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Worksheets

December 2022 Semester Review

Total questions: 82

Worksheet time: 2hrs 58mins

Name
Class
Date
1.

Classify the number (choose all that apply): -20

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

irrational number

2.

Classify the number (choose all that apply): 3/4

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

irrational number

3.

Classify the number (choose all that apply): 9

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

irrational number

4.

Classify the number (choose all that apply):

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

irrational number

5.

Classify the number (choose all that apply): 0.15555...

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

irrational number

6.

Classify the number (choose all that apply): 0

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

irrational number

7.

What is the best classification for this number? 1/4

a)

integer

b)

rational

c)

natural number

d)

whole

8.

What is the best classification for this number? .35

a)

whole

b)

rational

c)

Integer

d)

natural number

9.
Numbers like -3,-2,-1,0,1,2,3 are called?
a)
whole numbers
b)
integers
c)
rational numbers
d)
natural numbers
10.
0.89 is a rational number?
a)
True
b)
False 
11.

Vivian had 17 pencils. David had 32 pencils. How many more pencils does David have than Vivian?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

12.

Vanessa walks to and from school 5 days a week. Each way is 2 miles. How many miles does she walk in all for the whole week?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

13.

In the following word problem, what is the operation needed to solve the first step?


Annabel was running in the Fun Run to raise money for her school. Her parents donated $8 per lap. Her grandparents donated $4 per lap. She ran 12 laps. How much money did she raise during the Fun Run?

a)

addition

b)

subtraction

c)

multiplication

d)

division

14.

375 pieces of vouchers were distributed to every school. Calculate the number of vouchers distributed to 25 schools.

a)

9 375

b)

15

c)

400

15.

6. A company made 1,215 yards of copper wire. They want to wrap the same amount of wire on each of three spools. How many yards of wire will be on each spool?

a)

45 yards

b)

405 yards

c)

414 yards

d)

43 yards

16.

Melanie has 126 blue marbles Dan has 242 blue marbles. How many blue marbles do they have in all

a)

368 blue marbles

b)

116 blue marbles

c)

300 blue marbles

d)

200 blue marbles

17.

Robert's book has 45 pages. He will read 5 pages a day until he finishes reading the book. How many days will it take for Robert to finish the book?

a)

8

b)

7

c)

9

d)

6

18.

There are 9 rows of trees at the park. The same number of trees are planted in each row. If there is a total of 81 trees. how many trees are planted in each row?

a)

72

b)

9

c)

6

d)

7

19.

Charice wants to fill 4 shelves with books. If she can put 8 books on each shelf, how many

books does she need?

a)

32

b)

40

c)

24

d)

16

20.

Nova had some dog treats. She ate 45 treats on Monday and 18 treats on Tuesday. How many treats did she have?


What kind of math will you use to solve this problem?

a)
b)
c)
d)
21.

Linn went to the zoo. She saw 39 zebras and 42 snakes. How many animals did she see on her trip?


What kind of math will you use to solve this problem?

a)
b)
c)
d)
22.

Ben has played 514 rounds of Fortnite. Ellie has played 735 rounds. How many more rounds of Fortnite has Ellie played than Ben?


What kind of math will you use to solve this problem?

a)
b)
c)
d)
23.

What does the P in PEMDAS stand for?

4 lines
24.

Solve.

(3 × 4)  (2 × 6)\left(3\ \times\ 4\right)\ -\ \left(2\ \times\ 6\right)  

a)

9

b)

0

c)

24

d)

10

25.

Solve.

4 + (7 × 2)4\ +\ \left(7\ \times\ 2\right)  



(a)  

26.

What does the E in PEMDAS stand for?

4 lines
27.

Solve. 
424^2  

a)

8

b)

6

c)

12

d)

16

28.

Solve.

333^3  



(a)  

29.

What does the MD in PEMDAS stand for?

4 lines
30.

Solve.

9 × 2 ÷69\ \times\ 2\ \div6  

a)

27

b)

9

c)

4

d)

3

31.

Solve.

10÷2  × 410\div2\ \ \times\ 4  



(a)  

32.

What does the AS in PEMDAS stand for?

4 lines
33.

Solve.

8 +4  28\ +4\ -\ 2  

a)

12

b)

10

c)

nine

d)

7

34.

Solve.

8+79+108+7-9+10  



(a)  

35.
Evaluate each expression.
| 9 |
a)
0.9
b)
9
c)
-9
d)
90
36.
What is the absolute value of |-26|.
a)
26
b)
-26
c)
0
d)
-20
37.
| -5 | =
a)
-5
b)
5
38.
| –3 |
a)
3
b)
-3
c)
0.30
d)
30
39.
What is the absolute value of |-37|.
a)
0
b)
37
c)
-37
d)
30
40.

Simplify the expression by using the Distributive Property:


3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c + 15

d)

-6c - 15

41.

Simplify the expression by using the Distributive Property:


-3(2c - 5)

a)

-6c - 15

b)

-6c + 15

c)

6c + 15

d)

6c - 15

42.

Simplify the expression by using the Distributive Property:


-4(k - 7)

a)

-4k + 28

b)

-4k - 28

c)

4k + 28

d)

4k - 28

43.

Simplify the expression by using the Distributive Property:


9(5c + 4)?

a)

45c + 36

b)

81c

c)

45c + 4

d)

49c

44.

Simplify the expression by using the Distributive Property:


6(x + 3y)

a)

6 + 18y

b)

6x + 18

c)

24xy

d)

6x + 18y

45.

Simplify the expression by using the Distributive Property:


-3(2c - 5)

a)

-6c - 15

b)

-6c + 15

c)

6c + 15

d)

6c - 15

46.

