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Worksheets

Ratios and Scales

Total questions: 51

Worksheet time: 1hrs 10mins

Name
Class
Date
1.
What is a Ratio?
a)
Is a comparison of two quantities 
b)
To multiply two fractions 
c)
A number over another number
d)
Two decimals that can be multiplied
2.
What is the ratio of red apples to green apples
a)
7 apples to 3 green
b)
4 red apples to 7 apples
c)
4 red apples to 3 green apples
d)
3 green apples to 4 red apples
3.
There are 4 birds and 6 snakes. What is the ratio of birds to total animals?
a)
4/10
b)
4/6
c)
6/4
d)
10/4
4.
A class has 15 boys and 20 girls. What is the boy:girl ratio in simplest form?
a)
4 to 5
b)
10 to 13
c)
3:4
d)
3:5
5.

The unitary method involves...

a)

Find the total number of parts in a ratio

b)

Find the value of the number of parts required in the ratio

c)

Find the total number of ratios in the part

d)

Find the value of one part

6.

To make coffee, one small scoop of coffee grounds is added to 2 cups of water. Use the ratio table to find how many cups of water to use for 5 scoops of coffee.

a)

4 cups of water

b)

6 cups of water

c)

10 cups of water

d)

8 cups of water

7.

Which of the following ratios are not equivalent to 1/2

a)

2/4

b)

3/6

c)

6/10

d)

30/60

8.

10x = 25100\frac{10}{x}\ =\ \frac{25}{100}  

a)

x = 40

b)

x = 2500

c)

x = 250

d)

x = 2.5

9.
In a certain apartment building, the ratio of tenants to cars is 3:5. If there are 30 tenants, how many cars are there?
a)
35
b)
60
c)
18
d)
50
10.

Express the following ratio in simplest form:
47:37\frac{4}{7}:\frac{3}{7}  

a)

3:4

b)

8:6

c)

28:21

d)

4:3

11.

Express the following ratio in simplest form:
12:23\frac{1}{2}:\frac{2}{3}  

a)

3:4

b)

1:2

c)

3:2

d)

4:3

12.
What is a scale drawing?
a)
A drawing that shows a real object enlarged or reduced
b)
A drawing of the weight of an object
c)
A life size drawing of an object
d)
A drawing that shows all the sides of a building
13.
The two rectangles are scale drawings. What is the measurement of x?
a)
21
b)
1.25
c)
20
d)
4
14.
Find side length X.
a)
16
b)
18
c)
2.4
d)
15
15.
Scale is 1cm = 8km. Hatboro and Smithville are 24cm apart on the map, what is the actual distance between the 2 cities?
a)
87 km
b)
216 km 
c)
33 km
d)
192 km
16.
What is the scale factor if the triangle on the left is the original?
a)
2
b)
3/2
c)
2/3
d)
1/2
17.

What is the scale factor from ΔABC to ΔDEF?

a)

1/2

b)

7/3

c)

2

d)

10/3

18.

The original perimeter of a rectangle is 30cm, if we enlarge it by a scale factor of 4 what is the new perimeter?

a)

120

b)

480

c)

1920

19.
Harry mowed eight lawns and earned $96. How much did he earn for each lawn?
a)
$96
b)
$12
c)
$768
d)
$8
20.
If Justin can type 408 words in 4 minutes, how many words can he type per minute?
a)
102 words per minute
b)
100 words per minute
c)
400 words per minute
d)
412 words per minute
21.
Which rate is equivalent to $9 per hour?
a)
$27 in 3 hours
b)
$28 in 4 hours
c)
$33 in 3 hours
22.
An eight pack of juice boxes costs $4.79, and a 12 pack of juice boxes cost $6.59. Use this information to calculate the better buy.
a)
8 pack
b)
12 pack
23.

What is the ratio of Fish to Crabs?

a)

7 : 3

b)

4 : 3

c)

3 : 4

d)

3 : 7

24.

What is the ratio of Animals to Crabs?

a)

13 : 4

b)

4 : 13

c)

9 : 4

d)

4 : 9

25.

What is the definition of a ratio?

a)

It has a unit of 1

b)

A comparison of two amounts or quantities

26.

