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Worksheets

Year 7 Maths

Total questions: 170

Worksheet time: 5hrs 47mins

Name
Class
Date
1.

∠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

2.

∠8\angle8  and  ∠6\angle6   are __.  

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

3.

∠3\angle3  and  ∠7\angle7  are ___.  

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

4.

∠3 \angle3\  and  ∠2\angle2   are ___.  

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

5.

∠7 \angle7\  and ∠5\angle5  are ___.  

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

6.

∠5\angle5  and ∠6\angle6  are ___.  

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

7.

∠1 \angle1\  and ∠4\angle4  are ___.  

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

8.

∠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

9.

Which of the angle pairs below is a pair of corresponding angles?  

a)

∠8\angle8  and  ∠6\angle6  

b)

∠2 \angle2\  and  ∠6\angle6  

c)

∠2 \angle2\  and  ∠3\angle3  

d)

∠8 \angle8\  and  ∠5\angle5  

10.

Which of the angle pairs below is a pair of same-side interior angles?  

a)

∠7 \angle7\  and  ∠6\angle6  

b)

∠2 \angle2\  and  ∠6\angle6  

c)

∠2 \angle2\  and  ∠4\angle4  

d)

∠8 \angle8\  and  ∠5\angle5  

11.

Which of the angle pairs below is a pair of alternate exterior angles?  

a)

∠7 \angle7\  and  ∠6\angle6  

b)

∠2 \angle2\  and  ∠6\angle6  

c)

∠2\angle2  and  ∠4\angle4  

d)

∠1 \angle1\  and  ∠5\angle5  

12.

Which of the angle pairs below is a pair of corresponding angles?  

a)

∠7\angle7  and  ∠5\angle5  

b)

∠2 \angle2\  and  ∠6\angle6  

c)

∠2 \angle2\  and  ∠8\angle8  

d)

∠1 \angle1\  and  ∠5\angle5  

13.

Which of the angle pairs below is a pair of alternate interior angles?  

a)

∠7 \angle7\  and  ∠5\angle5  

b)

∠3 \angle3\  and  ∠7\angle7  

c)

∠4\angle4  and  ∠8\angle8  

d)

∠1 \angle1\  and  ∠3\angle3  

14.

∠4\angle4  and ∠8\angle8  are ___.  

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

15.

∠1 \angle1\  and ∠5\angle5  are ___.  

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

16.

∠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

17.

∠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

18.

∠5\angle5 and ∠6\angle6 are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Vertical Angles

d)

Corresponding Angles

e)

Linear Pair

19.

Which of the angle pairs below are a linear pair?  

a)

∠7 \angle7\  and  ∠5\angle5  

b)

∠3 \angle3\  and  ∠6\angle6  

c)

∠4\angle4  and  ∠8\angle8  

d)

∠2\angle2  and  ∠3\angle3  

20.

Which of the angle pairs are vertical angles?  

a)

∠7 \angle7\  and  ∠5\angle5  

b)

∠3 \angle3\  and  ∠5\angle5  

c)

∠4\angle4  and  ∠8\angle8  

d)

∠2\angle2  and  ∠1\angle1  

21.
Find the measure of the indicated angle. 
a)
95
b)
85
c)
35
d)
45
22.
Find the measure of the missing angle.
a)
90o
b)
100
c)
130o
d)
50o
23.
In a triangle, how many total degrees are there?
a)
100%
b)
180 degrees
c)
it varies
d)
360 degrees
24.
Find the measure of angle b
a)
75 degrees
b)
20 degrees
c)
30 degrees
d)
55 degrees
25.

What is the measure of angle x?

a)

83

b)

114

c)

17

d)

31

26.

What is the measure of angle x?

a)

70

b)

160

c)

135

d)

20

27.

What is the measure of x?

a)

14

b)

156

c)

95

d)

