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Worksheets

Percent, ratio, Fraction, Algebra 2

Total questions: 130

Worksheet time: 2hrs 16mins

Name
Class
Date
1.

Express 0.02 as percentage

a)

20%

b)

2%

c)

50%

d)

10%

2.

5/10 is the same as 1/2 and 50%

a)

True

b)

False

3.

David says that 1/4 is greater than 40%.Is he right?

a)

yes

b)

no

4.

How would you say 100% in other words?

a)

one whole

b)

one quarter

c)

three quarters

d)

one half

5.

In a class of 30 children.60% are girls.How many girls are in the class?

a)

12

b)

19

c)

18

d)

9

6.

Write 164 as a percentage of 200

a)

82%

b)

16.4%

c)

32.8%

d)

80%

7.

Olivia completed 85% of the Math questions. She still has 6 questions left. How many questions were there in total?

a)

32

b)

45

c)

50

d)

40

8.

A mixture contains 8 L of water and 42 L of milk. What is the percentage of water in the mixture?

a)

19.0%

b)

16%

c)

80.1%

d)

Not listed

9.

There are 20 questions in a test and you get 75% correct. How many questions do you get right ?

a)

15

b)

12

c)

10

d)

5

10.
You are shopping for a new shirt, and you have narrowed your decision down to two. Both shirts are $35, and both are on sale. Shirt A is 25% off. Shirt B is $10 off. Which shirt is the better deal?
a)
Shirt A
b)
Shirt B
c)
The discount is the same.
d)
Well, it really depends on which one she likes more.
11.

Calculate 10% of $40 .

a)

$40

b)

$4

c)

$400

d)

$0.4

12.

What is 25% as a fraction?

a)

1/25

b)

1/5

c)

1/4

d)

1/2

13.

There are 20 questions in a test and you get 75% correct. How many questions do you get right ?

a)

15

b)

12

c)

10

d)

5

14.

What number is 60% of 25?

a)

1.5

b)

15

c)

13

d)

13.6

15.
What is 1% as a fraction?
a)
1/10
b)
1/100
c)
1/1000
d)
1/50
16.

Calculate 5% of 140.

a)

14

b)

28

c)

7

d)

70

17.
Calculate 20% of 260.
a)
26
b)
13
c)
54
d)
52
18.
What is 60% as a decimal?
a)
0.6
b)
0.06
c)
6.0
19.

Write 9/10 as a decimal.

a)

9.10

b)

0.09

c)

0.9

d)

9

20.
What is 42% expressed as a decimal?
a)
0.42
b)
4.2
c)
42
d)
0.042
21.
Which percent is equivalent to 0.08?
a)
0.0008%
b)
0.08%
c)
80%
d)
8%
22.

Which fraction is 0.75 ?

a)

3/6

b)

3/4

c)

2/6

d)

1/4

23.

Convert 25% to a decimal.

a)

0.25

b)

0.2

c)

2.5

d)

0.025

24.

In a class of 50 students, 40 % are girls. Find the number of girls in the class?

a)

22 girls

b)

20 girls

c)

19 girls

d)

12 girls

25.
What fraction is equivalent to 25%?
a)
1/3
b)
1/4
c)
1/5
d)
1/8
26.

50.6% in decimal is

a)

50.6

b)

0.506

c)

5060

d)

Not listed

27.

125\frac{1}{25}  in percentage is

a)

40%

b)

1.25%

c)

20%

d)

4%

28.

30% of $56 is

a)

16.8

b)

39.2

c)

1.68

d)

Not listed

29.

9 239\ \frac{2}{3} % in fraction is 

a)

29300\frac{29}{300}  

b)

29003\frac{2900}{3}  

c)

293\frac{29}{3}  

d)

Not listed

30.

0.5% in fraction is

a)

Not listed

b)

120\frac{1}{20}

c)

510 000\frac{5}{10\ 000}

d)

12\frac{1}{2}

31.

1 181\ \frac{1}{8}  in percentage is

a)

112.5%

b)

118%

c)

0.01125%

d)

Not listed

32.

Maths is fun!

a)

Yes

b)

No

c)

Maybe

d)

Absolutely

33.

0.25% of 400 is

a)

1

b)

100

c)

10

d)

Not listed

34.

45% of 4 kg is

a)

18 kg

b)

0.18 kg

c)

1.8 kg

d)

Not listed

35.

A mixture contains 8 L of water and 42 L of milk. What is the percentage of water in the mixture?

a)

19.0%

b)

16%

c)

80.1%

d)

Not listed

36.

180% of 320 is

a)

5 760 000

b)

576

c)

177.8

d)

Not listed

37.

4625\frac{4}{625}  in percentage is

a)

0.64%

b)

64%

c)

6.4×1056.4\times10^{-5} %

d)

Not listed

38.

75\frac{7}{5}  in percentage is 

a)

140%

b)

0.014%

c)

71.4%

d)

Not listed

39.

0.0034 in percentage is

a)

0.034%

b)

0.34%

c)

0.000034%

d)

Not listed

40.

