Mensuration
ICSE · Class 7 · Mathematics
Most important questions from Mensuration for ICSE Class 7 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.
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Sample Questions
An isosceles triangle has equal sides 10 cm each and base 12 cm. Find its area.
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48 cm²
For an isosceles triangle, area = 1/4 × b × √(4a² - b²). Here a = 10 cm and b = 12 cm. So area = 1/4 × 12 × √(4 × 10² - 12²) = 3 × √(400 - 144) = 3 × √256 = 3 × 16 = 48 cm².
The perimeter of a rectangle is 96 cm and its length is 28 cm. Find its breadth and area.
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Breadth 20 cm, area 560 cm²
Use b = P/2 - l. Here P = 96 cm, so P/2 = 48 cm. Breadth = 48 - 28 = 20 cm. Area = l × b = 28 × 20 = 560 cm².
A square has diagonal 14√2 cm. Find its area and side.
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Side 14 cm, area 196 cm²
For a square, diagonal = s√2. Given diagonal = 14√2 cm, so s = 14 cm. Area = s² = 14² = 196 cm².
The radii of two circles are 6 cm and 9 cm. Find the radius of a circle whose circumference equals the sum of their circumferences.
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15 cm
Sum of circumferences = 2π × 6 + 2π × 9 = 2π(6 + 9) = 2π × 15. So the required radius is 15 cm.
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