Q. What is the area of a rectangle with a length of 5 units and a width of 3 units?
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Solution
The area of a rectangle is calculated using the formula A = length × width. Here, A = 5 × 3 = 15.
Correct Answer:
B
— 15
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Q. What is the area of a triangle with a base of 6 units and a height of 4 units?
A.
12 square units
B.
24 square units
C.
18 square units
D.
30 square units
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Solution
The area A of a triangle is given by A = 1/2 * base * height = 1/2 * 6 * 4 = 12 square units.
Correct Answer:
A
— 12 square units
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Q. What is the area of a triangle with a base of 8 units and a height of 5 units?
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Solution
The area of a triangle is calculated using the formula A = 1/2 * base * height. A = 1/2 * 8 * 5 = 20.
Correct Answer:
A
— 20
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Q. What is the length of the hypotenuse of a right triangle with legs of lengths 6 and 8?
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Solution
Using the Pythagorean theorem, c = √(a² + b²) = √(6² + 8²) = √(36 + 64) = √100 = 10.
Correct Answer:
A
— 10
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Q. What is the volume of a cylinder with a radius of 2 units and a height of 5 units?
A.
20π
B.
10π
C.
15π
D.
25π
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Solution
The volume of a cylinder is calculated using the formula V = πr²h. Here, V = π(2)²(5) = π(4)(5) = 20π.
Correct Answer:
A
— 20π
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Q. Which of the following triangles is congruent to a triangle with sides 5, 12, and 13?
A.
5, 12, 14
B.
6, 8, 10
C.
5, 12, 13
D.
7, 24, 25
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Solution
A triangle with sides 5, 12, and 13 is congruent to itself.
Correct Answer:
C
— 5, 12, 13
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Q. Which of the following triangles is congruent to triangle ABC if angle A = angle D and side AB = side DE?
A.
Triangle DEF
B.
Triangle XYZ
C.
Triangle PQR
D.
Triangle LMN
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Solution
By the Angle-Side-Angle (ASA) postulate, if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.
Correct Answer:
A
— Triangle DEF
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