Unit Test: Perimeter and Area | Mathematics (Maths) Class 7 (Old NCERT) PDF Download

Q1: What is the area of a parallelogram with a base of 6 cm and a height of 4 cm? (1 Mark)
(a) 24 cm²
(b) 10 cm²
(c) 16 cm²
(d) 12 cm²

Q2: A triangle has a base of 8 cm and a height of 5 cm. What is its area?  (1 Mark)
(a) 12 cm²
(b) 20 cm²
(c) 40 cm²
(d) 16 cm²

Q3: The perimeter of a rectangle is 20 cm. If the length is 7 cm, what is the breadth?  (1 Mark)
(a) 6 cm
(b) 5 cm
(c) 3 cm
(d) 4 cm

Q4: What is the area of a circle with a radius of 7 cm? (Use π = 3.14).  (1 Mark)
(a) 154 cm²
(b) 140 cm²
(c) 49 cm²
(d) 75 cm²

Q5: A parallelogram has a base of 10 cm and sides of 6 cm. What is its perimeter?   (1 Mark)
(a) 32 cm
(b) 24 cm
(c) 26 cm
(d) 20 cm

Q6: Calculate the perimeter of the figure. The figure is a semicircle, including its diameter.   (2 Marks)

Q7: Find the area of the triangle(in cm²) with base 6 cm and height 4 cm. (2 Marks)
Q8: Find the area and circumference of the circle whose radius is:  (2 Marks)
(a) 3cm
(b) 12cm

Q9: The rate of painting is Rs 20/m². Find the cost of painting a circular wall with a diameter of 2.4 m. (3 Marks)

Q10: The right-angled triangle is XYZ, given. This is right-angled at X. XY is perpendicular to ZY. If XY = 8 cm, ZY = 17 cm, and XZ = 15 cm, calculate the area of triangle XYZ. Also, calculate the length of XY.  (3 Marks)

Q11: DL and BM are the heights on sides AB and AD respectively of ABCE parallelogram. Let us suppose the area of the parallelogram is 1470 cm², AB = 35 cm and AD = 49 cm. Calculate the length of the BM and the DL.    (3 Marks)

Q12: Find the area of a flat circular ring formed by two concentric circles (circles with the same center) whose radii are 12 cm and 7 cm. (5 Marks)

Q13: Look at the figure given below, the circular card sheet has a radius of 14 cm. Two circles are removed of radius 3.5 cm and a rectangle is also removed, the length and breadth of the rectangle are 3 cm and 1cm respectively. Given the value = 22/7, calculate the area of the remaining sheet by applying the suitable formulas. (5 Marks)