Free Printable 7-1 HG Ratios & Proportions

Worksheets

7-1 HG Ratios & Proportions

Total questions: 56

Worksheet time: 3hrs 42mins

Name

Class

Date

A ratio is

comparing a bunch of numbers

a comparison between 2 quantities

an estimation of an amount

a variable

What is it called when you set two ratios equal to each other?

Proportion

Fraction

Ratio

Congruent

All of the following are proper representations of a ratio EXCEPT

a/b

a to b

a:b

a over b

To solve for missing info in a proportion statement you must first

Cross multiply

Divide everything

Get rid of variables

Guess

In geometry what tends to happen to most problems

they are hard to solve

they turn in to decimals

they become algebra problems

they are easy to solve

Solve for x

(a)

Solve the proportion:

(a)

Solve for x

(a)

10.

Solve the proportion.

(a)

11.

The ratio of cars to trucks in the parking lot is 3:5. If there are 360 vehicles in the parking lot, how may are trucks?

(a)

12.

Two numbers are in the ratio 7 : 9. If the sum of the numbers is 112, then the larger number is

(a)

13.

The ratio of pass to fail in PE class is 5:1. If there are 90 students in PE, how many are passing?

(a)

14.

The angles of a triangle are in an extended ratio of 5:7:3. What is the measure of the largest angle?

(a)

15.

The extended ratio of the sides of a triangle are 2:4:7. Find the length of the shortest side if the perimeter is 117 inches.

(a)

16.

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

17.

A triangle’s angle measures are in the extended ratio of 3 : 4 : 11. Find the measures of the angles.

30^o, 40^o, 90^o

30^o, 40^o, 110^o

10^o, 30^o, 140^o

40^o, 40^o, 100^o

18.

A triangle’s angle measures are in the extended ratio of 1 : 2 : 3. Find the measures of the angles.

30^o, 60^o, 90^o

10^o, 20^o, 30^o

20^o, 40^o, 60^o

30^o, 50^o, 100^°

19.

Solve for x

1/2

25/8

53/4

20.

Solve for k

165

1/17

1/165

21.

x = 1/24

x = 29

x = 28

x = 3/2

22.

Use the table to express the ratio in simplest form: Maple to All Trees

12/50

12/40

3/10

3/8

23.

Use the table to express the ratio in simplest form: All Trees to Ashes and Oak

40/28

28/40

10/7

7/10

24.

Solve the proportion.

(a)

25.

Solve the proportion.

(a)

26.

Solve the proportion.

(a)

27.

Solve for x

$\frac{3}{4}=\frac{x}{8}$

(a)

28.

Solve for a

$\frac{a}{45}=\frac{3}{15}$

(a)

29.

Solve for w

$\frac{\left(w+2\right)}{5}=\frac{7}{5}$

(a)

30.

Solve for y

$\frac{\left(5+y\right)}{\left(y-3\right)}=\frac{14}{10}$

(a)

31.

Solve for m

$\frac{\left(m+8\right)}{-3}=\frac{\left(17-m\right)}{-2}$

(a)

32.

Solve for r

$\frac{\left(r-6\right)}{2}=\frac{\left(r+4\right)}{3}$

(a)

33.

Two out of every 3 students in Mr. Pearson’s ninth grade class recycle aluminum cans. If 48 students recycle aluminum cans, HOW MANY STUDENTS are in Mr. Pearson’s class?

(a)

34.

Cindy’s job is to check computer printers for defects. Out of 420 printers she has to check, only 3 of the first 84 have been defective. Using this information, what is the best prediction of the TOTAL NUMBER OF DEFECTIVE PRINTERS?(Set up your ratio)

(a)

35.

A recipe for 2.5 dozen whole-wheat muffins requires 600 g of flour. How many muffins can be made with 900 g of flour?

(a)

36.

Sandra wants to give a party for 60 people. She has a punch recipe that makes 2 gallons of punch and serves 15 people. How many gallons of punch should she make for her party?

(a)

37.

A model airplane is made to the scale 1 inch to 24 inches. If the wing of the actual plane is 18 feet long, how long will the model wing be in inches?

(a)

38.

Orlando stuffs envelopes for extra money. He makes a quarter for every dozen he stuffs. How many envelopes will he have to stuff to make $10.00

(a)

39.

If a class has 14 redheads, 8 brunettes, and 6 blondes- What is the REDUCED ratio of redheads to brunettes?

4:7

14:8

8:14

7:4

40.

If a class has 14 redheads, 8 brunettes, and 6 blondes- What is the REDUCED ratio of redheads to blondes?

3:7

14:6

6:14

7:3

41.

If a class has 14 redheads, 8 brunettes, and 6 blondes- What is the REDUCED ratio of blondes to brunettes?

3:4

8:6

6:8

4:3

42.

The ratio of two supplementary angles is 4:1. Find the measure of the largest angle.

(a)

43.

The ratio of the measures of the angles in a triangle is 11:2:5. Find the measure of the largest angle.

(a)

44.

The ratio of the measures of the angles in a triangle is 4?7:9. Find the measure of the smallest angle.

(a)

45.

The ratio of the measures of the triangle is 10:15:6. If the perimeter of the triangle is 217 meters, find the length of the shortest side.

(a)

46.

The ratio of the measures of two

complementary angles is 7:8. What is the

measure of the smaller angle?

(a)

47.

The ratio of the measures of the three angles

in a triangle is 2:9:4. Find the measure of the middle angle.

(a)

48.

The ratio of the measures of the three angles

in a triangle is 10:3:7. Find the measure of the

largest angle.

(a)

49.

The ratio of the measure of the vertex angle

to the base angle of an isosceles triangle is

8:5. Find the measure of the vertex angle.

(a)

50.

The ratio of the measures of the sides of a

triangle is 21:8:14. If the perimeter of the

triangle is 215 feet, find the length of the longest side.

(a)

51.

The ratio of the measures of the sides of a

triangle is 4:7:5. If the perimeter of the

triangle is 128 yards, find the length of the

longest side.

(a)

52.

Solve for x. If there is more than one solution, type one of them.

(a)

53.

Solve for x.

(a)

54.

Solve for x.

(a)

55.

Solve for x. If there is more than one solution, enter one of them.

(a)

56.

Solve for x. If there is more than one solution, enter one of them.

(a)

100 %

7-1 HG Ratios & Proportions

Total questions: 56

Worksheet time: 3hrs 42mins

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