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Math 6B Review

Total questions: 103

Worksheet time: 3hrs 14mins

Name
Class
Date
1.

The equation is shown. What FACTOR is missing from the equation?

30 + 12 = __(5 + 2)

a)

6

b)

8

c)

2

d)

4

2.

Find the missing number using the distributive property. 10 + 20x  =  2(5 +  __)

a)

2

b)

4

c)

5

d)

10x

3.
8(3 + 4) =
a)
24 + 32
b)
11 + 12
c)
123 + 124
d)
5 + 4
4.

What is the surface area of the cube?

a)

12 cm2

b)

36 cm2

c)

24 cm2

d)

64 cm2

5.

What is the least common multiple of 6 and 12?

a)

24

b)

12

c)

18

d)

36

6.

What are the prime factors of 27?

a)

3x3x3

b)

3x2x3

c)

3x3x4

7.

Find the prime factorization of 56.

a)

2x2x2x7

b)

2x28

c)

3x3x7

8.
Express in exponential notation.
3 x 3 x 3 x 3
a)
33
b)
34
c)
43
9.
Express in exponential notation.
10 x 10 x 10
a)
100
b)
103
c)
30
10.
Solve.
5,062  ÷  103
a)
50,062
b)
5062
c)
5.062
11.
Solve.
123.45  ÷  10
a)
1234.5
b)
123.45
c)
12.345
12.
Solve.
43.67 x 102
a)
4367
b)
0.4367
c)
436.7
13.

Using the number line, work out 3+7-3+-7 .

a)

-10

b)

4

c)

-2

d)

-4

14.

 Work out 2+5-2+-5 .

a)

-7

b)

-3

c)

4

d)

1

15.

Using the number line, work out 
76-7--6  .

a)

-1

b)

13

c)

-13

d)

-3

16.

 Work out 1818-18--18 .

a)

0

b)

36

c)

-36

d)

-18

17.

 Work out 911-9--11 .

(a)  

18.

-12 + 5 - (-5) +10 +6 =

(a)  

19.

What is the Least Common Multiple of 4 and 14

a)

28

b)

42

c)

56

d)

24

20.
Choose the correct list of the first five multiples of 10.
a)
1, 10, 20, 30, 40
b)
10, 20, 30, 40, 50
c)
5, 10, 15, 20, 25
d)
10, 30, 40, 50, 60
21.

Find the Least Common Multiple of 2 and 3.

a)

2

b)

3

c)

6

d)

12

22.
Find the Least Common Multiple of 9 and 6
a)
18
b)
36
c)
38
d)
72
23.
Which one is a multiple of 4?
a)
33
b)
22
c)
18
d)
24
24.

LCM(3, 11) =

a)

25

b)

66

c)

14

d)

33

25.
What is the least common multiple (LCM) of 5 and 11? 
a)
25
b)
55
c)
11
26.

What is the Least Common Multiple of 12 and 10?

a)

22

b)

44

c)

110

d)

120

27.
What is the LCM of 2, 4, 6?
a)
6
b)
12
c)
4
d)
2
28.
89 - 3.72
a)
2.83
b)
3.17
c)
86.72
d)
85.28
29.
13.5 ÷ 0.03
a)
45
b)
450
c)
4.5
d)
0.45
30.
9.6 x 1.8
a)
8.64
b)
17.28
c)
172.8
d)
86.4
31.
92.37 ÷ 0.5
a)
184.74
b)
18.474
c)
1840
d)
None of the above
32.
5.78 x 3.5
a)
0.223
b)
2.23
c)
22.3
d)
20.23
33.
7.13 x 5.5 
a)
39.215
b)
3.9215
c)
392.15
d)
3921.5
34.
2.98 + 5.3 =
a)
2.51
b)
8.28
c)
3.63
d)
2.37
35.
123.6 - 0.08 =
a)
123.2
b)
122.8
c)
124.4
d)
123.52
36.

If m=12, what does n equal?


3m-10=n

(a)  

37.

If a=11, what does b equal?


5a=b

(a)  

38.

If d=5, what does f equal?

d2=fd^2=f  



(a)  

39.

If g=30, what does h equal?

g2=h\frac{g}{2}=h  



(a)  

40.

4 + 6b, b=3

a)

67

b)

13

c)

22

d)

13

41.

