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Worksheets

Weekly Work - Ratios and More

Total questions: 50

Worksheet time: 1hrs 6mins

Name
Class
Date
1.

If the ratio of cats to dogs in a pet shop is 3:4, and there are 12 cats, how many dogs are there?

a)

16

b)

15

c)

14

d)

13

2.

Create a ratio table to show the relationship between hours studied and the number of chapters covered, if 2 hours of study covers 3 chapters.

a)

4 hours - 6 chapters, 6 hours - 9 chapters

b)

4 hours - 5 chapters, 6 hours - 8 chapters

c)

3 hours - 4.5 chapters, 5 hours - 7.5 chapters

d)

3 hours - 5 chapters, 5 hours - 8 chapters

3.

Solve the equation for xx if the ratio of xx to 6 is equal to the ratio of 4 to 8.

a)

3

b)

4

c)

5

d)

6

4.

If the ratio of the number of red balls to blue balls in a bag is 5:7 and there are 35 blue balls, how many red balls are there?

a)

25

b)

30

c)

20

d)

15

5.

A recipe calls for 2 cups of flour for every 3 cups of sugar. If you want to make a half batch using the same ratio, how many cups of flour do you need?

a)

1

b)

1.5

c)

2

d)

2.5

6.

If 5x+3=2x+125x + 3 = 2x + 12 , what is the value of xx ?

a)

3

b)

2.5

c)

3.5

d)

4

7.

The ratio of boys to girls in a class is 4:5. If there are 20 boys, how many students are in the class in total?

a)

45

b)

40

c)

50

d)

55

8.

Create a ratio table to show the relationship between miles driven and gallons of gas used if 10 miles requires 1 gallon of gas.

a)

20 miles - 2 gallons, 30 miles - 3 gallons

b)

15 miles - 1.5 gallons, 25 miles - 2.5 gallons

c)

20 miles - 3 gallons, 40 miles - 6 gallons

d)

15 miles - 2 gallons, 25 miles - 3.5 gallons

9.

If the ratio of the length to the width of a rectangle is 4:3 and the width is 9 cm, what is the length?

a)

12 cm

b)

13 cm

c)

14 cm

d)

15 cm

10.

A car travels 300 miles on 10 gallons of gas. Using the same ratio, how many gallons of gas are needed to travel 450 miles?

a)

15 gallons

b)

14 gallons

c)

13 gallons

d)

12 gallons

11.

If the ratio of the number of apples to oranges in a basket is 2:3 and the total number of fruits is 30, how many apples are there?

a)

10

b)

12

c)

14

d)

16

12.

A school's student to teacher ratio is 20:1. If there are 400 students, how many teachers are there?

a)

20

b)

25

c)

30

d)

35

13.

What is a Ratio?

a)

A Denominator

b)

A comparison of two quantities

c)

A Mixed Number

d)

Order of Operations

e)

14.

How many ways can you write a ratio?

a)

1

b)

2

c)

3

d)

4

e)

15.

What is the ratio of bananas to apples?

a)

2 : 14

b)

2 to 7

c)

5 : 7

d)

7 to 2

e)

16.

What is the ratio of birds to All Animals?

a)

18 to 8

b)

3 to 18

c)

11 : 18

d)

7 : 3

e)

3 : 25

17.

Write the ratio of TUBAS to FLUTES in three ways!

18.

Select ALL the Equivalent Ratios for 23\frac{2}{3}  

** HINT: 3 answers **

a)

46\frac{4}{6}  

b)

515\frac{5}{15}  

c)

812\frac{8}{12}  

d)

2030\frac{20}{30}  

e)

1213\frac{12}{13}  

19.

 TAPE DIAGRAM:

The ratio of red pens to blue pens in a package is 2:5. If there are 40 blue pens in the package, how many red pens are in the package?

(a)  

20.

TAPE DIAGRAM:

The ratio of the number of CARS to SUVs in a parking lot is 5:2. There are 70 total Vehicles in the parking lot. How many SUVs are there?

