Mensuration — Year 9 Practice Questions
Work through these Year 9 practice questions on mensuration. Try each one before revealing the worked solution.
Questions
A circle has radius 5 cm. Find its area. Use π = 3.14.
A cylinder has radius 2 cm and height 10 cm. Find its volume. Use π = 3.14.
Find the curved surface area of a cylinder with radius 3 cm and height 7 cm. Use π = 3.14.
How many cm² are there in 1 m²?
How many cm³ are there in 1 m³?
Find the total surface area of a cylinder with radius 2 cm and height 5 cm. Use π = 3.14.
A solid is a cuboid 5 cm × 4 cm × 3 cm with a 2 cm × 2 cm × 3 cm piece removed. Find its volume.
A cylinder has diameter 10 cm and height 4 cm. Find its volume. Use π = 3.14.
Answers & Worked Solutions
Question 1 Solution
Step 1: A = πr² = 3.14 × 5².
Step 2: 3.14 × 25 = 78.5 cm².
Answer: 78.5 cm²
Question 2 Solution
Step 1: V = πr²h = 3.14 × 2² × 10.
Step 2: 3.14 × 4 × 10 = 125.6 cm³.
Answer: 125.6 cm³
Question 3 Solution
Step 1: Curved surface = 2πrh = 2 × 3.14 × 3 × 7.
Step 2: = 131.88 cm².
Answer: 131.88 cm²
Question 4 Solution
Step 1: 1 m = 100 cm, and area squares the factor.
Step 2: 100 × 100 = 10 000 cm².
Answer: 10 000
Question 5 Solution
Step 1: 1 m = 100 cm, and volume cubes the factor.
Step 2: 100 × 100 × 100 = 1 000 000 cm³.
Answer: 1 000 000
Question 6 Solution
Step 1: Total = 2πr² + 2πrh = 2×3.14×4 + 2×3.14×2×5.
Step 2: = 25.12 + 62.8 = 87.92 cm².
Answer: 87.92 cm²
Question 7 Solution
Step 1: Cuboid volume = 5 × 4 × 3 = 60 cm³.
Step 2: Removed = 2 × 2 × 3 = 12 cm³; 60 − 12 = 48 cm³.
Answer: 48 cm³
Question 8 Solution
Step 1: Radius = 10 ÷ 2 = 5 cm.
Step 2: V = πr²h = 3.14 × 25 × 4 = 314 cm³.
Answer: 314 cm³
Build strong foundations in Mensuration
A free trial class with Teacher Rig helps your Year 9 child master Mensuration now — so IGCSE Maths feels familiar, not frightening, later.
Heading toward IGCSE? See how Mensuration develops in IGCSE Mensuration (Cambridge 0580) →