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Worksheets

Pearlspedia Math Year 7

Total questions: 224

Worksheet time: 4hrs 5mins

Name
Class
Date
1.
GCF of 28 and 40
a)
2
b)
4
c)
7
d)
8
2.

Which answer lists all the factors for 40?

a)

1,2,4,5,8,12,14,40

b)

1,2,3,4,5,8,10

c)

1,2,4,5,8,10,20,40

d)

1,2,4,5,6,7,8,9,10

3.
GCF of 28 and 40
a)
2
b)
4
c)
7
d)
8
4.

Which answer lists all the factors for 40?

a)

1,2,4,5,8,12,14,40

b)

1,2,3,4,5,8,10

c)

1,2,4,5,8,10,20,40

d)

1,2,4,5,6,7,8,9,10

5.

Factors of 28 are 1, 2, 4, 7, 14, and 28. Factors of 92 are 1, 2, 4, 23, 46, and 92. The Highest Common Factor (HCF) of 28 and 92 is ....

a)

2

b)

4

c)

7

d)

23

6.
51 is a _____________ of 3
a)
Factor 
b)
Multiple
7.

Mother made 25 cheese cakes and 50 banana cakes. She placed then on serving platters, each with the same number of cheese cakes and banana cakes. Which of the following statements is correct?

a)

She served 25 platters, each with 2 cheese cakes.

b)

She served 25 platters, each with 3 banana cakes.

c)

She served 25 platters, each with 2 banana cakes.

d)

She served 25 platters, each with 3 cheese cakes.

8.

Which of the following numbers is not composite?

a)

24

b)

40

c)

66

d)

61

9.

John makes 72 doughnuts and 81 cupcakes. He will put then in delivery boxes. He wants to put the same number of doughnuts and cupcakes in each box. How many boxes will he need?

a)

3

b)

8

c)

9

d)

17

10.
Find the HCF of 30 and 36
a)
2
b)
3
c)
4
d)
6
11.

Find the HCF for 18, 36, and 81

a)

3

b)

2

c)

6

d)

9

12.
GCF of 99 and 54
a)
9
b)
3
c)
6
d)
8
13.

What is the GCF of 18 and 24?

a)

3

b)

6

c)

8

d)

9

14.
What is the GCF of 4 and 12?
a)
3
b)
1
c)
6
d)
4
15.
What is the greatest factor of 28 and 49?
a)
1
b)
2
c)
7
d)
12
16.
GCF of 99 and 54
a)
9
b)
3
c)
6
d)
8
17.
Jane has 18 juice boxes, 24 bags of peanuts and 36 apples.  She wants to make snack bags with the same number of each thing in each bag.  What is the greatest number of snack bags Jane can make.
a)
4
b)
6
c)
8
d)
10
18.
Peter has 18 oranges, 27 pears and 12 bananas. He wants to make fruit baskets with the same number of each fruit in each basket. What is the greatest number of fruit baskets he can make?
a)
1
b)
2
c)
3
d)
4
19.
What is the GCF of 20, 44, and 88?
a)
4
b)
2
c)
22
d)
1
20.
What is the GCF of 72, 96, and 84?
a)
2
b)
7
c)
12
d)
4
21.
Find the GCF of 64 and 144
a)
8
b)
6
c)
16
d)
2
22.
What is the LCM?
a)
The LCM is the least common factor that both numbers share the least. 
b)
The LCM is a multiple that both numbers share the most.  
c)
The LCM is a multiple that both numbers share the least. 
d)
The LCM is a factor that both numbers share the least. 
23.
Henry and Margo both began traveling around a circular track. Henry is riding his bike, and Margo is walking. It takes Henry 7 minutes to make it all the way around, and Margo takes 12 minutes. How much time will pass until they meet at the starting line?
a)
84 minutes
b)
48 minutes
c)
854 minutes
d)
78 minutes
24.
Find the Least Common Multiple of 9 and 6
a)
18
b)
36
c)
38
d)
72
25.

Identify all the multiples of 8....

a)

42

b)

56

c)

72

d)

96

e)

30

26.

What is the LCM of 3 and 9?

a)

27

b)

18

c)

36

d)

9

27.

Milo has listed the first 4 multiples of 7 as:

7 14 22 28

Which one is incorrect?

a)

7

b)

14

c)

22

d)

28

28.

You are watching a parade and observe cars going by in groups of 4 blue cars and 6 green cars at a time. If you observe the same number of blue and green cars, what is the smallest number of each car you could have observed?

a)

2 cars

b)

12 cars

c)

24 cars

d)

8 cars

29.

