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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 718 · 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? 4, 10, 16, 22, 28, ? (a) 35 (b) 40 (c) 34 (d) 33
  2. 2.What comes next? 18, 15, 12, 9, 6, ? (a) 2 (b) 4 (c) 3 (d) 5
  3. 3.What comes next? 52, 44, 36, 28, 20, ? (a) 13 (b) 11 (c) 12 (d) 4
  4. 4.What comes next? 19, 22, 21, 24, 23, 26, ? (a) 29 (b) 25 (c) 24 (d) 27
  5. 5.What comes next? 48, 39, 30, 21, 12, ? (a) 4 (b) 5 (c) 2 (d) 3
  6. 6.What comes next? 18, 22, 27, 33, 40, ? (a) 50 (b) 48 (c) 49 (d) 47
  7. 7.What comes next? 23, 34, 45, 56, 67, ? (a) 89 (b) 77 (c) 79 (d) 78
  8. 8.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 81 (c) 45 (d) 72
  9. 9.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 120 (c) 200 (d) 161
  10. 10.What comes next? 39, 33, 27, 21, 15, ? (a) 8 (b) 3 (c) 9 (d) 10
  11. 11.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 48 (c) 65 (d) 80
  12. 12.What comes next? 44, 41, 38, 35, 32, ? (a) 28 (b) 30 (c) 29 (d) 26
  13. 13.What comes next? 15, 20, 16, 21, 17, 22, ? (a) 27 (b) 26 (c) 18 (d) 17
  14. 14.What comes next? 15, 13, 11, 9, 7, ? (a) 3 (b) 6 (c) 5 (d) 4
  15. 15.What comes next? 33, 27, 21, 15, 9, ? (a) 4 (b) 5 (c) 3 (d) 2
  16. 16.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 162 (c) 90 (d) 180
  17. 17.What comes next? 18, 16, 14, 12, 10, ? (a) 6 (b) 7 (c) 8 (d) 9
  18. 18.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 33 (c) 40 (d) 24
  19. 19.What comes next? 5, 8, 11, 14, 17, ? (a) 21 (b) 20 (c) 19 (d) 23
  20. 20.What comes next? 58, 51, 44, 37, 30, ? (a) 16 (b) 24 (c) 23 (d) 22
  21. 21.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 97 (c) 120 (d) 96
  22. 22.What comes next? 26, 33, 40, 47, 54, ? (a) 61 (b) 60 (c) 62 (d) 68
  23. 23.What comes next? 4, 5, 7, 10, 14, ? (a) 21 (b) 20 (c) 19 (d) 18
  24. 24.What comes next? 18, 22, 20, 24, 22, 26, ? (a) 24 (b) 30 (c) 23 (d) 28
  25. 25.What comes next? 9, 17, 25, 33, 41, ? (a) 48 (b) 49 (c) 57 (d) 50
  26. 26.What comes next? 6, 14, 13, 21, 20, 28, ? (a) 27 (b) 36 (c) 26 (d) 29
  27. 27.What comes next? 22, 27, 32, 37, 42, ? (a) 48 (b) 52 (c) 46 (d) 47
  28. 28.What comes next? 16, 22, 28, 34, 40, ? (a) 47 (b) 52 (c) 46 (d) 45
  29. 29.What comes next? 19, 23, 28, 34, 41, ? (a) 51 (b) 50 (c) 48 (d) 49
  30. 30.What comes next? 30, 39, 48, 57, 66, ? (a) 84 (b) 75 (c) 76 (d) 74
  31. 31.What comes next? 23, 33, 43, 53, 63, ? (a) 72 (b) 83 (c) 74 (d) 73
  32. 32.What comes next? 6, 10, 14, 18, 22, ? (a) 25 (b) 26 (c) 27 (d) 30
  33. 33.What comes next? 16, 19, 23, 28, 34, ? (a) 43 (b) 41 (c) 40 (d) 42
  34. 34.What comes next? 46, 42, 38, 34, 30, ? (a) 25 (b) 26 (c) 22 (d) 27
  35. 35.What comes next? 16, 20, 17, 21, 18, 22, ? (a) 18 (b) 26 (c) 25 (d) 19
  36. 36.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 192 (c) 193 (d) 144
  37. 37.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 128 (c) 96 (d) 160
  38. 38.What comes next? 27, 24, 21, 18, 15, ? (a) 9 (b) 12 (c) 13 (d) 11
  39. 39.What comes next? 12, 21, 17, 26, 22, 31, ? (a) 35 (b) 40 (c) 27 (d) 26
  40. 40.What comes next? 5, 6, 8, 11, 15, ? (a) 19 (b) 20 (c) 21 (d) 22

Answer key

  1. 34
  2. 3
  3. 12
  4. 25
  5. 3
  6. 48
  7. 78
  8. 81
  9. 160
  10. 9
  11. 64
  12. 29
  13. 18
  14. 5
  15. 3
  16. 162
  17. 8
  18. 32
  19. 20
  20. 23
  21. 96
  22. 61
  23. 19
  24. 24
  25. 49
  26. 27
  27. 47
  28. 46
  29. 49
  30. 75
  31. 73
  32. 26
  33. 41
  34. 26
  35. 19
  36. 192
  37. 128
  38. 12
  39. 27
  40. 20

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