Ratios and Geometry

There are 80 students in Mr. Bass’ classes.  The ratio of boys to girls is 2 : 3.
How many boys are in the classes?
How many girls?

• Boys: 32
  Girls: 48

• Boys: 48
  Girls: 32

• Boys: 5
  Girls: 15

• Boys: 15
  Girls: 5

A triangle’s angle measures are in the extended ratio of 2 : 4 : 9. Find the measures of the angles.

• 20^o, 40^o, 90^o

• 24^o, 48^o, 108^o

• 24^o, 32^o, 124^o

• 20^o, 40^o, 100^o

Answer explanation

Using the ratio

first angle = 2x°

2nd angle = 4x°

3rd angle = 9x°

Using triangle sum theorem find the value of x

2x + 4x + 9x = 180

once you have the value of x sub in for the angle expressions.

Tags

CCSS.7.G.B.5

The ratio of the sides of a rectangle is 3 to 5.

If the perimeter of the figure is 80 inches,

the shorter side is​ (a)   inches and the longer side is ​ (b)   inches

• 15

• 25

• 30

• 50

• 12

• 28

Answer explanation

Draw a rectangle and label the shorter side 3x and the longer side 5x.

Use perimeter equal to 80.

Tags

CCSS.3.MD.D.8

Simplify the ratio of

20 to 25

Mathematical Equivalence

OFF

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Write the ratio in simplest form.  Don't forget to make sure that you have the same units!
50 seconds: 2 minutes

Mathematical Equivalence

OFF

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Express the ratio as a fraction in simplest form:

18 ounces to 3 cups

Hint: there are 8 ounces in a cup.

• 3 to 4

• 6 to 1

• 18 to 3

• 1 to 6

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Simplify the following ratio:

2 miles to 2640 feet

Hint: There are 5280 feet in a mile.

• 2:1

• 1:2

• 4:1

• 5:1

Tags

CCSS.6.RP.A.3A

Mr. Rowley has 16 homework paper and 14 exit tickets to return.  Ms Rivera has 64 homework papers and 60 exit tickets to return.  For each teacher. write a ratio of the homework to the exit tickets.  Are they equivalent?

• yes, the ratios are both 8 to 7.

• yes, the ratios are both 16 to 15 

• No, they are not equivalent

Tags

CCSS.6.RP.A.3A

A model of a lighthouse has diameter 8 inches and height 18 inches. If the actual diameter of the lighthouse is 20 feet, find its actual height.

• 30 ft

• 35 ft

• 45 ft

• 50 ft

Tags

CCSS.7.G.A.1

A scale drawing of a billboard uses the scale 4 cm:9 ft. The length of the billboard in the drawing is 11 cm. How long is the actual billboard?

• 13 ft

• 20.75 ft

• 24.75 ft

• 22 ft

Tags

CCSS.7.RP.A.2C