Psychometric Entrance Test (PET Israel) · Quantitative Reasoning

Geometry

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

Practise Geometry now

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

All 15 questions

  1. 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?
  2. A circle has radius 10 cm. What is its area in terms of pi?
  3. 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?
  4. 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?
  5. A circle has circumference 18 pi cm. What is its area in terms of pi?
  6. 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?
  7. A pole 3 m tall casts a shadow 2 m long. At the same time a building casts a shadow 10 m long. How tall is the building in meters?
  8. A circle has radius 4 cm. What is its area in terms of pi?
  9. 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?
  10. 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?
  11. A circle has radius 9 cm. What is its area in terms of pi?
  12. 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?
  13. The perimeter of a rectangle is 46 cm and its length is 7 cm more than its width. What is its area in square cm?
  14. 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?
  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?

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