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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 950 · 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? 18, 19, 21, 24, 28, ? (a) 34 (b) 33 (c) 35 (d) 32
  2. 2.What comes next? 11, 9, 7, 5, 3, ? (a) 3 (b) 2 (c) 1 (d) 4
  3. 3.What comes next? 18, 22, 27, 33, 40, ? (a) 49 (b) 48 (c) 50 (d) 47
  4. 4.What comes next? 17, 21, 26, 32, 39, ? (a) 47 (b) 48 (c) 49 (d) 46
  5. 5.What comes next? 12, 14, 17, 21, 26, ? (a) 34 (b) 31 (c) 32 (d) 33
  6. 6.What comes next? 19, 26, 21, 28, 23, 30, ? (a) 24 (b) 35 (c) 37 (d) 25
  7. 7.What comes next? 2, 4, 7, 11, 16, ? (a) 22 (b) 21 (c) 23 (d) 24
  8. 8.What comes next? 4, 6, 8, 10, 12, ? (a) 13 (b) 15 (c) 14 (d) 16
  9. 9.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 40 (c) 33 (d) 32
  10. 10.What comes next? 7, 12, 17, 22, 27, ? (a) 32 (b) 33 (c) 31 (d) 37
  11. 11.What comes next? 9, 12, 16, 21, 27, ? (a) 33 (b) 36 (c) 34 (d) 35
  12. 12.What comes next? 23, 27, 31, 35, 39, ? (a) 42 (b) 44 (c) 43 (d) 47
  13. 13.What comes next? 60, 52, 44, 36, 28, ? (a) 19 (b) 20 (c) 21 (d) 12
  14. 14.What comes next? 24, 20, 16, 12, 8, ? (a) 6 (b) 3 (c) 4 (d) 5
  15. 15.What comes next? 10, 18, 26, 34, 42, ? (a) 50 (b) 49 (c) 58 (d) 51
  16. 16.What comes next? 57, 48, 39, 30, 21, ? (a) 3 (b) 13 (c) 12 (d) 11
  17. 17.What comes next? 14, 20, 26, 32, 38, ? (a) 44 (b) 45 (c) 50 (d) 43
  18. 18.What comes next? 20, 28, 26, 34, 32, 40, ? (a) 38 (b) 37 (c) 48 (d) 42
  19. 19.What comes next? 4, 7, 10, 13, 16, ? (a) 18 (b) 20 (c) 22 (d) 19
  20. 20.What comes next? 21, 29, 37, 45, 53, ? (a) 69 (b) 62 (c) 61 (d) 60
  21. 21.What comes next? 6, 8, 11, 15, 20, ? (a) 28 (b) 26 (c) 27 (d) 25
  22. 22.What comes next? 20, 26, 22, 28, 24, 30, ? (a) 25 (b) 26 (c) 34 (d) 36
  23. 23.What comes next? 9, 12, 11, 14, 13, 16, ? (a) 19 (b) 17 (c) 14 (d) 15
  24. 24.What comes next? 6, 8, 10, 12, 14, ? (a) 18 (b) 15 (c) 17 (d) 16
  25. 25.What comes next? 39, 32, 25, 18, 11, ? (a) 5 (b) 6 (c) 3 (d) 4
  26. 26.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 80 (c) 64 (d) 65
  27. 27.What comes next? 3, 12, 7, 16, 11, 20, ? (a) 25 (b) 15 (c) 29 (d) 14
  28. 28.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 160 (c) 96 (d) 128
  29. 29.What comes next? 12, 13, 15, 18, 22, ? (a) 28 (b) 27 (c) 26 (d) 29
  30. 30.What comes next? 9, 17, 11, 19, 13, 21, ? (a) 29 (b) 15 (c) 27 (d) 14
  31. 31.What comes next? 20, 22, 25, 29, 34, ? (a) 39 (b) 42 (c) 41 (d) 40
  32. 32.What comes next? 58, 50, 42, 34, 26, ? (a) 19 (b) 18 (c) 10 (d) 17
  33. 33.What comes next? 1, 4, 2, 5, 3, 6, ? (a) 3 (b) 4 (c) 8 (d) 9
  34. 34.What comes next? 45, 38, 31, 24, 17, ? (a) 3 (b) 9 (c) 11 (d) 10
  35. 35.What comes next? 8, 11, 15, 20, 26, ? (a) 35 (b) 34 (c) 32 (d) 33
  36. 36.What comes next? 4, 13, 22, 31, 40, ? (a) 49 (b) 58 (c) 48 (d) 50
  37. 37.What comes next? 1, 2, 4, 7, 11, ? (a) 15 (b) 17 (c) 16 (d) 18
  38. 38.What comes next? 18, 26, 25, 33, 32, 40, ? (a) 41 (b) 48 (c) 38 (d) 39
  39. 39.What comes next? 11, 19, 17, 25, 23, 31, ? (a) 39 (b) 28 (c) 29 (d) 33
  40. 40.What comes next? 20, 21, 23, 26, 30, ? (a) 35 (b) 37 (c) 36 (d) 34

Answer key

  1. 33
  2. 1
  3. 48
  4. 47
  5. 32
  6. 25
  7. 22
  8. 14
  9. 32
  10. 32
  11. 34
  12. 43
  13. 20
  14. 4
  15. 50
  16. 12
  17. 44
  18. 38
  19. 19
  20. 61
  21. 26
  22. 26
  23. 15
  24. 16
  25. 4
  26. 64
  27. 15
  28. 128
  29. 27
  30. 15
  31. 40
  32. 18
  33. 4
  34. 10
  35. 33
  36. 49
  37. 16
  38. 39
  39. 29
  40. 35

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