University of Bahrain Aptitude Test (UOB Aptitude) · Mathematics Reasoning

Geometry

17 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 17 questions

  1. A circle has circumference 8 pi cm. What is its area in terms of pi?
  2. A ladder 13 m long leans against a vertical wall with its foot 5 m from the wall. How high up the wall does it reach, in meters?
  3. A pole 5 m tall casts a shadow 4 m long. At the same time a building casts a shadow 16 m long. How tall is the building in meters?
  4. A circle has radius 3 cm. What is its area in terms of pi?
  5. A ladder 10 m long leans against a vertical wall with its foot 6 m from the wall. How high up the wall does it reach, in meters?
  6. A pole 3 m tall casts a shadow 4 m long. At the same time a building casts a shadow 20 m long. How tall is the building in meters?
  7. A circle has circumference 12 pi cm. What is its area in terms of pi?
  8. A ladder 17 m long leans against a vertical wall with its foot 8 m from the wall. How high up the wall does it reach, in meters?
  9. A pole 4 m tall casts a shadow 5 m long. At the same time a building casts a shadow 30 m long. How tall is the building in meters?
  10. A circle has circumference 20 pi cm. What is its area in terms of pi?
  11. The perimeter of a rectangle is 40 cm and its length is 8 cm more than its width. What is its area in square cm?
  12. A circle has circumference 18 pi cm. What is its area in terms of pi?
  13. A pole 2 m tall casts a shadow 3 m long. At the same time a building casts a shadow 12 m long. How tall is the building in meters?
  14. A circle has radius 5 cm. What is its area in terms of pi?
  15. A ladder 15 m long leans against a vertical wall with its foot 9 m from the wall. How high up the wall does it reach, in meters?
  16. The perimeter of a rectangle is 34 cm and its length is 7 cm more than its width. What is its area in square cm?
  17. A ladder 25 m long leans against a vertical wall with its foot 7 m from the wall. How high up the wall does it reach, in meters?

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