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December Review Gr8- 2024

Total questions: 97

Worksheet time: 2hrs 42mins

Name
Class
Date
1.
-8 - (-6)
a)
2
b)
14
c)
-2
d)
-14
2.
(-4)(-5)
a)
-9
b)
-20
c)
9
d)
20
3.
-32/8
a)
-4
b)
-5
c)
4
d)
24
4.
-2 + (-5)
a)
-3
b)
3
c)
-7
d)
7
5.

Solve the following: (-10) - (4)

a)

14

b)

6

c)

-14

d)

-6

6.
(1 + 32)2 - 5 + 5 x 3
a)
52
b)
110
c)
266
d)
300
7.
Simplify the following:
5 - 62 ÷ 4 - 3
a)
1
b)
-10.75
c)
-31
d)
-7
8.
10 + 45 ÷ 9 -(14 ÷ 2)  = 
a)
9
b)

8

c)
53
d)
18
9.
(1 + 32)2 - 5 + 5 x 3
a)
52
b)
110
c)
266
d)
300
10.
(4 x 3 ÷ 6)2 + 5 x 3
a)
19
b)
23
c)
27
d)
54
11.

Solve.

(2  5)3 ÷9  (5)\left(2\ -\ 5\right)^{3\ }\div9\ -\ \left(-5\right)  

a)

2

b)

20

c)

8

d)

12

12.

Solve.

[2(2)]2÷[(4)4]6\left[2-\left(-2\right)\right]^2\div\left[\left(-4\right)-4\right]-6  

a)

-8

b)

-7

c)

7

d)

8

13.

4(1+5)2 ÷ 6 – (42+5)-4(1+5)^2\ ÷\ 6\ –\ (42+5)  

a)

-23

b)

-71

c)

49

d)

-49

14.
If x = 5 & y = 3 what is 3x + 5y?
a)
28
b)
30
c)
32
d)
34
15.
a)

-17

b)

13

c)

17

d)

-13

16.
a)

-1600

b)

1600

c)

1604

d)

1596

17.
a)

7

b)

-7

c)

12

d)

-2

18.
a)

-42

b)

0

c)

42

d)

24

19.
a)

-176

b)

176

c)

225

d)

167

20.
a)

2

b)

4

c)

-2

d)

-4

21.

If r=4, s=8r=4,\ s=8  , find  5r2s\frac{5r^2}{s}  

a)

6

b)

8

c)

10

d)

12

22.

The temperature on Sunday was -15o C. The next day, the temperature had dropped 12 degrees. What was the temperature the next day?

a)

-27o C

b)

27o C

c)

-3o C

d)

3o C

23.
Melody had to make a visit to the bank because her account was overdrawn by $32.  After making a deposit of $100, Melody was now happy that she had some money. How much money did she have after making the deposit?
a)
$100
b)
-$78
c)
$68
d)
$32
24.
What is the value of (-2)3?
a)
-8
b)
-6
c)
6
d)
8
25.

Solve.

[(5+2)2+11]÷12+(2)\left[\left(5+2\right)^2+11\right]\div12+\left(-2\right)  

a)

22

b)

7

c)

3

d)

12

26.

Solve.

[1×(2)]3÷(8)+25\left[1\times\left(-2\right)\right]^3\div\left(-8\right)+25  

a)

15

b)

26

c)

24

d)

22

27.

Solve.

[(24÷8)×2]2 +[25÷(5)]\left[\left(-24\div8\right)\times2\right]^2\ +\left[25\div\left(-5\right)\right]  

a)

22

b)

36

c)

31

d)

41

28.

Solve.

(2  5)3 ÷9  (5)\left(2\ -\ 5\right)^{3\ }\div9\ -\ \left(-5\right)  

a)

2

b)

20

c)

8

d)

12

29.

Solve.

[(5+2)2+11]÷12+(2)\left[\left(5+2\right)^2+11\right]\div12+\left(-2\right)  

a)

22

b)

7

c)

3

d)

12

30.
(1 + 32)2 - 5 + 5 x 3
a)
52
b)
110
c)
266
d)
300
31.

What do we do first in the following equation?

100÷2+3217×32100÷2+3^2−17×32  

a)

100÷2100\div2  

b)

17×3217\times32  

c)

323^2  

d)

17-17  

32.

42(63)3+104^2-\left(6-3\right)^3+10  

a)

17

b)

53

c)

20

d)

-1

33.
What is the square root of 25?
a)
5
b)
12
c)
3
d)
6
34.
Which of the following is a perfect square?
a)
24
b)
48
c)
81
d)
110
35.
The area of a square is 100 cm2.  What is the perimeter?
a)
25 cm
b)
10 cm
c)
40 cm
d)
50 cm
36.
What is the area of a square with a side of 7?
a)
14
b)
28
c)
49
d)
64
37.

