Perimeter and Area Practice Questions

Class 7 · Mathematics · 678 free MCQs with instant results and detailed explanations.

678
Total
225
Easy
334
Medium
119
Hard

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Topics in Perimeter and Area

Circumference of Circle 135
Area of Circle 198
Area of Parallelogram 172
Area of Triangle 173

Sample Questions from Perimeter and Area

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Q1
Easy
What is the formula to calculate the area of a parallelogram?
A. Base ร— Height
B. Base + Height
C. 2 ร— (Base + Height)
D. Base รท Height
Show Answer & Explanation
Correct Answer: A
The area of a parallelogram is calculated using the formula: Area = Base ร— Height.
Q2
Easy
A parallelogram has an area of 72 cmยฒ and a base of 12 cm. What is its height?
A. 6 cm
B. 8 cm
C. 10 cm
D. 4 cm
Show Answer & Explanation
Correct Answer: A
The height can be found using the formula: Height = Area รท Base = 72 cmยฒ รท 12 cm = 6 cm.
Q3
Easy
Which of the following figures represents a parallelogram?
A. Rectangle
B. Square
C. Rhombus
D. All of the above
Show Answer & Explanation
Correct Answer: D
All listed figures are types of parallelograms, as they all have opposite sides that are parallel and equal.
Q4
Medium
If the base of a parallelogram is doubled while the height remains the same, what happens to its area?
A. It doubles
B. It triples
C. It remains the same
D. It is halved
Show Answer & Explanation
Correct Answer: A
Doubling the base while keeping height constant means Area = 2 ร— base ร— height, thus the area doubles.
Q5
Medium
A parallelogram has an area of 72 cmยฒ and a base of 12 cm. What is its height?
A. 6 cm
B. 8 cm
C. 4 cm
D. 9 cm
Show Answer & Explanation
Correct Answer: A
Using the area formula: Area = base ร— height. Rearranging gives height = Area / base. Here, height = 72 cmยฒ / 12 cm = 6 cm.
Q6
Medium
A parallelogram has a height of 10 cm and an area of 100 cmยฒ. What is the length of its base?
A. 5 cm
B. 10 cm
C. 15 cm
D. 20 cm
Show Answer & Explanation
Correct Answer: B
Using the area formula: Area = base ร— height, rearranging gives base = Area / height. Here, base = 100 cmยฒ / 10 cm = 10 cm.
Q7
Medium
If each side of a parallelogram is increased by 2 cm, how does that affect the area?
A. Area increase is not predictable
B. Area increases by a fixed value
C. Area doubles
D. Area decreases
Show Answer & Explanation
Correct Answer: A
Increasing each side affects angles and height, thus area cannot be determined without knowing specific dimensions.
Q8
Hard
If the area of a parallelogram is 84 cmยฒ and the base is 12 cm, what is the height?
A. 7 cm
B. 6 cm
C. 5 cm
D. 8 cm
Show Answer & Explanation
Correct Answer: A
To find the height, rearrange the area formula: height = area / base.
Q9
Hard
A parallelogram has an area of 150 cmยฒ and a height of 10 cm. What is the length of its base?
A. 15 cm
B. 20 cm
C. 25 cm
D. 30 cm
Show Answer & Explanation
Correct Answer: B
Using the area formula, rearranging gives base = area / height.
Q10
Hard
A parallelogram has a base of 14 cm and an area of 112 cmยฒ. What is its height?
A. 8 cm
B. 6 cm
C. 10 cm
D. 12 cm
Show Answer & Explanation
Correct Answer: A
Height can be found using the formula: height = area / base.

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Perimeter and Area โ€” Class 7 Mathematics Practice Questions Online

This page contains 678 practice MCQs for the chapter Perimeter and Area in Class 7 Mathematics. The questions are organized by difficulty โ€” 225 easy, 334 medium, 119 hard โ€” so you can choose the right level for your preparation.

Every question includes a detailed explanation to help you understand the concept, not just memorize answers. Take a timed quiz to simulate exam conditions, or practice at your own pace with no time limit. This chapter covers 4 topics, giving you comprehensive coverage of the entire chapter.