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G7 Ratios

Total questions: 107

Worksheet time: 27hrs 45mins

Name
Class
Date
1.

The ratio of red counters to blue counters is 3 : 1


What fraction of the counters are blue?

a)

1/4

b)

3/4

c)

1/3

d)

3/1

2.

The ratio of red counters to blue counters is 3 : 1


What fraction of the counters are red?

a)

1/4

b)

3/4

c)

1/3

d)

3/1

3.

The ratio of green counters to blue counters is 4 : 5


What fraction of the counters are blue?

a)

5/4

b)

4/5

c)

4/9

d)

5/9

4.

The ratio of red counters to blue counters is 3 : 1


What fraction of the counters are blue?

a)

1/4

b)

3/4

c)

1/3

d)

3/1

5.

The ratio of red counters to blue counters is 3 : 1


What fraction of the counters are red?

a)

1/4

b)

3/4

c)

1/3

d)

3/1

6.

The ratio of green counters to blue counters is 4 : 5


What fraction of the counters are blue?

a)

5/4

b)

4/5

c)

4/9

d)

5/9

7.

The ratio of green counters to blue counters is 4 : 5


What fraction of the counters are green?

a)

5/4

b)

4/5

c)

4/9

d)

5/9

8.

The ratio of purple sweets to red sweets is 2 : 5


What fraction of the sweets are purple?

a)

5/2

b)

2/5

c)

2/7

d)

5/7

9.

The ratio of purple sweets to red sweets is 2 : 5


What fraction of the sweets are red?

a)

5/2

b)

2/5

c)

2/7

d)

5/7

10.

The ratio of clubs to hearts in a hand of playing cards is 6 : 1


What fraction of the cards are clubs?

a)

1/6

b)

6/1

c)

1/7

d)

6/7

11.

The ratio of clubs to hearts in a hand of playing cards is 6 : 1


What fraction of the cards are hearts?

a)

1/6

b)

6/1

c)

1/7

d)

6/7

12.

In a fruit bowl 3/5 of the fruit are apples. The rest are oranges.


What is the ratio of apples to oranges?

a)

3 : 5

b)

5 : 3

c)

3 : 2

d)

3 : 8

13.

In a box of sweets 7/10 of the sweets are red. The rest are purple.


What is the ratio of red sweets to purple sweets?

a)

3 : 7

b)

7 : 3

c)

3 : 10

d)

7 : 10

14.

In a box of sweets 1/4 of the sweets are green. The rest are orange.


What is the ratio of orange sweets to green sweets?

a)

3 : 1

b)

1 : 3

c)

1 : 4

d)

4 : 1

15.

In a bunch of flowers 1/3 of the flowers are tulips. The rest are roses.


What is the ratio of roses to tulips?

a)

3 : 1

b)

1 : 3

c)

1 : 2

d)

2 : 1

16.

In a bunch of flowers 3/8 of the flowers are daffodils. The rest are carnations.


What is the ratio of daffodils to carnations?

a)

3 : 8

b)

5 : 3

c)

3 : 5

d)

5 : 8

17.

In a box of sweets 1/2 of the sweets are gold. The rest are purple.


What is the ratio of gold sweets to purple sweets?

a)

1 : 1

b)

1 : 2

c)

2 : 1

d)

1 : 3

18.

Thinking of equivalent ratios, 1 : 4 is equal to:

a)

2 : 9

b)

4 : 16

c)

6 : 26

d)

8 : 40

19.

Loot at the picture above. A and B are:

a)

52 5and 28

b)

54 and 28

c)

54 and 24

d)

28 and 24

20.

There is a height-to-shadow ratio. It is 40 : 30. Look to the image and try to find the height of the tallest person.

a)

80 cm

b)

78 cm

c)

84 cm

d)

82 cm

21.

