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Area Quiz - CBSE Class 6 Mathematics

Free practice quiz: Area (CBSE Class 6 Mathematics). 15 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This CBSE Class 6 Mathematics practice quiz has 15 multiple-choice questions on Area, and 15 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 flat surface a shape covers. It is measured in square units like cm² or m².
  • Rectangle area is length times breadth. A square has equal sides, so its area is side times side.
  • If you know the area and one side, divide the area by that side to get the other side.
Rectangle
\[A = l \times b\]
Square
\[A = s \times s = s^2\]
Missing side of rectangle
\[b = \frac{A}{l}\]
Both sides multiplied by k
\[(k l) \times (k b) = k^2 \times (l b)\]

Common mistake: Adding the sides (finding perimeter) instead of multiplying them, or writing the answer in cm instead of cm².

Parallelogram and Triangle Area

  • A parallelogram's area is its base times its height. The height is perpendicular to the base.
  • A triangle is half of a parallelogram with the same base and height, so its area is half.
Parallelogram
\[A = b \times h\]
Triangle
\[A = \frac{1}{2} \times b \times h\]

Common mistake: Using the slanting side length as the height. The height must be perpendicular (at a right angle) to the base.

Trapezium and Rhombus Area

  • A trapezium has two parallel sides. Add them, multiply by the height, then take half.
  • A rhombus has two diagonals that cut each other at right angles. Its area is half their product.
Trapezium (parallel sides a, b)
\[A = \frac{1}{2} \times (a + b) \times h\]
Rhombus (diagonals d_1, d_2)
\[A = \frac{1}{2} \times d_1 \times d_2\]

Common mistake: Forgetting to take half in the trapezium or rhombus formula, or multiplying the two parallel sides instead of adding them.

Area of a Circle

  • A circle's area is pi times the radius times the radius.
  • The radius goes from the centre to the edge. The diameter is twice the radius.
Circle
\[A = \pi r^2\]
Radius from diameter
\[r = \frac{d}{2}\]

Common mistake: Using the diameter in place of the radius, or using the circumference formula 2πr instead of πr².

Exam tips

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

Sample questions

  1. What is the area of a rectangle with a length of 4 cm and a width of 3 cm?

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    Answer: A. 12 cm²

    The area of a rectangle is calculated by multiplying the length by the width. So, the area is 4 cm * 3 cm = 12 cm².

  2. A rectangle has a length of 10 m and a width of 2 m. What is its area?

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    Answer: A. 20 m²

    The area of the rectangle is calculated by multiplying its length by its width. So, area = 10 m * 2 m = 20 m².

  3. A rectangle has an area of 50 m² and a length of 10 m. What is the width?

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    Answer: A. 5 m

    To find the width, use the formula area = length * width. Rearranging gives width = area / length. So, width = 50 m² / 10 m = 5 m.

  4. A floor is 10 m long and 8 m wide. How many square meters of carpet are needed to cover it?

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    Answer: A. 80 m²

    To find the carpet area, compute the area of the floor: Area = length * width = 10 m * 8 m = 80 m².

  5. Calculate the area of a rhombus with diagonals of 10 cm and 6 cm.

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    Answer: A. 30 cm²

    The area of a rhombus is calculated using the formula (d1 * d2) / 2, where d1 and d2 are the lengths of the diagonals. So area = (10 cm * 6 cm) / 2 = 30 cm².

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More questions in this quiz

Answers and explanations are in the full quiz.

  1. What is the area of a square with a side length of 5 cm?
  2. Find the area of a triangle with a base of 6 cm and a height of 4 cm.
  3. What is the area of a parallelogram with a base of 8 cm and a height of 5 cm?
  4. If the dimensions of a rectangle are doubled, what happens to the area?
  5. What is the area of a trapezium with bases of 6 cm and 4 cm and a height of 5 cm?
  6. If a circle has a radius of 7 cm, what is its area? (Use π = 22/7)
  7. A garden is in the shape of a trapezium with bases of 5 m and 3 m and a height of 6 m. What is its area?
  8. A rectangular field measures 20 m in length and 15 m in width. What is the area of the field in square meters?
  9. A landscape artist is designing a rectangular park that is 50 m long and 20 m wide. What will be the area of the park?
  10. A farmer wants to fence a rectangular field that measures 50 m by 30 m. What will be the area of the field?

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