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Worksheets

Year 7 Term 1 Review

Total questions: 156

Worksheet time: 1hrs 18mins

Name
Class
Date
1.

Simplify the fraction 8/12.

a)

2/3

b)

6/8

c)

10/12

d)

4/6

2.

Simplify the fraction 15/25.

a)

5/3

b)

3/5

c)

4/5

d)

2/5

3.

Simplify the fraction 20/30.

a)

2/3

b)

6/9

c)

4/5

d)

10/15

4.

Simplify the fraction 9/27.

a)

4/12

b)

2/6

c)

1/3

d)

3/9

5.

Simplify the fraction 16/24.

a)

2/3

b)

4/6

c)

8/12

d)

3/4

6.

Simplify the fraction 7/14.

a)

5/8

b)

1/2

c)

3/4

d)

2/7

7.

Simplify the fraction 10/20.

a)

1/2

b)

3/4

c)

5/10

d)

2/5

8.

Simplify the fraction 12/18.

a)

2/3

b)

5/6

c)

4/5

d)

3/4

9.

Simplify the fraction 6/9.

a)

2/3

b)

4/6

c)

1/2

d)

3/4

10.

Simplify the fraction 21/35.

a)

4/7

b)

6/7

c)

3/5

d)

7/5

11.
Which of the following has a value greater than 2/3?
a)
1/3
b)
2/4
c)
4/6
d)
3/4
12.
Which list below shows the fractions in order from least to greatest?
a)
5/8 < 1/5 < 2/3
b)
1/5 < 5/8 < 2/3
c)
2/3 < 1/5 < 5/8
d)
1/5 < 2/3 < 5/8
13.
Compare the fractions.
4/8 _ 3/5
a)
=
b)
>
c)
+
d)
<
14.
a)

<

b)

>

c)

=

15.

Order these from least to greatest:

0, -1/2, -2/5, 3/5

a)

0, -1/2, -2/5, 3/5

b)

-1/2, -2/5, 0, 3/5

c)

-2/5, -1/2, 0, 3/5

d)

3/5, -2/5, -1/2, 0

16.
Convert to a mixed number: 
a)
4 2/5
b)
3 9/5
c)
4 4/5
d)
4/5
17.
For the fraction of pizza shown in the diagram, what is the numerator?
a)
3
b)
4
c)
5
d)
8
18.
What fraction describes the whole?
a)
2/4
b)
4/4
c)
4/2
d)
3/4
19.
Which fraction is equivalent to 9?
a)
1/9
b)
9/9
c)
9/1
d)
0/9
20.
​What is ??
a)
1
b)
2
c)
3
d)
4
21.

Find the Equivalent Fraction

a)
b)
c)
22.
Which of the following is an improper fraction?
a)
2/3
b)
3/2
c)
1  2/3
d)
1/3
23.
Which of the following is a mixed number?
a)
123
b)
12/3
c)
2/3
d)
1  2/3
24.
What is the first step in changing a mixed number to an improper fraction?
a)
Add the numerator and denominator
b)
Add the whole number to the numerator
c)
Multiply the numerator and denominator
d)
Multiply the whole number and the denominator
25.
Which mixed number is represented by the model?
a)
3  1/4
b)
3 4/1
c)
3  3/4
d)
4  1/4
26.

What is true about Improper Fractions?

a)

All Improper Fractions are greater than 1.

b)

All improper fractions have numerators that are bigger than their denominators.

c)

All improper fractions can be turned into a mixed number.

d)

All of these statements are true!

27.

Convert to an improper fraction

a)
5/4
b)
4/5
c)
11/4
d)
4/11
28.

Convert to an improper fraction

a)
21/4
b)
9/4
c)
4/9
d)
2/4
29.

245\frac{24}{5}  Convert to a mixed number

a)

3 953\ \frac{9}{5}  

b)

3 253\ \frac{2}{5}  

c)

4 454\ \frac{4}{5}  

d)

4 154\ \frac{1}{5}  

30.