109

28.
What type of angle is this? 
a)
acute
b)
obtuse
c)
right
d)
big
29.
Name this triangle
a)
A
b)
B
c)
C
d)
D
30.
Name this triangle
a)
Acute, Scalene
b)
Obtuse, Scalene
c)
Right, Isosceles
d)
Acute, Equilateral
31.
Which type of triangle is pictured?
a)
Equilateral Triangle
b)
Right Isosceles Triangle
c)
Obtuse Scalene Triangle
d)
Obtuse Equilateral Triangle
32.
Find the measure of the missing angle.
a)
90o
b)
100
c)
130o
d)
50o
33.
Find the measure of the indicated angle. 
a)
26
b)
36
c)
85
d)
144
34.
What type of angle is shown?
a)
acute
b)
obtuse
c)
right
d)
straight
35.
What type of angle is shown?
a)
acute
b)
obtuse
c)
right
d)
straight
36.
What type of angle is shown?
a)
acute
b)
obtuse
c)
right
d)
straight
37.
Find the value of x.
a)
18°
b)
28°
c)
38°
d)
118°
38.
Find the value of x.
a)
38°
b)
52°
c)
142°
d)
152°
39.
Find the missing angle.  Find x.
a)
15o
b)
50o
c)
130o
d)
165o
40.
Find the missing angle.  Find x.
a)
20o
b)
70o
c)
160o
d)
180o
41.
Find the measure of the indicated angle. (remember that the sum of interior angles is equal to 180 degrees)
a)
95
b)
85
c)
35
d)
45
42.
Classify by side length
a)
Acute
b)
Isosceles
c)
Right
d)
Equilateral
43.
Classify the following triangle in as many ways as possible. 
a)
Scalene, acute
b)
Isosceles, obtuse
c)
Equilateral, equiangular, acute
d)
Equilateral
44.

Fill in the missing number to form an equivalent fraction.

a)

2

b)

3

c)

4

d)

5

45.

Fill in the missing number to form an equivalent fraction.

a)

3

b)

5

c)

8

d)

10

46.

Fill in the missing number to form an equivalent fraction.

(a)  

47.

Fill in the missing number to form an equivalent fraction.

(a)  

48.

Fill in the missing number to form an equivalent fraction.

(a)  

49.

Fill in the missing number to form an equivalent fraction.

(a)  

50.

Fill in the missing number to form an equivalent fraction.

(a)  

51.

Fill in the missing number to form an equivalent fraction.

(a)  

52.

Fill in the missing number to form an equivalent fraction.

(a)  

53.

Fill in the missing number to form an equivalent fraction.

(a)  

54.

Fill in the missing number to form an equivalent fraction.

(a)  

55.

Fill in the missing number to form an equivalent fraction.

(a)  

56.

Fill in the missing number to form an equivalent fraction.

(a)  

57.

Which fraction is equivalent to the fraction 13\frac{1}{3}  ?

a)

23\frac{2}{3}  

b)

36\frac{3}{6}  

c)

39\frac{3}{9}  

58.

Which fraction is equivalent to the fraction 14\frac{1}{4}  ?

a)

48\frac{4}{8}  

b)

28\frac{2}{8}  

c)

35\frac{3}{5}  

59.

Which fraction is equivalent to the fraction 12\frac{1}{2}  ?

a)

510\frac{5}{10}  

b)

35\frac{3}{5}  

c)

312\frac{3}{12}  

60.

Which fraction is equivalent to the fraction 23\frac{2}{3}  ?

a)

49\frac{4}{9}  

b)

69\frac{6}{9}  

c)

1012\frac{10}{12}  

61.

What fraction of the figure is shaded?

a)

18\frac{1}{8}  

b)

17\frac{1}{7}  

c)

68\frac{6}{8}  

d)

34\frac{3}{4}  

62.

What fraction of the figure is shaded?

a)

14\frac{1}{4}

b)

17\frac{1}{7}

c)

68\frac{6}{8}

d)

34\frac{3}{4}

63.

What fraction of the figure is shaded?

a)

14\frac{1}{4}

b)

15\frac{1}{5}

c)

35\frac{3}{5}

d)

34\frac{3}{4}

64.

What fraction of the figure is shaded?

a)

45\frac{4}{5}

b)

15\frac{1}{5}

c)

35\frac{3}{5}

d)

25\frac{2}{5}

65.

What fraction of the figure is shaded?

a)

45\frac{4}{5}

b)

14\frac{1}{4}

c)

34\frac{3}{4}

d)

24\frac{2}{4}

66.

What fraction of the figure is shaded?

a)

45\frac{4}{5}

b)

14\frac{1}{4}

c)

34\frac{3}{4}

d)

15\frac{1}{5}

67.

What fraction of the figure is shaded?

a)

45\frac{4}{5}

b)

14\frac{1}{4}

c)

24\frac{2}{4}

d)

12\frac{1}{2}

68.

What fraction of the figure is shaded?

a)

68\frac{6}{8}

b)

28\frac{2}{8}

c)

24\frac{2}{4}

d)

12\frac{1}{2}

69.

What fraction of the figure is shaded?

a)

15\frac{1}{5}

b)

28\frac{2}{8}

c)

45\frac{4}{5}

d)

12\frac{1}{2}

70.

