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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 737 · 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? 17, 20, 18, 21, 19, 22, ? (a) 25 (b) 19 (c) 24 (d) 20
  2. 2.What comes next? 11, 12, 14, 17, 21, ? (a) 28 (b) 26 (c) 27 (d) 25
  3. 3.What comes next? 20, 18, 16, 14, 12, ? (a) 11 (b) 8 (c) 10 (d) 9
  4. 4.What comes next? 17, 26, 20, 29, 23, 32, ? (a) 38 (b) 26 (c) 41 (d) 25
  5. 5.What comes next? 19, 22, 26, 31, 37, ? (a) 43 (b) 46 (c) 44 (d) 45
  6. 6.What comes next? 26, 23, 20, 17, 14, ? (a) 12 (b) 10 (c) 8 (d) 11
  7. 7.What comes next? 4, 7, 11, 16, 22, ? (a) 30 (b) 31 (c) 29 (d) 28
  8. 8.What comes next? 43, 37, 31, 25, 19, ? (a) 12 (b) 14 (c) 13 (d) 7
  9. 9.What comes next? 7, 14, 10, 17, 13, 20, ? (a) 16 (b) 27 (c) 24 (d) 15
  10. 10.What comes next? 26, 22, 18, 14, 10, ? (a) 5 (b) 7 (c) 6 (d) 2
  11. 11.What comes next? 15, 25, 35, 45, 55, ? (a) 75 (b) 66 (c) 65 (d) 64
  12. 12.What comes next? 58, 52, 46, 40, 34, ? (a) 29 (b) 27 (c) 28 (d) 22
  13. 13.What comes next? 30, 32, 34, 36, 38, ? (a) 39 (b) 41 (c) 40 (d) 42
  14. 14.What comes next? 6, 10, 15, 21, 28, ? (a) 35 (b) 37 (c) 36 (d) 38
  15. 15.What comes next? 28, 32, 36, 40, 44, ? (a) 52 (b) 49 (c) 48 (d) 47
  16. 16.What comes next? 13, 11, 9, 7, 5, ? (a) 1 (b) 4 (c) 2 (d) 3
  17. 17.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 45 (c) 90 (d) 72
  18. 18.What comes next? 20, 24, 29, 35, 42, ? (a) 50 (b) 49 (c) 51 (d) 52
  19. 19.What comes next? 15, 23, 19, 27, 23, 31, ? (a) 39 (b) 35 (c) 26 (d) 27
  20. 20.What comes next? 23, 19, 15, 11, 7, ? (a) 2 (b) 5 (c) 4 (d) 3
  21. 21.What comes next? 13, 16, 20, 25, 31, ? (a) 37 (b) 39 (c) 38 (d) 40
  22. 22.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 64 (c) 65 (d) 80
  23. 23.What comes next? 15, 23, 16, 24, 17, 25, ? (a) 17 (b) 32 (c) 33 (d) 18
  24. 24.What comes next? 4, 6, 9, 13, 18, ? (a) 24 (b) 26 (c) 25 (d) 23
  25. 25.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 40 (c) 24 (d) 32
  26. 26.What comes next? 52, 46, 40, 34, 28, ? (a) 22 (b) 16 (c) 21 (d) 23
  27. 27.What comes next? 30, 38, 46, 54, 62, ? (a) 69 (b) 78 (c) 70 (d) 71
  28. 28.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 144 (c) 192 (d) 240
  29. 29.What comes next? 43, 38, 33, 28, 23, ? (a) 18 (b) 13 (c) 19 (d) 17
  30. 30.What comes next? 11, 18, 25, 32, 39, ? (a) 47 (b) 53 (c) 45 (d) 46
  31. 31.What comes next? 9, 17, 25, 33, 41, ? (a) 48 (b) 57 (c) 49 (d) 50
  32. 32.What comes next? 13, 15, 17, 19, 21, ? (a) 23 (b) 24 (c) 25 (d) 22
  33. 33.What comes next? 19, 20, 22, 25, 29, ? (a) 35 (b) 36 (c) 34 (d) 33
  34. 34.What comes next? 25, 36, 47, 58, 69, ? (a) 81 (b) 79 (c) 91 (d) 80
  35. 35.What comes next? 38, 33, 28, 23, 18, ? (a) 13 (b) 8 (c) 14 (d) 12
  36. 36.What comes next? 5, 7, 10, 14, 19, ? (a) 26 (b) 25 (c) 24 (d) 27
  37. 37.What comes next? 15, 18, 22, 27, 33, ? (a) 39 (b) 41 (c) 42 (d) 40
  38. 38.What comes next? 10, 16, 14, 20, 18, 24, ? (a) 26 (b) 21 (c) 30 (d) 22
  39. 39.What comes next? 35, 30, 25, 20, 15, ? (a) 5 (b) 11 (c) 9 (d) 10
  40. 40.What comes next? 7, 11, 15, 19, 23, ? (a) 28 (b) 26 (c) 31 (d) 27

Answer key

  1. 20
  2. 26
  3. 10
  4. 26
  5. 44
  6. 11
  7. 29
  8. 13
  9. 16
  10. 6
  11. 65
  12. 28
  13. 40
  14. 36
  15. 48
  16. 3
  17. 81
  18. 50
  19. 27
  20. 3
  21. 38
  22. 64
  23. 18
  24. 24
  25. 32
  26. 22
  27. 70
  28. 192
  29. 18
  30. 46
  31. 49
  32. 23
  33. 34
  34. 80
  35. 13
  36. 25
  37. 40
  38. 22
  39. 10
  40. 27

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