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Mid-Term Review 2024

Total questions: 88

Worksheet time: 6hrs 38mins

Name
Class
Date
1.
Using a Factor Tree, find the prime factorization of 75.  
a)
52 x 3
b)
5 x 5 x 3
c)
32 x 5
d)
15 x 5
2.
Use a number tree to find the prime factorization of 48
a)
4x2x6
b)
4x22x3
c)
3x24
d)
12x4
3.
Create a factor tree and find the prime factorization for 80
a)
24⋅5
b)
42⋅5
c)
2⋅2⋅2
d)
8⋅5⋅2
4.

Rewrite using distributive property and GCF.

24 + 30

a)

6(4 + 5)

b)

6(4) + 6(2)

c)

8(3 + 4)

d)

6 x 2 + 5

5.

Rewrite the sum of the numbers as the product of their GCF and another sum.

36 + 45 = ?

a)

6(6 + 9)

b)

3(12+15)

c)

9(4 + 5)

6.
Henry and Margo both began traveling around a circular track. Henry is riding his bike, and Margo is walking. It takes Henry 7 minutes to make it all the way around, and Margo takes 12 minutes. How much time will pass until they meet at the starting line?
a)
84 minutes
b)
48 minutes
c)
854 minutes
d)
78 minutes
7.
Jenny goes to  karate class every 12 days.and too the library every 18 days. On December 1st she went to both class and the library. On what date will she do both class and go to the library?
a)
24 days
b)
36 days
c)
42 days
d)
52 days
8.
Lisa is making activity baskets to donate to charity.  She has 12 coloring books and 36 crayons.  What is the greatest number of baskets she can make if each type of toy is equally distributed among the baskets?
a)
2
b)
12
c)
36
d)
6
9.
Shannon is making identical balloon arrangements for a party. She has 32 maroon balloons, 24 white
balloons, and 16 orange balloons. She wants each arrangement to have the same number of each
color. What is the greatest number of arrangements that she can make if every balloon is used?
a)
6
b)
2
c)
4
d)
8
10.

Put the following in order LEAST to GREATEST:

0.54, 2/5, 0.45

a)

2/5, 0.45, 0.54

b)

0.54, 2/5, 0.45

c)

0.54, 0.45, 2/5

d)

0.45, 2/5, 0.54

11.
Order the following from greatest to least:
0.35,  ⅜,  42%, ⅘, 0.2
a)
⅘,  42%,  ⅜, 0.35, 0.2
b)
  ⅜,  42%, ⅘, 0.2, 0.35
c)
⅘, 0.35,  ⅜,  42%,  0.2
d)
0.2, 0.35, ⅜, 42%  ⅘, 
12.
List in order from least to greatest.
5/4, 56%, 1.07, 4/5
a)
5/4, 56%, 1.07, 4/5
b)
1.07, 4/5, 5/4, 56%
c)
56%, 1.07, 4/5, 5/4
d)
56%, 4/5, 1.07, 5/4
13.
Solve for x 
a)
x = 16
b)
x = 28
c)
x = 1/26
d)
x = 26
14.
Solve for x 
a)
x = 15
b)
x = 11
c)
x = 1/11
d)
x = 20
15.
Solve for x 
a)
x = 6
b)
x = 25
c)
x = 28
d)
x = 17
16.

A baseball player makes 4 hits in every 7 times at bat. At this rate, if he made 24 hits, how many times was he at bat?

a)

42 times at bat

b)

96 times at bat

c)

168 times at bat

d)

24 times at bat

17.
Mr. Dulin runs 5 miles in 42 minutes.  He plans to run in a 25 mile race.  Based on his current speed, about how long will it take him to complete the race?
a)
210 minutes
b)
8.4 minutes
c)
1050 minutes
d)
200 minutes
18.
Pat needs 14 sticks of pepperoni to make 28 pizzas.  How many sticks of pepperoni are needed to make 36 pizzas?  
a)
15 pizzas
b)
252 sticks
c)
18 sticks
d)
18 pizzas
19.

It takes Emma 18 minutes to type and spell check 14 pages of manuscript. How long will it take her to type and spell check 77 pages?

a)

18 minutes

b)

99 minutes

c)

60 minutes

d)

1,386 minutes

20.
If 30 kids in the class like grape juice, how many kids like pineapple juice?  Use the tape diagrams to answer.
a)
4
b)
30
c)
70
d)
40
21.

In a bag of Jolly Ranchers, the ratio of blue to red is 3 to 4. If I have a 15 blue jolly ranchers, how many are represented in the entire tape diagram?

a)

20

b)

105

c)

7

d)

35

22.

The ratio of brownies to cookies is 3:5. If there are 75 cookies, how many brownies are there?

a)

15

b)

32

c)

45

d)

60

23.

The Miller's drove 510 miles in 8.5 hours. How many miles did they travel in just one hour?

(a)  

24.