16.8 in percentage is

a)

168100\frac{168}{100} %

b)

0.168%

c)

1680%

d)

Not listed

41.

School A has 1500 students and School B has 1800 students. On a particular day, both school had 25 students coming late. Which school has a lower percentage of students who come late?

a)

School A

b)

School B

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.
Ten soccer players were going to a soccer tournament with their three coaches. What is the ratio of coaches to players? 
a)
10 : 3
b)
10:13
c)
3 : 10
d)
3:13
45.
Simplify the ratio of
35 : 14
a)
5 : 2
b)
2 : 5
c)
3 : 1
d)
35: 14
46.
Mrs. Shelly paid $3 for 6 muffins and Mrs. Kloske paid $9 for 18 muffins.  
a)
yes, equivalent
b)
no, not equivalent
47.
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
48.
Which ratio is equivalent to 5 to 4
a)
25 to 20
b)
10 to 12
c)
4 to 5
d)
15 to 8
49.
What number is missing?
a)
12
b)
3
c)
11
d)
13
50.
What is B?
a)
3
b)
9
c)
2
d)
6
51.
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
52.

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

53.

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

54.

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

55.

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

56.

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

57.

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

58.

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

59.

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

60.

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

61.

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

62.

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

63.

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

64.

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

65.

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

66.

Supplementary angles always add up to

(a)  

67.
This is what kind of angle?
a)
obtuse
b)
right
c)
straight
d)
acute
68.

1\angle1  and 2\angle2  are ___.  

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

69.
Find the missing angle.  Find x.
a)
20o
b)
70o
c)
160o
d)
180o
70.
a)

x = 118

b)

x = 108

c)

x = 28

d)

x = 58

e)

x = 62

71.

Which angles are vertical angles?

a)

8  and 7\angle8\ \ and\ \angle7

b)

8 and 6\angle8\ and\ \angle6

c)

8 and 5\angle8\ and\ \angle5

72.

What type of angles are these?

a)

Adjacent Angles

b)

Linear Pair

c)

Complementary Angles

d)

Supplementary Angles

e)

Vertical Angles

73.

What angle is vertical to angle 2?

a)

∠4

b)

∠1

c)

∠2

d)

∠5

74.
Vertical angles are always
a)
acute
b)
total 180 degrees
c)
congruent (equal measures)
d)
adjacent angles
75.
What is the value of x?
a)
37
b)
72
c)
108
d)
18
76.

In an orchard 1/5 of the trees are pear trees. There are 45 trees in the orchard. How many are pear trees?

(a)  

77.

I have eaten 1/7 of the chocolates in the box. If there were 56 chocolates, how many have I eaten?

(a)  

78.

4/5 of the tickets for a Lady Gaga concert have been sold. If there are 2000 tickets how many have been sold?

(a)  

79.

In a room 2/3 of the people are male. If there are 60 people in the room, how many women are there?

(a)  

80.

If 9/10 of cats prefer Felix of the 500 surveyed how many do NOT prefer Felix?

(a)  

81.

A shop sold 2/3 of all their newspapers one morning. The rest they returned. If they had 360 papers, how many did they sell?

(a)  

82.

In a car park 4/7 of the cars are silver. There are 700 cars in the car park. How many are NOT silver?

(a)  

83.

1/3 of the people in a room are under 20. If there are 15 under 20s how many over 20s are there?

(a)  

84.

Natalie bought 10 pizzas for a party. When the party was over, she noticed 1/5 of the pizza was gone. How much pizza did everyone eat at the party?

a)

1/2 of pizza

b)

2 pizzas

c)

none

d)

1/5 of pizza

85.
What is half of 24?
a)
4
b)
6
c)
48
d)
12
86.

What type of angles are these? (select 2)

a)

Adjacent Angles

b)

Vertical Angles

c)

Complementary Angles

d)

Supplementary Angles

87.

Which angles are vertical angles?

a)

8 & 7\angle8\ \&\ \angle7

b)

8 & 6\angle8\ \&\ \angle6

c)

8 & 5\angle8\ \&\ \angle5

88.

Which angle is a vertical angle to with 7\angle7  ?

a)

1\angle1  

b)

5\angle5  

c)

3\angle3  

d)

6\angle6  

e)

9\angle9  

89.

Angle 1 and Angle 5 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

90.

Which of the following angles would NOT be congruent to the measure of 7\angle7 ?

a)

2\angle2  

b)

3\angle3  

c)

6\angle6  

d)

8\angle8  

91.

Which of the following is NOT an example of supplementary angles?

a)

7 and 8\angle7\ and\ \angle8  

b)

2 and 3\angle2\ and\ \angle3  

c)

1 and 7\angle1\ and\ \angle7  

d)

6 and 4\angle6\ and\ \angle4  

92.

If the  m7 = 115°,m\angle7\ =\ 115\degree,  find the measure of  2.\angle2.  

a)

115°115\degree  

b)

65°65\degree  

c)

180°180\degree  

d)

Cannot be determined

93.

