Free Printable Spring ACP Cumulative Review 21-22

1.

The sides of a regular hexagon are 12 centimeters and the apothem is 10.4 centimeters. What is the approximate area of the hexagon? (G.11A)

a)

$62.4\ cm^2$

b)

$124.8\ cm^2$

c)

$374.4\ cm^2$

d)

$748.8\ cm^2$

2.

Joseph has a standard deck of playing cards. What is the probability that Alexa will draw a jack and then a queen with replacement?

a)

$\frac{4}{663}$

b)

$\frac{1}{169}$

c)

$\frac{1}{121}$

d)

$\frac{3}{52}$

3.

Leila is wrapping a gift shaped like a triangular prism. What is the least amount of wrapping paper Leila needs to wrap the gift, in square centimeters?

(a)

4.

Pentagon ABCDE is similar to pentagon JKLMN. Based on this information, which statement is true?

a)

$\frac{BA}{KJ}=\frac{DC}{ML}$

b)

$\frac{AE}{JN}=\frac{CD}{KL}$

c)

$\frac{BC}{DE}=\frac{JK}{LM}$

d)

$\frac{AB}{DE}=\frac{MN}{JK}$

5.

Sally has a hexagonal prism with a volume of $6,810\ in^3$ . If she reduces the size of a hexagonal prism by a scale factor of $\frac{1}{2}$ , which statement about Sally's new prism is true?

a)

The volume of the new prism is $\frac{1}{2}$ the volume of the original prism.

b)

The volume of the new prism is $\frac{1}{4}$ the volume of the original prism.

c)

The volume of the new prism is $\frac{1}{6}$ the volume of the original prism.

d)

The volume of the new prism is $\frac{1}{8}$ the volume of the original prism.

6.

Triangle ABC was translated using the rule $\left(x,\ y\right)\rightarrow\left(x-3,\ y+2\right)$ and then reflected across the line $y\ =\ x$ to produce $\Delta A''B''C''$ . Which graph represents $\Delta ABC$ ?

a)

b)

c)

d)

7.

A composite figure is shown. Based on the information in the diagram, what is the approximate total area of the composite figure?

a)

$102.2\ cm^2$

b)

$112.0\ cm^2$

c)

$131.7\ cm^2$

d)

$170.9\ cm^2$

8.

Triangle JKL is shown. Based on the information in the diagram, what is the length of $\overline{KL}$ ?

a)

6 inches

b)

9 inches

c)

15 inches

d)

20 inches

9.

$\overline{VW}$ is tangent to circle O at point W. Based on the information in the diagram, what is the length of $\overline{TU}$ ?

a)

3

b)

4

c)

5

d)

7

10.

A section of a large insulated hot water pipe is shown. This section is a 24-inch long cylinder with a diameter of 18 inches. The lateral surface is coated with foam that is 2 inches thick. What is the approximate volume of the foam insulation?

a)

$1,460\ in^3$

b)

$3,016\ in^3$

c)

$3,780\ in^3$

d)

$9,123\ in^3$

11.

Triangle PGA is shown. Based on the information in the diagram, what is the approximate measure of $\angle PGA$ ?

a)

$28.5\degree$

b)

$32.9\degree$

c)

$57.1\degree$

d)

$61.5\degree$

12.

In the figure, $\overline{KL}\parallel\overline{MJ}\ and\ \overline{JK}\parallel\overline{LM}$ . If $m\angle NML=52\degree$ , what is the measure of $\angle JNM$ ?

a)

$38\degree$

b)

$52\degree$

c)

$76\degree$

d)

$90\degree$

13.

Triangle JKL is shown. Based on the information in the diagram, which equation is used to calculate the length of $\overline{KL}$

a)

$\sin\left(54\degree\right)=\frac{x}{17}$

b)

$\cos\left(36\degree\right)=\frac{x}{17}$

c)

$\tan\left(54\degree\right)=\frac{x}{15}$

d)

$\tan\left(36\degree\right)=\frac{x}{15}$

14.

Triangle JKL is shown. Based on the information in the diagram, what is the length of $\overline{KL}$ ?

a)

$8$

b)

$12$

c)

$12\sqrt[]{3}$

d)

$8\sqrt[]{3}$

15.

A pizza was cut into 8 equal slices. Rachel ate 5 slices. If the diameter of the pizza was 16 inches, what was the approximate area of the pizza that Rachel ate?

a)

25.1 square inches

b)

125.7 square inches

c)

201.1 square inches

d)

502.7 square inches

16.

In circle $Q,\ arc\ AB$ measures $50\degree,\ \overline{AD}$ and $\overline{BE}$ are diameters, and $\angle EQF\cong\angle QEF$ . Based on this information, what is the measure of $arc\ DC$ , in degrees?

(a)

17.

