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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 771 · 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? 34, 32, 30, 28, 26, ? (a) 22 (b) 23 (c) 24 (d) 25
  2. 2.What comes next? 26, 22, 18, 14, 10, ? (a) 2 (b) 7 (c) 5 (d) 6
  3. 3.What comes next? 1, 2, 4, 7, 11, ? (a) 15 (b) 18 (c) 16 (d) 17
  4. 4.What comes next? 47, 41, 35, 29, 23, ? (a) 16 (b) 17 (c) 11 (d) 18
  5. 5.What comes next? 8, 10, 12, 14, 16, ? (a) 20 (b) 19 (c) 17 (d) 18
  6. 6.What comes next? 28, 31, 34, 37, 40, ? (a) 43 (b) 42 (c) 46 (d) 44
  7. 7.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 90 (c) 45 (d) 72
  8. 8.What comes next? 27, 22, 17, 12, 7, ? (a) 1 (b) 4 (c) 2 (d) 3
  9. 9.What comes next? 16, 26, 36, 46, 56, ? (a) 66 (b) 76 (c) 67 (d) 65
  10. 10.What comes next? 6, 10, 7, 11, 8, 12, ? (a) 15 (b) 16 (c) 8 (d) 9
  11. 11.What comes next? 16, 17, 19, 22, 26, ? (a) 33 (b) 30 (c) 32 (d) 31
  12. 12.What comes next? 39, 35, 31, 27, 23, ? (a) 20 (b) 18 (c) 15 (d) 19
  13. 13.What comes next? 55, 46, 37, 28, 19, ? (a) 11 (b) 1 (c) 10 (d) 9
  14. 14.What comes next? 4, 6, 9, 13, 18, ? (a) 24 (b) 26 (c) 23 (d) 25
  15. 15.What comes next? 9, 17, 25, 33, 41, ? (a) 50 (b) 57 (c) 48 (d) 49
  16. 16.What comes next? 13, 20, 27, 34, 41, ? (a) 47 (b) 55 (c) 48 (d) 49
  17. 17.What comes next? 19, 21, 23, 25, 27, ? (a) 30 (b) 29 (c) 31 (d) 28
  18. 18.What comes next? 6, 10, 15, 21, 28, ? (a) 35 (b) 37 (c) 36 (d) 38
  19. 19.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 243 (c) 135 (d) 216
  20. 20.What comes next? 20, 23, 27, 32, 38, ? (a) 45 (b) 46 (c) 44 (d) 47
  21. 21.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 33 (c) 32 (d) 40
  22. 22.What comes next? 22, 19, 16, 13, 10, ? (a) 8 (b) 4 (c) 6 (d) 7
  23. 23.What comes next? 10, 18, 17, 25, 24, 32, ? (a) 31 (b) 33 (c) 30 (d) 40
  24. 24.What comes next? 8, 11, 9, 12, 10, 13, ? (a) 15 (b) 16 (c) 10 (d) 11
  25. 25.What comes next? 10, 13, 11, 14, 12, 15, ? (a) 13 (b) 17 (c) 18 (d) 12
  26. 26.What comes next? 5, 8, 12, 17, 23, ? (a) 31 (b) 29 (c) 30 (d) 32
  27. 27.What comes next? 4, 16, 28, 40, 52, ? (a) 76 (b) 64 (c) 65 (d) 63
  28. 28.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 193 (c) 192 (d) 144
  29. 29.What comes next? 47, 39, 31, 23, 15, ? (a) 9 (b) 6 (c) 7 (d) 8
  30. 30.What comes next? 15, 16, 18, 21, 25, ? (a) 32 (b) 30 (c) 29 (d) 31
  31. 31.What comes next? 9, 21, 33, 45, 57, ? (a) 69 (b) 70 (c) 68 (d) 81
  32. 32.What comes next? 48, 40, 32, 24, 16, ? (a) 8 (b) 9 (c) 10 (d) 7
  33. 33.What comes next? 21, 30, 39, 48, 57, ? (a) 65 (b) 66 (c) 67 (d) 75
  34. 34.What comes next? 2, 10, 18, 26, 34, ? (a) 50 (b) 41 (c) 42 (d) 43
  35. 35.What comes next? 29, 39, 49, 59, 69, ? (a) 79 (b) 78 (c) 89 (d) 80
  36. 36.What comes next? 4, 15, 26, 37, 48, ? (a) 58 (b) 59 (c) 70 (d) 60
  37. 37.What comes next? 6, 9, 13, 18, 24, ? (a) 33 (b) 32 (c) 30 (d) 31
  38. 38.What comes next? 6, 8, 10, 12, 14, ? (a) 18 (b) 15 (c) 17 (d) 16
  39. 39.What comes next? 26, 32, 38, 44, 50, ? (a) 62 (b) 55 (c) 57 (d) 56
  40. 40.What comes next? 27, 30, 33, 36, 39, ? (a) 43 (b) 42 (c) 45 (d) 41

Answer key

  1. 24
  2. 6
  3. 16
  4. 17
  5. 18
  6. 43
  7. 81
  8. 2
  9. 66
  10. 9
  11. 31
  12. 19
  13. 10
  14. 24
  15. 49
  16. 48
  17. 29
  18. 36
  19. 243
  20. 45
  21. 32
  22. 7
  23. 31
  24. 11
  25. 13
  26. 30
  27. 64
  28. 192
  29. 7
  30. 30
  31. 69
  32. 8
  33. 66
  34. 42
  35. 79
  36. 59
  37. 31
  38. 16
  39. 56
  40. 42

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