132=16913^2=169  

a)

TRUE

b)

FALSE

38.

Solve.

[(24÷8)×2]2 +[25÷(5)]\left[\left(-24\div8\right)\times2\right]^2\ +\left[25\div\left(-5\right)\right]  

a)

22

b)

36

c)

31

d)

41

39.
Which is GREATER?
27 or 72
a)
27
b)
72
c)
Neither, they are equal
40.
25 is the same as 2 x 5.
a)
True
b)
False
41.

Write the mixed number as an improper fraction

7 5/11

(a)  

42.

Write the mixed number as an improper fraction

2 1/4

(a)  

43.

MIXED FRACTION ADDITIONS

6 2/8 + 5 4/8

a)

11 3/4

b)

11 6/8

c)

1 3/8

d)

10 6/8

44.

SUBTRACTION MIXED FRACTION

9 7/8 - 2 5/8

a)

7 2/8

b)

2 8/8

c)

7 1/4

d)

3 2/8

45.

Write the improper fraction as a mixed number

36/4

a)

9 1/4

b)

9 3/4

c)

8 4/4

d)

9

46.

Write the mixed number as an improper fraction

5 6/7

(a)  

47.
Fill in the missing number into the ratio table
a)
5
b)
15
c)
25
d)
12
48.
Solve the proportion:
a)
c=4
b)
c=8
c)
c=14
d)
c=10
49.

Lisa can fold 48 paper stars in 2 hours.

How many stars can she fold in 3 h?

a)

72

b)

63

c)

54

d)

48

50.

Determine whether each pair of ratios forms a proportion

a)

Proportion

b)

Not a Proportion

51.
A bag of marbles comes with 3 blue marbles, 2 red marbles, and 5 yellow marbles. What is the ratio of red to yellow?
a)
2 to 5
b)
5 to 3
c)
3 to 5
d)
5 to 2
52.
Write 0.6 as a percent.
a)
6%
b)
60%
c)
0.6%
d)
600%
53.
5 boxes of candy costs $12.54. What is the unit price of one candy bar?
a)
2.50
b)
400000000
c)
78.0
d)
678
54.
The car travels 440 miles in 8 hours. What is the unit rate?
a)
12 miles in 1 hour
b)
55 miles in 1 hour
c)
110 miles in 1 hour
d)
44 miles in 1 hour
55.
A 6-ounce package of fruit snacks contains 45 pieces. How many pieces would you expect in a 10-ounce package?
a)
75 Pieces
b)
27-ounces
c)
27 pieces
d)
75-ounces
56.
A sixth-grade math teacher can grade 25 homework assignments in 20 minutes. Is he working at a faster rate or slower rate than grading 36 homework assignments in 30 minutes?
a)
Slower rate
b)
Faster rate
c)
He didn't grade them
d)
Everyone got 100
57.
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
58.
Enter the missing numbers to create equivalent ratios. 
1 : 3
6 : 18
2 : _
4 : _
a)
4 & 8
b)
4 & 12
c)
6 & 12
d)
6 & 8
59.

What is 0.452 as a percent?

a)

45.2%

b)

4.52%

c)

0.452%

d)

452%

60.

What is 60% as a fraction in simplest form?

(a)  

61.

What number is 40% of 80?

a)

30

b)

32

c)

320

d)

40

62.

42 is 25% of what number?

a)

10.5

b)

60

c)

168

d)

16.8

63.

16 is what percent of 80?

a)

20%

b)

200%

c)

128%

d)

12.8%

64.

Of the 160 7th graders at CMS, 96 donate canned goods to the food drive. What percent of the 7th graders donated food?

a)

60%

b)

66%

c)

96%

d)

99%

65.
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%
66.
Lacey bought a new purse that originally cost $25 and is on sale for $15. Find the percent of change in the price in the purse.
a)
Decrease of 40%
b)
Decrease of 10%
c)
Decrease of 30%
d)
Decrease of 20%
67.

The attendance for the basketball game was estimated to be 15,000 people but 12,500 people actually attended. What was the percent error?

a)
16.67%
b)
20%
c)
2500%
d)
80%
68.

Last school year the enrollment of E.O Green junior high school was 1275 students. This year the enrollment is 1350. Find the percent of change. Round your answer to the nearest whole percent AND include whether it is an increase or a decrease.

(a)  

69.
What percent of 25 is 60?
a)
24%
b)
2.4
c)
240%
d)
100%
70.

Cary's dad gave her $20.00 to spend on shoes at the mall. Cary spent 85% of the money on one pair of shoes. How much money does Cary's dad get back from his $20.00?

(a)  

71.

Thirty percent of 60 students polled said dogs were their favorite pets. How many of the 60 students preferred dogs?

a)

60

b)

30

c)

50

d)

18

e)

90

72.

