# Hotmath Practice Problems

Title:
Hotmath Pre-Algebra
Author:
Hotmath Team
Chapter:Areas and VolumesSection:Similar Figures

Problem: 1

Given that Use the figure drawn and find the length of

Problem: 3

Given that Given:mD = 43 and mY = 25, mF = using the figure shown.

Problem: 5

Given that Use the figure drawn. If mP = 35, then mPQR = ?, and mPST = ?.

Problem: 7

Given that Use the figure shown to determine the length of

Problem: 9

Obtain the missing length if the given pair of triangles is similar.

Problem: 11

Form a proportion to find the missing measure x. Then obtain the value of x.

Problem: 13

Form a proportion and get the value of x.

Problem: 15

Form a proportion to find the missing measure x. Then obtain the value of x.

Problem: 17

Form a proportion and get the value of x.

Problem: 19

Form a proportion to find the missing measure x. Then obtain the value of x.

Problem: 21

Given that Determine the lengths marked x and y using the figure shown.

Problem: 23

Given that Determine the lengths marked x and y using the figure shown.

Problem: 25

Given that Determine the lengths marked x and y using the figure shown.

Problem: 27

Obtain the length of the brace in the roof rafter.

Problem: 29

Trapezoid ABCD trapezoid SRQP. Obtain the length AB.

Problem: 31

The solids shown are similar. The ratio of their surface areas is 49 : 36. Find the ratio of their volumes.

Problem: 33

One sphere has a radius of length x, and a second sphere has a radius of length kx. Find the ratio of their surface areas and the ratio of their volumes.

Problem: 35

The dimensions of a prism are tripled. How many times larger is the volume of the new prism?

Problem: 37

Determine the perimeter of the shaded trapezoid in the figure shown.

Problem: 39

Determine the area of the shaded trapezoid of the figure shown.

Problem: 41

If John cast a shadow of 180 cm long whose height is 120 cm and his father's shadow was 270 cm long, find the height of his father.