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Module 6 Review- Rational Number Problems

Total questions: 92

Worksheet time: 5hrs 21mins

Name
Class
Date
1.

3/7 of 8th graders in Madisonville play sports. If 3/5 of the 8th graders that play sports are boys, what fraction of 8th grade boys play sports?

a)

6/12

b)

36/35

c)

9/35

d)

3/5

2.
Jacob ran  4  3/5  miles on Monday, 4.5 miles on Tuesday, and  3  3/5 miles on Wednesday.  How many total miles did John run?
a)
12  26/50  miles
b)
12  7/10  miles
c)
11  7/12  miles
d)
12  miles
3.

Devon had his two friends over for pizza. Devon ate 1/4 of the pizza. One of his friends ate 3/8 of the pizza and the other friend ate 1/8 of the pizza. How much of the pizza is left?

a)

1/4

b)

1/8

c)

1/3

d)

1/5

4.

Chris decided to do his history homework a little bit each night. On the first night he did 1/5 of the homework, the second night he completed 1/4 of the homework, and the third night he worked 1/2 of the homework. How much of the homework has Chris completed?

a)

19/20 or .95

b)

1/2 or .5

c)

1/3 or .33

d)

1/10 or .1

5.

Ms. Sublett's math class is putting three numbers (0.3, 1/4, and 20%) in order from least to greatest. Which answer is correct?

a)

1/4, 20%, 0.3

b)

0.3, 20%, 1/4

c)

20%, 1/4, 0.3

d)

0.3, 1/4, 20%

6.
Your bank account balance is -$31.00. You then get paid $195 for work this week before paying your cellphone bill of $75.  How much money remains in your account?
a)
$-89.00
b)
$51.00
c)
$301.00
d)
$89.00
7.
Hailey bought a 9 ft piece of ribbon that she will cut into 2/3 ft long pieces. How many 2/3 ft pieces can Hailey cut?
a)
13 1/2 
b)
6
c)
9
d)
14
8.

Valeria spent all her allowance on candy. She spent $8.45 on chocolate, $5.60 on gum, and $6.85 on jelly beans. She had $1.25 left. How much was her allowance?

a)

$19.65

b)

$20.90

c)

$22.15

d)

$24.50

9.
The temperature was 80 degrees in the afternoon.  It was 50 degrees in the evening.  How much did the temperature change?
a)
25 degrees
b)
30 degrees
c)
130 degrees
d)
20 degrees
10.

E. Emma borrowed $89.40 from her sister. She determines that she can pay her back in six months worth of allowance. what effect will Emma's repayment have on her monthly bank account?

a)

-$84.90

b)

-$14.90

c)

$14.90

d)

-$16.98

11.

C. Mrs. Franks is purchasing 2.8 pounds of asparagus that costs $2.55 per pound. How much change will Mrs. Franks receive if she gives the cashier $10.00?

a)

$7.14

b)

$2.86

c)

$7.45

d)

$4.65

12.

B. The record low temperature in Fargo, ND is -35oF. The record high is 114oF. What is the difference in the record high and the record low temperatures?

a)

-3.25oF

b)

79oF

c)

149oF

d)

-149oF

13.
During a football game, Ryan had rushes of 12 yards, 6 yards, and 9 yard before losing 7 yards on a play.  How many total yards did he gain during the game?
a)
33 yards
b)
27 yards
c)
20 yards
d)
He did not gain any yards.
14.
Mr. Smith has an account balance of -$275.78.  He deposits $539.20 into his account.  What is Mr. Smith's account balance now?
a)
$813.98
b)
$263.42
c)
$539.78
d)
$345.98
15.
Brynlee is selling pies for a band fundraiser.  They make $5.50 profit for every pie they sell.  How many must they sell in order to make a profit of at least $100?
a)
19 pies
b)
18 pies
c)
550 pies
d)
100 pies
16.
A pitcher contains  3  1/2 quarts of milk.  Gabrielle pours 1.875 quarts into a smaller pitcher.  How many quarts of milk are left in the first pitcher?
a)
1  3/4  quarts
b)
1  5/8  quarts
c)
1  1/4  quarts
d)
4  3/4  quarts
17.

