IAAT Ratios and Proportional Reasoning 3

Question 1

If the ratio of x to y is 5:3 and y = 12, what is the value of x?

Accepted Answer

20

Answer

15

Answer

18

Answer

25

Question 2

A runner completes 4 laps in 10 minutes. How many laps can the runner complete in 25 minutes at the same rate?

Accepted Answer

10 laps

Answer

8 laps

Answer

9 laps

Answer

12 laps

Question 3

A batch of paint requires blue and yellow in a 3:1 ratio. To make 40 gallons of this paint, how many gallons of yellow are needed?

Accepted Answer

10 gallons

Answer

8 gallons

Answer

12 gallons

Answer

15 gallons

Question 4

Which proportion correctly models this problem: '3 is to 7 as n is to 35'?

Accepted Answer

3/7 = n/35

Answer

3/7 = 35/n

Answer

7/3 = n/35

Answer

3/35 = 7/n

Question 5

If y is directly proportional to x, and y = 18 when x = 3, what is y when x = 7?

Accepted Answer

42

Answer

36

Answer

38

Answer

45

Question 6

Two gears are connected. Gear A has 20 teeth and Gear B has 30 teeth. If Gear A makes 9 rotations, how many rotations does Gear B make?

Accepted Answer

6

Answer

4

Answer

5

Answer

7

Question 7

A class of 30 students has a ratio of 3 boys for every 2 girls. How many boys are in the class?

Accepted Answer

18

Answer

12

Answer

15

Answer

20