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Worksheets

1st Semester Math Review

Total questions: 99

Worksheet time: 25hrs 45mins

Name
Class
Date
1.

When the denominators are not the same, I must find a...

a)

common numerator

b)

common denominator

c)

equivalent fraction

d)

mixed number

2.

When adding or subtracting fractions, I NEVER add or subtract the...

a)

numerators

b)

denominators

c)

mixed numbers

d)

equivalent fractions

3.
a)
2/5
b)
5/6
c)
4/6
d)
1/5
4.
a)
12/17
b)
17/20
c)
20/17
d)
2  1/2
5.
4/5  -  1/10
a)
7/10
b)
4/9
c)
3/10
d)
2
6.
True or False:
When you multiply fractions, you need common denominators.
a)
True
b)
False
7.
Write in simplest form.
a)
1/4
b)
2/8
c)
6/24
d)
6/32
8.

Mrs. Myers wants to bake 6 cakes for Layla's party. The recipe says each cake needs 1/2 a cup of sugar. How much sugar will Mrs. Myers need for all 6 cakes?

a)

12 cups

b)

3 cups

c)

4 cups

d)

6 cups

9.

Kamari completed his math homework in 1/3 of an hour.


He had to complete 4 math problems.

He spent an equal amount of time on each problem.


How much of an hour did Kamari spend on each problem?

a)

1/12

b)

1/7

c)

3/4

d)

12

10.

Aidan had 5 feet of ribbon. He needs 1/2 foot of ribbon to make an ornament. How many ornaments can he make with the amount of ribbon he has?

a)

9

b)

10

c)

6

d)

4

11.
Sarah bought 2.5 meters of fabric to make a patchwork quilt. If the fabric was on sale for $6.20 per meter, how much did Sarah spend?
a)
$15.50
b)
$155
c)
$15.65
d)
$1.55
12.
A piece of wood is 33.6 feet long. If I want to cut it into 4.2 feet sections, how many sections will I have? 
a)
5 sections
b)
2 sections 
c)
8 sections 
d)
 6.5 sections 
13.
Michael paid $11.48 for sliced cheese at the deli counter. The cheese cost $3.28 per pound. How much cheese did Michael buy?
a)
2.75 pounds
b)
3.23 pounds
c)
2.8 pounds
d)
3.5 pounds
14.
Compare:  -9  __  8
a)
>
b)
<
c)
=
15.
Compare: -3 ___ -5
a)
-3 > -5
b)
-3 = -5
c)
-3 < -5
16.
How do you know that 5 and -5 are opposites? 
a)
Because they both have a 5 
b)
They are the same distance from 0 and on opposite sides of 0 
c)
Because they are the same 
d)
They both are on a number line 
17.
Fill in the blank with the correct sign >, < , or =
-3.4  ________ -2.5
a)
>
b)
<
c)
=
18.
Put the rational numbers in order from least to greatest.
-1, -1.1, -1.5, -1.15, -0.5
a)
-1.5, -1.15, -1.1, -1, -0.5
b)
-1.1, -1, -1.5, -1.15, -0.5
c)
-0.5, -1.1, -1, -1.5, -1.15
19.
|-20|
a)
20
b)
-20
20.
Which statement is true?
a)
The absolute value of 3 is -3
b)
The opposite of 7 is 7
c)
The absolute value of 5 is equal to the opposite of 5
d)
The opposite of -4 is equal to the absolute value of -4
21.
What's a way to define absolute value?
a)
The value of a number
b)
The opposite of a number
c)
The distance of a number from zero
d)
The multiplicative inverse of a number
22.
Compare |-5| to the |-10|
a)
|-5| > |-10|
b)
|-5| = |-10|
c)
|-5| < |-10|
23.

Order from least to greatest:

-2, |3|, -4

a)

-4, -2, |3|

b)

-2, |3|, -4

c)

|3|, -2, -4

d)

-2, |3|, -4

24.

If the are 8 boys and 14 girls in a class, what is the ratio of boys to total students?

a)

8 : 14

b)

14 : 8

c)

8 : 22

d)

22 : 8

25.

For every $5 Carl spends on movies, he spends $15 on video games. Last month, she spent $60 on video games. How much did he spend on movies?

a)

$50

b)

$30

c)

$20

d)

$25

26.
What is B?
a)
3
b)
9
c)
2
d)
6
27.

Solve for A in the ratio table.

a)

A= 40

b)

A= 10

c)

A= 9

d)

A= 45

28.
Refer to the double number line.
If Kim makes 8
 loaves of bread, how many cups of raisins did she use?
a)
4
b)
12
c)
16
d)
24
29.
How long would it take 12 people to go down the slide?
a)
1 min
b)
2 min
c)
3 min
d)
undeterminable
30.
If Justin can type 408 words in 4 minutes, how many words can he type per minute?
a)
102 words per minute
b)
100 words per minute
c)
400 words per minute
d)
412 words per minute
31.
A 30 oz. jar of mayonnaise is on sale for $2.99
What is the price PER ounce?
a)
$10.03 per ounce
b)
$27.01 per ounce
c)
$0.99 per ounce
d)
$0.10 per ounce
32.

