CLASS 9

Q. A 1 kg object is moving with a velocity of 10 m/s. What is its momentum?

A. 5 kg·m/s
B. 10 kg·m/s
C. 15 kg·m/s
D. 20 kg·m/s

Solution

Momentum = mass × velocity = 1 kg × 10 m/s = 10 kg·m/s.

Correct Answer: B — 10 kg·m/s

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Q. A 2 kg block is at rest on a horizontal surface. What is the normal force acting on it?

A. 0 N
B. 2 N
C. 20 N
D. 200 N

Solution

Normal force = weight of the block = mass × g = 2 kg × 10 m/s² = 20 N.

Correct Answer: C — 20 N

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Q. A 4 kg object is dropped from a height. What is its velocity just before it hits the ground (neglect air resistance) if it falls for 3 seconds?

A. 10 m/s
B. 20 m/s
C. 30 m/s
D. 40 m/s

Solution

Velocity = g × t = 10 m/s² × 3 s = 30 m/s.

Correct Answer: B — 20 m/s

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Q. A 5 kg object is subjected to a net force of 15 N. What is its acceleration?

A. 2 m/s²
B. 3 m/s²
C. 4 m/s²
D. 5 m/s²

Solution

Using F = ma, acceleration a = F/m = 15 N / 5 kg = 3 m/s².

Correct Answer: B — 3 m/s²

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Q. A certain variety of rice produces 2.5 tons per hectare. If a farmer has 10 hectares, how much rice will he produce?

A. 20 tons
B. 25 tons
C. 15 tons
D. 10 tons

Solution

Total production = Yield per hectare * Number of hectares = 2.5 * 10 = 25 tons.

Correct Answer: B — 25 tons

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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 farmer has a field that produces 300 kg of wheat per acre. If he has 8 acres, how much wheat does he produce in total?

A. 2400 kg
B. 3000 kg
C. 2800 kg
D. 3200 kg

Solution

Total wheat produced = Yield per acre * Number of acres = 300 * 8 = 2400 kg.

Correct Answer: A — 2400 kg

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Q. A farmer uses 40% of his land for vegetables and the rest for grains. If his total land is 50 acres, how many acres does he use for grains?

A. 30 acres
B. 20 acres
C. 25 acres
D. 15 acres

Solution

Land for grains = Total land - Land for vegetables = 50 - (0.4 * 50) = 50 - 20 = 30 acres.

Correct Answer: A — 30 acres

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Q. A farmer uses 50 kg of seeds to plant 1 hectare. If he wants to plant 5 hectares, how many kg of seeds does he need?

A. 250 kg
B. 200 kg
C. 300 kg
D. 150 kg

Solution

Total seeds needed = Seeds per hectare * Number of hectares = 50 * 5 = 250 kg.

Correct Answer: A — 250 kg

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Q. A force of 10 N is applied to an object of mass 2 kg. What is the acceleration of the object?

A. 2 m/s²
B. 5 m/s²
C. 10 m/s²
D. 20 m/s²

Solution

Using Newton's second law, F = ma, we have a = F/m = 10 N / 2 kg = 5 m/s².

Correct Answer: B — 5 m/s²

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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 new irrigation system increases crop yield by 30%. If the original yield was 600 kg, what is the new yield?

A. 780 kg
B. 600 kg
C. 700 kg
D. 900 kg

Solution

New yield = Original yield + (30% of Original yield) = 600 + (0.3 * 600) = 600 + 180 = 780 kg.

Correct Answer: A — 780 kg

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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 train travels 60 km in 1 hour. How far will it travel in 2.5 hours?

A. 120 km
B. 150 km
C. 180 km
D. 200 km

Solution

Distance = speed * time = 60 km/h * 2.5 h = 150 km.

Correct Answer: B — 150 km

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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. An object is moving in a circular path of radius 10 m with a constant speed of 5 m/s. What is the centripetal acceleration?

A. 0.5 m/s²
B. 2.5 m/s²
C. 5 m/s²
D. 25 m/s²

Solution

Centripetal acceleration = v²/r = (5 m/s)² / 10 m = 2.5 m/s².

Correct Answer: B — 2.5 m/s²

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Showing 1 to 30 of 225 (8 Pages)

CLASS 9

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