What fraction of the figure is shaded?

a)

68\frac{6}{8}

b)

28\frac{2}{8}

c)

45\frac{4}{5}

d)

12\frac{1}{2}

71.
The ____________ is the bottom number of a fraction.
a)
numerator
b)
denominator
c)
dividend
d)
product
72.
If you color in 2 more slices what is the fraction?
a)
3/8
b)
6/8
c)
5/8
d)
5/9
73.
What fraction of the rectangle is SHADED?
a)
⅔
b)
¾
c)
¼
74.
What fraction of the circle is NOT shaded?
a)
⅓
b)
⅔
c)
¼
75.
What fraction of the rectangle is SHADED?
a)
1/10
b)
10/1
c)
9/10
76.
What fraction of the circle is SHADED?
a)
⅙
b)
⅚
c)
¼
77.
In this fraction what number would be the denominator? 
a)
5
b)
1
c)
6
d)
none
78.
In this shape what fraction would be the numerator? 
a)
5
b)
3
c)
8
d)
none
79.
Which fraction equals 1 whole?
a)
8/8
b)
4/5
c)
3/14
d)
none
80.
This fraction is divided into how many equal parts? 
a)
3 parts
b)
4 parts
c)
No equal parts
d)
2 parts
81.
What fraction of oranges are shown in the model?
a)
6/10
b)
6/16
c)
6/6
d)
6/12
82.
Which fraction of cherries are shown in the model?
a)
4/4
b)
4/5
c)
5/5
d)
4/9
83.

What is the fraction of the shaded area?

a)

1/8

b)

3/8

c)

1/4

84.

The number in a fraction that names the total parts in a whole. (The number on the bottom.)

a)

numerator

b)

denominator

c)

whole

d)

unit fraction

85.

What is the fraction of the shades area?

a)

three fourths

b)

one fourths

c)

one fourth

d)

two fourths

86.

What is the fraction of the shades area?

a)


34\frac{3}{4}

b)

14\frac{1}{4}

c)

23\frac{2}{3}

d)

43\frac{4}{3}

87.
3/5 is equivalent to what fraction?
a)
1/2
b)
9/15
c)
6/15
d)
3/50
88.
8/16 can be simplified to:
a)
4/16
b)
1/3
c)
1/2
d)
None
89.
Which pair are equivalent?
a)
10/100 & 10/1000
b)
4/7 & 12/21
c)
12/21 & 24/44
90.
Are 1/4 and 5/20 equivalent?
a)
Yes
b)
No
c)
Sometimes
91.
What is 33/300 simplified?
a)
It cannot be simplified
b)
3/30
c)
11/100
d)
33/30
92.
What fraction is equivalent to 45/50
a)
6/8
b)
4/5
c)
9/10
d)
5/15
93.
What fraction is equivalent to 2/3?
a)
4/6
b)
10/15
c)
20/30
d)
All are equivalent
94.
Which fraction is not equivalent to 1/2
a)
10/20
b)
12/24
c)
30/60
d)
44/84
95.
What is 10/100 simplified?
a)
1/1
b)
1/1000
c)
10/1000
d)
1/10
96.
Out of a class of 25 students, 14 students are girls, how many boys are in the classroom?
a)
12/25
b)
14/25
c)
11/25
d)
13/25
97.
simplify 9/36
a)
1/4
b)
3/12
c)
4/12
98.
simplify 2/8
a)
1/4
b)
1/2
c)
1/8
d)
2/8
99.
Is 16/53 in simplest form? 
a)
yes
b)
no
100.
Reduce:  6/15
a)
2/5
b)
3/5
c)
4/9
101.
To put a fraction in simplest form, you will need to do this to the numerator and denominator
a)
subtract both by same number
b)
divide both by the same number
c)
add the same number to both
d)
multiply both by the same number
102.
simplify   10/50
a)
2/10
b)
1/50
c)
5/25
d)
1/5
103.

If possible, simplify the following fraction 721\frac{7}{21}  

a)

48\frac{4}{8}  

b)

13\frac{1}{3}  

c)

12\frac{1}{2}  

d)

This fraction is already in simpliest form.

104.

If possible, simplify the following fraction 624\frac{6}{24}  

a)

312\frac{3}{12}  

b)

13\frac{1}{3}  

c)

14\frac{1}{4}  

d)

This fraction is already in simpiliest form.

105.

If possible, simplify the following fraction 1218\frac{12}{18}  

a)

23\frac{2}{3}  

b)

46\frac{4}{6}  

c)

12\frac{1}{2}  

d)

This fraction is already in simplest form.

106.