Four students spent $9.40 on school lunches. How much did each student spend if they each bought the same lunch?

(a)  

25.

A spider traveled 10 feet in 25 minutes. At this rate, how many feet did it travel in 1 minute?

(a)  

26.

Doug read 231 pages in 8 hours. He reads the same number of pages each hour. How many pages could he read in one hour?

(a)  

27.

Samantha bought 20 shirts for $38.40. What was the cost per shirt?

(a)  

28.

Convert the decimal .28 to a fraction in lowest terms.

a)

28/100

b)

14/50

c)

7/25

d)

2/7

29.

Convert the decimal .35 as a fraction in lowest terms.

(a)  

30.

Convert 45% to a fraction in lowest terms.

(a)  

31.

What is 3/5 as a decimal?

a)

.5

b)

.3

c)

.6

d)

.75

32.

Write 75% as a fraction in lowest terms.

(a)  

33.
Angela made 90% of the 50 free throws she attempted.  How many free throws did Angela make?
a)
10
b)
27
c)
41
d)
45
34.
In the school election James ran against Ben for secretary.  James received 75% of the votes.  If 240 students voted, how many votes did James receive?
a)
175
b)
160
c)
153
d)
180
35.

The students in Robbie's grade voted for a class field trip. 80% of the students voted for the zoo. If there are 240 students in Robbie's grade, how many students voted for the zoo?

a)

220 students

b)

192 students

c)

144 students

d)

200 students

36.
A pizza shop has 25 employees. Of these, 14 are students. What percent are students?
a)
14%
b)
56%
c)
33%
37.
Sally got 22 questions wrong on her quiz that had 40 questions on it. What is the percentage of the questions she got wrong?
a)
45%
b)
55%
c)
32%
d)
95%
38.

60% of the animals at a pet shop are dogs. If there are 42 dogs at the shop, then how many animals are there altogether?

a)

70

b)

50

c)

25

d)

45

39.

60% of the animals at a pet shop are dogs. If there are 42 dogs at the shop, then how many animals are there altogether?

(a)  

40.

A fruit stand’s most popular fruit is strawberries, which account for 35% of their total sales. If they usually sell $70 worth of strawberries each day, what would their usual daily income be?

(a)  

41.
The day after a party, 1/2 of the cake remains.  If 4 people share the rest of the cake equally, what fraction of the cake does each person get? 
a)
4/2 of a cake
b)
1/8 of a cake
c)
8 cakes
d)
1/4 of a cake
42.
During clean up time, Mr. Williams found 2 gallon containers of ice cream that were 2/3 full.  How much ice cream was left?  
a)
1  1/3 
b)
2  2/3  
c)
1 
d)
2/6  
43.
A scientist has a bottle that is 5/6 full of solution.  He uses 2/5 of the solution in the bottle for an experiment.  How much of a full bottle of solution does he use?
a)
1/3 of a bottle
b)
1/2 of a bottle
c)
14/30 of a bottle
d)
1/5 of a bottle
44.

Julissa was allowed to spend 3/4 of her allowance at the mall. Of that money, she spent 1/2 of it on a purse. What part of her allowance did she spend on a purse?

a)

3/8

b)

6/4

c)

1/2

d)

3/2

45.

The cookie recipe calls for 3/4 cup of chocolate chips. How many chocolate chips would be needed to make 2 batches of cookies?

a)

3/8 cup

b)

1 1/2 cups

c)

6/8 cup

d)

8/3 cup

46.

Mary biked 95.25 kilometers in 15 days. Which shows the average distance Mary biked each day?

a)

6.35 kilometers

b)

0.63 kilometers

c)

65 kilometers

d)

Not Here

47.

Claude cuts a piece of paper that is 8.25 inches wide into 5 pieces of equal width. Which shows the width of each piece of paper?

a)

0.165 inches

b)

3.25 inches

c)

1.65 inches

d)

41.25 inches

48.
 Jackie rode her bike around Capaha Park last week. The trail is 8.54 miles long. If she rode around the park 4 times last week, how many miles did she travel in all?
a)
3.41 miles
b)
8.54 miles
c)
34.16 miles
d)
341.6 miles
49.

Hannah bought 3.4 pounds of apples. She paid $.89 per pound. How much did Hannah pay for the apples?

a)

$3.00

b)

$3.02

c)

$3.01

d)

$3.03

50.
Which is equivalent to 5 x 5 x 5 x 5
a)
53
b)
54
c)
45
d)
55
51.
Which is equivalent to 34 ?
a)
27
b)
9
c)
81
d)
12
52.
Which is equivalent to 24?
a)
8
b)
20
c)
16
d)
12
53.
In the fruit bowl there are 4 apples, 2 bananas, and 5 pears.  What is the ratio of pears to ALL fruit?
a)
5:4
b)
5:11
c)
2:5
d)
6:5
54.
Which represents the relationship of oranges to fruit?
a)
2:6
b)
2:4
c)
4:6
d)
4:2
55.
Patrick has 2 black, 3 red, and 5   white toy cars. What is the ratio of red toy cars to all the toy cars? 
a)
3:5
b)
1:3
c)
3:11
d)
3:10
56.
Describe the relationship between the following two things:
Circles to Shapes?
a)
Part-To-Part
b)
Part-To-Whole
57.
Describe the relationship between the following two things:
Strawberries to Fruit?
a)
Part-To-Whole
b)
Part-To-Part
58.
Describe the relationship between the following two things:
Teachers to Students
a)
Part-To-Part
b)
Part-To-Whole
59.

