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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 759 · 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? 32, 28, 24, 20, 16, ? (a) 12 (b) 11 (c) 8 (d) 13
  2. 2.What comes next? 2, 4, 7, 11, 16, ? (a) 21 (b) 23 (c) 24 (d) 22
  3. 3.What comes next? 15, 20, 19, 24, 23, 28, ? (a) 33 (b) 29 (c) 27 (d) 26
  4. 4.What comes next? 3, 7, 6, 10, 9, 13, ? (a) 11 (b) 12 (c) 17 (d) 14
  5. 5.What comes next? 50, 41, 32, 23, 14, ? (a) 4 (b) 7 (c) 6 (d) 5
  6. 6.What comes next? 9, 11, 13, 15, 17, ? (a) 18 (b) 20 (c) 21 (d) 19
  7. 7.What comes next? 4, 10, 6, 12, 8, 14, ? (a) 18 (b) 9 (c) 20 (d) 10
  8. 8.What comes next? 24, 35, 46, 57, 68, ? (a) 79 (b) 90 (c) 78 (d) 80
  9. 9.What comes next? 16, 17, 19, 22, 26, ? (a) 30 (b) 31 (c) 33 (d) 32
  10. 10.What comes next? 10, 14, 19, 25, 32, ? (a) 42 (b) 39 (c) 41 (d) 40
  11. 11.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 81 (d) 72
  12. 12.What comes next? 27, 25, 23, 21, 19, ? (a) 16 (b) 15 (c) 18 (d) 17
  13. 13.What comes next? 9, 12, 16, 21, 27, ? (a) 33 (b) 34 (c) 35 (d) 36
  14. 14.What comes next? 15, 16, 18, 21, 25, ? (a) 32 (b) 30 (c) 29 (d) 31
  15. 15.What comes next? 30, 26, 22, 18, 14, ? (a) 10 (b) 9 (c) 11 (d) 6
  16. 16.What comes next? 51, 42, 33, 24, 15, ? (a) 5 (b) 6 (c) 8 (d) 7
  17. 17.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 144 (c) 240 (d) 192
  18. 18.What comes next? 63, 56, 49, 42, 35, ? (a) 28 (b) 27 (c) 21 (d) 29
  19. 19.What comes next? 51, 44, 37, 30, 23, ? (a) 15 (b) 16 (c) 9 (d) 17
  20. 20.What comes next? 8, 13, 10, 15, 12, 17, ? (a) 22 (b) 20 (c) 14 (d) 13
  21. 21.What comes next? 24, 33, 42, 51, 60, ? (a) 78 (b) 69 (c) 70 (d) 68
  22. 22.What comes next? 3, 10, 7, 14, 11, 18, ? (a) 14 (b) 25 (c) 21 (d) 15
  23. 23.What comes next? 14, 21, 20, 27, 26, 33, ? (a) 32 (b) 34 (c) 40 (d) 31
  24. 24.What comes next? 1, 8, 3, 10, 5, 12, ? (a) 7 (b) 19 (c) 6 (d) 17
  25. 25.What comes next? 41, 33, 25, 17, 9, ? (a) 2 (b) 4 (c) 1 (d) 3
  26. 26.What comes next? 10, 12, 14, 16, 18, ? (a) 19 (b) 22 (c) 21 (d) 20
  27. 27.What comes next? 17, 23, 29, 35, 41, ? (a) 48 (b) 53 (c) 46 (d) 47
  28. 28.What comes next? 39, 37, 35, 33, 31, ? (a) 30 (b) 27 (c) 28 (d) 29
  29. 29.What comes next? 20, 23, 27, 32, 38, ? (a) 44 (b) 47 (c) 46 (d) 45
  30. 30.What comes next? 18, 20, 23, 27, 32, ? (a) 40 (b) 37 (c) 39 (d) 38
  31. 31.What comes next? 11, 14, 18, 23, 29, ? (a) 36 (b) 37 (c) 35 (d) 38
  32. 32.What comes next? 12, 16, 14, 18, 16, 20, ? (a) 24 (b) 17 (c) 18 (d) 22
  33. 33.What comes next? 17, 15, 13, 11, 9, ? (a) 8 (b) 6 (c) 5 (d) 7
  34. 34.What comes next? 25, 22, 19, 16, 13, ? (a) 7 (b) 9 (c) 10 (d) 11
  35. 35.What comes next? 2, 13, 24, 35, 46, ? (a) 57 (b) 58 (c) 56 (d) 68
  36. 36.What comes next? 16, 24, 21, 29, 26, 34, ? (a) 30 (b) 42 (c) 37 (d) 31
  37. 37.What comes next? 11, 9, 7, 5, 3, ? (a) 1 (b) 2 (c) 3 (d) 4
  38. 38.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 120 (c) 200 (d) 161
  39. 39.What comes next? 3, 6, 9, 12, 15, ? (a) 18 (b) 17 (c) 21 (d) 19
  40. 40.What comes next? 29, 35, 41, 47, 53, ? (a) 60 (b) 65 (c) 58 (d) 59

Answer key

  1. 12
  2. 22
  3. 27
  4. 12
  5. 5
  6. 19
  7. 10
  8. 79
  9. 31
  10. 40
  11. 81
  12. 17
  13. 34
  14. 30
  15. 10
  16. 6
  17. 192
  18. 28
  19. 16
  20. 14
  21. 69
  22. 15
  23. 32
  24. 7
  25. 1
  26. 20
  27. 47
  28. 29
  29. 45
  30. 38
  31. 36
  32. 18
  33. 7
  34. 10
  35. 57
  36. 31
  37. 1
  38. 160
  39. 18
  40. 59

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