Quiz about Grade 7 Geometry MCA Test Samplers

Question 1

The diameter of the bottom of a sugar cookie is 5 inches. What is the area of the bottom of the cookie? (Use 3.14 for pi)

Accepted Answer

19.6 sq. in.

Answer

7.9 sq. in.

Answer

15.7 sq. in.

Answer

78.5 sq. in.

Question 2

Mr. Jimeno built a circular play area. The diameter of the play area is 10 feet. What is the approximate circumference of the play area? (Use 3.14 for pi)

Accepted Answer

31 ft

Answer

16 ft

Answer

63 ft

Answer

79 ft

Question 3

On the dartboard shown, the diameter of each of the 4 smallest circles is equal to the radius of the center circle. The area of the entire dartboard is how many times the area of 1 of the smallest circles?

DOK III

Accepted Answer

16

Answer

2

Answer

4

Answer

8

Question 4

A candle is shaped like a cylinder. Which expression can be used to calculate the surface area, in square centimeters, of the candle?

Accepted Answer

Question 5

See image.

Accepted Answer

2.5

Answer

0.4

Answer

2.3

Answer

5.8

Question 6

See image.

Accepted Answer

Question 7

The width of a rectangle is 2 inches and its length is 3 inches. The width of a similar rectangle is 1 inch. What is the perimeter of the smaller rectangle?

Accepted Answer

5

Answer

1.5

Answer

2.5

Answer

20

Question 8

Which statement is true?

Accepted Answer

All squares are similar.

Answer

All parallelograms are similar.

Answer

All rectangles are similar.

Answer

All right triangles are similar.

Question 9

See image.

Accepted Answer

3

Answer

1/3

Answer

1/2

Answer

2

Question 10

Which statement about 2 similar triangles is not true?

Accepted Answer

The scale factor for the perimeter is equal to the scale factor for the area.

Answer

Corresponding angles of the triangles are congruent.

Answer

Corresponding heights of the triangles are proportional.

Answer

The scale factor for the sides is equal to the scale factor for the perimeter.

Question 11

See image.

Accepted Answer

2/3

Answer

1/2

Answer

3/2

Answer

2/1

Question 12

Each side of a square is 3 inches long. A student increases the length of each side by 3 inches. The area of the new square is how many times the area of the original square?

Accepted Answer

4

Answer

2

Answer

3

Answer

9

Question 13

See image.

Accepted Answer

1.2 cm

Answer

1.6 cm

Answer

2.4 cm

Answer

2.8 cm

Question 14

See image.

Accepted Answer

24

Answer

12

Answer

48

Answer

72

Question 15

See image

Accepted Answer

20

Answer

21

Answer

24

Answer

34

Question 16

See image.

Accepted Answer

100

Answer

50

Answer

75

Answer

125

Question 17

How does doubling the circumference of a circle affect the area of that circle?

Accepted Answer

The area increases by a factor of 4.

Answer

The area stays the same.

Answer

The area increases by a factor of 2.

Answer

The area increases by a factor of 8.

Question 18

On a map, the scale is 1/2 inch=20 miles. The distance between 2 towns on the map is5 1/2inches. What is the distance between the 2 towns?

Accepted Answer

220

Answer

55

Answer

110

Answer

$$25\ \frac{1}{2}$$

Question 19

Nate is making a scale drawing of a barn. He uses a scale of 2 inches : 15 feet. The height of the actual barn is 60 feet. What is the height of the barn in the scale drawing?

Accepted Answer

8

Answer

4

Answer

22.5

Answer

30

Question 20

Sue wants to construct a scale model bookcase for a dollhouse. The dollhouse is constructed using a scale of 1 to 12. The actual bookcase is 18 inches wide. How wide does Sue need to make the bookcase for the dollhouse?

Accepted Answer

1 1/2

Answer

1/12

Answer

2/3

Answer

2 1/2

Question 21

Dante uses 1/3 cup of juice mix to make 2 quarts of juice. How many cups of juice mix does Dante need to make 2 gallons of juice?

Accepted Answer

4/3

Answer

1/3

Answer

3/4

Answer

16/3

Question 22

Zach needs exactly 2 quarts of water. He only has a 1-cup measuring cup. How many cups of water does he need to equal 2 quarts?

Accepted Answer

8

Answer

4

Answer

16

Answer

20

Question 23

A scale of 1 1/4 inches=14 feetis being used to build a parking lot from a scale drawing. The width of 1 parking place is 7 feet, and there are a total of 71 parking places along one side of the parking lot. How many inches represent the side of the parking lot on the scale drawing?

Accepted Answer

$$44\ \frac{3}{8}$$

Answer

$$35\ \frac{1}{2}$$

Answer

$$177\ \frac{1}{2}$$

Answer

$$397\ \frac{3}{5}$$

Question 24

See image.

Accepted Answer

6.25

Answer

1

Answer

2.5

Answer

7.5

Question 25

The lengths of the edges of a cube are doubled. What effect does this change have on the surface area?

DOK III

Accepted Answer

The surface area is multiplied by 4.

Answer

The surface area is doubled.

Answer

The surface area is multiplied by 8.

Answer

The surface area is multiplied by 24.

Question 26

See image.

Accepted Answer

(x + 3, y - 2)

Answer

(x + 2, y - 3)

Answer

(x - 2, y + 3)

Answer

(x - 3, y +2)

Question 27

See image.

DOK III

Accepted Answer

(1, 5)

Answer

(-1, 7)

Answer

(5, 5)

Answer

(7, -1)

Question 28

See image.

Accepted Answer

Question 29

See image.

Accepted Answer

Question 30

See image.

Accepted Answer

The length of the image is equal to the length of the original.

Answer

The length of the image is 2 units more than the length of the original.

Answer

The length of the image is 2 times the length of the original.

Answer

The length of the image is 4 units more than the length of the original.

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