While shopping, Sofia noticed that her favorite chips were on sale $5 for 2 bags. How much will it cost her for 7 bags of chips?

a)

$7.50

b)

$12.00

c)

$12.50

d)

$17.50

33.
The distance that an automobile travels varies directly as the time it travels. If the car travels 280 miles in 7 hours, how far will it travel in 12 hours?
a)
480
b)
1960
c)
84
d)
25
34.
A store sees 120 customers in 8 hours. What is the unit rate (in customers per hour)?
a)
16 customers per hour
b)
15 customers per hour
c)
12 customers per hour
d)
20 customers per hour
35.
A student earned a grade of 80% on a math test that had 30 problems.  How many problems on this test did the student answer correctly?
a)
17 problems
b)
24 problems
c)
20 problems
d)
18 problems
36.

There are 15 pieces of fruit in a bowl and 6 of them are apples. What percentage of the pieces of fruit in the bowl are apples?

a)

0.06%

b)

0.4%

c)

6%

d)

40%

37.
Aiden's cat weighs 12 pounds.  How many ounces is that?
1 Pound = 16 ounces
a)
72
b)
24
c)
182
d)
192
38.
In which quadrant is the following point?
(-3, 12)
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
39.
Where is point E located?
a)
( 2, 0 )
b)
( 2 , 2 )
c)
( 0 , 2 )
d)
( 0 , 0 )
40.
Give the coordinates for POINT I.
a)
(-2, 5)
b)
(-2, -5)
c)
(2, 5)
d)
(2, -5)
41.

Identify the quadrant where the point is located. (10 , -5)

a)

I

b)

II

c)

III

d)

IV

42.

The two points are reflections of each other across the x or y axis. Identify the axis. (-2, 3) and (-2, -3)

a)

x

b)

y

43.

What would be the coordinates of point K if it was reflected over the x-axis?

a)

(-5, -2)

b)

(-5, 2)

c)

(5, -2)

44.
What is the distance from Point A to Point B?
a)
8 units
b)
16 units
c)
0 units
45.

Find the distance between the two ordered pairs.

a)

-5

b)

9

c)

15

d)

5

46.

What is the distance between points A and B?

a)

2

b)

3

c)

4

d)

5

47.

Jason is having a pizza party for his birthday. If he is having 20 friends over and they each eat 3/8 of a pizza, how many pizzas should he order for the party?

a)

7 127\ \frac{1}{2}

b)

88

c)

19 5819\ \frac{5}{8}

d)

53 1353\ \frac{1}{3}

48.

Jayme operates an ice cream stand. On Friday, she used 4 gallons of milk. On Saturday, she used  1 231\ \frac{2}{3}  times as many gallons as on Friday.  How many gallons of milk did she use on Saturday?

a)

5

b)

2 252\ \frac{2}{5}  

c)

5 235\ \frac{2}{3}  

d)

6 236\ \frac{2}{3}  

49.

Debbie and Farrah each made lemonade. Farrah used 3 343\ \frac{3}{4}  times as much sugar as Debbie did. If Debbie used  12\frac{1}{2}   of a cup of sugar, how many cups of sugar did Farrah use?

a)

3 143\ \frac{1}{4}  

b)

4 144\ \frac{1}{4}  

c)

1 781\ \frac{7}{8}  

d)

7 127\ \frac{1}{2}  

50.

Simply Frosted sold   6 146\ \frac{1}{4}   loaves of cinnamon bread, and  3 14 3\ \frac{1}{4}\  loaves of raisin bread.  How many loaves of bread did they sell all together?

a)

20 51620\ \frac{5}{16}  

b)

3

c)

1 12131\ \frac{12}{13}  

d)

9 129\ \frac{1}{2}  

51.

Madelyn made a fruit salad with  14\frac{1}{4}  of a pound of blueberries and  512\frac{5}{12}  of a pound of strawberries.  How many pounds of berries were in the fruit salad?

a)

23\frac{2}{3}  

b)

16\frac{1}{6}  

c)

548\frac{5}{48}  

d)

1 231\ \frac{2}{3}  

52.

Ricky needed to buy the ice cream for his family dinner. He wants to buy enough ice cream so each of the 18 guests can have 3/4 of a pint of ice cream. How many pints should he buy?

a)

14

b)

13 1213\ \frac{1}{2}

c)

24

d)

18 3418\ \frac{3}{4}

53.