What is 5a+1 when a = 2

a)

11

b)

53

c)

9

d)

8

42.

Katie read k number of books last week. Shamar read 3 less than the amount of books Katie did. Which expression represents the amount of books Shamar read?

a)

k

b)

3-k

c)

k-3

d)

k+(k-3)

43.

Marley and Mike are training for their track meet. Marley ran 2 more than three times the number of miles Mike did. If Mike ran m miles, which expression represents the total number of miles both boys ran?

a)

2+3m

b)

3m+2

c)

m+(3m+2)

d)

m

44.

Ms. Jones and Mrs. Trimble decide to split the number of tests, t,  that need to be graded. Each teacher will grade 32 tests. Which equation represents this scenario?

a)

2t=322t=32  

b)

t2=32\frac{t}{2}=32  

c)

32t=232t=2  

d)

32t=2\frac{32}{t}=2  

45.
5(a + 6)
a)
5a + 6
b)
a + 30
c)
5a + 30
d)
5a - 30
46.
5(a + 6)
a)
5a + 6
b)
a + 30
c)
5a + 30
d)
5a - 30
47.
4(p - 6)
a)
-4p - 24
b)
4p + 24
c)
4p + 24
d)
4p - 24
48.
3(2c - 5)
a)
6c - 15
b)
6c + 15
c)
6c + 15
d)
-6c - 15
49.
-3(2c - 5)
a)
-6c - 15
b)
-6c + 15
c)
6c + 15
d)
6c - 15
50.
-3(2c - 5)
a)
-6c - 15
b)
-6c + 15
c)
6c + 15
d)
6c - 15
51.
8(x + 5)
a)
8x + 13
b)
8x + 5
c)
8x + 40
d)
13x
52.
3(2y - 7)
a)
6y - 7
b)
6y - 21
c)
5y - 7
d)
5y - 21
53.

Simplify the expression: -8 + 2(x + 4)

a)

2x

b)

2x - 4

c)

2x + 12

d)

2x + 4

54.

6(3x + 5) + 2x

a)

20x + 5

b)

20x + 30

c)

20x + 11

d)

5x + 30

55.

Simplify the expression: 2(x + 4) + 3(2x - 5)

a)

8x - 7

b)

8x + 4

c)

5x + 23

d)

-5x + 20

56.

The scale of a map is 1 : 250. Calculate the actual distance represented by 2 cm on the map. Give your answer in metres.

a)

5 m

b)

2.5 m

c)

500 cm

d)

0.005 km

57.

The scale of a map is 1 : 250. Calculate the actual distance represented by 2 cm on the map. Give your answer in kilometres.

a)

5 km

b)

2.5 km

c)

5 m

d)

0.005 km

58.

The scale of a map is 1 : 300. Calculate the distance on the map given that the actual distance is 6 m.

a)

2 cm

b)

3 cm

c)

6 cm

d)

0.2 cm

59.

The scale of a map is 1 : 300. Calculate the distance on the map given that the actual distance is 9 m.

a)

2 cm

b)

3 cm

c)

6 cm

d)

0.2 cm

60.

The scale of a map is 1 : 100 000. Calculate the distance on the map given that the actual distance is 6 km.

a)

2 cm

b)

3 cm

c)

6 cm

d)

0.2 cm

61.

Express the map scale 2 cm : 7m in the form 1:r

a)

1:700

b)

1:650

c)

1:350

d)

1:250

62.

Express the map scale 4 cm : 800m in the form 1:r

a)

1:20000

b)

1:80000

c)

1:40000

d)

1:2000

63.
Scale = 1:20. If a bed is 200cm in real life, how many cm is it on the plan?
a)
10cm
b)
20cm
c)
5cm
d)
1cm
64.
Scale = 1:10. If a chair is 40cm in real life, how many cm is it on the plan?
a)
1cm
b)
4cm
c)
10cm
d)
40cm
65.
Scale = 1:50. If a sofa is 250cm in real life, how many cm is it on the plan?
a)
3cm
b)
5cm
66.

Find the scale factor of the enlargement from A to C

a)

2

b)

0.5

c)

3

d)

4

67.

Find the scale factor of the enlargement from A to B

a)

2

b)

0.5

c)

3

d)

4

68.

Find the scale factor of the enlargement from B to A

a)

2

b)

0.5

c)

3

d)

4

69.

