Week 18 DCA Review

Grade 8

The two rectangles shown below are similar. Find the length of

segment EF.

F

EH

G

A

BC

D

Perimeter = 78 in

24 in 8 in

At Columbus Middle School 65% of the teachers are

women. If there are 39 women teachers, how many TOTAL teachers are at Columbus

Middle School?

70% of the swimmers on the swim team are

Freshman. If there are 52 Freshman on the swim team, how many total

members the team have?

A square with a side length of 4 is dilated by a scale factor of 2.5. What will

be the PERIMETER of

the new square?

If a square with an area of 36 square

units is dilated by a scale factor of ½, what will be the area of the new

square?

John bought 3 shirts for $35.20. If each shirt cost $11.00 before tax was added, what tax rate was used to find John’s total?

If a rectangle with a width of 8 and a length

of 10 is enlarged so that the new length is

15 what will be the new length?

If an original regular hexagon has side lengths of 2 and a dilation

of the hexagon has side lengths of 6, what scale factor was used to dilate the image?

Draw a dilation of the triangle using a scale factor of 2 and the origin as the

center of dilation.

Several shoe stores are running after Christmas sales on the same shoes. The price reductions are as follows: 40%, ¾, 25% , and ⅓.

Write these price reductions in order from least to greatest.

Susie is 5 feet tall. She casts a

shadow that is 10 feet long. At the same time a tree

casts a shadow 30 foot long shadow. What is the height

of the tree?

A right triangle is shown above. If the triangle is dilated by a scale factor of what will be the PERIMETER of the new

triangle.

12cm20cm

The two rectangles below are similar. If the area of the larger rectangle is 54cm2

what is the area of the smaller rectangle?

9 cm 6 cm

Which of the following are true statements?

I. -33% < -

II. 0.5 > 20%

III. 75% >

A. I onlyB. I and II only

C. II only D. II and III only

What scale factor was used to dilate the red square to the green.

The two octagons above are similar. What scale factor

was used to dilate the octagon on the left to the

octagon on the right?

3 in

21.6 in

Before frame was made, the molding was a total of 240

inches long.

180 in

60 in

Mrs. Eschbach has a piece of art that measures 180 inches by 60 inches. She has a piece of molding from which she will build a frame. The molding is a total of 240 inches. By what scale factor will the original piece

of art be reduced in order to fit the new frame?

Triangle ABC is similar to triangle EFG. What is the length of EF?

AB

C

E

F

G5 in.

10 in

2.5 in

?

A right triangle is shown below. If the triangle is dilated by a scale factor of

what will be the PERIMETER of the new triangle.

15 cm39 cm

Josh is purchasing a present for his parents anniversary. The price

before tax is $25.45. If the tax rate is 7.25%, what is the total amount he will

pay for the gift?

A B

C D

A' B'

C' D'

What scale factor was used to dilate rectangle ABCD to rectangle A'B' C' D'

0% 100%

Give a reasonable estimate for a percentage represented by point B.

Give a reasonable estimate for a percentage represented by point A.

Give a reasonable estimate for a percentage represented by point C.

AB C

Draw a dilation of the triangle using a scale factor of ¼ with the origin as

the center of dilation.

A

B C

The two prisms below are similar. What is the width, x, of

the smaller prism?

5 meters

x4 meters3.5meters

A bag of lollipops contains 8 grape, 6 strawberry, and 11 green apple. If 2

lollipops are taken from the bag at

random, what is the probability that both

of them will be grape?

What is the probability of spinning a 5 and

rolling a number greater than2?

Mr. Jones is playing a game with his class. He will spin one time at the end of class. If the

spinner lands on a multiple of three, the class gets to leave a minute early. After 3 days the class still had not been allowed to leave early. What is the probability that the class will NOT

leave early after 3 more school days?