Ariel walked every day after school. In one week, she walked  3 153\ \frac{1}{5}  miles.  The next week, she walked  2 910 2\ \frac{9}{10}\  miles.  How many miles did Ariel walk in 2 weeks?

a)

1 3291\ \frac{3}{29}  

b)

5 10155\ \frac{10}{15}  

c)

6 110 6\ \frac{1}{10}\  

d)

9 7259\ \frac{7}{25}  

54.

Josie collected 2/3 of a bin of cans to recycle. Dianne collected 9 times as many bins as Josie. How many bins of cans did Dianne collect?

a)

6

b)

8 138\ \frac{1}{3}

c)

227\frac{2}{27}

d)

9 239\ \frac{2}{3}

55.

Mrs. Williams connected all of the jump ropes from her class to the jump ropes from Mrs. Jackson's class. If Mrs. Jackson had a total of   8 7128\ \frac{7}{12}  feet of jump rope, and Mrs. Williams had a total of   13 34 13\ \frac{3}{4}\   feet of jump rope, how much did they have all together?

a)

5 165\ \frac{1}{6}  

b)

118

c)

22 1322\ \frac{1}{3}  

d)

1 621031\ \frac{62}{103}  

56.

Cordill Mason Elementary served  7 147\ \frac{1}{4}   gallons of ice cream to 1st grade,  4 12 4\ \frac{1}{2}\  gallons of ice cream to 2nd grade, and  5 34 5\ \frac{3}{4}\  gallons of ice cream to 3rd grade.  How much ice cream did they serve in all?

a)

18

b)

17 1217\ \frac{1}{2}  

c)

187

d)

25 7825\ \frac{7}{8}  

57.

To make a skirt out of fabric, Connie needs 1 and 3/4 yards of fabric for each skirt. If Connie bought 10 and 1/2 yards of fabric, how many skirts could she make?

a)

1 skirt

b)

3 skirts

c)

6 skirts

d)

18 skirts

58.

What is the value of 9 and 2/3 - 4 and 1/5?

a)

7 and 5/8

b)

5 adn 1/

c)

5 and 7/15

d)

5 and 5/15

59.

What is the sum of 1/3 and 2/9?

a)

2/3

b)

5/9

c)

3/12

d)

1/6

60.

Tara baked 6 and 1/2 dozen cookies. She sold 3 and 2/6 dozen of the cookies she made. How many dozens of cookies does Tara have remaining?

a)

3 and 1/2

b)

3 and 1/6

c)

3 and 3/8

d)

3 and 5/6

61.

Evaluate 3/5 - 2/5

a)

1

b)

1/5

c)

1/0

d)

6/25

62.

Nadia brought two cakes to her sister's birthday party. The chocolate cake had 12 slices and the vanilla cake had 16 slices. At the end of the party, only 4 slices of vanilla cake remained. Assuming the guest ate the same fraction of cake for both flavors, how many slices of chocolate cake were left at the end of the party?

a)

4 slices

b)

3 slices

c)

2 slices

d)

1 slice

63.

Alice wants to make cookies and cake for her class. The cookie recipe calls for 1 and 1/2 cups of flour, and the cake recipe calls for 2 and 1/3 cups of flour. She has to double the cookie recipe, but she leaves the cake recipe the same. What is the total amount of flour she needs?

a)

5 1/3

b)

3 5/6

c)

2 1/6

d)

3 1/2

64.

What was the total amount of gallons used?

a)

41 and 1/3

b)

22 and 3/4

c)

40 and 3/4

d)

39 and 2/3

65.

John has 12 pounds of dog food and is going to separate it into 3/4 pound portions. How many portions of dog food will he have?

a)

3

b)

9

c)

4

d)

16

66.

Find the quotient of 6/3 and 2/4

a)

4

b)

18/12

c)

3/2

d)

2/3

67.

Convert 3 and 1/3 into an improper fraction

a)

9/3

b)

10/3

c)

3

d)

3/10

68.

John bought 3.25 meters of red fabric and 2.75 meters of blue fabric for his project. How much fabric did he buy in total?

a)

5.00 meters

b)

6.00 meters

c)

5.50 meters

d)

6.25 meters

69.

A baker used 4.5 cups of flour in the morning and 3.25 cups in the afternoon. How much more flour did the baker use in the morning than in the afternoon?

a)

1.75 cups

b)

1.25 cups

c)

7.75 cups

d)

0.75 cups

70.

A rectangle has a length of 5.8 meters and a width of 3.2 meters. What is the area of the rectangle?

a)

18.56 square meters

b)

9.0 square meters

c)

15.6 square meters

d)

8.56 square meters

71.