In circle $W,\ m\angle JNK=67\degree$ and $arc\ KL\ =\ 104\degree$ . Based on this information, what is the measure of $arc\ JM$ ?

a)

$86\degree$

b)

$113\degree$

c)

$122\degree$

d)

$226\degree$

18.

In square ABCD, AC = 26 feet. Based on this information, what is the perimeter of square ABCD?

a)

$104\ \sqrt[]{2}$

b)

$104$

c)

$52\ \sqrt[]{2}$

d)

$52$

19.

A ladder is leaning against a wall. The foot of the ladder is 7 feet from the wall. The ladder reaches a height of 16 feet on the wall. What is the approximate measure of the angle the ladder makes with the wall?

a)

$66.4\degree$

b)

$64.1\degree$

c)

$25.9\degree$

d)

$23.6\degree$

20.

Triangle MNP is shown. Based on the information in the diagram, what is the area of $\Delta MNP$ ?

a)

75

b)

100

c)

105

d)

125

21.

David used a cube and square pyramid to build a birdhouse. Based on this information, what is the total volume of David's birdhouse?

a)

$2,064\ in^{3\ }$

b)

$2,112\ in^3$

c)

$2,304\ in^3$

d)

$2,880\ in^3$

22.

There are 12 teams competing in a baking competition. In how many ways can first, second, and third place be determined?

a)

1,728

b)

1,320

c)

220

d)

36

23.

A composite figure is shown. Based on the information, what is the approximate area of the composite figure?

a)

$296.5\ in^2$

b)

$320.5\ in^2$

c)

$353.1\ in^2$

d)

$377.1\ in^2$

24.

In $\Delta ABC,\ \overline{BD}\perp\overline{AC}$ and $\overline{AB}\perp\overline{BC}$ . Based on the information in the diagram, what is the approximate length of $\overline{BD}$ ?

a)

12.0

b)

14.4

c)

19.7

d)

21.6

25.

Jaxon drew a regular hexagon as shown. Based on the information in the diagram, what is the approximate area of Jaxon's hexagon?

a)

$93.5\ cm^2$

b)

$54.0\ cm^2$

c)

$15.6\ cm^2$

d)

$7.8\ cm^2$

26.

In the figures, pentagon ABCDE and pentagon LMNOP are drawn with the dimensions shown. If pentagon ABCDE is similar to pentagon LMNOP, what is the value of y?

a)

4.25

b)

6.25

c)

7.25

d)

15

27.

Triangle PQR is shown. Based on the information in the diagram, what is the approximate measure of $\angle R$ ?

a)

$24.9\degree$

b)

$27.7\degree$

c)

$62.3\degree$

d)

$65.1\degree$

28.

Fourteen girls, including Andrea and Ami, are competing in the district cross country championship race. What is the probability that Ami gets first place and Andrea gets second place?

a)

$\frac{1}{7}$

b)

$\frac{1}{14}$

c)

$\frac{1}{77}$

d)

$\frac{1}{182}$

29.

A plane intersects a three-dimensional figure and is perpendicular to its base. If the intersection is a rectangle, which three-dimensional figure is intersected by the plane?

a)

Cone

b)

Cylinder

c)

Sphere

d)

Square Pyramid

30.

A regular hexagonal pyramid is shown. Based on the information in the diagram, what is the total surface area of the pyramid to the nearest hundredth of a square inch?

(a)

31.

Xavier has a standard deck of 52 playing cards. What is the probability that Xavier draws two face cards without replacement?

a)

$\frac{33}{676}$

b)

$\frac{11}{221}$

c)

$\frac{9}{169}$

d)

$\frac{3}{13}$

32.

Segment GM is an altitude of $\Delta AGE$ . Based on the information in the diagram, what is the length of $\overline{AE}$ ?

a)

14.1

b)

17.0

c)

18.4

d)

19.7

33.

In circle C, $m\angle ACB=22\degree$ and $CB\ =13$ units. Based on the information in the diagram, what is the length of arc AB in terms of $\pi$ ?

a)

$26\pi$ units

b)

$\frac{1859}{180}\pi$ units

c)

$\frac{13}{22}\pi$ units

d)

$\frac{143}{90}\pi$ units

34.

A rectangular prism is shown. If the prism is dilated by a scale factor of $\frac{4}{7}$ , which statement is true?

a)

The surface area of the new prism is $\frac{4}{7}$ the surface area of the original prism.

b)

The surface area of the new prism is $\frac{16}{49}$ the surface area of the original prism.

c)

The surface area of the new prism is $\frac{8}{7}$ the surface area of the original prism.

d)

The surface area of the new prism is $\frac{4}{49}$ the surface area of the original prism.

Spring ACP Cumulative Review 21-22

Total questions: 34

Worksheet time: 3hrs 46mins

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