That drawing shows a part-to-whole ratio. The number of apples to the total fruits is:

a)

5 : 12

b)

2 : 6

c)

4 : 13

d)

4 : 12

22.
Patrick has 2 black, 3 red, and 5   white toy cars. What is the ratio of red toy cars to all the toy cars? 
a)
3:5
b)
1:3
c)
3:11
d)
3:10
23.
For a recipe, Brutus uses 4 cups of sugar for every 5 cups of flour. Which of the following show equivalent ratios for sugar to flour?
a)
4/5=8/10 =12/15
b)
4/5 = 5/6 = 6/7
c)
4/5 = 3/4 = 2/3
d)
4/5=8/15=16/45
24.
Which ratio is equivalent to 5 to 4
a)
25 to 20
b)
10 to 12
c)
4 to 5
d)
15 to 8
25.
What number is missing?
a)
12
b)
3
c)
11
d)
13
26.
What is B?
a)
3
b)
9
c)
2
d)
6
27.
Kevin is mixing paint to make orange. The ratio of red paint to yellow paint is 3 oz to 5 oz. How much yellow paint should he mix with 9 oz of red paint?
a)
15 oz
b)
30 oz
c)
45 oz
d)
11 oz
28.

Which sentence accurately represents the following ratio:

a)

The ratio of moons to suns is 4 to 8

b)

There are 4 moons for every 8 suns

c)

There are 4 moons for every 2 suns

d)

The ratio of suns to moons is 2:1

29.

Select ALL the ratios that are equivalent to 16 : 6

a)

3 to 8

b)

32 : 12

c)

4 to 2

d)

8 to 3

30.

A cookie recipe calls for 3 cups of flour and 2 cups of chocolate chips. What is the ratio of chocolate chips to flour?

a)

3 : 2

b)

3 to 2

c)

6 : 4

d)

2 : 3

31.

A cookie recipe calls for 2 eggs and 3 cups of flour. How much flour and how many eggs are needed to make 3 batches?

a)

6 eggs and 9 cups of flour

b)

6 cups of flour and 9 eggs

c)

8 eggs and 12 cups of flour

d)

12 eggs and 8 cups of flour

32.

A cookie recipe calls for 2 eggs and 3 cups of flour. How many cups of flour is needed with 8 eggs?

a)

9 cups of flour

b)

5 cups of flour

c)

12 cups of flour

d)

6 cups of flour

33.

5 movie tickets cost $45. What is the cost per ticket?

a)

$45

b)

$9

c)

$40

d)

$225

34.

5 movie tickets cost $45. What is the cost of 4 tickets?

a)

$180

b)

$20

c)

$41

d)

$36

35.

Are these ratios equivalent?

23\frac{2}{3}  and  89\frac{8}{9}  

a)

yes

b)

no

36.
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
37.

From the previous question, is the ratio of "pears to all fruit" a "part-to-part" or a "part-to-whole" ratio?

a)

Part-to-part

b)

Part-to-whole

38.
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
39.
Solve for A in the table.
a)
A= 40
b)
A= 10
c)
A= 9
d)
A= 45
40.
Solve for B in the table.
a)
B= 40
b)
B= 10
c)
B= 9
d)
B= 45
41.
What  number is missing?
a)
7
b)
3
c)
10
d)
5
42.
Patrick has 2 black, 3 red, and 5   white toy cars. What is the ratio of red toy cars to all the toy cars? 
a)
3:5
b)
1:3
c)
3:11
d)
3:10
43.
If there are 5 boys and 7 girls, write the ratio of girls to boys.
a)
5 to 7
b)
7 to 5
c)
5 to 12
d)
7 to 12
44.

What is a comparison of two quantities that can be written in three ways:

a to b

a:b

ab\frac{a}{b}  



(a)  

45.

Two ratios that describe the same relationship are called:

a)

ratios

b)

equal ratios

c)

equivalent ratios

d)

ratio tables

46.

