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Measuring Area Quiz - CBSE Class 7 Mathematics

Free practice quiz: Measuring Area (CBSE Class 7 Mathematics). 10 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This CBSE Class 7 Mathematics practice quiz has 10 multiple-choice questions on Measuring Area, and 10 of them come with an explanation. Try the 5 sample questions below (tap an option to check yourself), then play the full quiz online. No sign-up needed.

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Area of Rectangles and Squares

Area is the amount of surface a flat shape covers, measured in square units like cm² or m².
Rectangle area is length times breadth. A square has equal sides, so multiply the side by itself.
If area and one side are known, divide the area by that side to get the other side.

Rectangle

\[A = l \times b\]

Square

\[A = s^2\]

Missing breadth

\[b = \frac{A}{l}\]

Common mistake: Adding sides as you would for perimeter, or writing the unit as cm instead of cm².

Parallelograms and Triangles

A parallelogram's area is its base times its perpendicular height.
A triangle is half of a parallelogram with the same base and height, so take half of base times height.
Height must meet the base at a right angle. It is not the slanted side.

Parallelogram

\[A = b \times h\]

Triangle

\[A = \frac{1}{2} \times b \times h\]

Common mistake: Using a slanted side length as the height instead of the perpendicular height.

Rhombus and Trapezium Areas

A rhombus's area is half the product of its two diagonals.
A trapezium has two parallel sides. Add them, multiply by the height, then halve the result.

Rhombus

\[A = \frac{1}{2} \times d_1 \times d_2\]

Trapezium

\[A = \frac{1}{2} \times (a + b) \times h\]

Common mistake: Forgetting the half, or multiplying the two parallel sides together instead of adding them.

Area of a Circle

A circle's area is pi times the radius squared.
The radius is half the diameter. Always find the radius first.
Use \pi \approx \frac{22}{7} or 3.14, as the question asks.

Circle

\[A = \pi r^2\]

Radius from diameter

\[r = \frac{d}{2}\]

Value of pi

\[\pi \approx \frac{22}{7} \approx 3.14\]

Common mistake: Putting the diameter into \pi r^2 instead of the radius, which makes the answer four times too big.

Area of a Regular Hexagon

A regular hexagon with side a splits into six equal equilateral triangles, each with side a.
Find one triangle's area and multiply by six to get the hexagon's area.

Equilateral triangle

\[A = \frac{\sqrt{3}}{4} a^2\]

Regular hexagon

\[A = \frac{3\sqrt{3}}{2} a^2\]

Common mistake: Multiplying the side by six, which gives the perimeter, not the area.

Exam tips

Always write the answer in square units, such as cm² or m².
Read circle questions carefully. Check whether the radius or the diameter is given.
Use 22/7 for pi when the radius is a multiple of 7. It simplifies easily.

Beta: made with AI and checked by a second AI. A teacher has not reviewed it yet.

Sample questions

What is the area of a rectangle with a length of 5 cm and a width of 3 cm?
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Answer: A. 15 cm²
The area of a rectangle is found by multiplying its length by its width. So, 5 cm * 3 cm = 15 cm².
What is the area of a triangle with a base of 6 cm and a height of 4 cm?
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Answer: A. 12 cm²
The area of a triangle is (base * height) / 2. Thus, (6 cm * 4 cm) / 2 = 12 cm².
Find the area of a rhombus with diagonals 8 cm and 6 cm.
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Answer: A. 24 cm²
The area of a rhombus is (d1 * d2) / 2. Thus, (8 cm * 6 cm) / 2 = 24 cm².
Calculate the area of a trapezoid with bases 3 cm and 5 cm, and height 4 cm.
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Answer: A. 16 cm²
The area of a trapezoid is ((b1 + b2) / 2) * height. Thus, ((3 cm + 5 cm) / 2) * 4 cm = 16 cm².
What is the area of a regular hexagon with a side of 4 cm?
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Answer: A. 41.57 cm²
Using the formula (3√3/2) * s², where s is the side, area ≈ 41.57 cm² for s = 4 cm.