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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 932 · 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? 58, 52, 46, 40, 34, ? (a) 29 (b) 28 (c) 22 (d) 27
  2. 2.What comes next? 13, 22, 17, 26, 21, 30, ? (a) 35 (b) 25 (c) 39 (d) 24
  3. 3.What comes next? 21, 17, 13, 9, 5, ? (a) 3 (b) 2 (c) 4 (d) 1
  4. 4.What comes next? 10, 13, 16, 19, 22, ? (a) 24 (b) 26 (c) 25 (d) 28
  5. 5.What comes next? 38, 35, 32, 29, 26, ? (a) 24 (b) 23 (c) 20 (d) 22
  6. 6.What comes next? 15, 18, 17, 20, 19, 22, ? (a) 21 (b) 23 (c) 25 (d) 20
  7. 7.What comes next? 24, 36, 48, 60, 72, ? (a) 85 (b) 83 (c) 84 (d) 96
  8. 8.What comes next? 3, 7, 5, 9, 7, 11, ? (a) 13 (b) 9 (c) 8 (d) 15
  9. 9.What comes next? 6, 10, 15, 21, 28, ? (a) 37 (b) 36 (c) 38 (d) 35
  10. 10.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 243 (c) 135 (d) 216
  11. 11.What comes next? 6, 12, 24, 48, 96, ? (a) 192 (b) 144 (c) 193 (d) 240
  12. 12.What comes next? 3, 6, 4, 7, 5, 8, ? (a) 11 (b) 10 (c) 6 (d) 5
  13. 13.What comes next? 24, 33, 42, 51, 60, ? (a) 78 (b) 70 (c) 68 (d) 69
  14. 14.What comes next? 12, 20, 14, 22, 16, 24, ? (a) 18 (b) 30 (c) 32 (d) 17
  15. 15.What comes next? 12, 18, 16, 22, 20, 26, ? (a) 28 (b) 32 (c) 23 (d) 24
  16. 16.What comes next? 28, 31, 34, 37, 40, ? (a) 46 (b) 43 (c) 42 (d) 44
  17. 17.What comes next? 7, 14, 21, 28, 35, ? (a) 42 (b) 49 (c) 43 (d) 41
  18. 18.What comes next? 11, 15, 12, 16, 13, 17, ? (a) 13 (b) 21 (c) 20 (d) 14
  19. 19.What comes next? 27, 38, 49, 60, 71, ? (a) 83 (b) 81 (c) 93 (d) 82
  20. 20.What comes next? 32, 29, 26, 23, 20, ? (a) 18 (b) 16 (c) 17 (d) 14
  21. 21.What comes next? 19, 23, 28, 34, 41, ? (a) 48 (b) 51 (c) 50 (d) 49
  22. 22.What comes next? 65, 58, 51, 44, 37, ? (a) 23 (b) 30 (c) 29 (d) 31
  23. 23.What comes next? 35, 30, 25, 20, 15, ? (a) 5 (b) 9 (c) 10 (d) 11
  24. 24.What comes next? 6, 11, 16, 21, 26, ? (a) 30 (b) 31 (c) 32 (d) 36
  25. 25.What comes next? 20, 23, 26, 29, 32, ? (a) 38 (b) 34 (c) 35 (d) 36
  26. 26.What comes next? 1, 9, 3, 11, 5, 13, ? (a) 7 (b) 19 (c) 21 (d) 6
  27. 27.What comes next? 19, 28, 24, 33, 29, 38, ? (a) 42 (b) 47 (c) 33 (d) 34
  28. 28.What comes next? 15, 18, 16, 19, 17, 20, ? (a) 23 (b) 17 (c) 18 (d) 22
  29. 29.What comes next? 7, 16, 10, 19, 13, 22, ? (a) 28 (b) 15 (c) 16 (d) 31
  30. 30.What comes next? 15, 22, 16, 23, 17, 24, ? (a) 18 (b) 30 (c) 17 (d) 31
  31. 31.What comes next? 16, 22, 21, 27, 26, 32, ? (a) 33 (b) 30 (c) 38 (d) 31
  32. 32.What comes next? 5, 8, 12, 17, 23, ? (a) 32 (b) 30 (c) 29 (d) 31
  33. 33.What comes next? 4, 16, 28, 40, 52, ? (a) 63 (b) 64 (c) 76 (d) 65
  34. 34.What comes next? 3, 6, 9, 12, 15, ? (a) 19 (b) 21 (c) 17 (d) 18
  35. 35.What comes next? 4, 8, 13, 19, 26, ? (a) 34 (b) 35 (c) 36 (d) 33
  36. 36.What comes next? 2, 13, 24, 35, 46, ? (a) 68 (b) 57 (c) 58 (d) 56
  37. 37.What comes next? 57, 50, 43, 36, 29, ? (a) 21 (b) 23 (c) 15 (d) 22
  38. 38.What comes next? 14, 15, 17, 20, 24, ? (a) 30 (b) 28 (c) 31 (d) 29
  39. 39.What comes next? 5, 16, 27, 38, 49, ? (a) 71 (b) 61 (c) 60 (d) 59
  40. 40.What comes next? 12, 14, 17, 21, 26, ? (a) 31 (b) 34 (c) 32 (d) 33

Answer key

  1. 28
  2. 25
  3. 1
  4. 25
  5. 23
  6. 21
  7. 84
  8. 9
  9. 36
  10. 243
  11. 192
  12. 6
  13. 69
  14. 18
  15. 24
  16. 43
  17. 42
  18. 14
  19. 82
  20. 17
  21. 49
  22. 30
  23. 10
  24. 31
  25. 35
  26. 7
  27. 34
  28. 18
  29. 16
  30. 18
  31. 31
  32. 30
  33. 64
  34. 18
  35. 34
  36. 57
  37. 22
  38. 29
  39. 60
  40. 32

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