Hank is buying a shirt that originally cost $25.00. It was on sale two weeks ago for 10% off. Today, it is an additional 20% off the original price. How much is the shirt now?

(a)  

73.

Lisa's little brother weighed 8 pounds when he was born. He now weighs 36 pounds. What is the percent increase in the boy's weight?

a)

350%

b)

4%

c)

40%

d)

78%

74.

Linda started a savings account for her nephew with $3,000. The account earned 5% simple interest. How much interest did the account accumulate in 4 months?

a)

$50.00

b)

$600.00

c)

$60,000.00

d)

$4999.95

75.

Mark took out a loan for $2,450.00 at 7% simple interest for 2 years. How much interest did he pay on the loan?

a)

$343

b)

$34,300

c)

$28.58

d)

$2,858.33

76.

An auto insurance company pays 12%

commission to its agents for each new insurance

policy they sell. How much commission does an

agent make on a $1,000 policy?

(a)  

77.

Bill paid $35.99 in tax on a laptop that cost $449.99. About what percent sales tax did Bill pay? (round to the nearest whole percent)

(a)  

78.

A large university accepts 70​% of the students who apply. Of the students the university​ accepts, 45​% actually enroll. If 20,000 students​ apply, how many actually​ enroll?

(a)  

79.

In a​ company, 80​% of the workers are women. If 1,140 people work for the company who​ aren't women​, how many workers are there in​ all?

(a)  

80.

CHALLENGE: A salesperson works 40 hours per week at a job where he has two options for being paid. Option A is an hourly wage of ​$27. Option B is a commission rate of 4​% on weekly sales. How much does he need to sell this week to earn the same amount with the two​ options?

(a)  

81.

CHALLENGE: At a real estate​ agency, an agent sold a house for ​$364,000. The commission rate is 5.5​% for the real estate agency and the commission rate for the agent is 30​% of the amount the real estate agency gets. How much did the real estate agency make on the​ house?

(a)  

82.
A pair of sandals costs $10.50.  There is a  7% sales tax.  What is the total cost of the sandals?
a)
$.74
b)
$10.50
c)
$12.78
d)
$11.24
83.
There are 32 students in a class.  Nine of those students are women.  What percent are men? (Round to the Nearest Tenth)
a)
71.9%
b)
73.5%
c)
32%
d)
32.9%
84.
Some doctors recommend that no more than 30% of a person's daily calories come from fats. Following this recommendation, if you eat 2,400 calories in a day, what is the maximum number that should come from fats?
a)
750
b)
2,370
c)
1,680
d)
720
85.
Jennifer made a fruit juice using red and green grapes. Thirty percent of the grapes are red. If she used a total of 60 grapes, how many red grapes should she use?
a)
18 green grapes 
b)
50% of the grapes 
c)
18 red grapes
d)
50 red grapes
86.
24 students in a class took an algebra test. If 18 students passed the test, what percent do not pass?
*HINT* Find out how many did not pass the class before you start! 
a)
25%
b)
75%
c)
75 students
d)
24 students
87.
Evaluate the expression.   Let g = 3    h = 9 
4h + 2g + 4
a)
42
b)
46
c)
34
d)
58
88.

If r=4, s=8r=4,\ s=8  , find  5r2s\frac{5r^2}{s}  

a)

6

b)

8

c)

10

d)

12

89.

Simplify
4(2d+3b)-4\left(2d+3b\right)  
When b = -9 and d = -6

a)

0

b)

144

c)

-144

d)

156

90.
What is the value of -2v + 2h - 8s if v = 9, h = 7, and s = -6?
a)
44
b)
-44
c)
54
d)
-54
91.

Simplify
57s9d5-7s-9d  
When s = 4 and d = 3

a)

-50

b)

6

c)

4

d)

-55

92.
Jamie made a scale drawing of his apartment building.  The building is 300 ft tall.  He wants his scale to be 1 inch : 10 ft.  How tall should his building be in his scale drawing?
a)
25 inches
b)
60 inches
c)
1/30 inch
d)
30 inches
93.
Find the perimeter of the large triangle.
a)
24
b)
36
c)
12
d)
54
94.

The scale from the actual coin to the photo is 6mm to 2 cm. What is the actual distance across the coin?

a)

8 mm.

b)

.25 mm

c)

9.75 mm

d)

11.25 mm

95.
The two right triangles below are similar. What is x, the missing side length in triangle DEF? 
a)
3.75
b)
9.75
c)
10
d)
12
96.
What is the scale factor from triangle ABC to triangle DEF?
a)
1/2
b)
7/3
c)
2/1
d)
10/3
97.

If a car travels at 40 km/hr for 4 hours, how much distance has it covered?

a)

160 km

b)

140 km

c)

120 km

d)

100 km