334\frac{33}{4}   Convert to a mixed number

a)

7 347\ \frac{3}{4}  

b)

6 246\ \frac{2}{4}  

c)

8 248\ \frac{2}{4}  

d)

8 148\ \frac{1}{4}  

31.

Convert 224\frac{22}{4}  into a mixed number. 

a)

5 245\ \frac{2}{4}  

b)

4 5224\ \frac{5}{22}  

c)

6 126\ \frac{1}{2}  

d)

None of the above

32.

Convert 3143\frac{1}{4}  into an improper fraction. 

a)

11241\frac{12}{4}  

b)

133\frac{13}{3}  

c)

154\frac{15}{4}  

d)

None of the above

33.

Convert 197\frac{19}{7}  into a mixed number. 

a)

3 173\ \frac{1}{7}  

b)

2 672\ \frac{6}{7}  

c)

2572\frac{5}{7}  

d)

None of the above

34.

Convert 2352\frac{3}{5}  into an improper fraction.

a)

135\frac{13}{5}  

b)

215\frac{21}{5}  

c)

105\frac{10}{5}  

d)

None of the above

35.

Convert 116\frac{11}{6}  into a mixed number. 

a)

2 162\ \frac{1}{6}  

b)

1561\frac{5}{6}  

c)

1651\frac{6}{5}  

d)

None of the above

36.

Convert 6136\frac{1}{3}  into an improper fraction.

a)

103\frac{10}{3}  

b)

193\frac{19}{3}  

c)

173\frac{17}{3}  

d)

None of the above

37.

Convert 168\frac{16}{8}  into a mixed number. 

a)

22  

b)

1781\frac{7}{8}  

c)

2182\frac{1}{8}  

d)

None of the above

38.

Convert 137\frac{13}{7}  into a mixed number. 

a)

22  

b)

1761\frac{7}{6}  

c)

1371\frac{3}{7}  

d)

None of the above

39.

Convert 5165\frac{1}{6}  into an improper fraction.

a)

115\frac{11}{5}  

b)

126\frac{12}{6}  

c)

316\frac{31}{6}  

d)

None of the above

40.

Convert 4274\frac{2}{7}  into an improper fraction.

a)

137\frac{13}{7}  

b)

307\frac{30}{7}  

c)

157\frac{15}{7}  

d)

None of the above

41.

When converting the mixed number, after you multiply the whole number by the denominator, you___ the product and the old numerator together to become a new numerator of the improper fraction.

a)

add

b)

subtract

c)

multiply

d)

divide

42.

Find the HCF of 21 and 28

a)

3

b)

4

c)

7

d)

14

43.
What is the LCM of 4 and 12? 
a)
4
b)
8
c)
12
d)
16
44.
Find the HCF of 12 and 15 ?
a)
2
b)
2 x 3
c)
3
d)
60
45.
Find the HCF of 40 and 60?
a)
10
b)
20
c)
30
d)
None of the above
46.
Find the HCF of 30 and 36
a)
2
b)
3
c)
4
d)
6
47.

Find the LCM of 12 and 16...

a)

48

b)

36

c)

64

d)

96

48.

A carpenter got given some free wooden planks. Some are 12m long and some are 18m long. She wants to cut them up so that she has equal size planks to make using them easier. What size planks should she cut them into to avoid wasting any wood?

a)

HCF

b)

LCM

49.

The least common multiple of 12, 30, and 40 is…

a)

40

b)

60

c)

120

d)

160

50.

The highest common factor of 28, 42, and 76 is….

a)

14

b)

7

c)

4

d)

2

51.

Find the HCF for 18, 36, and 81

a)

3

b)

2

c)

6

d)

9

52.
- 9 + 7
a)
-2
b)
2
c)
16
d)
-16
53.
- 2 + - 9
a)
-11
b)
11
c)
-7
d)
7
54.
7 - 26
a)
-19
b)
19
c)
33
d)
-33
55.
-17 - 4
a)
-13
b)
13
c)
-21
d)
21
56.
- 4 - (-9)
a)
-13
b)
13
c)
-5
d)
5
57.

