Q. What is the approximate temperature range of the Earth's mantle? (2020)
-
A.
200-400 °C
-
B.
500-900 °C
-
C.
1,000-3,000 °C
-
D.
3,000-5,000 °C
Solution
The temperature of the Earth's mantle ranges from about 1,000 °C to 3,000 °C as you go deeper.
Correct Answer:
C
— 1,000-3,000 °C
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Q. What is the approximate temperature range of the Earth's outer core? (2020)
-
A.
1,000 - 2,000 °C
-
B.
2,000 - 4,000 °C
-
C.
4,000 - 6,000 °C
-
D.
6,000 - 8,000 °C
Solution
The temperature of the Earth's outer core ranges from approximately 4,000 to 6,000 degrees Celsius.
Correct Answer:
C
— 4,000 - 6,000 °C
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Q. What is the approximate thickness of the Earth's crust? (2021)
-
A.
5-10 km
-
B.
30-50 km
-
C.
70-100 km
-
D.
100-150 km
Solution
The Earth's crust varies in thickness, averaging about 30-50 km under continents and about 5-10 km under oceans.
Correct Answer:
B
— 30-50 km
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Q. What is the approximate value of gravitational acceleration on Earth? (2022)
-
A.
9.8 m/s²
-
B.
10 m/s²
-
C.
9.81 m/s²
-
D.
9.6 m/s²
Solution
The approximate value of gravitational acceleration on Earth is 9.8 m/s².
Correct Answer:
A
— 9.8 m/s²
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Q. What is the area between the curves y = x^2 and y = 4 from x = -2 to x = 2?
Solution
The area between the curves is given by ∫(from -2 to 2) (4 - x^2) dx = [4x - x^3/3] from -2 to 2 = (8 - (8/3)) - (-8 + (8/3)) = 16 - (16/3) = 32/3.
Correct Answer:
A
— 8
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Q. What is the area of a circle with a circumference of 31.4 cm? (2020)
-
A.
25 cm²
-
B.
50 cm²
-
C.
75 cm²
-
D.
100 cm²
Solution
Circumference = 2πr; 31.4 = 2πr; r = 5 cm; Area = πr² = 25 cm².
Correct Answer:
A
— 25 cm²
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Q. What is the area of a circle with a diameter of 10 cm? (2023)
-
A.
25π cm²
-
B.
50π cm²
-
C.
75π cm²
-
D.
100π cm²
Solution
Radius = diameter/2 = 10/2 = 5 cm. Area = πr² = π(5)² = 25π cm².
Correct Answer:
A
— 25π cm²
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Q. What is the area of a circle with a diameter of 10 units?
-
A.
25π square units
-
B.
50π square units
-
C.
100π square units
-
D.
75π square units
Solution
Area = π * (radius^2) = π * (5^2) = 25π square units.
Correct Answer:
A
— 25π square units
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Q. What is the area of a circle with a diameter of 16 cm? (2023) 2023
-
A.
64π cm²
-
B.
32π cm²
-
C.
16π cm²
-
D.
8π cm²
Solution
Radius = diameter/2 = 16/2 = 8 cm. Area = πr² = π(8)² = 64π cm².
Correct Answer:
A
— 64π cm²
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Q. What is the area of a circle with a diameter of 16 cm? (Use π = 3.14) (2022)
-
A.
201.06 cm²
-
B.
100.48 cm²
-
C.
50.24 cm²
-
D.
25.12 cm²
Solution
Radius = diameter/2 = 16 cm / 2 = 8 cm. Area = πr² = 3.14 * 8² = 201.06 cm².
Correct Answer:
A
— 201.06 cm²
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Q. What is the area of a circle with a radius of 10 m? (2023)
-
A.
314 m²
-
B.
100 m²
-
C.
200 m²
-
D.
150 m²
Solution
Area = πr² = π * 10² = 314 m².
Correct Answer:
A
— 314 m²
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Q. What is the area of a circle with a radius of 10?
-
A.
100π
-
B.
50π
-
C.
25π
-
D.
200π
Solution
The area of a circle is given by A = πr², so A = π(10)² = 100π.
Correct Answer:
A
— 100π
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Q. What is the area of a circle with a radius of 3 cm? (2021)
-
A.
28.26 cm²
-
B.
9.42 cm²
-
C.
12.56 cm²
-
D.
18.84 cm²
Solution
Area = πr² = π * 3² = 28.26 cm².
Correct Answer:
C
— 12.56 cm²
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Q. What is the area of a circle with a radius of 3 cm? (Use π ≈ 3.14)
-
A.
28.26 cm²
-
B.
9.42 cm²
-
C.
18.84 cm²
-
D.
12.56 cm²
Solution
Area = π * radius² = 3.14 * 3² = 3.14 * 9 = 28.26 cm².
