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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 755 · 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? 47, 41, 35, 29, 23, ? (a) 11 (b) 16 (c) 17 (d) 18
  2. 2.What comes next? 6, 12, 9, 15, 12, 18, ? (a) 21 (b) 15 (c) 14 (d) 24
  3. 3.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 192 (c) 240 (d) 144
  4. 4.What comes next? 43, 39, 35, 31, 27, ? (a) 22 (b) 24 (c) 19 (d) 23
  5. 5.What comes next? 17, 20, 18, 21, 19, 22, ? (a) 20 (b) 19 (c) 25 (d) 24
  6. 6.What comes next? 19, 22, 26, 31, 37, ? (a) 43 (b) 45 (c) 46 (d) 44
  7. 7.What comes next? 34, 28, 22, 16, 10, ? (a) 4 (b) 5 (c) 3 (d) 6
  8. 8.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 81 (c) 72 (d) 45
  9. 9.What comes next? 2, 6, 3, 7, 4, 8, ? (a) 12 (b) 4 (c) 5 (d) 11
  10. 10.What comes next? 6, 11, 16, 21, 26, ? (a) 30 (b) 36 (c) 32 (d) 31
  11. 11.What comes next? 7, 10, 9, 12, 11, 14, ? (a) 15 (b) 13 (c) 12 (d) 17
  12. 12.What comes next? 1, 5, 10, 16, 23, ? (a) 30 (b) 33 (c) 32 (d) 31
  13. 13.What comes next? 10, 13, 16, 19, 22, ? (a) 25 (b) 28 (c) 24 (d) 26
  14. 14.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 40 (c) 24 (d) 32
  15. 15.What comes next? 52, 46, 40, 34, 28, ? (a) 23 (b) 16 (c) 21 (d) 22
  16. 16.What comes next? 11, 15, 12, 16, 13, 17, ? (a) 21 (b) 13 (c) 20 (d) 14
  17. 17.What comes next? 18, 25, 20, 27, 22, 29, ? (a) 23 (b) 36 (c) 24 (d) 34
  18. 18.What comes next? 7, 12, 17, 22, 27, ? (a) 31 (b) 37 (c) 32 (d) 33
  19. 19.What comes next? 40, 36, 32, 28, 24, ? (a) 16 (b) 21 (c) 19 (d) 20
  20. 20.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 160 (c) 200 (d) 120
  21. 21.What comes next? 19, 22, 21, 24, 23, 26, ? (a) 25 (b) 27 (c) 24 (d) 29
  22. 22.What comes next? 12, 15, 19, 24, 30, ? (a) 39 (b) 38 (c) 36 (d) 37
  23. 23.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 128 (c) 160 (d) 129
  24. 24.What comes next? 6, 17, 28, 39, 50, ? (a) 60 (b) 72 (c) 62 (d) 61
  25. 25.What comes next? 21, 33, 45, 57, 69, ? (a) 93 (b) 82 (c) 80 (d) 81
  26. 26.What comes next? 11, 9, 7, 5, 3, ? (a) 3 (b) 2 (c) 4 (d) 1
  27. 27.What comes next? 19, 17, 15, 13, 11, ? (a) 10 (b) 9 (c) 8 (d) 7
  28. 28.What comes next? 9, 14, 10, 15, 11, 16, ? (a) 21 (b) 11 (c) 20 (d) 12
  29. 29.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 162 (c) 90 (d) 180
  30. 30.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 120 (c) 96 (d) 97
  31. 31.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 65 (c) 64 (d) 48
  32. 32.What comes next? 20, 27, 24, 31, 28, 35, ? (a) 38 (b) 42 (c) 32 (d) 31
  33. 33.What comes next? 7, 16, 25, 34, 43, ? (a) 53 (b) 61 (c) 52 (d) 51
  34. 34.What comes next? 16, 19, 23, 28, 34, ? (a) 42 (b) 40 (c) 43 (d) 41
  35. 35.What comes next? 7, 8, 10, 13, 17, ? (a) 23 (b) 24 (c) 22 (d) 21
  36. 36.What comes next? 24, 20, 16, 12, 8, ? (a) 4 (b) 5 (c) 3 (d) 6
  37. 37.What comes next? 16, 26, 36, 46, 56, ? (a) 76 (b) 66 (c) 65 (d) 67
  38. 38.What comes next? 11, 15, 13, 17, 15, 19, ? (a) 17 (b) 23 (c) 21 (d) 16
  39. 39.What comes next? 17, 25, 22, 30, 27, 35, ? (a) 43 (b) 38 (c) 31 (d) 32
  40. 40.What comes next? 2, 5, 9, 14, 20, ? (a) 29 (b) 28 (c) 26 (d) 27

Answer key

  1. 17
  2. 15
  3. 192
  4. 23
  5. 20
  6. 44
  7. 4
  8. 81
  9. 5
  10. 31
  11. 13
  12. 31
  13. 25
  14. 32
  15. 22
  16. 14
  17. 24
  18. 32
  19. 20
  20. 160
  21. 25
  22. 37
  23. 128
  24. 61
  25. 81
  26. 1
  27. 9
  28. 12
  29. 162
  30. 96
  31. 64
  32. 32
  33. 52
  34. 41
  35. 22
  36. 4
  37. 66
  38. 17
  39. 32
  40. 27

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