Karla earns $20.25 per hour. If she works for a total of 32 hours one week, how much would she earn for that week?

a)

$52.25

b)

$640

c)

$648

d)

$6,480

18.

Marvin had 2 spools of thread. Each spool contained 10 ⅝ yards of thread. Marvin used 4 yards from each spool. How many yards of thread did Marvin have left?

a)

13 1813\ \frac{1}{8}  

b)

1313   

c)

13 3813\ \frac{3}{8}  

d)

13 1413\ \frac{1}{4}  

19.

Kendrick and Pearl spend a total of $92 at an amusement park. They spend $28 on parking and lunch combined, and the rest on two admission tickets. How much does each admission ticket cost?

a)

$30

b)

$31

c)

$32

d)

$33

20.

A recipe for pancakes calls for 1 cup of mix and 34\frac{3}{4}  cup of milk. How much milk is needed to make half the recipe?

a)

38\frac{3}{8}  cup

b)

78\frac{7}{8}  cup

c)

1341\frac{3}{4}  cups

d)

1121\frac{1}{2}  cups

21.

How tall is a stack of sixteen pancakes if each pancake is 316\frac{3}{16}  inch thick?

a)

213162\frac{13}{16}  inches

b)

3 inches

c)

35163\frac{5}{16}  inches

d)

4184\frac{1}{8}  inches

22.

Match the Rational Number Operation with the correct rule directions.

a)

Multiplying/Dividing the same sign

1.

Answer is always positive

b)

Adding numbers with different signs

2.

subtract, take the sign of the bigger #

c)

Adding Numbers with the same sign

3.

Add the numbers, keep the sign

d)

Multiplying/Dividing different signs

4.

Answer is always negative

e)

Subtracting

5.

Keep Change Change then follow add rules

23.

When dividing fractions, I ​ ​ (a)   the ​ divided (first fraction) the same, I change ​ (b)   to ​ (c)   ​ , and I ​ (d)   the divisor (second fraction).  Then I ​ (e)   .

Choose from the below words
keep
multiplication
division
flip
multiply normally
change
divide normally
addition
24.

When multiplying fractions, I multiply the ​ (a)   and I multiply the ​ (b)   ​ (c)   .

Choose from the below words
numerators
denominators
straight across
cross multiply
least common multiple
greatest common factor
25.

When adding or subtracting fractions, I must always have a (a)   . I then add or subtract the ​ (b)   and keep ​ (c)   the same.

Choose from the below words
Common Denominator
Numerators
Denominator
Common Numerators
Divisor
Dividend
26.

When dividing fractions, I ​ ​ (a)   the ​ divided (first fraction) the same, I change ​ (b)   to ​ (c)   ​ , and I ​ (d)   the divisor (second fraction).  Then I ​ (e)   .

Choose from the below words
keep
multiplication
division
flip
multiply normally
change
divide normally
addition
27.

When ​ (a)   decimals, I must always ​ (b)   the decimals.

Choose from the below words
adding or subtracting
line up
multiplying or dividing
get rid of
28.

When ​ (a)   decimals, I ​ (b)   the numbers like normal and then ​ (c)   the numbers behind the ​ (d)   in the factors, and move the decimal that amount in the ​ (e)   .

Choose from the below words
multiply
count
decimals
answer
multiplying
dividing
divide
29.

When ​ (a)   by a decimal, I must change the ​ (b)   (second or outside number) to a ​ (c)   .  Then I move the decimal the that same amount in the ​ (d)   (first or inside number).  Then ​ (e)   like normal.

Choose from the below words
dividing
whole number
dividend
divisor
divide
multiplying
multiply
fraction
30.

A bank account has a balance of -$200. If $50 is deposited, what will the new balance be?

a)

-100

b)

-250

c)

0

d)

-150

31.

