, 37, 31, 25, 19, ? (a) 14 (b) 12 (c) 13 (d) 7
  9. 9.What comes next? 20, 23, 27, 32, 38, ? (a) 44 (b) 45 (c) 47 (d) 46
  10. 10.What comes next? 20, 21, 23, 26, 30, ? (a) 37 (b) 35 (c) 34 (d) 36
  11. 11.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 96 (c) 120 (d) 97
  12. 12.What comes next? 21, 33, 45, 57, 69, ? (a) 93 (b) 82 (c) 81 (d) 80
  13. 13.What comes next? 8, 17, 26, 35, 44, ? (a) 54 (b) 52 (c) 53 (d) 62
  14. 14.What comes next? 20, 27, 25, 32, 30, 37, ? (a) 39 (b) 44 (c) 35 (d) 34
  15. 15.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 81 (c) 72 (d) 90
  16. 16.What comes next? 31, 25, 19, 13, 7, ? (a) 1 (b) 3 (c) 4 (d) 2
  17. 17.What comes next? 9, 13, 18, 24, 31, ? (a) 38 (b) 40 (c) 39 (d) 41
  18. 18.What comes next? 10, 12, 14, 16, 18, ? (a) 21 (b) 22 (c) 20 (d) 19
  19. 19.What comes next? 24, 27, 30, 33, 36, ? (a) 38 (b) 40 (c) 39 (d) 42
  20. 20.What comes next? 15, 17, 20, 24, 29, ? (a) 34 (b) 36 (c) 35 (d) 37
  21. 21.What comes next? 22, 34, 46, 58, 70, ? (a) 82 (b) 94 (c) 83 (d) 81
  22. 22.What comes next? 27, 35, 43, 51, 59, ? (a) 68 (b) 75 (c) 67 (d) 66
  23. 23.What comes next? 9, 10, 12, 15, 19, ? (a) 25 (b) 26 (c) 24 (d) 23
  24. 24.What comes next? 16, 25, 20, 29, 24, 33, ? (a) 38 (b) 42 (c) 27 (d) 28
  25. 25.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 40 (c) 33 (d) 32
  26. 26.What comes next? 38, 35, 32, 29, 26, ? (a) 23 (b) 22 (c) 24 (d) 20
  27. 27.What comes next? 48, 43, 38, 33, 28, ? (a) 23 (b) 22 (c) 18 (d) 24
  28. 28.What comes next? 16, 20, 25, 31, 38, ? (a) 48 (b) 46 (c) 47 (d) 45
  29. 29.What comes next? 20, 24, 23, 27, 26, 30, ? (a) 29 (b) 28 (c) 34 (d) 31
  30. 30.What comes next? 17, 23, 29, 35, 41, ? (a) 46 (b) 48 (c) 47 (d) 53
  31. 31.What comes next? 11, 12, 14, 17, 21, ? (a) 27 (b) 25 (c) 28 (d) 26
  32. 32.What comes next? 25, 36, 47, 58, 69, ? (a) 91 (b) 79 (c) 81 (d) 80
  33. 33.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 200 (c) 120 (d) 160
  34. 34.What comes next? 8, 12, 17, 23, 30, ? (a) 40 (b) 39 (c) 38 (d) 37
  35. 35.What comes next? 7, 10, 14, 19, 25, ? (a) 32 (b) 34 (c) 31 (d) 33
  36. 36.What comes next? 13, 17, 22, 28, 35, ? (a) 44 (b) 43 (c) 45 (d) 42
  37. 37.What comes next? 18, 22, 26, 30, 34, ? (a) 38 (b) 39 (c) 42 (d) 37
  38. 38.What comes next? 5, 15, 25, 35, 45, ? (a) 65 (b) 54 (c) 55 (d) 56
  39. 39.What comes next? 3, 6, 4, 7, 5, 8, ? (a) 6 (b) 10 (c) 5 (d) 11
  40. 40.What comes next? 7, 10, 8, 11, 9, 12, ? (a) 9 (b) 15 (c) 10 (d) 14

Answer key

  1. 6
  2. 31
  3. 162
  4. 48
  5. 30
  6. 70
  7. 32
  8. 13
  9. 45
  10. 35
  11. 96
  12. 81
  13. 53
  14. 35
  15. 81
  16. 1
  17. 39
  18. 20
  19. 39
  20. 35
  21. 82
  22. 67
  23. 24
  24. 28
  25. 32
  26. 23
  27. 23
  28. 46
  29. 29
  30. 47
  31. 26
  32. 80
  33. 160
  34. 38
  35. 32
  36. 43
  37. 38
  38. 55
  39. 6
  40. 10

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