Two students were asked to find the LCM of 6 and 8. Student A said that the LCM of 6 and 8 is 48. Student B said that the LCM of 6 and 8 is 24. Student C said that the LCM of 6 and 8 is 72. Which student is correct?

a)

Student A is correct because in order to find the LCM of two numbers you must multiply both numbers together.

b)

Student B is correct because in order to find the LCM of two numbers you must find the smallest common multiple of two numbers.

c)

Student C is correct because in order to find the LCM of two numbers you must find the LCM of two numbers you must select the third common multiple of both numbers.

d)

None of the students are correct.

30.

The L.CM. of 2 and 12 is

(a)  

31.

Multiples that are shared by two or more numbers are

(a)  

32.

Is this statement always, sometimes, or never true? The LCM of two numbers is the product of the two numbers.

a)

Always

b)

Sometimes

c)

Never True

33.

Rate your understanding of the lesson target. Lesson target: Find the least common multiple of two numbers.

a)

I can do this ! I'm ready to move on or explain to a friend.

b)

I'm almost there! I may need more practice or help.

c)

I don't understand. I need more work or help on this.

34.
-5 - (- 3)
a)
-8
b)
8
c)
-2
d)
15
35.
6 - (-4)
a)
10
b)
2
c)
-2
d)
-10
36.
-18 +(-6)
a)
3
b)
-3
c)
-12
d)
-24
37.
-2 + (-8)
a)
-6
b)
6
c)
-10
d)
10
38.
-9 - 5
a)
-14
b)
4
c)
-4
d)
45
39.
-3 +(- 2)
a)
-1
b)
5
c)
-5
d)
-6
40.
-4 - 2
a)
6
b)
-2
c)
-8
d)
-6
41.
8 - (-5)
a)
1
b)
-15
c)
13
d)
15
42.
12 - (-12)
a)
24
b)
-24
c)
0
d)
-144
43.
2 - 4
a)
2
b)
-8
c)
6
d)
-2
44.
-8 - (-6)
a)
2
b)
14
c)
-2
d)
-14
45.
(-4)(-5)
a)
-9
b)
-20
c)
9
d)
20
46.
3 - (-8)
a)
11
b)
-11
c)
5
d)
-5
47.
-32/8
a)
-4
b)
-5
c)
4
d)
24
48.
-2 + (-5)
a)
-3
b)
3
c)
-7
d)
7
49.

(25) + (-26)

(a)  

50.

(-4) + (-9)

(a)  

51.

18 + (-4)

(a)  

52.

32 + 9

(a)  

53.

(-9) - 9

(a)  

54.

(-14) - (-17)

(a)  

55.

13 - (-13)

(a)  

56.

15 + (-15)

(a)  

57.


54÷(6)54\div\left(-6\right)  



(a)  

58.

72÷972\div9  

(a)  

59.

(81)÷(3)\left(-81\right)\div\left(-3\right)  

(a)  

60.

(7)×(6)\left(-7\right)\times\left(-6\right)  

(a)  

61.

(7)×(12)\left(7\right)\times\left(12\right)  

(a)  

62.

(8)×13\left(-8\right)\times13  

(a)  

63.

(-13) - (-13)

(a)  

64.

(11)2\left(-11\right)^2  

(a)  

65.

(9)2\left(9\right)^2  

(a)  

66.

56×(7)5-6\times\left(-7\right)  

(a)  

67.

(4)(8)÷2\left(-4\right)-\left(-8\right)\div2  

(a)  

68.

Use BIDMAS 8+(8)×(7)8+\left(-8\right)\times\left(-7\right)  

(a)  

69.
When multiplying or dividing a NEGATIVE and a POSITIVE number, your result will be...
a)
Positive
b)
Negative
c)
The sign of the larger absolute value
d)
The sign of the smaller absolute value
70.
Which of the following has a negative product?
a)
-7 ⋅ (-9)
b)
6(-2)(-11)
c)
8 × 5
d)
-4(12)
71.
Desmond's monthly Netflix subscription costs $10.  If he charges it to his credit card each month for 5 months without making any payments, what will his debt be?
a)
-$14
b)
-$2
c)
-$45
d)
-$50
72.
Ty entered the elevator on the 10th floor. He rode up 3 floors, down 7 floors, up 2 floors, down 5 floors and up 6 floors, where he got off. On what floor did Ty get off the elevator?
a)
6th floor
b)
7th floor
c)
8th floor
d)
9th floor
73.
How would -9 -(-5) look like as an addition problem?
a)
-9 + (-5)
b)
9 + 5
c)
-9 + 5
d)
9 + (-5)
74.
5 - 2
a)
7
b)
3
c)
-3
d)
-7
75.
-3 - 2
a)
-1
b)
-5
c)
1
d)
6
76.
19 - (-19)
a)
0
b)
36
c)
26
d)
38
77.
-5 - (- 3)
a)
-8
b)
8
c)
-2
d)
15
78.
-8 - (-6)
a)
2
b)
14
c)
-2
d)
-14
79.
3 - (-8)
a)
11
b)
-11
c)
5
d)
-5
80.
-32/8
a)
-4
b)
-5
c)
4
d)
24
81.

