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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 801 · 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? 16, 18, 20, 22, 24, ? (a) 28 (b) 26 (c) 27 (d) 25
  2. 2.What comes next? 9, 17, 15, 23, 21, 29, ? (a) 31 (b) 26 (c) 27 (d) 37
  3. 3.What comes next? 6, 10, 7, 11, 8, 12, ? (a) 16 (b) 15 (c) 8 (d) 9
  4. 4.What comes next? 10, 12, 14, 16, 18, ? (a) 22 (b) 20 (c) 19 (d) 21
  5. 5.What comes next? 8, 11, 10, 13, 12, 15, ? (a) 16 (b) 13 (c) 14 (d) 18
  6. 6.What comes next? 7, 11, 15, 19, 23, ? (a) 26 (b) 27 (c) 28 (d) 31
  7. 7.What comes next? 10, 13, 17, 22, 28, ? (a) 35 (b) 37 (c) 36 (d) 34
  8. 8.What comes next? 23, 31, 39, 47, 55, ? (a) 71 (b) 62 (c) 63 (d) 64
  9. 9.What comes next? 9, 17, 14, 22, 19, 27, ? (a) 24 (b) 30 (c) 23 (d) 35
  10. 10.What comes next? 17, 20, 24, 29, 35, ? (a) 42 (b) 44 (c) 43 (d) 41
  11. 11.What comes next? 13, 17, 22, 28, 35, ? (a) 42 (b) 43 (c) 45 (d) 44
  12. 12.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 72 (c) 97 (d) 120
  13. 13.What comes next? 42, 38, 34, 30, 26, ? (a) 18 (b) 22 (c) 23 (d) 21
  14. 14.What comes next? 10, 16, 11, 17, 12, 18, ? (a) 12 (b) 13 (c) 23 (d) 24
  15. 15.What comes next? 17, 20, 19, 22, 21, 24, ? (a) 22 (b) 25 (c) 23 (d) 27
  16. 16.What comes next? 46, 37, 28, 19, 10, ? (a) 4 (b) 2 (c) 3 (d) 1
  17. 17.What comes next? 15, 22, 29, 36, 43, ? (a) 51 (b) 49 (c) 57 (d) 50
  18. 18.What comes next? 49, 42, 35, 28, 21, ? (a) 15 (b) 7 (c) 13 (d) 14
  19. 19.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 24 (c) 32 (d) 40
  20. 20.What comes next? 3, 5, 8, 12, 17, ? (a) 25 (b) 22 (c) 24 (d) 23
  21. 21.What comes next? 3, 6, 10, 15, 21, ? (a) 29 (b) 27 (c) 28 (d) 30
  22. 22.What comes next? 24, 28, 32, 36, 40, ? (a) 43 (b) 44 (c) 45 (d) 48
  23. 23.What comes next? 11, 12, 14, 17, 21, ? (a) 25 (b) 27 (c) 28 (d) 26
  24. 24.What comes next? 30, 34, 38, 42, 46, ? (a) 51 (b) 49 (c) 54 (d) 50
  25. 25.What comes next? 16, 20, 18, 22, 20, 24, ? (a) 28 (b) 21 (c) 22 (d) 26
  26. 26.What comes next? 1, 5, 3, 7, 5, 9, ? (a) 11 (b) 13 (c) 6 (d) 7
  27. 27.What comes next? 11, 17, 12, 18, 13, 19, ? (a) 24 (b) 25 (c) 13 (d) 14
  28. 28.What comes next? 13, 14, 16, 19, 23, ? (a) 28 (b) 27 (c) 30 (d) 29
  29. 29.What comes next? 47, 38, 29, 20, 11, ? (a) 2 (b) 4 (c) 1 (d) 3
  30. 30.What comes next? 3, 7, 6, 10, 9, 13, ? (a) 17 (b) 12 (c) 14 (d) 11
  31. 31.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 81 (c) 72 (d) 90
  32. 32.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 64 (c) 80 (d) 48
  33. 33.What comes next? 6, 16, 26, 36, 46, ? (a) 55 (b) 66 (c) 57 (d) 56
  34. 34.What comes next? 4, 7, 5, 8, 6, 9, ? (a) 6 (b) 7 (c) 12 (d) 11
  35. 35.What comes next? 13, 15, 18, 22, 27, ? (a) 34 (b) 35 (c) 32 (d) 33
  36. 36.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 180 (c) 90 (d) 162
  37. 37.What comes next? 69, 60, 51, 42, 33, ? (a) 23 (b) 15 (c) 24 (d) 25
  38. 38.What comes next? 26, 21, 16, 11, 6, ? (a) 3 (b) 2 (c) 4 (d) 1
  39. 39.What comes next? 5, 8, 6, 9, 7, 10, ? (a) 8 (b) 13 (c) 7 (d) 12
  40. 40.What comes next? 35, 29, 23, 17, 11, ? (a) 5 (b) 4 (c) 7 (d) 6

Answer key

  1. 26
  2. 27
  3. 9
  4. 20
  5. 14
  6. 27
  7. 35
  8. 63
  9. 24
  10. 42
  11. 43
  12. 96
  13. 22
  14. 13
  15. 23
  16. 1
  17. 50
  18. 14
  19. 32
  20. 23
  21. 28
  22. 44
  23. 26
  24. 50
  25. 22
  26. 7
  27. 14
  28. 28
  29. 2
  30. 12
  31. 81
  32. 64
  33. 56
  34. 7
  35. 33
  36. 162
  37. 24
  38. 1
  39. 8
  40. 5

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