Correct Answer:
A
— 28.26 cm²
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Q. What is the area of a circle with a radius of 3 m? (2020)
-
A.
28.26 m²
-
B.
9.42 m²
-
C.
18.84 m²
-
D.
12.56 m²
Solution
Area = πr²; = π * 3² = 28.26 m².
Correct Answer:
A
— 28.26 m²
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Q. What is the area of a circle with a radius of 4 cm? (Use π = 3.14) (2022)
-
A.
50.24 cm²
-
B.
25.12 cm²
-
C.
12.56 cm²
-
D.
31.36 cm²
Solution
Area = πr² = 3.14 * (4)² = 3.14 * 16 = 50.24 cm²
Correct Answer:
A
— 50.24 cm²
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Q. What is the area of a circle with a radius of 7 cm?
-
A.
154 cm²
-
B.
49 cm²
-
C.
28 cm²
-
D.
100 cm²
Solution
The area of a circle is given by A = πr². Thus, A = π(7)² = 49π ≈ 154 cm².
Correct Answer:
A
— 154 cm²
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Q. What is the area of a circle with a radius of 7 cm? (Use π = 22/7) (2019)
-
A.
154 cm²
-
B.
44 cm²
-
C.
77 cm²
-
D.
88 cm²
Solution
Area = πr² = (22/7) × (7)² = (22/7) × 49 = 154 cm².
Correct Answer:
A
— 154 cm²
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Q. What is the area of a circle with a radius of 7 cm? (Use π ≈ 3.14)
-
A.
154 cm²
-
B.
100 cm²
-
C.
44 cm²
-
D.
78.5 cm²
Solution
Area = πr² = 3.14 × (7)² = 3.14 × 49 = 153.86 cm², approximately 154 cm².
Correct Answer:
A
— 154 cm²
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Q. What is the area of a circle with a radius of 7?
-
A.
49π
-
B.
14π
-
C.
21π
-
D.
28π
Solution
The area of a circle is given by A = πr², so A = π(7)² = 49π.
Correct Answer:
A
— 49π
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Q. What is the area of a circle with radius 7? (2022)
-
A.
154
-
B.
144
-
C.
160
-
D.
150
Solution
Area = πr^2 = π(7^2) = 49π ≈ 154.
Correct Answer:
A
— 154
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Q. What is the area of a circle with radius r?
-
A.
πr^2
-
B.
2πr
-
C.
πr
-
D.
r^2
Solution
The area of a circle is given by the formula A = πr^2.
Correct Answer:
A
— πr^2
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Q. What is the area of a quadrilateral with vertices at (0,0), (4,0), (4,3), and (0,3)?
-
A.
12 square units
-
B.
10 square units
-
C.
15 square units
-
D.
20 square units
Solution
The area can be calculated as length × width = 4 × 3 = 12 square units.
Correct Answer:
A
— 12 square units
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Q. What is the area of a rectangle with a length of 8 units and a width of 3 units?
-
A.
24 square units
-
B.
11 square units
-
C.
30 square units
-
D.
20 square units
Solution
The area of a rectangle is given by the formula length * width. Thus, 8 * 3 = 24 square units.
Correct Answer:
A
— 24 square units
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Q. What is the area of a rectangle with length 8 cm and width 3 cm? (2021)
-
A.
24 cm²
-
B.
30 cm²
-
C.
20 cm²
-
D.
18 cm²
Solution
Area = length × width = 8 cm × 3 cm = 24 cm².
Correct Answer:
A
— 24 cm²
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Q. What is the area of a rectangle with vertices at (1, 1), (1, 5), (4, 1), and (4, 5)? (2021)
Solution
Area = length * width = (4-1) * (5-1) = 3 * 4 = 12.
Correct Answer:
A
— 12
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Q. What is the area of a regular pentagon with a side length of 6 units? (2023)
-
A.
15√5
-
B.
30
-
C.
18√5
-
D.
36
Solution
The area of a regular pentagon can be calculated using the formula (1/4)√(5(5 + 2√5)) * s². For s = 6, the area is approximately 15√5.
Correct Answer:
A
— 15√5
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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
Solution
Area of a rhombus = (1/2) × d1 × d2 = (1/2) × 10 × 24 = 120 cm².
Correct Answer:
A
— 120 cm²
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Q. What is the area of a right triangle with legs measuring 6 and 8?
Solution
Area = (1/2) * base * height = (1/2) * 6 * 8 = 24.
Correct Answer:
A
— 24
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Q. What is the area of a sector of a circle with a radius of 4 cm and a central angle of 90 degrees? (2014)
-
A.
6.28 cm²
-
B.
12.56 cm²
-
C.
3.14 cm²
-
D.
9.42 cm²
Solution
Area of sector = (θ/360) * πr²; = (90/360) * π * 4² = 12.56 cm².
Correct Answer:
B
— 12.56 cm²
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