-14/7

a)

2

b)

-2

c)

7

d)

-7

82.

-16/8

a)

-2

b)

8

c)

-8

d)

2

83.

-45/-9

a)

-5

b)

8

c)

5

d)

-8

84.
-12 • -5 =
a)
-55
b)
55
c)
60
d)
-60
85.
-9 • 3 =
a)
-27
b)
27
c)
-28
86.
2 • -8 =
a)
-15
b)
15
c)
-16
d)
16
87.
6 • 8 =
a)
48
b)
-48
c)
14
88.

I am confident when working with integers.

a)

Very Confident

b)

Confident

c)

Somewhat Confident

d)

Not Confident

89.
-15 - 3
a)
12
b)
-12
c)
-18
d)
18
90.

-2 + 4

a)

-2

b)

2

c)

0

d)

-4

91.
3 + -7
a)
10
b)
4
c)
-10
d)
-4
92.
-9 + (-5)
a)
-14
b)
14
c)
-4
93.

10 + (-4) = ?

a)

-6

b)

6

c)

14

d)

-14

94.
-7 - 2
a)
-9
b)
9
c)
5
d)
-5
95.
-8 - (-4) =
a)
12
b)
-12
c)
4
d)
-4
96.
5-19
a)
14
b)
24
c)
-14
d)
-24
97.
-2 - (-10) = ?
a)
-12
b)
12
c)
8
d)
-8
98.
0 - 5 
a)
-5
b)
5
c)
0
d)
10
99.
The temperature changed from 3 degrees below zero at midnight to 7 degrees below zero at 2 a.m. How much did the temperature decrease?
a)
5 degrees
b)
4 degrees
c)
10 degrees
d)
it stayed the same
100.
0 + (-100)
a)
100
b)
-100
c)
0
d)
200
101.
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
102.
80 + (-8)
a)
88
b)
-88
c)
72
d)
-72
103.
-19 - (-10) 
a)
29
b)
-29
c)
-9
d)
9
104.
35 - (-35) 
a)
0
b)
-70
c)
70
d)
1
105.
The temperature at 6:00 was 9 degrees below zero.  The temperature dropped to 11 degrees below zero at 8:00. What is the difference between temperatures? 
a)
18 degrees
b)
20 degrees
c)
2 degrees
d)
0 degrees
106.
-90 - 0
a)
90
b)
0
c)
-90
d)
10
107.
The absolute value of 79 is 79.
a)
False 
b)
True
108.
The absolute value of a number is...
a)
Always negative
b)
Always positive
c)
the opposite of the number
d)
zero
109.
The absolute value of a number is the distance from zero to the number.
a)
True
b)
False
110.
Which of the following signs represents the absolute value?
a)
|   a   |
b)
a*
c)
a!
d)
√a
111.
The absolute value of |3| is 0.
a)
True
b)
False
112.
What is the absolute value of | –3 |
a)
3
b)
-3
c)
0.30
d)
30
113.
What is the absolute value of  | 5 |
a)
5
b)
-5
c)
0
d)
0.5
114.
What is the absolute value of |572|.
a)
275
b)
-572
c)
57
d)
572
115.
Which has the smallest absolute value?
a)
0
b)
-1
c)
-2
d)
-8
116.
Which has the greatest absolute value?
a)
-33
b)
-31
c)
-28
d)
-17
117.
An integer is...
a)
A whole number that can be positive, negative, or zero
b)
A number and its opposite
c)
All positive and negative numbers
d)
a number that is fractions, decimals, or whole
118.
What is the absolute value of |-26|.
a)
26
b)
-26
c)
0
d)
-20
119.
Which answer has the integers in order from least to greatest?
a)
− 9,   -5,  -3, 0,  4,  3
b)
− 9,   -5,  -3, 0,  3,  4
