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Math Review Semester 1

Total questions: 100

Worksheet time: 25hrs 0mins

Name
Class
Date
1.
Three times a number increased by nine
a)
3h-9
b)
3(h-9)
c)
3(h+9)
d)
3h+9
2.
g divided by 9
a)
9g
b)
g-9
c)
g/9
d)
9/g
3.
What are the variables of 7x+6y-9
a)
6,7
b)
9
c)
6y, 7x
d)
x, y
4.
y minus 12
a)
y + 12
b)
y - 12
c)
y x 12
d)
y / 12
5.
Write the phrase as an expression. "10 less than a number n"
a)
10-n
b)
n-10
c)
n+10
d)
10-n
6.

Evaluate m² if m = 5

a)

10

b)

25

c)

15

d)

20

7.
Evaluate 8a - b     if a = 10   and   b = 6
a)
74
b)
38
c)
1000
d)
9000
8.

Evaluate 6a x b + 2c if a = 3, b = 10, and c = 7

a)

19

b)

194

c)

180

d)

14

9.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
10.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
11.

1/8 x 3/4

a)

2/32

b)

3/32

c)

4/32

12.

2/5 x 3/7

a)

6/35

b)

6/30

c)

5/35

13.

3/4 x 2

a)

1 1/2

b)

6/2

c)

3

14.

How many one-third cup servings are in 6 cups of pecans?

a)

1 / 18

b)

18

c)

6

d)

1 / 6

15.

A pet store had 4 cats to feed. If they only had one-fifth of a bag of cat food and each cat got the same abount, what fraction of the bag would each cat get?

a)

20

b)

1 / 20

c)

4 / 5

d)

5 / 4

16.

A farmer was dividing up his one-third of an acre of land between his 5 children. Since each child got the same amount of land, what fraction of the acre did each get?

a)

1 / 15

b)

15

c)

5 / 3

d)

3 / 5

17.

Reduce:  6/15

(Watch the Video if you need help!)

a)
2/5
b)
3/5
c)
4/9
18.

Reduce the fraction: 8/24

(Watch the Video if you need help!)

a)
1/12
b)
1/3
c)
2/12
d)
4/8
19.

Find the product: 37×34\frac{3}{7}\times\frac{3}{4}  

(Watch the Video if you need help!)

a)
9/24
b)
9/28
c)
6/32
d)
1/28
20.

Find the product: 12×214\frac{1}{2}\times\frac{2}{14}  REDUCE if NEEDED!

(Watch the Video if you need help!)

a)
9/24
b)
9/28
c)
6/32
d)

1/14

21.

Multiply: 18×3\frac{1}{8}\times3  

(Watch the Video if you need help!)

a)
3/8
b)
3-1/8
c)
1/24
d)
4/8
22.

Solve. 25÷510\frac{2}{5}\div\frac{5}{10}  REDUCE if POSSIBLE!

(Watch the Video if you need help!)

a)

89\frac{8}{9}

b)

15\frac{1}{5}

c)

1

d)

45\frac{4}{5}

23.

Solve. 23÷34\frac{2}{3}\div\frac{3}{4}  

(Watch the Video if you need help!)

a)

89\frac{8}{9}

b)

15\frac{1}{5}

c)

1

d)

45\frac{4}{5}

24.

18\frac{1}{8}   ÷\div  3

(Watch the Video if you need help!)

a)

3

b)

124\frac{1}{24}  

c)

38\frac{3}{8}  

d)

18\frac{1}{8}  

25.

Solve: 12\frac{1}{2}   ÷\div    1 34\frac{3}{4}  

(Watch the Video if you need help!)

a)

74\frac{7}{4}  

b)

38\frac{3}{8}  

c)

414\frac{4}{14}  

d)

5

26.
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
27.
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
28.
What number is missing?
a)
12
b)
3
c)
11
d)
13
29.
What is B?
a)
3
b)
9
c)
2
d)
6
30.

To disinfect 1 quart of stream water to make it drinkable, you need to add 2 tablets of iodine. How many tablets do you need to disinfect 4 quarts?

a)

4 tablets

b)

5 tablets

c)

6 tablets

d)

8 tablets

31.
In a certain apartment building, the ratio of tenants to cars is 3:5. If there are 30 tenants, how many cars are there?
a)
35
b)
60
c)
18
d)
50
32.

What is 47% in fraction?

(a)  

33.

There are 80 apples in a carton of apples. There are 24 red apples and the rest of the apples are green. What percentage of the apples are green?

a)

60%

b)

70%

c)

80%

d)

85%

34.

Express  12\frac{1}{2} as percentage. 



(a)  

35.

There are 150 people at a concert. There are 90 adults and the rest are children . What percentage of the people at the concert are children?

(a)  

36.

What is 25% of 60kg?

