Proportional Reasoning and Corresponding Sides and Angles

1. A scale drawing of a rectangular field is 12in by 7in, with a scale of 15 yards = 1 inch. What is the actual length of the sides of the field?

• 180yds by 105yds

• 180in by 15in

• 12yds by 1yd

• 12in by 105yds

1. The ratio of boys to girls in the schools’ math team is six to seven. Which combinations of boys and girls could the team have?

Select the statements that correctly match this ratio.

• Eighteen Boys

  Fourteen Girls

• Twelve Boys

  Fourteen Girls

• Twelve Boys

  Twenty-one Girls

• Eighteen Boys

  Twenty-one Girls

• Twenty-four Boys

  Twenty-one Girls

1. Travis is making a scale model of his home. The actual home is 45 feet long and 35 feet wide. Travis wants his model to be 15 inches in length. Which could be used to find the width of his model if he uses the same ratio?

• 45/15=x/35

• 45/15=35/x

• 15/45=35/x

• 35/45=15/x

1. The regular price of a burger meal at a certain restaurant is $8.70. It is on sale for a 20% discount. What is the sale price of the hamburger meal?

• $1.74

• $6.96

• $7.83

• $10.44

If 4 apples cost $6, how much would 15 apples cost?

• $24

• $29.56

• $22.50

• $30

If 5 Twinkies cost $1.50, how much is it for 20 Twinkies?

• $5

• $12

• $3.50

• $6

The ratio of teachers to students is set at 1:35. If there are 735 students, how many teachers would be needed?

• 21

• 40

• 200

• 28

To make lemonade, you need 8 lemons and 10 cups of water. How many lemons would you need if you have 60 cups of water?

• 120

• 480

• 48

• 60

For every left-handed person, there are about 9 right-handed people. If there are 30 students in the class, write and solve a proportion to predict the number students who are right handed?

• 3

• 27

• 15

• 0

You estimate that you can solve 14 math problems in 45 minutes. How long should it take you to do 20 problems?

• about 65 minutes

• about 30 minutes

• about 84 minutes

• about 58 minutes