Mathematics (School)

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

Q. What is the median of the following data set: 7, 3, 5, 9, 1?

A. 5
B. 6
C. 7
D. 4

Solution

Sorted data: 1, 3, 5, 7, 9. Median = 5.

Correct Answer: A — 5

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Q. What is the midpoint of the line segment connecting the points (2, 3) and (4, 7)?

A. (3, 5)
B. (2, 5)
C. (4, 5)
D. (3, 4)

Solution

Midpoint = ((2+4)/2, (3+7)/2) = (3, 5).

Correct Answer: A — (3, 5)

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Q. What is the midpoint of the line segment connecting the points (2, 3) and (8, 7)?

A. (5, 5)
B. (4, 5)
C. (6, 4)
D. (7, 3)

Solution

Midpoint formula: M = ((x1 + x2)/2, (y1 + y2)/2) = ((2 + 8)/2, (3 + 7)/2) = (5, 5).

Correct Answer: A — (5, 5)

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Q. What is the midpoint of the line segment joining points (4, 2) and (10, 6)?

A. (7, 4)
B. (6, 4)
C. (5, 4)
D. (8, 3)

Solution

Midpoint M = ((4 + 10)/2, (2 + 6)/2) = (7, 4).

Correct Answer: A — (7, 4)

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Q. What is the midpoint of the line segment joining the points (10, 10) and (20, 20)?

A. (15, 15)
B. (10, 10)
C. (20, 20)
D. (25, 25)

Solution

Using the midpoint formula: M = ((10 + 20)/2, (10 + 20)/2) = (15, 15).

Correct Answer: A — (15, 15)

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Q. What is the midpoint of the line segment joining the points (2, 3) and (8, 7)?

A. (5, 5)
B. (4, 5)
C. (6, 4)
D. (7, 3)

Solution

Using the midpoint formula: M = ((x1 + x2)/2, (y1 + y2)/2) = ((2 + 8)/2, (3 + 7)/2) = (5, 5).

Correct Answer: A — (5, 5)

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Q. What is the midpoint of the line segment joining the points (4, 5) and (10, 15)?

A. (7, 10)
B. (6, 10)
C. (8, 10)
D. (9, 10)

Solution

Midpoint = ((4 + 10)/2, (5 + 15)/2) = (7, 10).

Correct Answer: A — (7, 10)

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Q. What is the midpoint of the line segment joining the points (5, 7) and (9, 3)?

A. (7, 5)
B. (6, 5)
C. (7, 4)
D. (8, 5)

Solution

Midpoint M = ((5 + 9)/2, (7 + 3)/2) = (7, 5).

Correct Answer: A — (7, 5)

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Q. What is the midpoint of the line segment joining the points (6, 8) and (10, 12)?

A. (8, 10)
B. (7, 9)
C. (9, 10)
D. (6, 12)

Solution

Using the midpoint formula: M = ((6 + 10)/2, (8 + 12)/2) = (8, 10).

Correct Answer: A — (8, 10)

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Q. What is the mode of the data set: 2, 3, 4, 4, 5, 5, 5, 6?

A. 2
B. 4
C. 5
D. 6

Solution

The mode is the value that appears most frequently, which is 5.

Correct Answer: C — 5

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Q. What is the mode of the data set: 5, 5, 6, 7, 8, 8, 8?

A. 5
B. 6
C. 7
D. 8

Solution

The mode is 8, as it appears most frequently.

Correct Answer: D — 8

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Q. What is the mode of the following set of numbers: 1, 2, 2, 3, 4, 4, 4, 5?

A. 2
B. 3
C. 4
D. 5

Solution

The mode is 4, as it appears most frequently (three times).

Correct Answer: C — 4

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Q. What is the next multiple of 3 after 6?

A. 7
B. 8
C. 9
D. 10

Solution

The next multiple of 3 after 6 is 9.

Correct Answer: C — 9

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Q. What is the next multiple of 5 after 15?

A. 20
B. 25
C. 30
D. 35

Solution

The next multiple of 5 after 15 is 20.

Correct Answer: A — 20

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Q. What is the perimeter of a circle with a radius of 10 cm?

A. 31.4 cm
B. 62.8 cm
C. 20 cm
D. 15.7 cm

Solution

Perimeter (Circumference) = 2πr = 2π(10) = 20π ≈ 62.8 cm.