Write the ratio of red circles to blue circles.

a)

6:5

b)

5 to 7

c)

7 to 5

d)

5:6

47.

Find the missing value in the ratio table.

(a)  

48.

What is the value for A

(a)  

49.

What is the value of C

(a)  

50.

What is the value for A

(**HINT - is the value increasing or decreasing?)

(a)  

51.

What is the value for B

(a)  

52.

What is the value for A

(a)  

53.

What is the value for B

(a)  

54.

Equivalent means...

(a)  

55.
Convert 0.81 to a percent
a)
0.81%
b)
0.18%
c)
8.1%
d)
81%
56.
What is 10% of $100?
a)
10
b)
$10
c)
1
d)
£1
57.
Write the following as a decimal:
17.5 %
a)
1750
b)
0.175
c)
1.75
d)
0.0175
58.
Write the following as a percent:
0.49
a)
4.9%
b)
0.49%
c)
49%
d)
94%
59.

Divide $45 in the ratio 4:5

a)

$20:$25

b)

$15:$30

c)

$18:$27

d)

$4:$5

60.

Divide $45 in the ratio 4:5

a)

$20:$25

b)

$15:$30

c)

$18:$27

d)

$4:$5

61.

Divide 720kg in the ratio 5:3

a)

300kg:420kg

b)

400kg:320kg

c)

450kg:270kg

d)

420kg:300kg

62.

Find one equivalent ratio for 15 : 30 using division

a)

7 : 15

b)

5 : 10

c)

3 : 5

63.

What are the total number of parts in the following ratio,

3 : 5 : 20 : 1

a)

2.9

b)

20

c)

28

d)

29

64.
Patrick has 2 black, 3 red, and 5   white toy cars. What is the ratio of red toy cars to all the toy cars? 
a)
3:5
b)
1:3
c)
3:11
d)
3:10
65.
a)

£4:£12

b)

£12:£4

c)

£12:£2

d)

£2:£12

66.
a)

£150:£120

b)

£120:£80

c)

£135:£95

d)

£160:£90

67.
a)

£10:£50

b)

£30:£50

c)

£24:£40

d)

£42:£24

68.

The ratio of adults to children in the sports club is 5: 3. There are 120 adults in the club. How many

children are there?

a)

5

b)

15

c)

45

d)

75

69.

If $35 is divided into the ratio 2 : 3 : 2, how much is one ratio part worth?

a)

$7

b)

5

c)

$35

d)

$5

70.

Divide $70 into the ratio 2 : 7 : 1

a)

$14 : $49 : $7

b)

$49 : $7 : $14

c)

$10

d)

$20

71.
Kevin is mixing paint to make orange. The ratio of red paint to yellow paint is 3 oz to 5 oz. How much yellow paint should he mix with 9 oz of red paint?
a)
15 oz
b)
30 oz
c)
45 oz
d)
11 oz
72.

This month, Hermione is fascinated by Herbology and Transfiguration. The number of Herbology books to Transfiguration books she reads is 8 : 3. If she has read 24 Transfiguration books, how many Herbology books has she read?

(a)  

73.

(this is challenging .. think about how many parts 150mL represents .. )

A truth serum contains dragon blood and flobberworm mucus in the ratio of 4:9. If there are 150 fewer millilitres of dragon flood, find the total amount of truth serum.

(a)  

74.

(this is quite tricky!)

The ratio of the number of Ravenclaw broomsticks to the number of Gryffindor broomsticks was 8:7.


After Ravenclaw gave 8 broomsticks to Gryffindor, they each had the same number of broomsticks.


How many broomsticks did they have altogether? (write the number of broomsticks only)

(a)  

75.

Cross Products of a proportion are _________ equal.

a)

ALWAYS

b)

SOMETIMES

c)

RARELY

d)

NEVER

76.

Solve the proportion for X.

369=x3\frac{36}{9}=\frac{x}{3}  

a)

2

b)

4

c)

13

d)

12

77.