Angles 4 and 6 are...

a)

supplementary

b)

congruent

94.

Supplementary Angles add up to be ______-degrees

a)

270

b)

180

c)

90

d)

120

95.

Complementary Angles are two angles that add up to equal _____-degrees

a)

180

b)

90

c)

270

d)

120

96.

1) Given the two parallel lines cut by a transversal.


What is the vertical angle to angle 4?

a)

Angle 2

b)

Angle 6

c)

Angle 8

d)

Angle 7

97.

If the  m5 = 63°,m\angle5\ =\ 63\degree,  find the measure of  3.\angle3.  

a)

63°63\degree  

b)

117°117\degree  

c)

180°180\degree  

d)

Cannot be determined

98.
a)
41°
b)
65°
c)
102°
d)
115°
99.
Find the measure of the missing angle.
a)
90o
b)
100
c)
130o
d)
50o
100.
The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. 
a)
45°
b)
90°
c)
180°
d)
360°
101.
An angle that is exactly 90 degrees.
a)
right
b)
acute
c)
obtuse
d)
straight
102.
An angle that is less than 90o.
a)
right
b)
acute
c)
obtuse
d)
straight
103.

What is the value of x?

a)

38

b)

57

c)

76

d)

85

104.
Find the measure of the indicated angle. 
a)
26
b)
36
c)
85
d)
144
105.

Find the measure of the indicated angle.

a)

95

b)

85

c)

35

d)

45

106.

What is Algebra?

a)

Algebra is the branch of math that studies how shapes and figures change.

b)

Algebra is the branch of math that studies the manipulation of symbols given certain rules.

c)

Algebra is the branch of math that studies numbers and infinite objects.

d)

Algebra is the branch of math that studies probability.

107.

What is an algebraic expression?

a)

An algebraic expression is a poem.

b)

An algebraic expression is a combination of letters.

c)

An algebraic expression is a mathematical phrase made up of numbers, variables and operations.

d)

An algebraic expression is nothing.

108.

Simplify the following expression by combining like terms:

3x12+4x63x-12+4x-6  

a)

7x187x-18  

b)

7x67x-6  

c)

x+18-x+18  

d)

Other

109.

Simplify the following expression by combining like terms:

14a2+3b4a+2b+514a-2+3b-4a+2b+5  

a)

18ab+718a-b+7  

b)

10a5b7-10a-5b-7  

c)

  10a+5b+310a+5b+3  

d)

Other

110.

Evaluate the following expression when x=4

12x77x312x-7-7x-3  

a)

12

b)

-10

c)

8

d)

Other

111.

Solve the following equation:

6x=546x=54  

a)

x=48x=48  

b)

x=9x=9  

c)

x=6x=-6  

d)

Other

112.

Solve the following equation:

x33=15x-33=-15  

a)

x=48x=-48  

b)

x=18x=18  

c)

x=2x=2  

d)

Other

113.

Solve the following equation:

m9=7\frac{m}{9}=-7  

a)

m=63m=-63  

b)

m=2m=2  

c)

m=16m=-16  

d)

Other

114.

Solve the following equation:


2y+32=18-2y+32=-18  



(a)  

115.

Solve the following equation:

p4+4=5\frac{p}{4}+4=5




(a)  

116.

Solve the following equation:

3b123=3-3b-123=3  




(a)  

117.

Solve the following equation:

13w12+511w=4313w-12+5-11w=43  




(a)  

118.

Solve the following equation:



4x25=754x-25=75  

a)

x=1x=-1  

b)

x=6x=-6  

c)

x=2x=2  

d)

Other

119.

5x-2x

a)

3-x

b)

3x

c)

x+3

d)

3-x

120.

2x+1=5

a)

x=2

b)

x=1

c)

x=3

d)

x=13

121.

What is 3a+5b if a=4, b=6

a)

40

b)

42

c)

44

d)

46

122.

Y=7, find the value of 2(y+4)

a)

11

b)

20

c)

22

d)

13

123.

-5(-X+3)

a)

5X+15

b)

5X-15

c)

5-3X

d)

3X+5

124.

Simplifying the following expression

n-10+9n-3

a)

-3

b)

9n-3

c)

n

d)

10n-13

125.
Evaluate 4y  if       y = 3
a)
7
b)
12
126.
Simplify: 4x2 - 3x + 11 -2x
a)
4x2 - 5x + 11
b)
11x + 11
c)
16x2 - 5x + 11
d)
10x2
127.
Which of the following is the correct expansion of:
a(a - 10)?
a)
a2 - 10a
b)
2a - 10
c)
2a2 - 10
d)
a - 10a2
128.
(x-8)(x+1)
a)
x2-9x-8
b)
x2-7x-8
c)
x2-7x+8
d)
x2+9x-8
129.
Solve the following equation.
4x + 3 = -5
a)
1/2
b)
-1/2
c)
-2
d)
2
130.

4(4+4x)=96

a)

5

b)

1.5

c)

9

d)

10