Order this set of integers from least to greatest:

8, 0, -1, 1, -3

a)

-1, -3, 0, 1, 8

b)

0, 1, 8, -1, -3

c)

-3, -1, 0, 1, 8

d)

-3, -1, 8, 1, 0

58.
Order from least to greatest:  -5, -17, 3, 0 
a)
3, 0, -5, -17
b)
3, 0, -17, -5
c)
-17, -5, 0, 3
d)
-5, -17, 0, 3
59.
Order from least to greatest:
[-2, 4, 23, -1, 5, -3, 6]
a)
-3, -2, -1, 4, 5, 6, 23
b)
23, 5, -1, -3, -2, 4, 6
c)
-1, -2, -3, 4, 5, 6, 23
d)
4, 5, 6, 23, -1, -2, -3
60.
Which is greater:  -9 or 0
a)
-9
b)
0
61.

12(8)=.....12-\left(-8\right)=.....  

a)

-20

b)

-4

c)

4

d)

20

62.
The high temperature Monday was 4 degrees. The low temperature was -7 degrees. What is the difference between the high and low temperatures?
a)
3 degrees
b)
12 degrees
c)
11 degrees
d)
10 degrees
63.
Which integer represents a withdrawal from your bank account of $50
a)
-$50
b)
$50
c)
+$50
64.
Boston has a temperature of -20 degrees. It is colder in New York than in Boston. Select the value that could represent the temperature of New York
a)
0
b)
30
c)
-30
d)
-19
65.

What is an integer?

a)

A whole number

b)

A fraction

c)

A negative number only

d)

Negative and positive whole number and 0

66.

3+(5)=-3+\left(-5\right)=  

(a)  

67.

9(6)=9-\left(-6\right)=  

(a)  

68.

1215=12-15=  

(a)  

69.

46+3=-4-6+3=  

(a)  

70.

462=4-6-2=  

(a)  

71.

3+7=-3+7=  

(a)  

72.

2+12=-2+12=  

(a)  

73.

5(6)=-5-\left(-6\right)=  

(a)  

74.

1012=10-12=  

(a)  

75.

82=-8-2=  

(a)  

76.

(4)x(-20)

a)

80

b)

-80

c)

24

d)

-24

77.

20÷5-20\div5  

a)

-4

b)

4

c)

-100

d)

100

78.

30÷(10)-30\div\left(-10\right)  

a)

-30

b)

-3

c)

3

d)

30

79.

44÷4-44\div4  

a)

11

b)

-8

c)

-11

d)

-1/11

80.

12÷(3)-12\div\left(-3\right)  

a)

36

b)

-15

c)

-4

d)

4

81.

(-2)x(-2)x(-2)

a)

-8

b)

8

c)

-6

d)

6

82.
-5 x -8
a)
-40
b)
-13
c)
-45
d)
40
83.

Is the product
–8 x (–3) positive or negative?

a)
negative
b)
positive
c)
both
d)
neither
84.
A negative number multiplied by another negative number will equal ________.
(-) x (-) = ???
a)
0
b)
a positive number.  (+)
c)
a negative number.  (-)
d)
a fraction.
85.
A negative number multiplied by a positive number will equal ________.
(-) x (+) = ???
a)
0
b)
a positive number.  (+)
c)
a negative number.  (-)
d)
a fraction.
86.

-7x(10)=

a)
70
b)
700
c)
-70
d)
-700
87.

-3x(-4)

a)
-12
b)
c)
-7
d)
12
88.
-30/-10=
a)
-30
b)
-3
c)
3
d)
30
89.

(-6)x(5)

a)
30
b)
-30
90.