(a)  

37.
5% of 120 is 
a)
5
b)
12
c)
6
d)
10
38.
25% of 150 is 
a)
37.5
b)
37
c)
75
d)
75.5
39.
2% of 1000 is 
a)
200
b)
2000
c)
20
d)
2
40.
If 90% of x is 315 km, then the value of x is   
a)
325 km
b)
  350 m
c)
350 km 
d)
325 m
41.

Calculate 10% of $40

a)

$40

b)

$4

c)

$400

d)

$0.4

42.

A T-shirt costs $50. You get 10% off in the sales. How much do you pay for the T-shirt ?

a)

$5

b)

$15

c)

$45

d)

$35

43.

A shop sells 300 bikes. This was a 50% increase on last year. How many were sold last year?

a)

250

b)

200

c)

150

d)

50

44.

The price of a notebook in 2012 is $2000. In 2013, its value decreased by 30%. In 2014, its value decreased by 30% of its value in 2013. Find the value of the notebook at the end of 2013.

a)

$800

b)

$980

c)

$1020

d)

$1200

45.

The price of a notebook in 2012 is $2000. In 2013, its value decreased by 30%. In 2014, its value decreased by 30% of its value in 2013. Find the value of the notebook at the end of 2013.

a)

$800

b)

$980

c)

$1020

d)

$1200

46.
1⁄2 × 3 ⁄4 =
a)
3⁄8
b)
3⁄4
c)
1⁄2
d)
1⁄4
47.
3⁄5 × 2⁄5 =
a)
5⁄10
b)
6⁄5
c)
6⁄25
d)
1⁄5
48.
4⁄5 × 10⁄12 =
a)
40⁄50
b)
1⁄3
c)
50⁄48
d)
2⁄3
49.
41⁄2 × 32⁄3 =
a)
121⁄2
b)
33⁄2
c)
1⁄3
d)
16
50.
3⁄4 ÷ 1⁄2 =
a)
3⁄2
b)
6⁄8
c)
3⁄8
d)
1⁄2
51.
2⁄5 ÷ 2⁄5 =
a)
4⁄10
b)
2⁄5
c)
1
d)
5
52.
3⁄7 ÷ 2⁄5 =
a)
6⁄35
b)
15⁄14
c)
14⁄15
d)
1⁄7
53.
51⁄2 ÷ 4⁄5 =
a)
67⁄8
b)
10
c)
44⁄10
d)
11⁄4
54.
3⁄4 ÷ 41⁄2 =
a)
27⁄8
b)
36⁄6
c)
1⁄6
d)
6
55.

2⁄3 × 3⁄8 =

a)

6⁄8

b)

9⁄16

c)

6⁄24

d)

6⁄21

56.

A box hold 20 marbles. There are 13 green marbles and the rest are yellow. What is the ratio of yellow marbles to green marbles.

a)

20 to 13

b)

7 to 13

c)

13 to 7

d)

33 to 13

57.

Ms. Shields has 9 boys and 12 girls in her 1st block. What is the ratio of girls to total?

(a)  

58.

Joseph went to a farm with 23 animals. 9 were goats, 6 were sheep, and the rest were dogs. What is the ratio of dogs to goats?

a)

239\frac{23}{9}

b)

923\frac{9}{23}

c)

89\frac{8}{9}

d)

69\frac{6}{9}

59.

A bag contains red chips and blue chips. The ratio of red chips to blue chips is 4 to 5. Which of the following statements could be true.

a)

There are exactly 5 red chips and 4 blue chips

b)

There are exactly 24 red chips and 30 blue chips

c)

There are exactly 12 red chips and 15 blue chips

d)

There are exactly 30 red chips and 24 blue chips

60.

What are the 3 ways to write a ratio?

a)

fraction, comma, colon

b)

fraction, colon, the word to

c)

colon, comma, equation

d)

fraction, decimal, percent

61.

Select all options that are equal to 18 to 24

a)

24 to 18

b)

3 to 4

c)

9 to 12

d)

36 to 48

62.

In 1995, the U.S. Senate consisted of 46 Democrats and 54 Republicans. What is the ratio of Democrats to Republicans in lowest terms.

a)

54 to 46

b)

27 to 23

c)

46 to 54

d)

23 to 27

63.

At Massaponax High School 14 out of 35 students in Art Club are sophomores. Write this ratio in lowest terms.

a)

2 to 5

b)

5 to 2

c)

14 to 35

d)

35 to 14

64.

A bag has yellow and blue candy. The ratio of yellow candy to blue candy is 2:3. Select each option that could represent the number of yellow and blue candy in the bag.

a)

20:30

b)

6:4

c)

4:6

d)

6:9

65.

A bag contains red and yellow apples. The ratio of red to yellow apples is 4:3. If I have 6 yellow apples, how many red apples do I have?

a)

10

b)

7

c)

9

d)

8

66.

The definition of radius is

a)

distance from one point to another point

b)

distance around the circle

c)

distance from the center to any point on the circle

d)

distance across the circle through the center

67.