Simplify the expression by using the Distributive Property:


3(2h + 3c + 2)

a)

6h + 9c + 2

b)

6h + 9c + 6

c)

2h + 3c + 6

d)

5h + 6c + 5

47.

Simplify the expression by using the Distributive Property:


4(5b - 6f - c)

a)

20b - 24f - 4c

b)

9b - 10f - 4c

c)

45b - 46f - 4c

d)

20b + 24f + 4c

48.

Simplify the expression by using the Distributive Property:


8(4b - 5)

a)

32b + 40

b)

32b - 40

c)

32(b - 40)

d)

84b - 85

49.

Simplify the expression by using the Distributive Property:


8(4b - 5)

a)

32b + 40

b)

32b - 40

c)

32(b - 40)

d)

84b - 85

50.

Simplify the expression by using the Distributive Property:


2(3v - 8)

a)

6v-16

b)

6v-8

c)

6v-6

d)

6v+8

51.
x + 8 = 15
a)
x = 23
b)
x = 7
c)
x = 120
d)
x = 15/8
52.
13 + y = 20
a)
y = 13
b)
y = 33
c)
y = 7
d)
y = 20/13
53.
n - 4 = 12
a)
n = 16
b)
n = 8
c)
n = 4/12
d)
n = 12/4
54.
x - 10 = 20
a)
x = 20/10
b)
x = 20
c)
x = 10
d)
x = 30
55.
8 - n = 12
a)
x = 4
b)
x = 20
c)
x = - 4
d)
x = -20
56.
5 n = 30
a)
n = 150
b)
n = 25
c)
n = 5
d)
n = 6
57.
6 y = 42
a)
y = 7
b)
y = 6
c)
y = 36
d)
y = 48
58.
1/2 n = 10
a)
n = 10
b)
n = 5
c)
n = 20
d)
n = 12
59.
y/3 = 8
a)
y = 3/8
b)
y = 8/3
c)
y = 24
d)
y = 83
60.
2/3 n = 8
a)
n = 238
b)
n = 12
c)
n = 24/2
d)
n = 7 1/3
61.
Solve the equation: 
x + 7 = 12
a)
x = 5
b)
x = 19
c)
x = 4
d)
x = 84
62.
Solve the equation:
4p = 16
a)
p = 12
b)
p = 64
c)
p = 3
d)
p = 4
63.
What is the solution of the equation? 
8 = x + 1
a)
9
b)
7
c)
6
d)
8
64.
y - 33 = 147
a)
y = 114
b)
y = 177
c)
y = 180
d)
Answer not Given
65.
r + 12 = 25
a)
37
b)
13
c)
300
d)
Answer not Given
66.
To Solve the Equation Below, you'd
x - 62 = 123
a)
add 62 to each side
b)
subtract 62 from each side
c)
multiply each side by 62
d)
Add 123 to each side
67.
What equation matches this situation?
Robyn had some video games then bought 4 more.  Now she has a total of 10 games.
a)
v - 4 = 10
b)
v + 4 = 10
c)
10 - 4 = v
d)
Answer not Given
68.
What is your first step when you solve  x + 5 = 12
a)
Add 5 to 5 and add 5 to 5 to 12
b)
Subtract 5 from 5 and subtract 5 from 12
c)
Subtract 12 from 12 and subtract 12 from 5
d)
Add 12 to 12 and add 12 to 5
69.

What is the inverse of addition?

a)

multiplication

b)

division

c)

subtraction

d)

addition

70.

What is the inverse of multiplication?

a)

Addition

b)

Subtraction

c)

Division

71.

What is the inverse of division?

a)

Addition

b)

Multiplication

c)

Subtraction

72.

What is the inverse of subtraction?

a)

Division

b)

Multiplication

c)

Addition

73.

Mary grew 45 watermelons. Alyssa grew 42 watermelons. How many watermelons did they grow in all ?

a)

87 watermelons

b)

3 watermelons

c)

90 watermelons

d)

15 watermelons

74.

A restaurant served 18 pizzas during lunch and 25 during dinner today. How many pizzas were served today ?

a)

7 pizzas

b)

43 pizzas

c)

6 pizzas

d)

430 pizzas

75.

Melanie has 48 muffins, which she needs to box up into dozens (12). How many boxes does she need?

a)

2 boxes

b)

4 boxes

c)

36 boxes

d)

60 boxes

76.

There are 32 oak trees currently in the park. Park workers had to cut down 17 oak trees that were damaged. How many oak trees will be in the park when the workers are finished ?

a)

49 oak trees

b)

8 oak trees

c)

15 oak trees

d)

45 oak trees

77.

There are 35 scissors in the drawer. Melanie placed 49 more scissors in the drawer. How many scissors are now there in all ?

a)

149 scissors

b)

7 scissors

c)

14 scissors

d)

84 scissors

78.

There are 38 calories in a candy bar. How many calories are there in 10 candy bars ?

a)

380 calories

b)

48 calories

c)

28 calories

d)

3.8 calories

79.

Sara, Tim, Jessica, and Sally each have 14 Pokemon cards. How many Pokemon cards do they have in all ?

a)

28 cards

b)

14 cards

c)

18 cards

d)

56 cards

80.

There are 72 free books in 5th grade. If the books are divided evenly among 9 students, how books would each 5th grade student get?

a)

8 books

b)

63 books

c)

81 books

d)

648 books

81.

Jason has 38 orange balloons. Mike has 40 times more orange balloons than Jason. How many orange balloons does Jason and Mike have ?

a)

78 orange balloons

b)

2 orange balloons

c)

1520 orange balloons

d)

1558 orange balloons

82.

Alyssa had 141 dimes in her bank. She spent 87 of her dimes. How many dimes does she have now ?

a)

228 dimes

b)

54 dimes

c)

10 dimes

d)

146 dimes