If possible, simplify the following fraction. 1520\frac{15}{20}  

a)

12\frac{1}{2}  

b)

34\frac{3}{4}  

c)

45\frac{4}{5}  

d)

This fraction is already in simplest form.

107.

If possible, simplify the following fraction 916\frac{9}{16}  

a)

12\frac{1}{2}  

b)

35\frac{3}{5}  

c)

45\frac{4}{5}  

d)

This fraction is already in simplest form.

108.

If possible simplify the following fraction 924\frac{9}{24}  

a)

28\frac{2}{8}  

b)

14\frac{1}{4}  

c)

38\frac{3}{8}  

d)

This fraction is already in simplest form.

109.

If possible, simplify the following fraction 732\frac{7}{32}  

a)

14\frac{1}{4}  

b)

28\frac{2}{8}  

c)

16\frac{1}{6}  

d)

This fraction is already in simplest form.

110.

If possible, simplify the following fraction 915\frac{9}{15}  

a)

23\frac{2}{3}  

b)

25\frac{2}{5}  

c)

35\frac{3}{5}  

d)

This fraction is already in simplest form.

111.

If possible, simplify the following fraction 1232\frac{12}{32}  

a)

38\frac{3}{8}  

b)

27\frac{2}{7}  

c)

26\frac{2}{6}  

d)

This fraction is already in simplest form.

112.

If possible, simplify the following fraction 1230\frac{12}{30}  

a)

12\frac{1}{2}  

b)

13\frac{1}{3}  

c)

25\frac{2}{5}  

d)

This fraction is already in simplest form.

113.
a)
5/4
b)
4/5
c)
11/4
d)
4/11
114.
a)
21/4
b)
9/4
c)
4/9
d)
2/4
115.
a)
5/22
b)
12/2
c)
4/12
d)
12/5
116.
a)
37/2
b)
52/7
c)
7/37
d)
37/7
117.
a)
11/2
b)
21/1
c)
21/2
d)
20/2
118.
Convert into an improper fraction.
a)
28/7
b)
29/4
c)
29/7
d)
7/1
119.
Change to an improper fraction.
a)
24/4
b)
35/4
c)
11/3
d)
28/3
120.
Change to an improper fraction.
a)
24/5
b)
10/5
c)
30/5
d)
34/5
121.
Convert the mixed fraction to a improper fraction.
a)
27 /7
b)
21 /7
c)
31 /7
d)
41/7
122.

Which statement about Mixed Numbers is true?

a)

A mixed number has a whole number and a fraction in it.

b)

Mixed numbers are always greater than 1.

c)

All of these statements are true!

123.

Change this mixed fraction into an improper fraction.

a)

5/4

b)

4/5

c)

11/4

d)

4/11

124.

Change this mixed fraction into an improper fraction.

a)

21/4

b)

9/4

c)

4/9

d)

2/4

125.

Change this mixed fraction into an improper fraction.

a)

24/4

b)

35/4

c)

11/3

d)

28/3

126.
a)
35/9
b)
36/9
c)
24/8
d)
27/9
127.
a)
1/15
b)
15/15
c)
16/15
d)
2/15
128.
Answer in simplest form.
1/6 + 1/6
a)
1/12
b)
2/12
c)
2/6
d)
1/3
129.
Answer in simplest form.
5/8 + 3/8
a)
1
b)
8/8
c)
2/8
d)
1/4
130.
Answer in simplest form.
5/12 + 4/12
a)
1/12
b)
9/12
c)
0
d)
3/4
131.
Answer in simplest form.
2/10 + 5/10
a)
3/10
b)
7/10
c)
17/20
d)
9/10
132.
Answer in simplest form.
3/6 - 1/6
a)
2/6
b)
4/6
c)
2/3
d)
1/3
133.
Answer in simplest form.
5/9- 2/9
a)
1/3
b)
6/9
c)
3/9
d)
2/3
134.
Answer in simplest form.
6/8- 4/8
a)
10/8
b)
4/8
c)
1/4
d)
1 and 1/4
135.
Answer in simplest form.
9/12- 3/12
a)
1
b)
1/2
c)
12/12
d)
6/12
136.
Answer in simplest form.
Terri painted 5/12 of a fence. Rey painted 4/12 of the fence. How much of the fence did they paint altogether?
a)
9/12
b)
1/2
c)
1/3
d)
3/4
137.
Answer in simplest form.
Chris spent 5/6 hour drawing and 2/6 hour reading. How much more time did he spend drawing than reading?
a)
1
b)
1/2
c)
7/6
d)
3/6
138.