Correct Answer: B — 62.8 cm

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Q. What is the perimeter of a circle with a radius of 3 cm?

A. 18.84 cm
B. 9.42 cm
C. 12.56 cm
D. 6.28 cm

Solution

Perimeter (Circumference) = 2πr = 2π(3) = 6π ≈ 18.84 cm.

Correct Answer: A — 18.84 cm

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Q. What is the perimeter of a quadrilateral with vertices at (0, 0), (0, 3), (4, 3), and (4, 0)?

A. 10
B. 12
C. 14
D. 16

Solution

Perimeter = 2 * (length + width) = 2 * (4 + 3) = 2 * 7 = 14.

Correct Answer: B — 12

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Q. What is the perimeter of a quadrilateral with vertices at (1, 1), (1, 4), (5, 4), and (5, 1)?

A. 12
B. 14
C. 16
D. 18

Solution

Perimeter = 2 * (length + width) = 2 * (4 - 1 + 5 - 1) = 2 * (3 + 4) = 14.

Correct Answer: A — 12

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Q. What is the perimeter of a rectangle with a length of 10 cm and a width of 5 cm?

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

Solution

Perimeter = 2(length + width) = 2(10 + 5) = 30 cm.

Correct Answer: A — 30 cm

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Q. What is the perimeter of a rectangle with a length of 7 cm and a width of 2 cm?

A. 14 cm
B. 16 cm
C. 18 cm
D. 20 cm

Solution

Perimeter = 2 × (length + width) = 2 × (7 cm + 2 cm) = 18 cm.

Correct Answer: B — 16 cm

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Q. What is the perimeter of a rectangle with a length of 8 cm and a width of 3 cm?

A. 22 cm
B. 24 cm
C. 20 cm
D. 26 cm

Solution

Perimeter = 2(length + width) = 2(8 + 3) = 22 cm.

Correct Answer: A — 22 cm

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Q. What is the perimeter of a rectangle with length 10 and width 4?

A. 28
B. 40
C. 24
D. 20

Solution

Perimeter P = 2(length + width) = 2(10 + 4) = 2(14) = 28.

Correct Answer: A — 28

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Q. What is the perimeter of a rectangle with length 10 and width 5?

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

Solution

Perimeter (P) = 2(length + width) = 2(10 + 5) = 2 * 15 = 30.

Correct Answer: A — 30

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Q. What is the perimeter of a rectangle with length 10 units and width 4 units?

A. 28 units
B. 40 units
C. 20 units
D. 24 units

Solution

The perimeter P of a rectangle is given by P = 2(length + width). Here, P = 2(10 + 4) = 2(14) = 28 units.

Correct Answer: A — 28 units

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Q. What is the perimeter of a rectangle with length 12 cm and width 5 cm?

A. 34 cm
B. 30 cm
C. 24 cm
D. 40 cm

Solution

Perimeter = 2(length + width) = 2(12 cm + 5 cm) = 34 cm.

Correct Answer: A — 34 cm

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Q. What is the perimeter of a rectangle with length 4 and width 3?

A. 14
B. 12
C. 10
D. 16

Solution

Perimeter = 2(length + width) = 2(4 + 3) = 2 * 7 = 14.

Correct Answer: B — 12

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Q. What is the perimeter of a rectangle with length 5 units and width 3 units?

A. 15 units
B. 20 units
C. 8 units
D. 10 units

Solution

The perimeter P of a rectangle is given by P = 2(length + width). Here, P = 2(5 + 3) = 2(8) = 16 units.

Correct Answer: A — 15 units

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Q. What is the perimeter of a rectangle with length 7 cm and width 2 cm?

A. 18 cm
B. 14 cm
C. 16 cm
D. 20 cm

Solution

Perimeter = 2 × (length + width) = 2 × (7 cm + 2 cm) = 18 cm.

Correct Answer: A — 18 cm

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Q. What is the perimeter of a rectangle with length 8 cm and width 3 cm?

A. 22 cm
B. 24 cm
C. 20 cm
D. 18 cm

Solution

Perimeter = 2(length + width) = 2(8 + 3) = 2 * 11 = 22 cm.

Correct Answer: A — 22 cm

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Q. What is the perimeter of a regular hexagon with a side length of 3?

A. 12
B. 15
C. 18
D. 21

Solution

Perimeter = 6 * side length = 6 * 3 = 18.

Correct Answer: C — 18

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