Q. A circle has a diameter of 10 m. What is its area?
-
A.
25π m²
-
B.
50π m²
-
C.
100π m²
-
D.
75π m²
Solution
Area = πr² = π(5)² = 25π m².
Correct Answer:
B
— 50π m²
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Q. A circle has a radius of 3 cm. What is the diameter?
-
A.
3 cm
-
B.
6 cm
-
C.
9 cm
-
D.
12 cm
Solution
Diameter = 2r = 2(3) = 6 cm.
Correct Answer:
B
— 6 cm
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Q. A circle is inscribed in a square of side 8 cm. What is the area of the circle?
-
A.
16π cm²
-
B.
32π cm²
-
C.
64π cm²
-
D.
8π cm²
Solution
Radius = 4 cm; Area = πr² = π(4)² = 16π cm².
Correct Answer:
A
— 16π cm²
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Q. A circular pond has a radius of 7 meters. What is the circumference of the pond? (Use π = 22/7)
-
A.
44 meters
-
B.
22 meters
-
C.
14 meters
-
D.
28 meters
Solution
Circumference = 2πr = 2 × (22/7) × 7 = 44 meters.
Correct Answer:
A
— 44 meters
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Q. A cone has a base radius of 3 cm and a slant height of 5 cm. What is its lateral surface area?
-
A.
15π cm²
-
B.
20π cm²
-
C.
30π cm²
-
D.
25π cm²
Solution
Lateral surface area of a cone = π * radius * slant height = π * 3 * 5 = 15π cm².
Correct Answer:
A
— 15π cm²
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Q. A cone has a radius of 4 cm and a height of 9 cm. What is its volume?
-
A.
36π cm³
-
B.
48π cm³
-
C.
72π cm³
-
D.
12π cm³
Solution
Volume of a cone = (1/3) * π * (radius)² * height = (1/3) * π * (4)² * 9 = (1/3) * π * 16 * 9 = 48π cm³.
Correct Answer:
A
— 36π cm³
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Q. A cylinder has a radius of 3 cm and a height of 5 cm. What is its volume? (Use π = 3.14)
-
A.
47.1 cm³
-
B.
28.26 cm³
-
C.
45.0 cm³
-
D.
30.0 cm³
Solution
Volume = πr²h = 3.14 × 3² × 5 = 3.14 × 9 × 5 = 141.3 cm³.
Correct Answer:
B
— 28.26 cm³
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Q. A cylinder has a radius of 3 cm and a height of 7 cm. What is its volume?
-
A.
63 cm³
-
B.
78 cm³
-
C.
84 cm³
-
D.
90 cm³
Solution
Volume of a cylinder = π * (radius)² * height = π * (3)² * 7 = 63π cm³ ≈ 197.82 cm³.
Correct Answer:
B
— 78 cm³
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Q. A hemisphere has a radius of 5 cm. What is its total surface area?
-
A.
75π cm²
-
B.
50π cm²
-
C.
25π cm²
-
D.
100π cm²
Solution
Total surface area of a hemisphere = 3π * (radius)² = 3π * (5)² = 3π * 25 = 75π cm².
Correct Answer:
A
— 75π cm²
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Q. A parallelogram has an area of 56 cm² and a base of 7 cm. What is the height?
-
A.
6 cm
-
B.
8 cm
-
C.
4 cm
-
D.
7 cm
Solution
Area = base × height; 56 cm² = 7 cm × height; height = 56 cm² / 7 cm = 8 cm.
Correct Answer:
B
— 8 cm
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Q. A quadrilateral has sides of lengths 5 cm, 12 cm, 13 cm, and 14 cm. Is it a cyclic quadrilateral?
-
A.
Yes
-
B.
No
-
C.
Cannot be determined
-
D.
Only if it is a rectangle
Solution
A quadrilateral is cyclic if the sum of opposite angles is 180 degrees. This cannot be determined with just side lengths.
Correct Answer:
B
— No
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Q. A rectangular box has dimensions 2 m, 3 m, and 4 m. What is its volume?
-
A.
24 m³
-
B.
20 m³
-
C.
18 m³
-
D.
12 m³
Solution
Volume of a rectangular box = length * width * height = 2 * 3 * 4 = 24 m³.
Correct Answer:
A
— 24 m³
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Q. A rectangular garden is 20 meters long and 15 meters wide. What is the area of the garden?
-
A.
300 square meters
-
B.
250 square meters
-
C.
400 square meters
-
D.
350 square meters
Solution
Area = length × width = 20 × 15 = 300 square meters.
Correct Answer:
A
— 300 square meters
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Q. A trapezium has bases of lengths 8 cm and 12 cm, and the height is 5 cm. What is the area of the trapezium?
-
A.
50 cm²
-
B.
60 cm²
-
C.
70 cm²
-
D.
80 cm²
Solution
Area = 1/2 * (base1 + base2) * height = 1/2 * (8 + 12) * 5 = 50 cm².
Correct Answer:
B
— 60 cm²
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Q. A triangle has a base of 12 m and a height of 8 m. What is its area?