Like fractions are fractions that have the same ______________________.

a)

fractions

b)

denominators

c)

numerator

d)

numbers

139.
6/10 - 5/10
a)
1/10
b)
1/20
140.
The top number is called the ___________.
a)
denominator
b)
numerator
141.
The bottom number is called the __________.
a)
numerator
b)
denominator
142.
Mr. Smith buys 5/8 pound of red grapes and 2/8 pound green grapes. How many pounds did Mr. Smith buy?
a)
7/8 pound
b)
3/8 pound
143.
one half plus one half
a)
one whole
b)
1/2
144.
1/5 + 1/5 + 1/5 
a)
2/5
b)
1/5
c)
3/5
145.
17/20 - 6/20
a)
11
b)
23/20
c)
11/20
d)
11/0
146.
Jim lives 3/8 of a mile from school and walks every day. How far does he walk to and from school in one day?
a)
3/8 mile
b)
5/8 mile
c)
6/8 mile
d)
Can't solve
147.
There was 7/8 of a yard of fabric left and Lisa used 6/8 of it on her Halloween costume. How much fabric is left?
a)
1/8 yard
b)
13/8 yards
c)
2/8 yard
d)
Not enough information
148.
Add and simplify completely:           3/24 + 15/24
a)
17/24
b)
9/12
c)
18/24
d)
3/4
149.
2/12 + 3/12
a)
5/12
b)
5/24
c)
6/12
d)
6/144
150.
3/9 + 4/9
a)
7/18
b)
7/9
c)
12/9
d)
12/81
151.
4/5 - 1/5
a)
5/5
b)
4/1
c)
3/0
d)
3/5
152.
Add 2/7 + 3/7= ?
a)
4/7
b)
5/7
c)
5/14
153.
2/3 - 1/3
a)
1/3
b)
2/1
c)
2/0
d)
1/9
154.
You love chocolate, hopefully. You get 12/24 of a bag of chocolates, give away all, then gain back 5/24. Finally, you get back 10/24 more. How many chocolates do you have now?
a)
1/3
b)
15/24
c)
15/24 chocolates
d)
5/6
155.
Caleb F. mowed 5/14 of the yard.  His brother mowed 3/14 of the yard.  How much of the yard still needs to be mowed?
a)
8/14
b)
2/14
c)
6/14
d)
None of the above
156.
Answer in simplest form.
5/9- 2/9
a)
1/3
b)
6/9
c)
3/9
d)
2/3
157.
Answer in simplest form.
6/8- 4/8
a)
10/8
b)
4/8
c)
1/4
d)
1 and 1/4
158.
Answer in simplest form.
Terri painted 5/12 of a fence. Rey painted 4/12 of the fence. How much of the fence did they paint altogether?
a)
9/12
b)
1/2
c)
1/3
d)
3/4
159.
Answer in simplest form.
Chris spent 5/6 hour drawing and 2/6 hour reading. How much more time did he spend drawing than reading?
a)
1
b)
1/2
c)
7/6
d)
3/6
160.

Kayla has 3/9 of a pizza and Lille gave her 2/9 of a pizza. How much pizza does Kayla have now?

a)

5

b)

5/9

c)

1/9

d)

6/9

161.
What number could be a common denominator for these two fractions?
1/5   and   5/6?
a)
30
b)
11
c)
6
d)
5
162.
Fill in the blank in order to create an equivalent fraction.
1/2 = __ /8
a)
2
b)
4
c)
6
d)
8
163.
What must you have to add and subtract fractions?
a)
Common numerators
b)
Different numerators
c)
Different denominators
d)
Common denominators
164.
Aden is helping his dad paint his house. They mixed 5/9 gallons of white paint and 1/6 gallons of blue paint. How many gallons was the mixture in all?
a)
6/18 gallons
b)
13/18 gallons
c)
4/5 gallons
d)
1/6 gallons
165.
What number could be a common denominator for these three fractions?
1/2   and   1/3   and   1/4
a)
9
b)
8
c)
12
d)
6
166.
(-4 11/20) + 3 3/10
a)
-7 4/5
b)
-1 ¼
c)
7 4/5
d)
other
167.

5/7 + (-9/7)

a)

-4/7

b)

-7/4

c)

4/7

d)

-7/4

168.

11/6 - (-7/6)

a)

-3

b)

1/3

c)

-1/3

d)

3

169.

-2/7 + (-2/3)

a)

-21/20

b)

21/20

c)

20/21

d)

-20/21

170.

2/5 + (-4/3)

a)

15/14

b)

-14/15

c)

-15/14

d)

14/15

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