Mathematics (School)

Algebra (Secondary) Arithmetic (Primary) Geometry Statistics & Probability Trigonometry

Q. What is the area of a sector of a circle with a radius of 6 cm and a central angle of 90°?

A. 9π cm²
B. 12π cm²
C. 18π cm²
D. 36π 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 sector with a central angle of 60 degrees in a circle of radius 6 cm?

A. 6π cm²
B. 12π cm²
C. 3π cm²
D. 9π cm²

Solution

Area of sector = (θ/360) * πr² = (60/360) * π(6)² = (1/6) * 36π = 6π cm².

Correct Answer: A — 6π cm²

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Q. What is the area of a sector with a radius of 6 cm and a central angle of 120 degrees?

A. 12π cm²
B. 18π cm²
C. 8π cm²
D. 10π cm²

Solution

Area of sector = (θ/360) * πr² = (120/360) * π(6)² = (1/3) * 36π = 12π cm².

Correct Answer: A — 12π cm²

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Q. What is the area of a sector with a radius of 6 cm and a central angle of 60 degrees?

A. 12π cm²
B. 6π cm²
C. 3π cm²
D. 9π cm²

Solution

Area of sector = (θ/360) * πr² = (60/360) * π(6)² = 12π cm².

Correct Answer: A — 12π cm²

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Q. What is the area of a square with a side length of 4 cm?

A. 8 cm²
B. 12 cm²
C. 16 cm²
D. 20 cm²

Solution

Area = side² = 4 cm × 4 cm = 16 cm².

Correct Answer: C — 16 cm²

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Q. What is the area of a square with a side length of 5 cm?

A. 20 cm²
B. 25 cm²
C. 30 cm²
D. 15 cm²

Solution

Area = side² = 5² = 25 cm².

Correct Answer: B — 25 cm²

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Q. What is the area of a square with a side length of 6 cm?

A. 24 cm²
B. 30 cm²
C. 36 cm²
D. 42 cm²

Solution

Area = side × side = 6 cm × 6 cm = 36 cm².

Correct Answer: C — 36 cm²

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Q. What is the area of a square with a side length of 7 cm?

A. 49 cm²
B. 56 cm²
C. 42 cm²
D. 36 cm²

Solution

Area = side² = 7² = 49 cm².

Correct Answer: A — 49 cm²

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Q. What is the area of a square with a side length of 7 units?

A. 14
B. 28
C. 49
D. 56

Solution

The area of a square is given by the formula: A = side². Here, A = 7² = 49.

Correct Answer: C — 49

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Q. What is the area of a square with a side length of 9 cm?

A. 81 cm²
B. 72 cm²
C. 90 cm²
D. 45 cm²

Solution

Area = side² = 9 cm × 9 cm = 81 cm².

Correct Answer: A — 81 cm²

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Q. What is the area of a square with vertices at (1, 1), (1, 5), (5, 1), and (5, 5)?

A. 16
B. 20
C. 24
D. 25

Solution

The area of a square is given by Area = side². The side length is 5 - 1 = 4, so Area = 4² = 16.

Correct Answer: D — 25

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Q. What is the area of a trapezoid with bases of 10 cm and 6 cm, and a height of 4 cm?

A. 32 cm²
B. 40 cm²
C. 24 cm²
D. 28 cm²

Solution

Area = 1/2 * (base1 + base2) * height = 1/2 * (10 + 6) * 4 = 32 cm².

Correct Answer: A — 32 cm²

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Q. What is the area of a trapezoid with bases of 10 cm and 6 cm, and a height of 5 cm?

A. 40 cm²
B. 30 cm²
C. 20 cm²
D. 50 cm²

Solution

Area = 1/2 × (base1 + base2) × height = 1/2 × (10 cm + 6 cm) × 5 cm = 40 cm².

Correct Answer: A — 40 cm²

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Q. What is the area of a trapezoid with bases of 6 m and 10 m, and a height of 4 m?

A. 32 m²
B. 24 m²
C. 40 m²
D. 28 m²

Solution

Area = 1/2 * (base1 + base2) * height = 1/2 * (6 + 10) * 4 = 32 m².

Correct Answer: B — 24 m²

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Q. What is the area of a trapezoid with bases of 6 units and 10 units, and a height of 4 units?

A. 32 square units
B. 40 square units
C. 48 square units
D. 56 square units

Solution

The area of a trapezoid is calculated using the formula (1/2) * (base1 + base2) * height. Thus, the area = (1/2) * (6 + 10) * 4 = 32 square units.

