Perimeter, Area & Volume — Year 7 Practice Questions
13 marks · Suggested time: 25 minutes
Practise perimeter, area and volume with these Year 7 questions. Remember to include the correct units.
Questions
A rectangle is 8 cm long and 5 cm wide. Find its perimeter.
A rectangle is 8 cm long and 5 cm wide. Find its area.
A triangle has a base of 10 cm and a perpendicular height of 6 cm. Find its area.
A cuboid measures 4 cm by 3 cm by 5 cm. Find its volume.
A square has an area of 49 cm². Find the length of one side.
An L-shape is made from a 6 cm by 4 cm rectangle with a 2 cm by 2 cm square removed from one corner. Find its area.
Answers & Worked Solutions
Question 1 Solution
Step 1: Perimeter = 2 × (length + width) = 2 × (8 + 5).
Step 2: 2 × 13 = 26 cm.
Answer: 26 cm
Question 2 Solution
Step 1: Area = length × width = 8 × 5.
Step 2: Area = 40 cm².
Answer: 40 cm²
Question 3 Solution
Step 1: Area = ½ × base × height = ½ × 10 × 6.
Step 2: Area = 30 cm².
Answer: 30 cm²
Question 4 Solution
Step 1: Volume = length × width × height = 4 × 3 × 5.
Step 2: Volume = 60 cm³.
Answer: 60 cm³
Question 5 Solution
Step 1: Area of a square = side × side, so side = √49.
Step 2: √49 = 7 cm.
Answer: 7 cm
Question 6 Solution
Step 1: Area of the full rectangle = 6 × 4 = 24 cm².
Step 2: Area of the removed square = 2 × 2 = 4 cm².
Step 3: Remaining area = 24 − 4 = 20 cm².
Answer: 20 cm²
Frequently Asked Questions
Why do I keep losing marks on units?
Length is in cm, area in cm² and volume in cm³. Always write the correct square or cube unit with your answer.
Build strong foundations in Perimeter, Area & Volume
A free trial class with Teacher Rig helps your Year 7 child master Perimeter, Area & Volume now — so IGCSE Maths feels familiar, not frightening, later.
Heading toward IGCSE? See how Perimeter, Area & Volume develops in IGCSE Mensuration (Cambridge 0580) →