A container holds 2.5 liters of water. If 0.75 liters of water is poured out, how much water is left in the container?

a)

1.75 liters

b)

2.25 liters

c)

1.25 liters

d)

3.25 liters

72.

If a car travels 120.5 kilometers in 1.5 hours, what is the average speed of the car in kilometers per hour?

a)

80.33 km/h

b)

60.25 km/h

c)

80.00 km/h

d)

90.75 km/h

73.

Samantha bought a book for $7.25 and a pen for $1.75. How much did she spend in total?

a)

$9.00

b)

$8.50

c)

$10.00

d)

$9.50

74.

A school bought 15.5 kilograms of sugar and used 2.75 kilograms for a baking event. How many kilograms of sugar are left?

a)

12.75 kilograms

b)

13.25 kilograms

c)

12.25 kilograms

d)

18.25 kilograms

75.

If a piece of wire is 9.6 meters long and is cut into 4 equal pieces, how long is each piece?

a)

2.4 meters

b)

3.2 meters

c)

2.2 meters

d)

4.8 meters

76.

A recipe calls for 2.25 cups of flour and 1.5 cups of sugar. If the amount of flour is doubled, how much flour is needed?

a)

4.5 cups

b)

3.75 cups

c)

5.25 cups

d)

4.00 cups

77.

A tank can hold 150.5 liters of water. If it is currently filled with 75.25 liters, how much more water is needed to fill the tank?

a)

75.25 liters

b)

85.25 liters

c)

65.25 liters

d)

80.25 liters

78.

It rained 0.72 cm on Monday. On Tuesday, it rained 0.34 cm less than on Monday. How much did it rain on Tuesday?

a)

0.38

b)

0.37

c)

0.39

d)

1.08

79.
After buying some bananas for $64.90, Larry has $3.96 left. How much money did Larry have to begin with?
a)
$65.24
b)
$65.78
c)
$68.86
d)
$63.26
80.

Tucker bought 2.78 kg of melon and 2.27 kg of cherries. How much fruit did he buy in all?

a)

0.51 kg

b)

5.15 kg

c)

0.52 kg

d)

5.05 kg

81.
Riley has started a babysitting business. She charges $3.85 per hour. If she works 8 hours a week, how many dollars does she earn for the week?
a)
$30.80
b)
$3.08
c)
$308.80
d)
$40.80
82.

Mr Bennett buys about 14.4 L of petrol every week. How many litres of petrol does she buy in a 6 weeks?

a)

8.64 L

b)

864.4 L

c)

864 L

d)

86.4 L

83.

It took Mr. Gray 1.6 hours to run the 13.2 km. What was his average speed? 

a)

2.85 km/h

b)

8.25 km/h

c)

6.25 km/h

d)

8.52 km/h

84.

Sam bought 1.5 kg of mince from Coles. He paid a total of $16.80 for it. What was the price per kg? 

a)

$11.20

b)

$11.40

c)

$11.60

d)

$11.80

85.

Walter pays ​$2.53 to ship a package that weighs 5.5 grams. Which is the cost to ship 1​ gram?

a)

$4.60

b)

$0.43

c)

4.6 cents

d)

$0.46

86.

If Sue spent $10.50 on grapes at Wollies and bought 3.05 kg, how much was each kg? (Hint: since we are talking about money, you need to round!)

a)

$3.43

b)

$3.44

c)

$3.45

d)

$3.46

87.
Calculate
5.75÷0.25
a)
0.23
b)
2.3
c)
2.03
d)
23
88.
Calculate
7.8÷0.03
a)
2.6
b)
26
c)
260
d)
.26
89.
To divide 19.5÷0.31 start by moving the decimal
a)
Right two places
b)
Right one place
c)
Left two places
d)
Left one place
90.
Simplify 
a)
1/4
b)
1/24
c)
6/4
d)
1/18
91.
Simplify
a)
1/5
b)
1/3
c)
3/5
d)
2/3
92.
Simplify
a)
1/4
b)
6/10
c)
4/4
d)
3/4
93.
Reduce 2/4
a)
1/3
b)
2/5
c)
3/6
d)
1/2
94.
Simplify  70/80  to lowest terms.
a)
35/40
b)
7/8
c)
9/10
d)
14/16
95.
Simplify  9/18  to lowest terms.
a)
1/2
b)
3/6
c)
9/18
d)
5/10
96.
Reduce 18/24  to lowest terms.
a)
4/3
b)
9/12
c)
3/4
d)
1/2
97.
Reduce 21/56  to lowest terms.
a)
7/8
b)
3/8
c)
5/13
d)
10/27
98.
Reduce 21/36  to lowest terms.
a)
2/3
b)
11/18
c)
11/12
d)
7/12
99.
What number would you divide the numerator and denominator by when simplifying this fraction?  2/12
a)
2
b)
3
c)
6
d)
12