Geometry: More Practice

More practice on the Pythagorean theorem, circles and volume, for once the required set is done.

8 questions, free, marked as you go with a worked explanation on every one.

What this covers

• pythagorean theorem
• right triangles and circles
• volume capacity

The questions

1. A right triangle has legs 8 cm and 15 cm. Find the length of the hypotenuse.
2. A right triangle has legs 9 cm and 12 cm. Find the length of the hypotenuse.
3. A circle has radius 7 cm. Find its circumference in centimetres (use π ≈ 3.14).
4. A circle has radius 6 cm. Find its area in square centimetres (use π ≈ 3.14).
5. A rectangular prism has length 5 cm, width 4 cm, and height 3 cm. Find its volume in cubic centimetres.
6. In a right triangle, what are the two sides that meet at the right angle called?
7. A ladder 10 m long leans against a vertical wall. The foot of the ladder is 6 m out from the base of the wall. How far up the wall does the top of the ladder reach, in metres?
8. Find the volume of a cube with side length 5 cm, in cubic centimetres.

Answer these free