Q. A circle has a radius of 7 cm. What is the area of the circle?
A.
154 cm²
B.
144 cm²
C.
160 cm²
D.
150 cm²
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Solution
Area of a circle = πr². Using π ≈ 3.14, Area = 3.14 × (7)² = 3.14 × 49 = 153.86 cm², which rounds to 154 cm².
Correct Answer: A — 154 cm²
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Q. A rectangle has a length that is twice its width. If the area of the rectangle is 200 square units, what is the width of the rectangle?
A.
10 units
B.
20 units
C.
15 units
D.
25 units
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Solution
Let the width be x units. Then the length is 2x units. Area = length × width = 2x * x = 2x^2. Setting this equal to 200 gives 2x^2 = 200, so x^2 = 100, and x = 10 units.
Correct Answer: A — 10 units
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Q. A rectangle has an area of 48 square meters and a length of 12 meters. What is the width?
A.
4 meters
B.
6 meters
C.
8 meters
D.
10 meters
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Solution
Area = length × width. Thus, 48 = 12 × width, giving width = 48/12 = 4 meters.
Correct Answer: B — 6 meters
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Q. A square has a perimeter of 40 cm. What is the area of the square?
A.
100 cm²
B.
200 cm²
C.
150 cm²
D.
250 cm²
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Solution
Perimeter of a square = 4 × side. Thus, 40 = 4 × side, giving side = 10 cm. Area = side² = 10² = 100 cm².
Correct Answer: A — 100 cm²
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Q. A trapezium has bases of lengths 10 cm and 6 cm, and a height of 4 cm. What is the area of the trapezium?
A.
32 cm²
B.
40 cm²
C.
36 cm²
D.
28 cm²
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Solution
Area of a trapezium = (1/2) × (base1 + base2) × height = (1/2) × (10 + 6) × 4 = 32 cm².
Correct Answer: A — 32 cm²
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Q. If the area of a parallelogram is 120 square units and the base is 15 units, what is the height?
A.
8 units
B.
10 units
C.
12 units
D.
15 units
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Solution
Area = base × height. Thus, 120 = 15 × height, giving height = 120/15 = 8 units.
Correct Answer: B — 10 units
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Q. If the area of a sector of a circle is 30 cm² and the radius is 5 cm, what is the angle of the sector in degrees?
A.
60°
B.
72°
C.
90°
D.
120°
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Solution
Area of a sector = (θ/360) × πr². Thus, 30 = (θ/360) × π × 25. Solving gives θ = (30 × 360)/(25π) ≈ 72°.
Correct Answer: B — 72°
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Q. If the area of a triangle is 50 square units and its base is 10 units, what is the height of the triangle?
A.
5 units
B.
10 units
C.
15 units
D.
20 units
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Solution
Area of a triangle = (1/2) × base × height. Thus, 50 = (1/2) × 10 × height. Solving gives height = 10 units.
Correct Answer: A — 5 units
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Q. What is the area of a rhombus with diagonals measuring 10 cm and 24 cm?
A.
120 cm²
B.
60 cm²
C.
80 cm²
D.
100 cm²
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Solution
Area of a rhombus = (1/2) × d1 × d2 = (1/2) × 10 × 24 = 120 cm².
Correct Answer: A — 120 cm²
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