Free Printable 8.3 Similarity Ratio Review / 8.4 Intro Circles

1.

What is the exact area of this circle?

a)

$6\pi\ cm^2$

b)

$144\pi\ cm^2$

c)

$12\pi\ cm^2$

d)

$36\pi\ cm^2$

2.

JR's dining room table is round and has a radius of 4.5 feet. What is the tabletop's approximate area?

a)

63.617 ft²

b)

254.469 ft²

c)

14.137 ft²

d)

28.274 ft²

3.

What is the circumference of a circle with a radius of 5" in exact form ?

a)

5π square units

b)

10π square units

c)

25π square units

d)

50π square units

4.

What is the approximate circumference of a circle with diameter length 15 cm?

a)

47.124 cm

b)

23.262 cm

c)

176.715 cm

d)

706.858

5.

Two similar figures have side ratio 2:5. What is the ratio of their perimeters?

a)

2:5

b)

5:2

c)

4:25

d)

4:10

6.

Two similar figures have a side ratio of 4:7. What is the ratio of their areas?

a)

4:7

b)

7:4

c)

16:49

d)

8:14

7.

Two similar parallelograms have a side ratio of 5:8. The area of the larger parallelogram is 126 square feet. Which of the following is the correct proportion to find the area of the smaller prism?

a)

$\frac{5}{8}=\frac{126}{x}$

b)

$\frac{5}{8}=\frac{x}{126}$

c)

$\frac{25}{64}=\frac{126}{x}$

d)

$\frac{25}{64}=\frac{x}{126}$

8.

The area of a circle is $25\pi\ u^2$ . What is the length of the diameter?

a)

5 u

b)

10 u

c)

$5\pi\$ u

d)

$10\pi$ u

9.

The circumference of a circle is $42\pi"$ . What is the length of the radius

a)

6.68"

b)

42"

c)

21"

d)

13.37"

10.

A certain figure is enlarged so that the sides are nine times longer. If the area of the small figure is 14 square inches, what is the area of the larger figure?

a)

126 square inches

b)

1134 square inches

c)

the area can not be determined

d)

196 square inches

11.

Two triangles are similar. The height of one of the triangles is 14” and the height of the other triangle is 28”. If the perimeter of the smaller triangle is 42”, what is the perimeter of the larger triangle?

a)

Not enough information

b)

42"

c)

168"

d)

84"

12.

Two polygons are similar. The ratio of their perimeters is $\frac{3}{4}$ , what is the ratio of their sides?

a)

$\frac{3}{4}$

b)

$\frac{6}{9}$

c)

$\frac{9}{16}$

d)

can not be determined

13.

Figures X and Y are similar. If the area of figure Y is 86 square inches, what is the area of figure X?

a)

38.22 square inches

b)

129 square inches

c)

7396 square inches

d)

193.5 square inches

14.

If two similar pentagons have side ratio 7:8, what is the linear scale factor of the pentagons?

a)

0.766

b)

0.875

c)

.78

d)

1.5

15.

What is the area of the figure?

a)

452.39 square inches

b)

226.195 square inches

c)

75.398 square inches

d)

37.699 square inches

e)

18.85 square inches

16.

Simplify:
$\left(5x^3\right)\left(2x^2\right)$

a)

7x⁵

b)

3x

c)

10x⁶

d)

10x⁵

17.

Evaluate using the quotient rule:
$\frac{a^5b^{10}}{a^3b^3}$

a)

$a^8b^{13}$

b)

$a^{1.6}b^{3.3}$

c)

$a^2b^7$

d)

$\frac{a^2}{b^7}$

18.

Simplify: (2x³y⁵)³

a)

8x⁹y¹⁵

b)

6x⁹y¹⁵

c)

2x⁹y¹⁵

d)

8x⁶y⁸

8.3 Similarity Ratio Review / 8.4 Intro Circles

Total questions: 18

Worksheet time: 43mins

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