c)
− 5,   -9,  -3, 0,  4,  3
d)
 3, 4, 0, -3, -5, -9
120.
-6-2
a)
-8
b)
-4
c)
8
d)
4
121.
-3-9
a)
-12
b)
-6
c)
12
d)
6
122.
-7-7
a)
-49
b)
0
c)
14
d)
-14
123.
-15 - 3
a)
12
b)
-12
c)
-18
d)
18
124.
-7 - 2
a)
-9
b)
9
c)
5
d)
-5
125.
-8 - (-4) =
a)
12
b)
-12
c)
4
d)
-4
126.
-19 - (-10) 
a)
29
b)
-29
c)
-9
d)
9
127.
-39 / -13
a)
-3
b)
3
c)
-6
d)
6
128.
5 - 15
a)
-5
b)
-15
c)
-10
d)
10
129.
44/-4=
a)
11
b)
-8
c)
-11
d)
-1/11
130.
-8(0)=
a)
-8
b)
8
c)
0
d)
-80
131.
-10(4)
a)
40
b)
-14
c)
-40
d)
14
132.
-8 - (-4) =
a)
12
b)
-12
c)
4
d)
-4
133.
56 ÷ (-7)
a)
-8
b)
-9
c)
8
d)
7
134.
5 - (-2)
a)
-3
b)
3
c)
7
d)
2
135.
-30/-10=
a)
-30
b)
-3
c)
3
d)
30
136.
-3 x -4=
a)
-12
b)
c)
-7
d)
12
137.
-2 - (-10) = ?
a)
-12
b)
12
c)
8
d)
-8
138.
(-3)(-7)
a)
4
b)
-4
c)
21
d)
-21
139.
35 - (-35) 
a)
0
b)
-70
c)
70
d)
1
140.
22 = _____
a)
2
b)
6
c)
4
d)
16
141.
121 = ______
a)
112
b)
12
c)
11
d)
112
142.
132 = ______
a)
225
b)
196
c)
169
d)
166
143.
256 = ______
a)
163
b)
162
c)
16
d)
15
144.
192 = _____
a)
400
b)
360
c)
324
d)
361
145.
a)
√32, √324, √101, √44
b)
√64, √121, √324, √361
c)
√64, √324, √361, √44
d)
√32, √44, √101, √64
146.
a)
√81 = 9
b)
9 ÷ 9 = 1
c)
9 × 2 = 18
d)
√9 = 3
147.
√196 = ______
a)
14
b)
142
c)
15
d)
152
148.
Which number is the square root of 324?
a)
182
b)
18
c)
√18
d)
18/2
149.
a)
√x = 7
b)
x2 = 7
c)
492 = x
d)
√49 = x
150.
a)
252 = x
b)
x2 = 5
c)
x2 = 25
d)
√25 = x2
151.
Which number is closest to the approximate value of √380?
a)
18.5
b)
19
c)
19.5
d)
20
152.

Mrs. Hiltz and Ms. Weber decide to host a lemonade stand. The table they use has side lengths of 5 feet. What is the area of their table?

a)

25 feet

b)

25 square inches

c)

5 ft2

d)

25 square feet

153.

Mr. Sansonetti wants to buy the iPod shuffle. If the area of the iPod was 9 cm2, how long was the side of the iPod shuffle?

a)

3 cm

b)

9 cm

c)

3 in

d)

4 cm

154.

The area of the square pool on Mr. Carr's vacation was 256 ft2. How long was one side of the pool?

a)

17 ft

b)

18 ft

c)

16 ft

d)

15 ft

155.

Mr. Jarowski is hanging a square picture frame that has ab area of 169 cm2. Find the side length of the frame.

a)

12 cm

b)

13 cm

c)

13 in

d)

16 cm

156.

12=21^2=2  

a)

TRUE

b)

FALSE

157.

25=x2\sqrt{25}=\sqrt{x^2}  
What is the answer for x?

a)

5

b)

10

c)

25

158.

Choose 3 numbers of perfect square

a)

1

b)

9

c)

26

d)

64

e)

112

159.

132=16913^2=169  

a)

TRUE

b)

FALSE

160.

6425=y5\sqrt{\frac{64}{25}}=\frac{y}{5}  
What is y?

a)

4

b)

8

161.

(14)2=\left(\frac{1}{4}\right)^2=  

a)

18\frac{1}{8}  

b)

116\frac{1}{16}  

162.

