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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 913 · 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? 55, 49, 43, 37, 31, ? (a) 24 (b) 26 (c) 25 (d) 19
  2. 2.What comes next? 24, 20, 16, 12, 8, ? (a) 6 (b) 4 (c) 5 (d) 3
  3. 3.What comes next? 6, 12, 24, 48, 96, ? (a) 192 (b) 193 (c) 240 (d) 144
  4. 4.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 90 (c) 180 (d) 162
  5. 5.What comes next? 18, 15, 12, 9, 6, ? (a) 2 (b) 4 (c) 5 (d) 3
  6. 6.What comes next? 1, 9, 3, 11, 5, 13, ? (a) 6 (b) 7 (c) 21 (d) 19
  7. 7.What comes next? 38, 32, 26, 20, 14, ? (a) 9 (b) 8 (c) 7 (d) 2
  8. 8.What comes next? 12, 15, 19, 24, 30, ? (a) 36 (b) 38 (c) 39 (d) 37
  9. 9.What comes next? 53, 44, 35, 26, 17, ? (a) 8 (b) 10 (c) 9 (d) 7
  10. 10.What comes next? 30, 27, 24, 21, 18, ? (a) 16 (b) 12 (c) 15 (d) 14
  11. 11.What comes next? 20, 29, 27, 36, 34, 43, ? (a) 52 (b) 40 (c) 45 (d) 41
  12. 12.What comes next? 13, 22, 18, 27, 23, 32, ? (a) 41 (b) 27 (c) 28 (d) 36
  13. 13.What comes next? 36, 32, 28, 24, 20, ? (a) 17 (b) 16 (c) 15 (d) 12
  14. 14.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 81 (c) 45 (d) 90
  15. 15.What comes next? 7, 10, 9, 12, 11, 14, ? (a) 13 (b) 17 (c) 12 (d) 15
  16. 16.What comes next? 58, 49, 40, 31, 22, ? (a) 12 (b) 14 (c) 13 (d) 4
  17. 17.What comes next? 26, 23, 20, 17, 14, ? (a) 11 (b) 8 (c) 10 (d) 12
  18. 18.What comes next? 11, 19, 27, 35, 43, ? (a) 51 (b) 52 (c) 50 (d) 59
  19. 19.What comes next? 13, 24, 35, 46, 57, ? (a) 69 (b) 79 (c) 68 (d) 67
  20. 20.What comes next? 53, 47, 41, 35, 29, ? (a) 17 (b) 24 (c) 22 (d) 23
  21. 21.What comes next? 63, 56, 49, 42, 35, ? (a) 28 (b) 29 (c) 27 (d) 21
  22. 22.What comes next? 24, 27, 30, 33, 36, ? (a) 42 (b) 38 (c) 40 (d) 39
  23. 23.What comes next? 11, 12, 14, 17, 21, ? (a) 28 (b) 25 (c) 27 (d) 26
  24. 24.What comes next? 19, 21, 23, 25, 27, ? (a) 30 (b) 31 (c) 28 (d) 29
  25. 25.What comes next? 7, 11, 16, 22, 29, ? (a) 37 (b) 38 (c) 39 (d) 36
  26. 26.What comes next? 25, 23, 21, 19, 17, ? (a) 13 (b) 16 (c) 14 (d) 15
  27. 27.What comes next? 11, 15, 12, 16, 13, 17, ? (a) 21 (b) 14 (c) 13 (d) 20
  28. 28.What comes next? 6, 12, 18, 24, 30, ? (a) 36 (b) 42 (c) 35 (d) 37
  29. 29.What comes next? 9, 10, 12, 15, 19, ? (a) 23 (b) 25 (c) 24 (d) 26
  30. 30.What comes next? 2, 3, 5, 8, 12, ? (a) 18 (b) 19 (c) 17 (d) 16
  31. 31.What comes next? 3, 5, 8, 12, 17, ? (a) 24 (b) 23 (c) 25 (d) 22
  32. 32.What comes next? 20, 28, 22, 30, 24, 32, ? (a) 26 (b) 38 (c) 25 (d) 40
  33. 33.What comes next? 2, 7, 12, 17, 22, ? (a) 26 (b) 28 (c) 27 (d) 32
  34. 34.What comes next? 4, 8, 7, 11, 10, 14, ? (a) 15 (b) 12 (c) 18 (d) 13
  35. 35.What comes next? 16, 17, 19, 22, 26, ? (a) 30 (b) 32 (c) 31 (d) 33
  36. 36.What comes next? 4, 5, 7, 10, 14, ? (a) 21 (b) 18 (c) 20 (d) 19
  37. 37.What comes next? 29, 34, 39, 44, 49, ? (a) 59 (b) 53 (c) 54 (d) 55
  38. 38.What comes next? 6, 10, 7, 11, 8, 12, ? (a) 8 (b) 16 (c) 9 (d) 15
  39. 39.What comes next? 18, 19, 21, 24, 28, ? (a) 32 (b) 34 (c) 35 (d) 33
  40. 40.What comes next? 6, 13, 8, 15, 10, 17, ? (a) 11 (b) 22 (c) 12 (d) 24

Answer key

  1. 25
  2. 4
  3. 192
  4. 162
  5. 3
  6. 7
  7. 8
  8. 37
  9. 8
  10. 15
  11. 41
  12. 28
  13. 16
  14. 81
  15. 13
  16. 13
  17. 11
  18. 51
  19. 68
  20. 23
  21. 28
  22. 39
  23. 26
  24. 29
  25. 37
  26. 15
  27. 14
  28. 36
  29. 24
  30. 17
  31. 23
  32. 26
  33. 27
  34. 13
  35. 31
  36. 19
  37. 54
  38. 9
  39. 33
  40. 12

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