Is the product of -5 x (-2) positive or negative?

a)
positive
b)
negative
91.
-24 ÷ (-8)
a)
32
b)
-3
c)
-16
d)
3
92.
64 ÷ (-8)
a)
8
b)
-8
c)
-9
d)
-7
93.

-8 x (0)=

a)
-8
b)
8
c)
0
d)
-80
94.

3 x (-3)

a)
9
b)
-9
c)
6
d)
-6
95.
42 ÷ -7 
a)
6
b)
-6
c)
8
d)
-8
96.

Are the two expressions equivalent? 
   -5 x (3) and 5 x (-3)

a)
yes
b)
no
97.

-3 x (-5) - 16

a)
-8
b)
24
c)
-24
d)
-1
98.
Find and explain the error.    
 5 - 3 + 2
     5 - 5
        0
a)
There is no error.
b)
Addition was done first and you should have subtracted first
c)
There is a subtraction error
99.
What are the steps to solve the following expression?
50 − 16 ÷ 2
a)
add, multiply
b)
subtract, divide
c)
divide, subtract
d)
subtract, multiply
100.
Solve the following:
3 + 27 ÷ (-3)
a)
-6
b)
-10
c)
10
d)
-12
101.
2 + (9- 4)
a)
16
b)
77
c)
79
102.
Simplify the following:  
-8 + (15 - 3) ÷ 4
a)
-5
b)
1
c)
-11
d)
11
103.

-4 x (-1 + 8)

a)
-36
b)
28
c)
-28
104.
-56 ÷ (-7) - (-3)
a)
5
b)
11
c)
-5
105.
8 - 30 + 25
a)
47
b)
-47
c)
3
106.
Solve the following:  
8 + (-4) ÷ 4
a)
-7
b)
1
c)
-1
d)
7
107.
Solve the following:
5 - 62 ÷ 4 - 3
a)
1
b)
-10.75
c)
-31
d)
-7
108.

Solve the following:
-2 x (3 + 8 ÷ 4)2

a)
-16
b)
1.375
c)
4
d)
-50
109.

True or False?
2 x 3 + 10 ÷ 2 = 8

a)
True
b)
False
110.

What are the steps to solve the following expression?
50 − 16 ÷ 2 x (12 + 4)

a)
parentheses
multiplication
subtraction
division
b)
parentheses
multiplication
division
subtraction
c)
parentheses
division
multiplication
subtraction
d)
parentheses
subtraction
multiplication
division
111.
4 + [52 + (-4 - 1)] ÷ 10
a)
2.4
b)
4
c)
6
d)
7
112.
(-7) - 32
a)
21
b)
63
c)
-16
d)
-62
113.
(-5) - (-3) x (-4)
a)
60
b)
-60
c)
-17
d)
7
114.
10 x (-5) + (-6)2
a)
56
b)
72
c)
-72
d)
-14
115.
Which operation must be performed first?
52 + (9 - 1) ÷ 4 × 10 + 1
a)
52
b)
9 - 1
c)
4 × 10
d)
10 + 1
116.
True or false: all addition must be simplified before any subtraction
a)
True
b)
False
117.
Two angles added together to produce 90 degrees
a)
Supplementary
b)
Complementary
c)
Right
d)
Vertical
118.
Find the missing angle.
a)
60
b)
70
c)
50
d)
140
119.
These angles are...
a)
Complementary
b)
Supplementary
c)
Neither
120.
These angles are...
a)
Complementary
b)
Supplementary
c)
Neither
121.
Find the missing angle.
a)
47
b)
37
c)
57
d)
137
122.
complementary, supplementary, or neither?
a)
Complementary
b)
Supplementary
c)
Neither
123.
complementary, supplementary, or neither?
a)
Complementary
b)
Supplementary
c)
Neither
124.
What is the measure of the missing angle?
a)
76
b)
66
c)
156
d)
154
125.

What is the definition of a supplementary angle?

a)

Two angles that measure 180 degrees

b)

A right angle

c)

Two angles that measure 90 degrees

d)

Two angles that have the same measure

126.