A roller coaster drops from a height of -120 feet to -180 feet. What is the total drop in feet?

a)

40 feet

b)

100 feet

c)

80 feet

d)

60 feet

32.

A stock price fell from -$30 to -$45. What is the difference in the stock price?

a)

-$20

b)

-$10

c)

-$15

d)

-$25

33.

Aryon has $20. He buys 2 Cokes that each cost $1.50. He also buys a sandwich for $5.50 and a bag of chips that costs $2.25. After Aryon pays for his lunch, how much money does he have left?

a)

$10

b)

$10.75

c)

$9.25

d)

$0

34.

A baker made 3/4 of a cake and wants to share it equally among 3 friends. How much cake will each friend receive?

a)

1/3

b)

1/4

c)

1/2

d)

2/4

35.

A recipe calls for 1/2 cup of sugar. If you want to make 3 batches of the recipe, how much sugar do you need in total?

a)

3/4 cup

b)

2 cups

c)

1 cup

d)

1 1/2 cups

36.

A car travels 5/6 of a mile in 1/2 hour. What is the car's speed in miles per hour?

a)

3 miles per hour

b)

1.67 miles per hour

c)

2.5 miles per hour

d)

0.83 miles per hour

37.

A school has 7/8 of a pizza left after lunch. If they want to divide it equally among 4 students, how much pizza will each student get?

a)

1/8

b)

7/32

c)

3/4

d)

1/2

38.

A container holds 1/2 gallon of juice. If you pour out 1/4 gallon, how much juice is left in the container?

a)

1/4 gallon

b)

1 gallon

c)

3/4 gallon

d)

1/2 gallon

39.

A student read 5/6 of a book. If the book has 120 pages, how many pages did the student read?

a)

80

b)

100

c)

90

d)

110

40.

An acre has 208.7 square feet. How many square feet are in 2 1/2 acres? What operation should you perform?

a)

Multiply

b)

Divide

c)

Add

d)

Subtract

41.

8% of 50

(a)  

42.

95% of 40

(a)  

43.

110% of 70

(a)  

44.

65% of 186

(a)  

45.

Select All the amounts below that are equal to 60%?

a)

0.6

b)

3/5

c)

6.0

d)

30/50

46.

Ashton is saving money to buy a new bike. He needs $120 but has only saved 60% so far. How much MORE money does Ashton need to buy the bike?

a)

$72.00

b)

$60.00

c)

$48.00

47.
Yesterday there were 40 problems assigned for math homework. Corey did 10% of the problems incorrectly. How many did he get wrong?
a)
1
b)
4
c)
5
d)
8
48.
45 people buy a ticket to the football game. Of these 60% ate nachos. How many people DO NOT eat nachos.
a)
27 people
b)
18 people
c)
45 people
d)
60 people
49.

In the United States, 3 out of 5 cars are black. What percent of the cars made in the United states are black?

a)

30%

b)

50%

c)

15%

d)

60%

50.

The sixth grade is going to the movies and 35% of the students did not go. Out of 80 students, how many students did not go?

a)

21

b)

28

c)

75

d)

49

51.

What is 10% of 50

a)

500

b)

50

c)

5

d)

.5

52.

What is 50% of 90

a)

90

b)

50

c)

45

d)

4.5

53.

What is 25% of 120

a)

120

b)

12

c)

48

d)

30

54.

How do you find 10% of a number

a)

Cut the number in half

b)

Move the decimal one place to the left

c)

Move the decimal two places to the left

d)

Leave it alone

55.

How do you find 50% of a number?

a)

Cut the number in half.

b)

Move the decimal one place to the left.

c)

Move the decimal two placed to the left.

d)

Move the decimal to the right.

56.

What is 100% of 600

a)

600

b)

60

c)

6

d)

6000

57.

19 x 718

a)

1,400

b)

14,000

c)

140

58.
Estimate.
19 x 74
a)
700
b)
140
c)
1,400
d)
14,000
59.
Estimate. 27 x 12
a)
30
b)
200
c)
20
d)
300
60.

Estimate: 4,368 ÷ 63Estimate:\ 4,368\ \div\ 63  

a)

70

b)

60

c)

80

d)

600

61.

