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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 788 · 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? 60, 54, 48, 42, 36, ? (a) 31 (b) 24 (c) 29 (d) 30
  2. 2.What comes next? 55, 50, 45, 40, 35, ? (a) 25 (b) 31 (c) 29 (d) 30
  3. 3.What comes next? 35, 32, 29, 26, 23, ? (a) 17 (b) 20 (c) 19 (d) 21
  4. 4.What comes next? 8, 17, 14, 23, 20, 29, ? (a) 25 (b) 26 (c) 32 (d) 38
  5. 5.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 24 (c) 32 (d) 33
  6. 6.What comes next? 1, 4, 3, 6, 5, 8, ? (a) 7 (b) 6 (c) 9 (d) 11
  7. 7.What comes next? 24, 21, 18, 15, 12, ? (a) 6 (b) 9 (c) 8 (d) 10
  8. 8.What comes next? 20, 29, 24, 33, 28, 37, ? (a) 31 (b) 32 (c) 42 (d) 46
  9. 9.What comes next? 11, 18, 16, 23, 21, 28, ? (a) 26 (b) 35 (c) 25 (d) 30
  10. 10.What comes next? 39, 35, 31, 27, 23, ? (a) 15 (b) 18 (c) 20 (d) 19
  11. 11.What comes next? 5, 9, 13, 17, 21, ? (a) 25 (b) 29 (c) 24 (d) 26
  12. 12.What comes next? 12, 16, 13, 17, 14, 18, ? (a) 22 (b) 14 (c) 15 (d) 21
  13. 13.What comes next? 34, 31, 28, 25, 22, ? (a) 18 (b) 20 (c) 19 (d) 16
  14. 14.What comes next? 5, 9, 14, 20, 27, ? (a) 36 (b) 37 (c) 34 (d) 35
  15. 15.What comes next? 16, 24, 20, 28, 24, 32, ? (a) 36 (b) 28 (c) 40 (d) 27
  16. 16.What comes next? 17, 27, 37, 47, 57, ? (a) 66 (b) 67 (c) 68 (d) 77
  17. 17.What comes next? 12, 13, 15, 18, 22, ? (a) 29 (b) 26 (c) 27 (d) 28
  18. 18.What comes next? 2, 11, 20, 29, 38, ? (a) 46 (b) 47 (c) 48 (d) 56
  19. 19.What comes next? 29, 24, 19, 14, 9, ? (a) 6 (b) 4 (c) 5 (d) 3
  20. 20.What comes next? 9, 20, 31, 42, 53, ? (a) 75 (b) 64 (c) 63 (d) 65
  21. 21.What comes next? 7, 12, 10, 15, 13, 18, ? (a) 15 (b) 16 (c) 23 (d) 20
  22. 22.What comes next? 1, 4, 8, 13, 19, ? (a) 28 (b) 27 (c) 25 (d) 26
  23. 23.What comes next? 15, 18, 17, 20, 19, 22, ? (a) 20 (b) 23 (c) 21 (d) 25
  24. 24.What comes next? 17, 20, 24, 29, 35, ? (a) 44 (b) 41 (c) 43 (d) 42
  25. 25.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 180 (c) 144 (d) 90
  26. 26.What comes next? 26, 23, 20, 17, 14, ? (a) 12 (b) 8 (c) 10 (d) 11
  27. 27.What comes next? 8, 16, 10, 18, 12, 20, ? (a) 28 (b) 14 (c) 13 (d) 26
  28. 28.What comes next? 16, 25, 24, 33, 32, 41, ? (a) 50 (b) 40 (c) 42 (d) 39
  29. 29.What comes next? 13, 19, 15, 21, 17, 23, ? (a) 18 (b) 19 (c) 27 (d) 29
  30. 30.What comes next? 27, 22, 17, 12, 7, ? (a) 1 (b) 3 (c) 2 (d) 4
  31. 31.What comes next? 6, 13, 20, 27, 34, ? (a) 48 (b) 41 (c) 40 (d) 42
  32. 32.What comes next? 19, 23, 22, 26, 25, 29, ? (a) 30 (b) 27 (c) 33 (d) 28
  33. 33.What comes next? 7, 12, 17, 22, 27, ? (a) 32 (b) 31 (c) 37 (d) 33
  34. 34.What comes next? 19, 20, 22, 25, 29, ? (a) 36 (b) 34 (c) 35 (d) 33
  35. 35.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 193 (c) 144 (d) 192
  36. 36.What comes next? 13, 17, 16, 20, 19, 23, ? (a) 24 (b) 27 (c) 21 (d) 22
  37. 37.What comes next? 43, 37, 31, 25, 19, ? (a) 7 (b) 14 (c) 12 (d) 13
  38. 38.What comes next? 16, 19, 22, 25, 28, ? (a) 34 (b) 31 (c) 30 (d) 32
  39. 39.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 96 (c) 72 (d) 97
  40. 40.What comes next? 9, 13, 10, 14, 11, 15, ? (a) 12 (b) 18 (c) 19 (d) 11

Answer key

  1. 30
  2. 30
  3. 20
  4. 26
  5. 32
  6. 7
  7. 9
  8. 32
  9. 26
  10. 19
  11. 25
  12. 15
  13. 19
  14. 35
  15. 28
  16. 67
  17. 27
  18. 47
  19. 4
  20. 64
  21. 16
  22. 26
  23. 21
  24. 42
  25. 162
  26. 11
  27. 14
  28. 40
  29. 19
  30. 2
  31. 41
  32. 28
  33. 32
  34. 34
  35. 192
  36. 22
  37. 13
  38. 31
  39. 96
  40. 12

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