Find the scale factor of the enlargement from A to D

a)

2

b)

5

c)

3

d)

4

70.

Find the scale factor of the enlargement from D to A

a)

0.5

b)

3

c)

0.25

d)

4

71.

Find the scale factor of the enlargement from F to B

a)

0.5

b)

3

c)

2

d)

4

72.

Find the scale factor of the enlargement from B to F

a)

0.5

b)

3

c)

2

d)

4

73.

Find the scale factor of the enlargement from F to E

a)

0.5

b)

3

c)

2

d)

4

74.

Find the scale factor of the enlargement from A to C

a)

0.5

b)

3

c)

2

d)

4

75.

Find the scale factor of the enlargement from C to A

a)

0.5

b)

3

c)

0.25

d)

4

76.

Find the scale factor of the enlargement from R to T

a)

0.5

b)

3

c)

2

d)

4

77.

Find the scale factor of the enlargement from T to R

a)

0.5

b)

3

c)

2

d)

4

78.

Find the scale factor of the enlargement from R to U

a)

0.5

b)

3

c)

2

d)

4

79.

Find the scale factor of the enlargement from Y to X

a)

0.5

b)

3

c)

2

d)

4

80.

Find the scale factor of the enlargement from X to Y

a)

0.5

b)

3

c)

2

d)

4

81.

Find the scale factor of the enlargement from Y to Z

a)

0.5

b)

3

c)

2

d)

4

82.

Find the scale factor of the enlargement from Y to W

a)

0.5

b)

3

c)

2

d)

4

83.

Find the scale factor of the enlargement from W to Y

a)

0.5

b)

3

c)

2

d)

4

84.

Find the volume of the rectangular prism

a)

12 ft2

b)

12 ft3

c)

16 ft3

d)

64 ft3

85.

Find the volume of the rectangular prism

a)

72 in2

b)

30 in2

c)

72 in3

d)

30 in3

86.

Find the volume of the rectangular prism

a)

80 m3

b)

80 m2

c)

40 m2

d)

40 m3

87.

Find the volume of the rectangular prism

a)

10 cm2

b)

30 cm3

c)

12 cm2

d)

24 cm3

88.

Find the volume of the rectangular prism

a)

100 in3

b)

110 in3

c)

120 in3

d)

200 in3

89.

Find the volume of the rectangular prism

a)

49 ft2

b)

49 ft3

c)

343 ft2

d)

343 ft3

90.

Find the volume of the rectangular prism

a)

20 in2

b)

20 in3

c)

256 in2

d)

256 in3

91.

Find the volume of the rectangular prism

a)

24 in3

b)

12 in3

c)

24 in2

d)

12 in2

92.

Find the volume of the rectangular prism

a)

18 in2

b)

18 in3

c)

8 in2

d)

8 in3

93.

Find the volume of the rectangular prism

a)

280 in3

b)

280 in2

c)

330 in3

d)

330 in2

94.

Find the volume of the rectangular prism

a)

330 in3

b)

320 in3

c)

300 in3

d)

280 in3

95.

Find the volume of the rectangular prism

a)

80 in3

b)

96 in3

c)

99 in3

d)

120 in3

96.

Find the volume of the rectangular prism

a)

10 in3

b)

24 in3

c)

36 in3

d)

42 in3

97.

Find the volume of the rectangular prism

a)

80 in3

b)

120 in3

c)

180 in3

d)

240 in3

98.

Find the volume of the figure.

a)

6

b)

8

c)

12

d)

18

99.

Find the volume of the figure.

a)

17 cubic inches

b)

34 cubic inches

c)

120 cubic inches

d)

102 cubic inches

100.
Find the volume of the prism.
a)
585 cm2
b)
585 cm3
c)
27 cm3
d)
27 cm2
101.

What is the volume of this cube?

a)

9 cm3

b)

9 cm2

c)

27 cm3

d)

27 cm2

102.
What is the formula used to find the volume of a rectangular prism?
a)
V = Lw
b)
V = Lwh
c)
V = 1/2bh
d)
V = 2∏r
103.

Which equations represent the volume of the Rubik's Cube? (Choose all correct answers.)

a)

9 x 3 = 27

b)

3 + 3 + 3 = 9

c)

9 + 9 + 9 = 27