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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 688 · 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? 15, 23, 18, 26, 21, 29, ? (a) 23 (b) 34 (c) 37 (d) 24
  2. 2.What comes next? 33, 28, 23, 18, 13, ? (a) 7 (b) 9 (c) 3 (d) 8
  3. 3.What comes next? 40, 35, 30, 25, 20, ? (a) 10 (b) 16 (c) 14 (d) 15
  4. 4.What comes next? 4, 6, 9, 13, 18, ? (a) 23 (b) 25 (c) 26 (d) 24
  5. 5.What comes next? 54, 45, 36, 27, 18, ? (a) 8 (b) 10 (c) 11 (d) 9
  6. 6.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 65 (c) 64 (d) 80
  7. 7.What comes next? 10, 18, 26, 34, 42, ? (a) 49 (b) 58 (c) 51 (d) 50
  8. 8.What comes next? 6, 9, 13, 18, 24, ? (a) 32 (b) 33 (c) 31 (d) 30
  9. 9.What comes next? 6, 11, 7, 12, 8, 13, ? (a) 17 (b) 8 (c) 9 (d) 18
  10. 10.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 120 (c) 72 (d) 96
  11. 11.What comes next? 7, 11, 15, 19, 23, ? (a) 27 (b) 26 (c) 28 (d) 31
  12. 12.What comes next? 4, 9, 8, 13, 12, 17, ? (a) 18 (b) 16 (c) 22 (d) 15
  13. 13.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 193 (c) 144 (d) 192
  14. 14.What comes next? 19, 23, 20, 24, 21, 25, ? (a) 21 (b) 29 (c) 22 (d) 28
  15. 15.What comes next? 6, 10, 15, 21, 28, ? (a) 37 (b) 35 (c) 36 (d) 38
  16. 16.What comes next? 18, 20, 23, 27, 32, ? (a) 38 (b) 40 (c) 37 (d) 39
  17. 17.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 180 (c) 144 (d) 162
  18. 18.What comes next? 2, 5, 3, 6, 4, 7, ? (a) 4 (b) 5 (c) 9 (d) 10
  19. 19.What comes next? 1, 8, 5, 12, 9, 16, ? (a) 23 (b) 19 (c) 12 (d) 13
  20. 20.What comes next? 54, 47, 40, 33, 26, ? (a) 18 (b) 12 (c) 19 (d) 20
  21. 21.What comes next? 8, 10, 13, 17, 22, ? (a) 30 (b) 27 (c) 28 (d) 29
  22. 22.What comes next? 16, 18, 21, 25, 30, ? (a) 35 (b) 37 (c) 36 (d) 38
  23. 23.What comes next? 34, 29, 24, 19, 14, ? (a) 10 (b) 9 (c) 4 (d) 8
  24. 24.What comes next? 8, 12, 11, 15, 14, 18, ? (a) 19 (b) 17 (c) 16 (d) 22
  25. 25.What comes next? 27, 37, 47, 57, 67, ? (a) 78 (b) 77 (c) 76 (d) 87
  26. 26.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 72 (d) 81
  27. 27.What comes next? 12, 21, 19, 28, 26, 35, ? (a) 44 (b) 37 (c) 33 (d) 32
  28. 28.What comes next? 21, 18, 15, 12, 9, ? (a) 7 (b) 3 (c) 5 (d) 6
  29. 29.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 270 (c) 135 (d) 243
  30. 30.What comes next? 19, 30, 41, 52, 63, ? (a) 85 (b) 74 (c) 75 (d) 73
  31. 31.What comes next? 10, 12, 14, 16, 18, ? (a) 22 (b) 21 (c) 20 (d) 19
  32. 32.What comes next? 9, 15, 11, 17, 13, 19, ? (a) 15 (b) 23 (c) 14 (d) 25
  33. 33.What comes next? 20, 28, 36, 44, 52, ? (a) 59 (b) 61 (c) 68 (d) 60
  34. 34.What comes next? 11, 13, 16, 20, 25, ? (a) 30 (b) 33 (c) 32 (d) 31
  35. 35.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 200 (c) 160 (d) 120
  36. 36.What comes next? 75, 66, 57, 48, 39, ? (a) 29 (b) 30 (c) 21 (d) 31
  37. 37.What comes next? 14, 15, 17, 20, 24, ? (a) 28 (b) 29 (c) 31 (d) 30
  38. 38.What comes next? 24, 35, 46, 57, 68, ? (a) 79 (b) 90 (c) 80 (d) 78
  39. 39.What comes next? 6, 8, 11, 15, 20, ? (a) 28 (b) 27 (c) 26 (d) 25
  40. 40.What comes next? 4, 8, 12, 16, 20, ? (a) 23 (b) 24 (c) 28 (d) 25

Answer key

  1. 24
  2. 8
  3. 15
  4. 24
  5. 9
  6. 64
  7. 50
  8. 31
  9. 9
  10. 96
  11. 27
  12. 16
  13. 192
  14. 22
  15. 36
  16. 38
  17. 162
  18. 5
  19. 13
  20. 19
  21. 28
  22. 36
  23. 9
  24. 17
  25. 77
  26. 81
  27. 33
  28. 6
  29. 243
  30. 74
  31. 20
  32. 15
  33. 60
  34. 31
  35. 160
  36. 30
  37. 29
  38. 79
  39. 26
  40. 24

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