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IGCSE Class 7  >  Class 7 Test  >  Year 7 Mathematics (Cambridge)  >  Test: Shapes, Area and Volume - Class 7 MCQ

Shapes, Area and Volume - Free MCQ Practice Test with solutions,


MCQ Practice Test & Solutions: Test: Shapes, Area and Volume (10 Questions)

You can prepare effectively for Class 7 Year 7 Mathematics IGCSE (Cambridge) with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Shapes, Area and Volume". These 10 questions have been designed by the experts with the latest curriculum of Class 7 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 20 minutes
  • - Number of Questions: 10

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Test: Shapes, Area and Volume - Question 1
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What is the volume of a cuboid with a length of 8 cm, a width of 4 cm and a height of 6 cm?

Detailed Solution: Question 1

8 x 4 x 6 = 192

Test: Shapes, Area and Volume - Question 2
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The volume of a cuboid is calculated using .......

Detailed Solution: Question 2

V = l x w x h (V = lwh)

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Test: Shapes, Area and Volume - Question 3
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An empty box can hold 100 smaller boxes each measuring 10 cm x 10 cm x 10 cm. How many litres of capacity does the empty box have?

Detailed Solution: Question 3

Each smaller box has a volume of 10 cm × 10 cm × 10 cm = 1,000 cm3. Since 1 litre = 1,000 cm3, each smaller box is 1 litre. The empty box holds 100 smaller boxes, so its capacity is 100 × 1,000 cm3 = 100,000 cm3 = 100 litres.

Test: Shapes, Area and Volume - Question 4
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The volume of a cube is 125 cm3. What is the length of each edge of the cube?

Detailed Solution: Question 4

The cube root of 125 = 5 because 5 x 5 x 5 = 125

Test: Shapes, Area and Volume - Question 5
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A cuboid has a volume of 72 cm3. Its length is 6 cm and its width is 4 cm. What is the height of the cuboid?

Detailed Solution: Question 5

Volume = length × width × height. Given volume = 72 cm3, length = 6 cm, width = 4 cm, we solve for height: 72 = 6 × 4 × h → 72 = 24h → h = 72 ÷ 24 = 3 cm.

Test: Shapes, Area and Volume - Question 6
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A tank has a length of 50 cm, a width of 60 cm and a height of 80 cm. How many litres of water can it hold?

Detailed Solution: Question 6

50 cm x 60 cm x 80 cm = 240,000 cm3. Then divide by 1,000 as 1 litre = 1,000 cm3

Test: Shapes, Area and Volume - Question 7
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An oil drum (cylinder) measures 88 cm tall and has a diameter of 60 cm. Approximately how many litres can it hold?

Detailed Solution: Question 7

60 cm diameter = 30 cm radius. 302 = 900. 900 x 3.142 (π) = 2,827.8 Multiply this by 88 (height or length) = 248,846 cm3 or approximately 249 litres

Test: Shapes, Area and Volume - Question 8
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Two cuboids have the same volume. The first measures 10 cm x 3 cm x 4 cm. The second measures 5 cm x 4 cm x what?

Detailed Solution: Question 8

10 x 3 x 4 = 120 so 5 x 4 x ? = 120 5 x 4 = 20 so 20 x ? = 120120 ÷ 20 = 6

Test: Shapes, Area and Volume - Question 9
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The volume of a cylinder is calculated using .......

Detailed Solution: Question 9

Work out the are of the circle on a cylinder using π r2 then times by the length of the cylinder

Test: Shapes, Area and Volume - Question 10
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A cuboid has a length of 10 cm, a width of 5 cm and a height of 15 cm. What is its volume?

Detailed Solution: Question 10

750cm3 = 10 cm x 5 cm x 15 cm (V = l x w x h)

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About this Class 7 Practice Test

This test contains 10 MCQs on Shapes, Area and Volume with detailed solutions for each question. It is part of the Year 7 Mathematics IGCSE (Cambridge) course on EduRev, designed to align with the current Class 7 syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

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If you found this Shapes, Area and Volume MCQ Test helpful, you can further enhance your Class 7 preparation with in-depth courses on EduRev, for all the subjects and topics available in Year 7 Mathematics IGCSE (Cambridge) course. The course offers:
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  • MCQ Test: variety of questions as per the pattern of Class 7 exam
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