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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 953 · 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? 24, 28, 32, 36, 40, ? (a) 43 (b) 44 (c) 45 (d) 48
  2. 2.What comes next? 27, 31, 35, 39, 43, ? (a) 48 (b) 47 (c) 51 (d) 46
  3. 3.What comes next? 6, 9, 8, 11, 10, 13, ? (a) 12 (b) 14 (c) 11 (d) 16
  4. 4.What comes next? 11, 13, 16, 20, 25, ? (a) 33 (b) 31 (c) 30 (d) 32
  5. 5.What comes next? 39, 34, 29, 24, 19, ? (a) 13 (b) 15 (c) 9 (d) 14
  6. 6.What comes next? 42, 38, 34, 30, 26, ? (a) 21 (b) 18 (c) 23 (d) 22
  7. 7.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 180 (c) 144 (d) 90
  8. 8.What comes next? 18, 16, 14, 12, 10, ? (a) 6 (b) 8 (c) 7 (d) 9
  9. 9.What comes next? 8, 11, 15, 20, 26, ? (a) 35 (b) 32 (c) 34 (d) 33
  10. 10.What comes next? 22, 24, 26, 28, 30, ? (a) 31 (b) 32 (c) 34 (d) 33
  11. 11.What comes next? 66, 57, 48, 39, 30, ? (a) 20 (b) 21 (c) 12 (d) 22
  12. 12.What comes next? 35, 31, 27, 23, 19, ? (a) 15 (b) 14 (c) 16 (d) 11
  13. 13.What comes next? 15, 24, 16, 25, 17, 26, ? (a) 34 (b) 17 (c) 18 (d) 35
  14. 14.What comes next? 39, 35, 31, 27, 23, ? (a) 20 (b) 18 (c) 15 (d) 19
  15. 15.What comes next? 1, 4, 2, 5, 3, 6, ? (a) 9 (b) 3 (c) 4 (d) 8
  16. 16.What comes next? 19, 31, 43, 55, 67, ? (a) 80 (b) 79 (c) 78 (d) 91
  17. 17.What comes next? 50, 41, 32, 23, 14, ? (a) 4 (b) 6 (c) 5 (d) 7
  18. 18.What comes next? 46, 42, 38, 34, 30, ? (a) 25 (b) 26 (c) 27 (d) 22
  19. 19.What comes next? 4, 6, 9, 13, 18, ? (a) 25 (b) 24 (c) 23 (d) 26
  20. 20.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 120 (c) 72 (d) 96
  21. 21.What comes next? 10, 13, 17, 22, 28, ? (a) 37 (b) 34 (c) 36 (d) 35
  22. 22.What comes next? 37, 30, 23, 16, 9, ? (a) 1 (b) 4 (c) 3 (d) 2
  23. 23.What comes next? 60, 51, 42, 33, 24, ? (a) 16 (b) 6 (c) 14 (d) 15
  24. 24.What comes next? 4, 11, 8, 15, 12, 19, ? (a) 16 (b) 22 (c) 15 (d) 26
  25. 25.What comes next? 15, 18, 17, 20, 19, 22, ? (a) 25 (b) 21 (c) 20 (d) 23
  26. 26.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 45 (c) 72 (d) 81
  27. 27.What comes next? 14, 17, 21, 26, 32, ? (a) 39 (b) 41 (c) 38 (d) 40
  28. 28.What comes next? 23, 31, 39, 47, 55, ? (a) 64 (b) 62 (c) 63 (d) 71
  29. 29.What comes next? 19, 23, 28, 34, 41, ? (a) 48 (b) 50 (c) 51 (d) 49
  30. 30.What comes next? 20, 24, 28, 32, 36, ? (a) 40 (b) 41 (c) 44 (d) 39
  31. 31.What comes next? 12, 16, 13, 17, 14, 18, ? (a) 22 (b) 14 (c) 21 (d) 15
  32. 32.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 65 (c) 64 (d) 80
  33. 33.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 160 (c) 96 (d) 128
  34. 34.What comes next? 20, 25, 30, 35, 40, ? (a) 46 (b) 44 (c) 45 (d) 50
  35. 35.What comes next? 5, 12, 19, 26, 33, ? (a) 40 (b) 47 (c) 39 (d) 41
  36. 36.What comes next? 1, 7, 2, 8, 3, 9, ? (a) 14 (b) 3 (c) 15 (d) 4
  37. 37.What comes next? 9, 10, 12, 15, 19, ? (a) 24 (b) 26 (c) 25 (d) 23
  38. 38.What comes next? 2, 4, 7, 11, 16, ? (a) 22 (b) 24 (c) 23 (d) 21
  39. 39.What comes next? 14, 17, 15, 18, 16, 19, ? (a) 16 (b) 17 (c) 22 (d) 21
  40. 40.What comes next? 4, 7, 11, 16, 22, ? (a) 29 (b) 28 (c) 31 (d) 30

Answer key

  1. 44
  2. 47
  3. 12
  4. 31
  5. 14
  6. 22
  7. 162
  8. 8
  9. 33
  10. 32
  11. 21
  12. 15
  13. 18
  14. 19
  15. 4
  16. 79
  17. 5
  18. 26
  19. 24
  20. 96
  21. 35
  22. 2
  23. 15
  24. 16
  25. 21
  26. 81
  27. 39
  28. 63
  29. 49
  30. 40
  31. 15
  32. 64
  33. 128
  34. 45
  35. 40
  36. 4
  37. 24
  38. 22
  39. 17
  40. 29

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