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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 790 · 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? 14, 18, 17, 21, 20, 24, ? (a) 22 (b) 25 (c) 23 (d) 28
  2. 2.What comes next? 12, 16, 21, 27, 34, ? (a) 41 (b) 44 (c) 43 (d) 42
  3. 3.What comes next? 39, 35, 31, 27, 23, ? (a) 20 (b) 18 (c) 19 (d) 15
  4. 4.What comes next? 14, 15, 17, 20, 24, ? (a) 29 (b) 31 (c) 28 (d) 30
  5. 5.What comes next? 18, 19, 21, 24, 28, ? (a) 34 (b) 33 (c) 32 (d) 35
  6. 6.What comes next? 15, 16, 18, 21, 25, ? (a) 30 (b) 31 (c) 29 (d) 32
  7. 7.What comes next? 4, 13, 22, 31, 40, ? (a) 58 (b) 50 (c) 48 (d) 49
  8. 8.What comes next? 20, 29, 22, 31, 24, 33, ? (a) 40 (b) 42 (c) 25 (d) 26
  9. 9.What comes next? 42, 39, 36, 33, 30, ? (a) 27 (b) 24 (c) 26 (d) 28
  10. 10.What comes next? 6, 14, 10, 18, 14, 22, ? (a) 30 (b) 17 (c) 26 (d) 18
  11. 11.What comes next? 29, 24, 19, 14, 9, ? (a) 5 (b) 3 (c) 6 (d) 4
  12. 12.What comes next? 50, 46, 42, 38, 34, ? (a) 29 (b) 26 (c) 31 (d) 30
  13. 13.What comes next? 17, 15, 13, 11, 9, ? (a) 6 (b) 7 (c) 5 (d) 8
  14. 14.What comes next? 28, 34, 40, 46, 52, ? (a) 64 (b) 58 (c) 57 (d) 59
  15. 15.What comes next? 16, 26, 36, 46, 56, ? (a) 76 (b) 65 (c) 67 (d) 66
  16. 16.What comes next? 29, 31, 33, 35, 37, ? (a) 40 (b) 41 (c) 38 (d) 39
  17. 17.What comes next? 6, 9, 13, 18, 24, ? (a) 32 (b) 31 (c) 30 (d) 33
  18. 18.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 80 (c) 48 (d) 64
  19. 19.What comes next? 21, 31, 41, 51, 61, ? (a) 71 (b) 81 (c) 70 (d) 72
  20. 20.What comes next? 19, 21, 24, 28, 33, ? (a) 38 (b) 39 (c) 41 (d) 40
  21. 21.What comes next? 6, 12, 18, 24, 30, ? (a) 35 (b) 36 (c) 42 (d) 37
  22. 22.What comes next? 31, 27, 23, 19, 15, ? (a) 10 (b) 11 (c) 12 (d) 7
  23. 23.What comes next? 16, 21, 19, 24, 22, 27, ? (a) 24 (b) 29 (c) 32 (d) 25
  24. 24.What comes next? 10, 17, 14, 21, 18, 25, ? (a) 21 (b) 32 (c) 22 (d) 28
  25. 25.What comes next? 3, 8, 4, 9, 5, 10, ? (a) 15 (b) 5 (c) 14 (d) 6
  26. 26.What comes next? 11, 15, 20, 26, 33, ? (a) 43 (b) 42 (c) 40 (d) 41
  27. 27.What comes next? 20, 24, 22, 26, 24, 28, ? (a) 30 (b) 32 (c) 26 (d) 25
  28. 28.What comes next? 60, 54, 48, 42, 36, ? (a) 30 (b) 29 (c) 31 (d) 24
  29. 29.What comes next? 6, 14, 22, 30, 38, ? (a) 47 (b) 54 (c) 45 (d) 46
  30. 30.What comes next? 2, 7, 12, 17, 22, ? (a) 27 (b) 32 (c) 26 (d) 28
  31. 31.What comes next? 73, 64, 55, 46, 37, ? (a) 27 (b) 19 (c) 28 (d) 29
  32. 32.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 162 (c) 144 (d) 90
  33. 33.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 72 (c) 90 (d) 45
  34. 34.What comes next? 35, 31, 27, 23, 19, ? (a) 11 (b) 16 (c) 14 (d) 15
  35. 35.What comes next? 17, 21, 26, 32, 39, ? (a) 49 (b) 48 (c) 46 (d) 47
  36. 36.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 270 (c) 216 (d) 243
  37. 37.What comes next? 46, 38, 30, 22, 14, ? (a) 7 (b) 8 (c) 5 (d) 6
  38. 38.What comes next? 54, 47, 40, 33, 26, ? (a) 19 (b) 12 (c) 20 (d) 18
  39. 39.What comes next? 15, 21, 20, 26, 25, 31, ? (a) 37 (b) 32 (c) 29 (d) 30
  40. 40.What comes next? 8, 18, 28, 38, 48, ? (a) 57 (b) 58 (c) 68 (d) 59

Answer key

  1. 23
  2. 42
  3. 19
  4. 29
  5. 33
  6. 30
  7. 49
  8. 26
  9. 27
  10. 18
  11. 4
  12. 30
  13. 7
  14. 58
  15. 66
  16. 39
  17. 31
  18. 64
  19. 71
  20. 39
  21. 36
  22. 11
  23. 25
  24. 22
  25. 6
  26. 41
  27. 26
  28. 30
  29. 46
  30. 27
  31. 28
  32. 162
  33. 81
  34. 15
  35. 47
  36. 243
  37. 6
  38. 19
  39. 30
  40. 58

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