Find the equivalent ratio of 16 : 10

a)

4 : 5

b)

8 : 5

c)

34 : 20

27.

Which of the following pair of ratios is equivalent

a)

35\frac{3}{5} and 1525\frac{15}{25}

b)

12\frac{1}{2} and 43\frac{4}{3}

c)

36\frac{3}{6} and 45\frac{4}{5}

d)

125\frac{12}{5} and 63\frac{6}{3}

28.

Fully simplify the ratio...


18:24

a)

3:4

b)

9:12

c)

2:3

d)

3:2

29.
Which is NOT a way to write a ratio?
a)
3/5
b)
3.5
c)
3:5
d)
3 to 5
30.
Use equivalent ratios to find the unknown value
a)
36
b)
4
c)
3
d)
63
31.

What ratio is equivalent to the ratio of pears to apples?

a)

6:3

b)

3:6

c)

3:9

d)

6:12

32.

What is the ratio of red apples to green apples

a)

7 apples to 3 green

b)

4 red apples to 7 apples

c)

4 red apples to 3 green apples

d)

3 green apples to 4 red apples

33.
Ella has 5 balloons. Taylor has 7 balloons. Write the ratio of Ella's balloons to Taylor's balloons.
a)
7:5
b)
5:7
c)
3:5
d)
5:3
34.
What is the ratio of red circles to blue stars?
a)
3:4
b)
7/4
c)
11/4
d)
4 to 7
35.

The common factor we can use to simplify the ratio above to its simplest form is

a)

3

b)

4

c)

6

d)

7

36.
What is the ratio of blue dots to red dots?
a)
6 to 5
b)
5 to 6
c)
5 to 11
d)
11 to 5
37.
Kelly has 10 apps on her iPad. 5 are school apps, 2 are music apps, and 3 are games. What is the ratio of school apps to game apps?
a)
5 to 2
b)
3 to 5
c)
5 to 10
d)
5 to 3
38.

1. In Lucy’s class there are 12 boys and 18 girls. Write the ratio of girls:boys in its simplest form.

a)

12:30

b)

3:2

c)

18:12

d)

2:3

39.

2. Gertie has two grandchildren, Jasmine, aged 2, and Holly, aged 4. Gertie divides £30 between them in the ratio of their ages. How much do they each get?

a)

Jasmine £15. Gertie £15

b)

Jasmine £15. Gertie £7.50

c)

Jasmine £10. Gertie £20

d)

Jasmine £2. Gertie £4

40.

3. The ratio of men:women working in a company is 3:5. What proportion of the employees are women?

a)

3/5

b)

3/8

c)

5/8

d)

5/3

41.

4. The ratio of cups of flour:cups of water in a pizza dough recipe is 9:4. A pizza restaurant makes a large quantity of dough, using 36 cups of flour. How much water should they use?

a)

16 cups

b)

13 cups

c)

11 cups

42.

In a box of 48 oranges, 1 in every 6 oranges are rotten. How many oranges are rotten?

(a)  

43.

In our class, there are 2 girls for every 3 boys. There are 30 children in the class. How many boys are there?

(a)  

44.

A machine produces 6 yards of yarn in 2 minutes. How many yards of yarn can it produce in 1 hour?

(a)  

45.

At swimming club there is 4 pink goggles for every 3 blue goggles. How many blue goggles are there if there is 28 pink goggles are there?

(a)  

46.

In the pet shop, there is 2 dogs for every 5 cats. How many dogs will there be if there is 50 cats?

(a)  

47.

Eli is making guacamole. He uses 2 tablespoons of cilantro for every 3 avocados. At this rate, how many tablespoons of cilantro will he need for 9 avocados?

(a)  

48.

Which is the best buy?

a)

4kg of fish for $24

b)

8kg of fish for $50

49.

Which is the best buy?

a)

3 sacks of carrots for $14

b)

4 sacks of carrots for $17

50.

Which is the best buy?

a)

5 sets of guitar strings for $78.75

b)

7 sets of guitar strings for $110.95

51.

Which is the best buy?

a)

8 loaves of bread for $41.60

b)

25 loaves for $131.25