Test Prep GED Test Exam Practice Questions (P. 3)
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Question #21
Two sides of a triangle measure 6 and 10 inches. If the triangle is a right triangle, which of the following could be the measure, in inches, of the third side?
- A4
- B6
- C8
- D10
- E12
Correct Answer:
C
You can try each combination of sides in the Pythagorean theorem. Only 6, 8, and 10 will work.
+ 8
= 10
36 + 64 = 100,
100 = 100.
C
You can try each combination of sides in the Pythagorean theorem. Only 6, 8, and 10 will work.
+ 8
= 10
36 + 64 = 100,
100 = 100.
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Question #22

Classify the figure containing interior angles 3, 6, 11, and 13.
- Ascalene triangle
- Btrapezoid
- Cparallelogram
- Drectangle
- Esquare
Correct Answer:
B
A four-sided figure with only one pair of parallel sides is a trapezoid.
B
A four-sided figure with only one pair of parallel sides is a trapezoid.
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Question #23
The floor of a walk-in closet measures 7 feet by 4 feet. If the ceiling height is 8 feet, what is the volume in cubic feet of the closet?
- A28
- B56
- C112
- D168
- E224
Correct Answer:
E
A closet is the shape of a rectangular solid. To find the volume, multiply. V = lwh. 7(4)(8) = 224 cubic feet.
E
A closet is the shape of a rectangular solid. To find the volume, multiply. V = lwh. 7(4)(8) = 224 cubic feet.
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Question #24
A rectangle and a triangle have equal areas. The length of the rectangle is 12 inches, and its width is 8 inches. If the base of the triangle is 32 inches, what is the length, in inches, of the altitude drawn to the base?
- A6
- B8
- C9
- D12
- E16
Correct Answer:
A
Area of rectangle = length ֳ— width
12 ֳ— 8 = 96 sq. in.
Area of triangle = 1/2 ֳ— base ֳ— altitude = 1/2 ֳ— 32x = 16x
16x = 96
x = 6 in.
A
Area of rectangle = length ֳ— width
12 ֳ— 8 = 96 sq. in.
Area of triangle = 1/2 ֳ— base ֳ— altitude = 1/2 ֳ— 32x = 16x
16x = 96
x = 6 in.
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Question #25

What is the slope of the line passing through points A (5, 4) and B (0, 3)?
- A1/10
- B1/5
- C3/5
- D4/5
- E5
Correct Answer:
B
Slope = (y1 -
ג€’ y2) / (x1 גˆ’ x2)
In this case y1 = 4, y2 = 3, x1 = 5, x2 = 0,
(4 גˆ’ 3) / (5 גˆ’ 0) = 1/5
B
Slope = (y1 -
ג€’ y2) / (x1 גˆ’ x2)
In this case y1 = 4, y2 = 3, x1 = 5, x2 = 0,
(4 גˆ’ 3) / (5 גˆ’ 0) = 1/5
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Question #26
Which of the following pairs of points both lie on the line whose equation is 3x `’ y = 2?
- A(3, גˆ’2) and (1, 5)
- B(2, 4) and (3, 7)
- C(2, 4) and (1, 5)
- D(2, גˆ’2) and (1, 5)
- E(3, 7) and (3, גˆ’2)
Correct Answer:
B
Test each pair: Only (2, 4) and (3, 7) satisfy the equation.
3(2) גˆ’ 4 = 6 גˆ’ 4 = 2, and
3(3) גˆ’ 7 = 9 גˆ’ 7 = 2.
None of the other pairs work.
B
Test each pair: Only (2, 4) and (3, 7) satisfy the equation.
3(2) גˆ’ 4 = 6 גˆ’ 4 = 2, and
3(3) גˆ’ 7 = 9 גˆ’ 7 = 2.
None of the other pairs work.
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Question #27

To measure the distance (DC) across a pond, a surveyor takes points A and B so that AB is parallel to DC. If AB = 60 feet, EB = 48 feel, and ED = 80 feet, find
DC.
- A72 ft.
- B84 ft.
- C96 ft.
- D100 ft.
- ENot enough information is given.
Correct Answer:
D
Let x = DC.
Since גˆ†ABE is similar to גˆ†CED, the lengths of their corresponding sides are in proportion. x/60 = 80/48
48x = 80(60) = 4,800
x = 4800/48= 100 ft.
D
Let x = DC.
Since גˆ†ABE is similar to גˆ†CED, the lengths of their corresponding sides are in proportion. x/60 = 80/48
48x = 80(60) = 4,800
x = 4800/48= 100 ft.
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Question #28
How many 4-inch by 8-inch bricks are needed to build a walk 6 feet wide and 24 feet long?
- A54
- B600
- C648
- D840
- E1,000
Correct Answer:
C
Width of walk is 6 ft., or 6 ֳ— 12 = 72 in. Width of each brick is 4 in. Number of bricks that can be fitted along the width is 72/4 = 18.
Length of walk is 24 ft., or 24 ֳ— 12 = 288 in. Length of each brick is 8 in. Number of bricks that can be fitted along the length is 288 ֳ· 8 = 36.
18 ֳ— 36 = 648
C
Width of walk is 6 ft., or 6 ֳ— 12 = 72 in. Width of each brick is 4 in. Number of bricks that can be fitted along the width is 72/4 = 18.
Length of walk is 24 ft., or 24 ֳ— 12 = 288 in. Length of each brick is 8 in. Number of bricks that can be fitted along the length is 288 ֳ· 8 = 36.
18 ֳ— 36 = 648
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Question #29

What is the area, in square graph units, of the triangle?
- A8
- B10
- C16
- D32
- E48
Correct Answer:
C
Use the formula for the area of a triangle:
A = 1/2 Base ֳ— Height -
In this case, B = 4 and H = 8 -
Area = 1/2 ֳ— (4 ֳ— 8) = 16 -
C
Use the formula for the area of a triangle:
A = 1/2 Base ֳ— Height -
In this case, B = 4 and H = 8 -
Area = 1/2 ֳ— (4 ֳ— 8) = 16 -
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Question #30
A room is 24 feet long, 18 feet wide, and 9 feet high. How many square yards of wallpaper are needed to paper the four walls of the room?
- A72
- B84
- C96
- D180
- E756
Correct Answer:
B
Area of front wall = 9 ֳ— 24 = 216 sq. ft.
Area of back wall -
9 ֳ— 24 = 216 sq. ft.
Area of side wall = 9 ֳ— 18 = 162 sq. ft.
Area of other side wall = 9 ֳ— 18 = 162 sq. ft.
Total area of walls =216 + 216 + 162 + 162 = 756 sq. ft.
756 ֳ· 9 = 84 sq. yd.
B
Area of front wall = 9 ֳ— 24 = 216 sq. ft.
Area of back wall -
9 ֳ— 24 = 216 sq. ft.
Area of side wall = 9 ֳ— 18 = 162 sq. ft.
Area of other side wall = 9 ֳ— 18 = 162 sq. ft.
Total area of walls =216 + 216 + 162 + 162 = 756 sq. ft.
756 ֳ· 9 = 84 sq. yd.
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