Topic 5-1 Practice

Use the shapes shown below. Write a ratio as X:Y for the following. The number of triangles to the total number of shapes. Only type numbers. DO NOT include the labels as in triangles, squares, etc.

• 1:8

• 4:3

• 3:4

Answer explanation

The question asks for the ratio of triangles to total shapes. If there are no triangles present, the number of triangles is 0. Therefore, the ratio is 0:total shapes, which simplifies to 0.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Write a ratio as X:Y for The number of squares to the number of triangles.

• 4:1

• 3:4

• 1:3

Answer explanation

The ratio of the number of squares to the number of triangles is expressed as X:Y. The correct format for this ratio is 3:1, which indicates 3 squares for every 1 triangle. Therefore, the correct answer is 3:1.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Write a ratio as X:Y for The number of triangles to the number of squares.

• 1:3

• 4:3

• 8:1

Answer explanation

The question asks for a ratio of triangles to squares. The correct format for a ratio is X:Y. The answer choices include '1:3' and '1 to 3', which are valid ratios, while '1/3' is not in the correct format. Therefore, the correct answer is '0' as none match.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Write a ratio as X:Y The number of triangles to the number of circles.

• 4:3

• 1:8

• 1:7

Answer explanation

The question asks for a ratio of triangles to circles. The correct format for a ratio is X:Y. The answer choices include formats like 1:4 and 1 to 4, which are valid ratios, while 1/4 is not in the correct format. Therefore, the correct answer is 0.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Write a ratio as X:Y for The total number of shapes to the number of squares.

• 8:3

• 3:4

• 4:3

• 11

Answer explanation

The ratio of the total number of shapes (9) to the number of squares (3) is expressed as 9:3. The other formats (9 to 3, 9/3) are not in the required X:Y format, making 9:3 the correct choice.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

A cleaning crew can clean 5 offices in 6 hours. How many offices can they clean in 12 hours?

• 8 offices

• 12 offices

• 15 offices

• 10 offices

Answer explanation

The crew cleans 5 offices in 6 hours, which means they clean 5/6 offices per hour. In 12 hours, they can clean (5/6) * 12 = 10 offices. Thus, the correct answer is 10 offices.

Tags

CCSS.6.RP.A.3B

There are 4 adult chaperones for every 15 students who attend a school field trip. If there were 135 students, how many adults would there be on the field trip?

• 30

• 24

• 36

• 42

Answer explanation

The ratio of adults to students is 4:15. For 135 students, calculate adults as (135 students) * (4 adults / 15 students) = 36 adults. Thus, the correct answer is 36.

Tags

CCSS.6.RP.A.3B

There are 14 boys and 16 girls in Mr. Allen’s class. What is the ratio of girls to the total number of students in the class? Write the ratio in 3 ways.

• 16:30, 16 girls to 30 total, 16/30

• 14:16, 14 girls to 16 total, 14/16

• 14:30, 14 girls to 30 total, 14/30

Answer explanation

To find the ratio of girls to total students, add the boys and girls: 14 + 16 = 30. The ratio is 16 girls to 30 total students, which can be expressed as 16:30, 16 girls to 30 total, or 16/30.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

There are 12 students who play the clarinet and 16 students who play the viola. What does the ratio 16:12 describe?

Answer explanation

The ratio 16:12 describes the number of students who play the viola (16) compared to those who play the clarinet (12). It shows the relationship between the two groups of students.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

The ratio of desktop computers to laptop computers at a company is 2 to 9. If there were 108 laptop computers, how many computers would there be in all at the company?

• 38

• 117

• 36

• 24

Answer explanation

The ratio of desktop to laptop computers is 2:9. With 108 laptops, the number of desktops is (2/9) * 108 = 24. Total computers = 108 + 24 = 132. The correct answer is 24 desktops.