Is the following equation a Proportion or NOT? (Proportions have two equivalent ratios)

47=24\frac{4}{7}=\frac{2}{4}  

a)

Proportion

b)

Not a proportion

78.

Solve this proportion for X.

12x=484\frac{12}{x}=\frac{48}{4}  

a)

x = 3

b)

x = 1

c)

x = 12

d)

x = 48

79.

What is the correct next step when using the cross product method on this problem?

12= 510\frac{1}{2}=\ \frac{5}{10}  

a)

1(10) = 2(5)

b)

1(5) = 2(10)

c)

1(2) = 5(10)

80.

Cross Products of a proportion are _________ equal.

a)

ALWAYS

b)

SOMETIMES

c)

RARELY

d)

NEVER

81.

Solve the proportion for X.

369=x3\frac{36}{9}=\frac{x}{3}  

a)

2

b)

4

c)

13

d)

12

82.

Is the following equation a Proportion or NOT? (Proportions have two equivalent ratios)

47=24\frac{4}{7}=\frac{2}{4}  

a)

Proportion

b)

Not a proportion

83.

Solve this proportion for X.

12x=484\frac{12}{x}=\frac{48}{4}  

a)

x = 3

b)

x = 1

c)

x = 12

d)

x = 48

84.

Is the following equation a proportion or not? (Proportions have two equivalent ratios)

23=46\frac{2}{3}=\frac{4}{6}  

a)

Proportion

b)

Not a proportion

85.

What is a proportion?

a)

An equation with two equivalent ratios separated by an equal sign

b)

A straight line that goes through the origin

c)

The constant of proportionality

86.

True or False: This equation is a proportion because it has two equivalent ratios separated by an equal sign.

721=2163\frac{7}{21}=\frac{21}{63}  

a)

True

b)

False

87.

True or False: A proportion is the SAME EXACT thing as an equation.

a)

True, proportions and equations both have equal signs, therefore they are the same exact thing.

b)

False, a proportion is a BRANCH of 'equation'- it is a TYPE of equation, not the same thing.

88.

Miss B's Favorite Pop Tart Flavor is...

a)

Cookies & Cream

b)

Strawberry

c)

Brown Sugar

d)

Cinnamon

89.
Solve the proportion.
a)
18
b)
3
c)
2
d)
9
90.
Solve the proportion.
a)
60
b)
15
c)
3
d)
12
91.
Solve the proportion.
a)
84
b)
21
c)
11
d)
5
92.
Solve the proportion.
a)
20
b)
7
c)
22
d)
11
93.
Solve the proportion.
a)
17.5
b)
15
c)
8
d)
14
94.
Solve the proportion.
a)
18
b)
4
c)
9
d)
8
95.
Solve the proportion.
a)
-5
b)
2
c)
7
d)
6
96.
Solve the proportion.
a)
10
b)
-2
c)
4
d)
-7
97.
Solve for k
a)
165
b)
17
c)
1/17
d)
1/165
98.
Solve for b 
a)
8
b)
17/12
c)
4/3
d)
1/8
99.
Solve for k.
a)
-2.33
b)
14
c)
-14
d)
-5.25
100.
Solve the equation for x:
a)
17
b)
16
c)
15
d)
14
101.
a)
5
b)
-5
c)
25
d)
-25
102.

Solve for y

(5+y)(y−3)=1410\frac{\left(5+y\right)}{\left(y-3\right)}=\frac{14}{10}  

(a)  

103.

Solve for m

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

(a)  

104.

Solve for r

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

(a)  

105.

Solve for w

(w+2)5=75\frac{\left(w+2\right)}{5}=\frac{7}{5}  



(a)  

106.

Solve for x

34=x8\frac{3}{4}=\frac{x}{8}  

(a)  

107.

Solve for a

a45=315\frac{a}{45}=\frac{3}{15}  

(a)  

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