What is the definition of a complementary angle?

a)

Two angles that have the same measure

b)

A straight line that equals 180 degrees

c)

Two angles that measure 90 degrees

d)

Two angles that measure 180 degrees

127.

What is an example of a pair of complementary angles?

a)

45° and 48°

b)

79° and 30°

c)

150° and 32°

d)

36° and 54°

128.

Find the missing angle.

a)

28°

b)

118°

c)

62°

d)

180°

129.

An angle measures 14°. What is the measure of the complementary angle?

a)

76°

b)

166°

c)

14°

d)

68°

130.
What is an example of a pair of complementary angles?
a)
13° and 45°
b)
10° and 170°
c)
81° and 9°
d)
90° and 3°
131.
What is the measure of the missing angle?
a)
76
b)
86
c)
166
d)
156
132.
If ∠H and ∠J are complementary, and the measure of ∠H is 35°, what is the measure of ∠J?
a)
145
b)
55
c)
60
d)
65
133.
If ∠A and ∠B are supplementary, and the measure of ∠A is 120°, what is the measure of ∠B?
a)
180
b)
50
c)
60
d)
80
134.

Choose all answers that apply. Which of the following angles are supplementary?

a)

42 and 48

b)

12 and 78

c)

78 and 102

d)

38 and 142

135.
How are these angles related?
a)
Vertrical
b)
Complementary 
c)
Adjacent
d)
Supplementary 
136.

Choose all that apply: Which angle measurements below are supplementary to each other?

a)

144 and 36

b)

36 and 54

c)

40 and 50

d)

126 and 54

e)

21 and 159

137.

These angles are the same because they are ______________?

a)

Alternate Angles

b)

Corresponding Angles

c)

Vertically Opposite Angles

d)

Co-Interior Angles

138.

These angles add to 180o because they are ______________?

a)

Co-Interior Angles

b)

Corresponding Angles

c)

Alternate Angles

d)

Vertically Opposite Angles

139.

These angles are the same because they are ______________?

a)

Vertically Opposite Angles

b)

Alternate Angles

c)

Co-Interior Angles

d)

Corresponding Angles

140.

Calculate the missing angle.

a)

110º

b)

80º

c)

70º

d)

60º

141.

Calculate the missing angle.

a)

155º

b)

35º

c)

135º

d)

145º

142.

The angles are the same because they are _____________?

a)

Alternate Angles

b)

Corresponding Angles

c)

Co-Interior Angles

d)

Vertically Opposite Angles

143.

The angles are the same because they are _____________?

a)

Corresponding Angles

b)

Alternate Angles

c)

Vertically Opposite Angles

d)

Co-Interior Angles

144.

Calculate the missing angle.

a)

132º

b)

58º

c)

48º

d)

38º

145.

Calculate the missing angle.

a)

42º

b)

138º

c)

148º

d)

32º

146.

Calculate the missing angle.

a)

125º

b)

135º

c)

55º

d)

50º

147.

Calculate the missing angle.

a)

52º

b)

128º

c)

42º

d)

122º

148.

Calculate the missing angle.

a)

110º

b)

107º

c)

73º

d)

117º

149.

Calculate the missing angle.

a)

63º

b)

43º

c)

127º

d)

53º

150.

Calculate the missing angle.

a)

130º

b)

65º

c)

50º

d)

115º

151.
a)

56º

b)

146º

c)

34º

d)

124º

152.

Calculate the missing angle.

a)

38º

b)

97º

c)

83º

d)

132º

153.

Calculate the missing angle.

a)

106º

b)

116º

c)

65º

d)

115º

154.

Calculate the missing angle.

a)

46º

b)

140º

c)

40º

d)

134º

155.

Calculate the missing angle.

a)

62º

b)

100º

c)

80º

d)

118º

156.

Calculate the missing angle.

a)

111º

b)

69º

c)

65º

d)

115º