(a)  

21.

Complete the Ratio Table.

a)

5

b)

50

c)

2

d)

100

e)

12\frac{1}{2}  

22.

FInd the missing value in the Ratio Table.

a)

14

b)

2

c)

7

d)

4

e)

1

23.

Find the Missing Value in the Ratio Table.

a)

12

b)

3

c)

18

d)

36

e)

20

24.

Select the Equivalent Ratio of 35\frac{3}{5}  

a)

69\frac{6}{9}  

b)

1220\frac{12}{20}  

c)

  615\frac{6}{15}  

d)

910\frac{9}{10}  

e)

25.

Find the missing value.

a)

2

b)

4

c)

6

d)

12

26.

Match the following ratios:

a)

7:4

1.

21:12

b)

3:7

2.

9:21

c)

2:6

3.

24:72

d)

8:3

4.

24:9

e)

5:4

5.

20:16

27.

What is this symbol?

a)

less than

b)

greater than

c)

less than or equal to

d)

greater than or equal to

28.
What symbol could go in the box to make a true statement?
9 ___  -9
a)
>
b)
<
c)
d)
29.
Which of these means that x is greater than or equal to 12
a)
x ≥ 12
b)
x  > 12
c)
x ≠ 12
d)
x ≥ 15
30.

Write in word the following inequality x + 1 > 10

(a)  

31.

Which set (s) of numbers make the inequality a - 5 < 6

a)

{ 8,9,10}

b)

{11,12,13}

c)

{5,6,7}

32.
No More Than
a)
<
b)
>
c)
d)
33.
Fewer Than
a)
<
b)
>
c)
d)
34.
more than
a)
<
b)
>
c)
d)
35.
When you graph an inequality, you use a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
c)
≤, <
d)
≥, >
36.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
c)
≤, <
d)
≥, >
37.

What does an open circle mean?

a)

The number is opened.

b)

The number is part of the solution.

c)

The number is NOT part of the solution.

d)

It's just a shape, all points are equidistant from the center of the circle.

38.

What does a closed circle mean?

a)

It means it is dark.

b)

The number is part of the solution.

c)

The number is NOT part of the solution.

d)

It's just a circle, all points are equidistant from the center of the circle.

39.

Match the inequality statement with its symbol.

a)

>>  

1.

greater than

b)

\le  

2.

no more than

c)

\ge  

3.

at least

d)

<<   

4.

less than

40.

Which inequality matches the graph?

a)

x<3

b)

x>3

c)

x<3

d)

x>3

41.

Match the graph with its inequality.

a)

a > 11

b)

a < 11

c)

a ≥ 11

d)

a ≤ 11

42.

Pick the correct letter for:

x < 6

a)

A

b)

B

c)

C

d)

D

43.

Which inequality represents the graph?

a)

X < 4

b)

X undefined4

c)

X > 4

d)

X \ge 4

44.

Which inequality represents the graph?

a)

X > 3

b)

X \ge 3

c)

X < 3

d)

X \le 3

45.
In the fruit bowl there are 4 apples, 2 bananas, and 5 pears.  What is the ratio of pears to ALL fruit?
a)
5:4
b)
5:11
c)
2:5
d)
6:5
46.

What is the ratio of the number of days it rained last week to the number of days it did NOT rain?

a)

4:3

b)

3:4

c)

3:7

d)

4:7

47.

The graph shows the cost of buying paint in 1-gallon buckets.


Based on the graph, which dollar amount represents the cost to buy five 1-gallon buckets of paint?

a)

$120

b)

$125

c)

$130

d)

$135

48.

Which ratio is equivalent to 5:15

a)

1:3

b)

1:5

c)

3:5

d)

5:1

49.

Which axis is horizontal? (left to right?)

a)

x

b)

y

50.

Which axis is vertical? (up and down?)

a)

x

b)

y