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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 795 · 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? 50, 42, 34, 26, 18, ? (a) 2 (b) 9 (c) 11 (d) 10
  2. 2.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 90 (c) 45 (d) 81
  3. 3.What comes next? 7, 8, 10, 13, 17, ? (a) 23 (b) 21 (c) 24 (d) 22
  4. 4.What comes next? 12, 14, 17, 21, 26, ? (a) 31 (b) 33 (c) 34 (d) 32
  5. 5.What comes next? 5, 9, 6, 10, 7, 11, ? (a) 14 (b) 8 (c) 15 (d) 7
  6. 6.What comes next? 57, 48, 39, 30, 21, ? (a) 11 (b) 13 (c) 12 (d) 3
  7. 7.What comes next? 8, 12, 10, 14, 12, 16, ? (a) 18 (b) 20 (c) 14 (d) 13
  8. 8.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 33 (c) 32 (d) 40
  9. 9.What comes next? 14, 21, 28, 35, 42, ? (a) 48 (b) 50 (c) 56 (d) 49
  10. 10.What comes next? 2, 9, 4, 11, 6, 13, ? (a) 20 (b) 7 (c) 8 (d) 18
  11. 11.What comes next? 29, 31, 33, 35, 37, ? (a) 40 (b) 41 (c) 38 (d) 39
  12. 12.What comes next? 1, 3, 6, 10, 15, ? (a) 21 (b) 20 (c) 22 (d) 23
  13. 13.What comes next? 3, 4, 6, 9, 13, ? (a) 17 (b) 19 (c) 20 (d) 18
  14. 14.What comes next? 4, 13, 8, 17, 12, 21, ? (a) 16 (b) 15 (c) 30 (d) 26
  15. 15.What comes next? 15, 13, 11, 9, 7, ? (a) 4 (b) 5 (c) 6 (d) 3
  16. 16.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 192 (c) 240 (d) 144
  17. 17.What comes next? 7, 10, 8, 11, 9, 12, ? (a) 15 (b) 14 (c) 9 (d) 10
  18. 18.What comes next? 3, 5, 8, 12, 17, ? (a) 25 (b) 24 (c) 23 (d) 22
  19. 19.What comes next? 12, 17, 13, 18, 14, 19, ? (a) 14 (b) 23 (c) 15 (d) 24
  20. 20.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 96 (c) 97 (d) 72
  21. 21.What comes next? 31, 25, 19, 13, 7, ? (a) 2 (b) 4 (c) 1 (d) 3
  22. 22.What comes next? 14, 19, 24, 29, 34, ? (a) 40 (b) 38 (c) 44 (d) 39
  23. 23.What comes next? 9, 13, 18, 24, 31, ? (a) 38 (b) 39 (c) 40 (d) 41
  24. 24.What comes next? 19, 20, 22, 25, 29, ? (a) 33 (b) 35 (c) 34 (d) 36
  25. 25.What comes next? 9, 13, 17, 21, 25, ? (a) 30 (b) 29 (c) 28 (d) 33
  26. 26.What comes next? 4, 5, 7, 10, 14, ? (a) 19 (b) 20 (c) 18 (d) 21
  27. 27.What comes next? 10, 14, 19, 25, 32, ? (a) 41 (b) 42 (c) 39 (d) 40
  28. 28.What comes next? 27, 32, 37, 42, 47, ? (a) 57 (b) 51 (c) 53 (d) 52
  29. 29.What comes next? 17, 14, 11, 8, 5, ? (a) 1 (b) 4 (c) 2 (d) 3
  30. 30.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 243 (c) 135 (d) 216
  31. 31.What comes next? 11, 15, 19, 23, 27, ? (a) 30 (b) 32 (c) 31 (d) 35
  32. 32.What comes next? 18, 21, 19, 22, 20, 23, ? (a) 26 (b) 20 (c) 21 (d) 25
  33. 33.What comes next? 14, 22, 18, 26, 22, 30, ? (a) 25 (b) 34 (c) 38 (d) 26
  34. 34.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 80 (c) 64 (d) 65
  35. 35.What comes next? 10, 11, 13, 16, 20, ? (a) 24 (b) 27 (c) 25 (d) 26
  36. 36.What comes next? 64, 57, 50, 43, 36, ? (a) 22 (b) 28 (c) 29 (d) 30
  37. 37.What comes next? 17, 19, 21, 23, 25, ? (a) 27 (b) 29 (c) 26 (d) 28
  38. 38.What comes next? 2, 8, 3, 9, 4, 10, ? (a) 15 (b) 16 (c) 4 (d) 5
  39. 39.What comes next? 9, 18, 13, 22, 17, 26, ? (a) 21 (b) 35 (c) 20 (d) 31
  40. 40.What comes next? 25, 23, 21, 19, 17, ? (a) 13 (b) 15 (c) 16 (d) 14

Answer key

  1. 10
  2. 81
  3. 22
  4. 32
  5. 8
  6. 12
  7. 14
  8. 32
  9. 49
  10. 8
  11. 39
  12. 21
  13. 18
  14. 16
  15. 5
  16. 192
  17. 10
  18. 23
  19. 15
  20. 96
  21. 1
  22. 39
  23. 39
  24. 34
  25. 29
  26. 19
  27. 40
  28. 52
  29. 2
  30. 243
  31. 31
  32. 21
  33. 26
  34. 64
  35. 25
  36. 29
  37. 27
  38. 5
  39. 21
  40. 15

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