-
A.
48 m²
-
B.
96 m²
-
C.
24 m²
-
D.
32 m²
Solution
Area = (base × height) / 2 = (12 m × 8 m) / 2 = 48 m².
Correct Answer:
A
— 48 m²
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Q. A triangle has an area of 30 m² and a height of 10 m. What is the length of the base?
-
A.
6 m
-
B.
3 m
-
C.
5 m
-
D.
12 m
Solution
Area = (base × height) / 2; 30 m² = (base × 10 m) / 2; base = (30 m² × 2) / 10 m = 6 m.
Correct Answer:
A
— 6 m
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Q. A triangle has sides of lengths 5 cm, 12 cm, and 13 cm. Is it a right triangle?
-
A.
Yes
-
B.
No
-
C.
Cannot be determined
-
D.
Only if angles are known
Solution
5² + 12² = 25 + 144 = 169 = 13², so it is a right triangle.
Correct Answer:
A
— Yes
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Q. A triangle has sides of lengths 5 cm, 12 cm, and 13 cm. What is its area?
-
A.
30 cm²
-
B.
60 cm²
-
C.
24 cm²
-
D.
36 cm²
Solution
This is a right triangle; Area = (base × height) / 2 = (5 cm × 12 cm) / 2 = 30 cm².
Correct Answer:
A
— 30 cm²
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Q. Find the total surface area of a rectangular prism with length 4 cm, width 3 cm, and height 5 cm.
-
A.
62 cm²
-
B.
54 cm²
-
C.
42 cm²
-
D.
36 cm²
Solution
Total surface area = 2(lw + lh + wh) = 2(4*3 + 4*5 + 3*5) = 2(12 + 20 + 15) = 2(47) = 94 cm².
Correct Answer:
B
— 54 cm²
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Q. Find the x-intercept of the equation 3x + 4y = 12.
Solution
Setting y = 0: 3x + 4(0) = 12 => 3x = 12 => x = 4. The x-intercept is 4.
Correct Answer:
B
— 2
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Q. How many ways can you choose 3 items from a set of 10?
-
A.
120
-
B.
210
-
C.
100
-
D.
30
Solution
C(10,3) = 10! / (3!(10-3)!) = 120.
Correct Answer:
B
— 210
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Q. How many ways can you choose 3 items from a set of 5?
Solution
The number of ways to choose 3 items from 5 is calculated using combinations: C(5,3) = 5! / (3!(5-3)!) = 10.
Correct Answer:
A
— 10
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Q. If 2x + 3y = 12 and x = 3, what is the value of y?
Solution
Substituting x = 3 into the equation: 2(3) + 3y = 12 => 6 + 3y = 12 => 3y = 6 => y = 2.
Correct Answer:
C
— 2
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Q. If 3x + 5y = 15 and 2x - y = 1, what is the value of y?
Solution
Solving the equations simultaneously gives y = 2.
Correct Answer:
B
— 2
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Q. If 5x + 2y = 20 and y = 5, what is the value of x?
Solution
Substituting y = 5 into the equation: 5x + 2(5) = 20 => 5x + 10 = 20 => 5x = 10 => x = 2.
Correct Answer:
C
— 4
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Q. If a car travels at a speed of 80 km/h, how long will it take to cover 240 km?
-
A.
2 hours
-
B.
2.5 hours
-
C.
3 hours
-
D.
3.5 hours
Solution
Time = Distance / Speed = 240 km / 80 km/h = 3 hours.
Correct Answer:
C
— 3 hours
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Q. If a circle's radius is increased by 2 cm, what is the new area if the original radius was 4 cm?
-
A.
36π cm²
-
B.
32π cm²
-
C.
28π cm²
-
D.
24π cm²
Solution
New radius = 6 cm; New area = π(6)² = 36π cm².
Correct Answer:
A
— 36π cm²
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Q. If a coin is flipped three times, what is the probability of getting exactly two heads?
-
A.
3/8
-
B.
1/2
-
C.
1/4
-
D.
5/8
Solution
The probability of getting exactly 2 heads in 3 flips is calculated using the binomial formula: C(3,2) * (1/2)^2 * (1/2)^1 = 3/8.
Correct Answer:
A
— 3/8
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Q. If a parallelogram has an area of 100 m² and a height of 10 m, what is the length of the base?
-
A.
5 m
-
B.
10 m
-
C.
15 m
-
D.
20 m
Solution
Area = base × height; 100 m² = base × 10 m; base = 100 m² / 10 m = 10 m.
Correct Answer:
D
— 20 m
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Q. If a quadrilateral has sides of lengths 6 cm, 8 cm, 10 cm, and 12 cm, can it form a valid quadrilateral?
-
A.
Yes
-
B.
No
-
C.
Only if it is a rectangle
-
D.
Only if it is a square
Solution
A quadrilateral can be formed if the sum of any three sides is greater than the fourth side. Here, it is valid.
Correct Answer:
A
— Yes
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