40 pints is how many gallons?

a)

8 gallons

b)

5 gallons

c)

12 gallons

d)

10 gallons

60.

144 inches is how many yards?

a)

15 yards

b)

12 yards

c)

3 yards

d)

4 yards

61.

Round 1.823 to the nearest whole number.

a)

1

b)

1.8

c)

2

d)

2.8

62.
Round 5.592 to the nearest hundredth.
a)
5.60
b)
5.50
c)
6.59
d)
5.59
63.
Round 47.941 to the nearest tenth.
a)
47.9
b)
48
c)
47.91
d)
48.1
64.

Find the selling price.

Cost to the store: $50

Markup: 10%

a)

$55

b)

$5

c)

$500

d)

$45

65.

Find the selling price.

Cost to the store: $80

Markup: 60%

a)

$12.80

b)

$128

c)

$48

d)

$32

66.

Find the sale price.

Original price: $50

Discount: 15%

a)

$35.00

b)

$7.50

c)

$42.50

d)

$40.00

67.

Find the selling price.

Original price: $299

Discount: 75%

a)

$74.75

b)

$75

c)

$224.25

d)

$300

68.
Ralph buys a computer for $675. The sales tax rate is 6%. How much did Ralph pay for the computer?
a)
40.50
b)
715.50
c)
6.00
d)
634.50
69.
Kimberly's family has a dinner bill of $26 and wants to leave a 15% tip for their server. How much tip are they leaving?
a)
29.90
b)
39.00
c)
4.00
d)
3.90
70.
How much tax would you pay on a new TV that is $899 at Best Buy, if the tax rate is 6.5%?
a)
$957.44
b)
$841
c)
$58.43
71.
Angela spent $30.00 at a restaurant.  If she leaves a 15% tip, how much will her TOTAL BILL be? 
a)
30.00
b)
45.25
c)
$ 34.50
d)
35.65
72.
l - 4 l  + l -1 l
a)
5
b)
3
c)
4
d)
-5
73.
Evaluate the expression.
|–5| + 8
a)
3
b)
13
c)
-13
d)
-3
74.
Evaluate.
| -56| - 10 =
a)
66
b)
36
c)
26
d)
46
75.

Which letter matches the coordinate (4, -6)?

a)

C

b)

Z

c)

K

d)

None of the above

76.
Where is point E located?
a)
( 2, 0 )
b)
( 2 , 2 )
c)
( 0 , 2 )
d)
( 0 , 0 )
77.
Where is point A located?
a)
( 7 , 2 )
b)
( 2 , 6 )
c)
( - 2 , 7 )
d)
( 2 , 7 )
78.
How do you correctly write an ordered pair?
a)
(y,x)
b)
(x,y)
c)
(0,0)
d)
(yy,x)
79.

Find the distance between (0, 6) and (0, -4)

a)

2

b)

-2

c)

0

d)

10

80.
What is the distance between points (-7, 8) and (2, 8)?
a)
4 units
b)
5 units
c)
3 units
d)
9 units
81.
If you were to plot the point (4, -12) what would be the correct method?
a)
Up 4, left 12
b)
Right 4, up 12
c)
Down 4, left 12
d)
Right 4, down 12
82.
If you were to plot the point (-2, -6) what would be the correct method?
a)
Down 2 , Left 6
b)
Left 6, Down 2
c)
Left 2, Down 6
d)
Left 2, Up 6
83.
What is the distance between points (3, -5) and (3, -8)?
a)
1 unit
b)
2 units
c)
3 units
d)
4 units
84.
What is the distance between points (-7, 8) and (2, 8)?
a)
4 units
b)
5 units
c)
3 units
d)
9 units
85.
If it is 85 degrees in California and -4 degrees in Nebraska, how many degrees warmer is it in California? 
a)
-89
b)
81
c)
89
d)
-81
86.
A football team gained 9 yards on one play and then lost 22 yards on the next. Write a sum of integers to find the overall change in field position.
a)
-9 + (-22) = -13
b)
9 + (-22) = 13
c)
9 + (-22) = -13
d)
none
87.
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
88.
A climber starts descending from 533 feet above sea level and keeps going until she reaches 10 feet below sea level.  How many feet did she descend?
a)
523 feet
b)
543 feet
c)
0 feet
d)
500 feet

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