Correct Answer: A — 32 square units

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Q. What is the area of a trapezoid with bases of 8 cm and 5 cm, and a height of 4 cm?

A. 26 cm²
B. 30 cm²
C. 20 cm²
D. 24 cm²

Solution

Area = 1/2 × (base1 + base2) × height = 1/2 × (8 cm + 5 cm) × 4 cm = 26 cm².

Correct Answer: A — 26 cm²

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Q. What is the area of a trapezoid with bases of lengths 10 and 6 units and a height of 4 units?

A. 32
B. 40
C. 48
D. 52

Solution

The area A of a trapezoid is given by A = 0.5 * (base1 + base2) * height. Here, A = 0.5 * (10 + 6) * 4 = 0.5 * 16 * 4 = 32.

Correct Answer: A — 32

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Q. What is the area of a trapezoid with bases of lengths 5 and 7 units and a height of 4 units?

A. 24
B. 28
C. 20
D. 32

Solution

The area A of a trapezoid is given by the formula: A = 0.5 * (base1 + base2) * height. Here, A = 0.5 * (5 + 7) * 4 = 0.5 * 12 * 4 = 24.

Correct Answer: A — 24

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Q. What is the area of a trapezoid with bases of lengths 5 and 7, and a height of 4?

A. 24
B. 28
C. 32
D. 36

Solution

Area = 1/2 * (base1 + base2) * height = 1/2 * (5 + 7) * 4 = 24.

Correct Answer: A — 24

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Q. What is the area of a trapezoid with bases of lengths 6 and 10 units and a height of 5 units?

A. 30
B. 40
C. 50
D. 60

Solution

The area of a trapezoid is given by the formula: A = 0.5 * (base1 + base2) * height. Here, A = 0.5 * (6 + 10) * 5 = 0.5 * 16 * 5 = 40.

Correct Answer: A — 30

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Q. What is the area of a trapezoid with bases of lengths 6 and 10 units and a height of 4 units?

A. 32
B. 40
C. 24
D. 28

Solution

The area of a trapezoid is given by the formula: Area = 0.5 * (base1 + base2) * height. Here, Area = 0.5 * (6 + 10) * 4 = 0.5 * 16 * 4 = 32.

Correct Answer: A — 32

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Q. What is the area of a trapezoid with bases of lengths 6 and 10, and a height of 4?

A. 32
B. 40
C. 48
D. 56

Solution

The area of a trapezoid is given by the formula: A = 0.5 * (base1 + base2) * height. Here, A = 0.5 * (6 + 10) * 4 = 0.5 * 16 * 4 = 32.

Correct Answer: A — 32

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Q. What is the area of a trapezoid with bases of lengths 8 and 5 units and a height of 4 units?

A. 26
B. 30
C. 20
D. 24

Solution

The area of a trapezoid is given by A = 0.5 * (base1 + base2) * height. Here, A = 0.5 * (8 + 5) * 4 = 0.5 * 13 * 4 = 26.

Correct Answer: A — 26

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Q. What is the area of a triangle with a base of 10 and a height of 5?

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

Solution

Area = 0.5 * base * height = 0.5 * 10 * 5 = 25.

Correct Answer: A — 25

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Q. What is the area of a triangle with a base of 10 cm and a height of 6 cm?

A. 30 cm²
B. 60 cm²
C. 20 cm²
D. 40 cm²

Solution

Area = 1/2 × base × height = 1/2 × 10 cm × 6 cm = 30 cm².

Correct Answer: A — 30 cm²

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Q. What is the area of a triangle with a base of 4 units and a height of 3 units?

A. 6 square units
B. 12 square units
C. 8 square units
D. 10 square units

Solution

The area A of a triangle is given by A = 1/2 * base * height. Here, A = 1/2 * 4 * 3 = 6 square units.

Correct Answer: A — 6 square units

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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

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 and a height of 5?

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

Solution

Area = 0.5 * base * height = 0.5 * 8 * 5 = 20.

Correct Answer: A — 20

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Q. What is the area of a triangle with a base of 8 units and a height of 5 units?

A. 20
B. 30
C. 40
D. 10

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 area of a triangle with vertices at (0, 0), (4, 0), and (4, 3)?

A. 6
B. 12
C. 8
D. 10

Solution

Area = 0.5 * base * height = 0.5 * 4 * 3 = 6.

Correct Answer: B — 12

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