Estimate: 6,537 ÷ 74Estimate:\ 6,537\ \div\ 74  

a)

90

b)

900

c)

9

d)

95

62.

Estimate: 4,998 ÷ 48Estimate:\ 4,998\ \div\ 48  

a)

100

b)

10

c)

90

d)

9

63.

91 boxes of apples hold a total of 2,605 apples. Assuming each box has ABOUT the same number of apples, estimate the number of apples in each box.

a)

26

b)

25

c)

24

d)

30

64.

If I want to buy something for $789, how much will I bring with me?

a)

$800

b)

$700

c)

$780

d)

$709

65.

"My math test will take me about ______ to finish"

Which makes the most sense to fill in the blank?

a)

4 hours

b)

20 minutes

c)

2 years

d)

30 seconds

66.

Choose the best estimate:

My teacher is about . . .

a)

5 inches tall

b)

92 years old

c)

12 years old

d)

30 years old

67.

When I go fill up my car with gas, I will plan to have . . .

a)

More money than I think I need

b)

Less money than i think I need

c)

The exact amount down to the penny

d)

an argument with the gas station employees

68.

About how long is your school day?

a)

1 1/2 hours

b)

7 hours

c)

16 hours

d)

90 minutes

69.

🙋-8 + (-12) =

a)

96

b)

-96

c)

-20

d)

-4

70.

🍤16 + (-27) =

a)

11

b)

-11

c)

43

d)

-43

71.

😱-8 - 12 =

a)

-20

b)

20

c)

4

d)

-4

72.

🍈-8 * 2 =

a)

-16

b)

16

c)

4

d)

-4

73.

🌋21 * (-4) =

a)

-25

b)

25

c)

-84

d)

84

74.

🎧-17 * (-1) =

a)

1

b)

-1

c)

17

d)

-17

75.

🏖0 * (-29) =

a)

0

b)

-0

c)

-29

d)

29

76.

🐣-42 ÷ (-6) =

a)

7

b)

-7

c)

6

d)

-6

77.

👀-49 ÷ 7 =

a)

7

b)

6

c)

-7

d)

-6

78.

🕵-24 ÷ 2 =

a)

-48

b)

48

c)

12

d)

-12

79.

🐋-49 ÷ (-7) * 2 =

a)

14

b)

-14

c)

12

d)

-12

80.

What is 5  (11)-5\ -\ \left(-11\right)  ?

a)

-55

b)

-16

c)

-6

d)

6

81.

(6+2) – 15 ÷ 5 × 2(6+2)\ –\ 15\ ÷\ 5\ ×\ 2  

a)

2

b)

-0.7

c)

6.5

d)

10

82.

9 ÷ 3+7  4 ÷ 29\ ÷\ 3+7\ \cdot\ 4\ ÷\ 2  

a)

17

b)

15.5

c)

0.45

d)

20

83.
What are the steps to solve the following expression?
50 − 16 ÷ 2
a)
add, multiply
b)
subtract, divide
c)
divide, subtract
d)
subtract, multiply
84.
Solve the following:
3 + 27 ÷ (-3)
a)
-6
b)
-10
c)
10
d)
-12
85.
If I have a positive multiplied with a positive, what will the answer be?
a)
Positive 
b)
Negative 
86.
If I have a negative multiplied with a positive, what will the answer be?
a)
Positive 
b)
Negative 
87.
If I have two negatives what will the product be?
a)
Negative 
b)
Positive 
88.

19+6-19+6   

a)

-25

b)

-13

c)

25

d)

13

89.

56÷856\div-8  

a)

7

b)

6

c)

-6

d)

-7

90.

12×412\times-4  

a)

16

b)

-16

c)

48

d)

-48

91.

25(4)25-\left(-4\right)  

a)

21

b)

29

c)

-29

d)

-21

92.

1913-19-13  

a)

-32

b)

-6

c)

32

d)

6