The definition of diameter is

a)

distance from the center of any point on the circle

b)

distance across the circle through the center

c)

distance from one point to another

d)

distance around the circle

68.

The definition of circumference is

a)

distance from the center of any point on the circle

b)

distance from one point to another

c)

distance around the circle

d)

distance from the center of any point on the circle

69.

what is the formula for finding diameter

a)

r = 2 d

b)

d = 2 r

c)

a = m c2

d)

c = π 2 r

70.

what is the formula for finding radius

a)

c = π d

b)

c = 2 π r

c)

d = r/2

d)

r = d/2

71.

what is the formula for finding circumference


select ALL that apply

a)

c = π d

b)

c = 2 π r

c)

d = 2 r

d)

r = d/2

72.

which segment above represents the diameter

a)

BC

b)

AC

c)

BD

d)

LM

73.

which segment above represents the radius

a)

AC

b)

AB

c)

LM

74.

Find the radius of the circle

a)

20 ft

b)

10 ft

c)

5.5 ft

d)

10

75.

find the diameter of the circle

a)

14 m

b)

7 m

c)

14

d)

3.5 m

76.

find the radius of the circle

a)

3 m

b)

1.5 m

c)

1.5

d)

1.5 mm

77.

find the diameter of the circle

a)

1 ft

b)

4 ft

c)

4 mm

d)

2 ft

78.

what is this shape called

a)

circle

b)

semi circle

c)

moon

d)

triangle

79.

what is the formula for finding area of a circle

a)

C = π r2

b)

A = π r2

c)

A = π r2 / 2

d)

C = 2 π r

80.

what is the formula for finding the area of a semi-circle

a)

A = π r2

b)

C = π r2

c)

A = π r2 / 2

d)

A = 2 π r

81.

what is the radius of the inner circle?

a)

12 in

b)

8 in

c)

8 ft

d)

4 in

82.

what is the diameter of the inner circle

a)

16 in

b)

12 in

c)

4 in

d)

8 ft

83.

Find the area of the circle. Leave in terms of π.

a)

18π in2

b)

9π in2

c)

81π in2

84.

The diagram below shows the radius of the circular opening of a bowl. What is the approximate circumference of the opening in centimeters?

a)

29.83

b)

9.5

c)

59.66

85.

A circular table top has a radius of 3 feet. A decorative trim is placed along the outside edge of the table. How long is the trim?

a)

6.28 feet

b)

12.56 feet

c)

18.84 feet

d)

25.12 feet

86.

Mrs. Wilson placed the welcome mat shown below on her front door step. What is the area of her welcome mat in square feet?

a)

A = 30.15

b)

A = 25.12

c)

A = 56.12

d)

A = 16.5

87.

find the area of the circle with radius 3 cm below.

a)

100 cm2

b)

225 cm2

c)

9 cm2

d)

28.26 cm2

88.

Shring's dining room table is round and has a radius of 4.5 feet. What is the tabletop's area?

a)

63.585 ft2

b)

68.345 ft2

c)

64.585 ft2

d)

61.345 ft2

89.

The Carillo family has a circular swimming pool with a diameter of 10 feet. Find the area of the pool cover to the nearest tenth.

a)

94 ft2

b)

53.4 ft2

c)

70.9 ft2

d)

78.5 ft2

90.
Find the percent change.
Original amount:  10
New amount: 12
a)
20%
b)
12%
c)
15%
d)
50%
91.
Find the percent change.
Original amount:  16
New amount: 11
a)
5%
b)
31%
c)
.3%
d)
56%
92.
Find the percent increase. Round to the nearest percent.
From $5 to $8 
a)
40%
b)
60%
c)
55%
d)
65%
93.
Find each percent increase. Round to the nearest percent.
From 13 friends to 14 friends  
a)
20%
b)
12%
c)
15%
d)
8%
94.
Find each percent decrease. Round to the nearest percent.
From $80 to $64 
a)
35%
b)
10%
c)
20%
d)
25%
95.
Find each percent decrease. Round to the nearest percent.
From 90 points to 45 points 
a)
55%
b)
50%
c)
45%
d)
35%
96.
The regular price of a scooter is $65.50. It is on sale for $52.40. What is the percent decrease from the regular price to the sale price of the scooter? 
a)
35%
b)
25%
c)
30%
d)
20%
97.
The number of people signed up for a bus trip increased from 32 to 45. What is the percent increase? Round to the nearest percent.
a)
52%
b)
41%
c)
42%
d)
45%
98.
Mrs. Ciampa had 27 students in her class last year and this year she had 30 students in her math class. What is the percent of change?
a)
24%
b)
20%
c)
11%
d)
50%
99.
Tickets to Disney World are $100.The price is going to increase on January 1. What is the percent of change if the cost increases to a $120?
a)
25%
b)
18%
c)
20%
d)
50%
100.
Tickets to Disney World are $100.The price is going to increase on January 1. What is the percent of change if the cost increases to a $120?
a)
25%
b)
18%
c)
20%
d)
50%

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