Practice
Perimeter, Area and Pythagoras practice
Practise perimeter, area and pythagoras at your own pace. Choose a difficulty, try each question on paper or in your jotter, use hints only when you need a start, then show answers to check your work.
Build your confidence
Choose a difficulty and practice length, write down your working, then reveal answers only when you are ready to check. Hints give a starting point without giving away the answer.
Practice set
Current set: Mixed. Show your method for each question before checking answers.
1. Use π and give the circumference to 1 decimal place.
2. Find the area of a parallelogram with base 16 cm and perpendicular height 11 cm.
3. State the gradient of the slope as a simplified vertical height : horizontal distance ratio.
4. A rectilinear garden has the perimeter of a 10 m by 6 m rectangle plus a rectangular outward extension that adds two sides of 2 m. Find the perimeter.
5. A rectangle has area 75 cm² and width 5 cm. Find its length.
6. A rhombus has perpendicular diagonals 10 m and 10 m. Calculate its area.
7. Find the area of a triangle with base 10 cm and height 9 cm.
8. An access rule requires a gradient no steeper than 1:10. Is the shown ramp suitable?
9. A design length of 10 cm is changed by scale factor 3. Find the new length.
10. Use Pythagoras’ theorem to find the missing horizontal distance.
Practice answers
Check your work when you are ready.