Geometry: Further Practice
The Pythagorean theorem, circle circumference and area, and the volume of prisms and cylinders.
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
- A right triangle has legs 9 cm and 12 cm. Find the length of the hypotenuse, in centimetres.
- A 13 m ladder leans against a wall with its base 5 m from the wall. How high up the wall does it reach, in metres?
- A circle has diameter 10 cm. What is its circumference, to one decimal place? (Use π ≈ 3.14.)
- Find the area of a circle with radius 6 cm, to the nearest whole number. (Use π ≈ 3.14.)
- A rectangular prism measures 4 cm by 5 cm by 10 cm. Find its volume, in cubic centimetres.
- Which set of side lengths could form a right triangle?
- Use the table below, giving the three side lengths of four triangles. Which one is a right triangle?
- A cylinder has radius 3 cm and height 10 cm. Find its volume, to the nearest whole number. (Use π ≈ 3.14.)