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 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 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 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? (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 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 sector of a circle with radius 10 cm and angle 90 degrees? (2022)
-
A.
25π cm²
-
B.
50π cm²
-
C.
100π cm²
-
D.
75π cm²
Solution
Area of sector = (θ/360) × πr² = (90/360) × π × 10² = (1/4) × 100π = 25π cm².
Correct Answer:
A
— 25π cm²
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Q. What is the area of a sector of a circle with radius 6 cm and a central angle of 90 degrees? (2023)
-
A.
9π cm²
-
B.
12π cm²
-
C.
18π cm²
-
D.
6π cm²
Solution
Area of sector = (θ/360) × πr² = (90/360) × π × 6² = (1/4) × 36π = 9π cm².
Correct Answer:
A
— 9π cm²
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Q. What is the area of a sector of a circle with radius 6 cm and angle 90 degrees? (2021)
-
A.
9π cm²
-
B.
12π cm²
-
C.
18π cm²
-
D.
6π cm²
Solution
Area of sector = (θ/360) × πr² = (90/360) × π(6)² = (1/4) × 36π = 9π cm².
Correct Answer:
A
— 9π cm²
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Q. What is the area of a square with a side length of 8 cm? (2023)
-
A.
64 cm²
-
B.
32 cm²
-
C.
16 cm²
-
D.
48 cm²
Solution
Area = side² = 8² = 64 cm²
Correct Answer:
A
— 64 cm²
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Q. What is the area of a trapezium with bases 5 cm and 7 cm, and height 4 cm? (2023)
-
A.
24 cm²
-
B.
20 cm²
-
C.
30 cm²
-
D.
28 cm²
Solution
Area = 1/2 * (base1 + base2) * height = 1/2 * (5 + 7) * 4 = 24 cm²
Correct Answer:
A
— 24 cm²
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Q. What is the area of a triangle with a base of 10 units and a height of 5 units?
-
A.
25 square units
-
B.
50 square units
-
C.
15 square units
-
D.
30 square units
Solution
Area = 1/2 * base * height = 1/2 * 10 * 5 = 25 square units.
Correct Answer:
A
— 25 square units
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Q. What is the area of a triangle with a base of 12 cm and a height of 5 cm? (2022)
-
A.
30 cm²
-
B.
60 cm²
-
C.
24 cm²
-
D.
36 cm²
Solution
Area = 1/2 * base * height = 1/2 * 12 * 5 = 30 cm².
Correct Answer:
A
— 30 cm²
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Q. What is the area of a triangle with a base of 6 cm and a height of 4 cm?
-
A.
12 cm²
-
B.
24 cm²
-
C.
18 cm²
-
D.
30 cm²
Solution
Area = 1/2 × base × height = 1/2 × 6 cm × 4 cm = 12 cm².
Correct Answer:
A
— 12 cm²
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Q. What is the area of a triangle with a base of 8 cm and a height of 5 cm? (2020)
-
A.
20 cm²
-
B.
30 cm²
-
C.
40 cm²
-
D.
10 cm²
Solution
The area of a triangle is given by A = 1/2 * base * height. Here, A = 1/2 * 8 * 5 = 20 cm².
Correct Answer:
A
— 20 cm²
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Q. What is the area of an equilateral triangle with a side length of 6 cm? (2022)
-
A.
9√3 cm²
-
B.
12√3 cm²
-
C.
18√3 cm²
-
D.
24√3 cm²
Solution
Area = (√3/4) * side² = (√3/4) * 6² = (√3/4) * 36 = 9√3 cm².
Correct Answer:
A
— 9√3 cm²
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Q. What is the area under the curve y = 1/x from x = 1 to x = 4?
-
A.
ln(4)
-
B.
ln(3)
-
C.
ln(2)
-
D.
ln(1)
Solution
The area under the curve is given by ∫(from 1 to 4) (1/x) dx = [ln(x)] from 1 to 4 = ln(4) - ln(1) = ln(4).
Correct Answer:
A
— ln(4)
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Q. What is the area under the curve y = 2x^2 + 3 from x = 0 to x = 2?
Solution
The area under the curve is given by ∫(from 0 to 2) (2x^2 + 3) dx = [(2/3)x^3 + 3x] from 0 to 2 = (16/3 + 6) = 10.
Correct Answer:
B
— 12
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Q. What is the average atmospheric pressure at sea level in hPa?
-
A.
1013.25 hPa
-
B.
1000 hPa
-
C.
1020 hPa
-
D.
980 hPa
Solution
The average atmospheric pressure at sea level is approximately 1013.25 hPa.
Correct Answer:
A
— 1013.25 hPa
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Q. What is the average atmospheric pressure at sea level in millibars? (2021)
-
A.
1013.25 mb
-
B.
1000 mb
-
C.
1020 mb
-
D.
980 mb
Solution
The average atmospheric pressure at sea level is defined as 1013.25 millibars.
Correct Answer:
A
— 1013.25 mb
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Q. What is the average density of the Earth? (2020)
-
A.
2.5 g/cm³
-
B.
5.5 g/cm³
-
C.
7.5 g/cm³
-
D.
9.5 g/cm³
Solution
The average density of the Earth is about 5.5 g/cm³, which is higher than the density of the crust.
Correct Answer:
B
— 5.5 g/cm³
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Q. What is the average temperature of a location if the maximum temperature recorded is 30°C and the minimum is 20°C? (2021)
-
A.
25°C
-
B.
20°C
-
C.
30°C
-
D.
15°C
Solution
Average temperature = (Maximum + Minimum) / 2 = (30 + 20) / 2 = 25°C.
Correct Answer:
A
— 25°C
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Q. What is the average temperature of the Earth in degrees Celsius?
-
A.
15°C
-
B.
20°C
-
C.
25°C
-
D.
30°C
Solution
The average temperature of the Earth is approximately 15°C.
Correct Answer:
A
— 15°C
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Q. What is the axis of symmetry for the parabola given by the equation y = -3(x - 2)^2 + 5?
-
A.
x = 2
-
B.
y = 5
-
C.
y = -3
-
D.
x = -2
Solution
The axis of symmetry for a parabola in vertex form y = a(x - h)^2 + k is x = h. Here, h = 2.
Correct Answer:
A
— x = 2
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Q. What is the axis of symmetry for the parabola given by the equation y^2 = 6x?
-
A.
x-axis
-
B.
y-axis
-
C.
y = x
-
D.
x = 0
Solution
The axis of symmetry for the parabola y^2 = 4px is the x-axis.
Correct Answer:
B
— y-axis
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Q. What is the balanced equation for the combustion of propane (C3H8)? (2021)
-
A.
C3H8 + 5O2 → 3CO2 + 4H2O
-
B.
C3H8 + 4O2 → 3CO2 + 2H2O
-
C.
C3H8 + 3O2 → 3CO + 4H2O
-
D.
C3H8 + 2O2 → 3CO2 + 2H2O
Solution
The balanced equation for the combustion of propane is C3H8 + 5O2 → 3CO2 + 4H2O.
Correct Answer:
A
— C3H8 + 5O2 → 3CO2 + 4H2O
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Q. What is the caloric value of one gram of fat?
-
A.
4 calories
-
B.
7 calories
-
C.
9 calories
-
D.
12 calories
Solution
One gram of fat provides approximately 9 calories, making it the most energy-dense macronutrient.
Correct Answer:
C
— 9 calories
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