Which of the following is TRUE? (Choose 2)

a)

1 is the number of perfect square

b)

32=63^2=6

c)

92=9\sqrt{9^2}=9

d)

Square root of 4 is 16

163.

1, 4, 9, 16, 25, x, 49, 64....

What is x?

a)

27

b)

31

c)

36

d)

41

164.

(113)2=(p3)2\left(1\frac{1}{3}\right)^2=\left(\frac{p}{3}\right)^2  
What is the best answer for p?

a)

1

b)

3

c)

4

165.

What is the area of a 3 cm square?

a)

6cm26cm^2

b)

9cm29cm^2

166.

25\sqrt{25}  

a)

4

b)

5

c)

625

d)

50

167.

What is a perfect square?

a)

A number divided by 4

b)

A number multiplied by itself

c)

A number multiplied by 2

168.

What is the square root of 64?

a)

32

b)

128

c)

8

d)

16

169.

What is 92?

a)

18

b)

7

c)

11

d)

81

170.

What is the formula for area?

(a)  

171.

If Lucy's square garden has a total perimeter of 12ft, how big is the inside (area) part of the garden?

a)

9ft2

b)

3ft2

c)

36ft2

d)

12ft2

172.

What is 14x14?

a)

100

b)

269

c)

196

d)

144

173.

144\sqrt{144}  

a)

12

b)

100

c)

11

d)

13

174.

36\sqrt{36}  

a)

3

b)

6

c)

7

d)

18

175.

81\sqrt{81}  

a)

40.5

b)

7

c)

9

d)

8

176.

4x4

a)

16

b)

8

c)

3

d)

1

177.

400\sqrt{400}  

a)

20

b)

100

c)

4

d)

3

178.

What is 52?

a)

10

b)

3

c)

25

d)

7

179.

What is the symbol called for the Square Root?

a)

Radical

b)

Roof

c)

Line

d)

Check mark

180.

All sides of a square are (a)  

181.

You divide the area by 2 to figure out the side of a square.

a)

True

b)

False

182.

102

a)

20

b)

100

c)

8

d)

12

183.

Tucker wants to figure out how big a room is so that he can decide how many tables can fit. He gets a tape measure out and measure the length and the width of the room. Afterwards, he realizes that the length and width are the same number, which means the room is a square. If the number was 11ft, what is the area of the room?

a)

121ft2

b)

22ft2

c)

119ft2

184.

What is the square root of 9?

a)

3

b)

18

c)

7

d)

11

185.

What is 6x6?

a)

26

b)

36

c)

12

d)

1

186.



(a)  

187.



(a)  

188.



(a)  

189.



(a)  

190.



(a)  

191.



(a)  

192.

33=

(a)  

193.

53=

(a)  

194.

23=

(a)  

195.

43=

(a)  

196.

13=

(a)  

197.

103=

(a)  

198.

What is 18³ ?

(a)  

199.

What is 15³ ?

(a)  

200.

What is 6³ ?

(a)  

201.

What is 14³ ?

(a)  

202.

What is 8³ ?

(a)  

203.

What is 2³ ?

(a)  

204.

What is 12³ ?

(a)  

205.

What is 17³ ?

(a)  

206.

What is 19³ ?

(a)  

207.

What is 4³ ?

(a)  

208.

What is ∛27 ?

(a)  

209.

What is ∛4,096 ?

(a)  

210.

What is ∛343 ?

(a)  

211.

What is ∛125 ?

(a)  

212.

What is ∛1 ?

(a)  

213.

What is ∛1,000 ?

(a)  

214.

What is ∛2,197 ?

(a)  

215.

What is ∛1,331 ?

(a)  

216.

What is ∛8,000 ?

(a)  

217.

What is ∛729 ?

(a)  

218.

Using x for the mystery number, Write expression for

21 less than the number

a)

21+x

b)

21-x

c)

x-21

219.

Using x for the mystery number, Write an expression for

the number subtracted from 50

a)

50-x

b)

x-50

c)

50+x

220.

Using x for the mystery number, Write an expression for

the number with 8 added

a)

x+8

b)

8-x

c)

x-8

221.

y added to x

a)

x+y

b)

y-x

c)

x-y

222.

6 more than 3 times a

a)

6- 3a

b)

6+ 3a

c)

3a-6

223.

half b

a)

b/2

b)

b+2

c)

b-2

224.

Using x for the mystery number, Write an expression for

3 more than the number

a)

3-x

b)

x+3

c)

x-3