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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 910 · 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? 3, 9, 27, 81, ? (a) 216 (b) 270 (c) 135 (d) 243
  2. 2.What comes next? 5, 9, 14, 20, 27, ? (a) 36 (b) 37 (c) 34 (d) 35
  3. 3.What comes next? 9, 12, 15, 18, 21, ? (a) 27 (b) 25 (c) 24 (d) 23
  4. 4.What comes next? 14, 23, 32, 41, 50, ? (a) 59 (b) 58 (c) 60 (d) 68
  5. 5.What comes next? 22, 18, 14, 10, 6, ? (a) 2 (b) 4 (c) 1 (d) 3
  6. 6.What comes next? 6, 10, 9, 13, 12, 16, ? (a) 20 (b) 14 (c) 17 (d) 15
  7. 7.What comes next? 17, 20, 24, 29, 35, ? (a) 42 (b) 43 (c) 41 (d) 44
  8. 8.What comes next? 6, 10, 15, 21, 28, ? (a) 38 (b) 37 (c) 35 (d) 36
  9. 9.What comes next? 18, 21, 20, 23, 22, 25, ? (a) 28 (b) 26 (c) 24 (d) 23
  10. 10.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 40 (c) 24 (d) 33
  11. 11.What comes next? 8, 18, 28, 38, 48, ? (a) 58 (b) 57 (c) 68 (d) 59
  12. 12.What comes next? 52, 47, 42, 37, 32, ? (a) 26 (b) 22 (c) 27 (d) 28
  13. 13.What comes next? 6, 7, 9, 12, 16, ? (a) 23 (b) 22 (c) 21 (d) 20
  14. 14.What comes next? 4, 7, 11, 16, 22, ? (a) 29 (b) 31 (c) 28 (d) 30
  15. 15.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 162 (c) 144 (d) 90
  16. 16.What comes next? 32, 30, 28, 26, 24, ? (a) 20 (b) 21 (c) 22 (d) 23
  17. 17.What comes next? 11, 15, 19, 23, 27, ? (a) 32 (b) 30 (c) 35 (d) 31
  18. 18.What comes next? 26, 23, 20, 17, 14, ? (a) 11 (b) 12 (c) 10 (d) 8
  19. 19.What comes next? 47, 38, 29, 20, 11, ? (a) 2 (b) 3 (c) 1 (d) 4
  20. 20.What comes next? 37, 35, 33, 31, 29, ? (a) 27 (b) 28 (c) 25 (d) 26
  21. 21.What comes next? 14, 16, 19, 23, 28, ? (a) 33 (b) 36 (c) 34 (d) 35
  22. 22.What comes next? 66, 57, 48, 39, 30, ? (a) 20 (b) 12 (c) 22 (d) 21
  23. 23.What comes next? 49, 45, 41, 37, 33, ? (a) 30 (b) 28 (c) 25 (d) 29
  24. 24.What comes next? 19, 28, 27, 36, 35, 44, ? (a) 53 (b) 42 (c) 43 (d) 45
  25. 25.What comes next? 12, 16, 21, 27, 34, ? (a) 42 (b) 44 (c) 41 (d) 43
  26. 26.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 192 (c) 144 (d) 240
  27. 27.What comes next? 7, 14, 12, 19, 17, 24, ? (a) 26 (b) 31 (c) 21 (d) 22
  28. 28.What comes next? 44, 40, 36, 32, 28, ? (a) 23 (b) 20 (c) 24 (d) 25
  29. 29.What comes next? 5, 12, 6, 13, 7, 14, ? (a) 7 (b) 8 (c) 20 (d) 21
  30. 30.What comes next? 18, 21, 25, 30, 36, ? (a) 44 (b) 42 (c) 45 (d) 43
  31. 31.What comes next? 26, 36, 46, 56, 66, ? (a) 75 (b) 76 (c) 77 (d) 86
  32. 32.What comes next? 7, 16, 15, 24, 23, 32, ? (a) 31 (b) 33 (c) 41 (d) 30
  33. 33.What comes next? 10, 16, 15, 21, 20, 26, ? (a) 24 (b) 32 (c) 27 (d) 25
  34. 34.What comes next? 24, 36, 48, 60, 72, ? (a) 85 (b) 84 (c) 83 (d) 96
  35. 35.What comes next? 11, 13, 16, 20, 25, ? (a) 30 (b) 32 (c) 33 (d) 31
  36. 36.What comes next? 50, 43, 36, 29, 22, ? (a) 16 (b) 8 (c) 15 (d) 14
  37. 37.What comes next? 43, 35, 27, 19, 11, ? (a) 4 (b) 2 (c) 5 (d) 3
  38. 38.What comes next? 5, 12, 7, 14, 9, 16, ? (a) 23 (b) 10 (c) 11 (d) 21
  39. 39.What comes next? 9, 11, 13, 15, 17, ? (a) 21 (b) 18 (c) 19 (d) 20
  40. 40.What comes next? 52, 43, 34, 25, 16, ? (a) 6 (b) 7 (c) 9 (d) 8

Answer key

  1. 243
  2. 35
  3. 24
  4. 59
  5. 2
  6. 15
  7. 42
  8. 36
  9. 24
  10. 32
  11. 58
  12. 27
  13. 21
  14. 29
  15. 162
  16. 22
  17. 31
  18. 11
  19. 2
  20. 27
  21. 34
  22. 21
  23. 29
  24. 43
  25. 42
  26. 192
  27. 22
  28. 24
  29. 8
  30. 43
  31. 76
  32. 31
  33. 25
  34. 84
  35. 31
  36. 15
  37. 3
  38. 11
  39. 19
  40. 7

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