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Worksheets

Regents Final Exam Review 2023

Total questions: 100

Worksheet time: 5hrs 0mins

Name
Class
Date
1.

What is the Greatest Common Factor of 12 and 18?

a)

1

b)

3

c)

6

d)

8

2.

What is the Least Common Multiple of 4 and 14

a)

28

b)

42

c)

56

d)

24

3.

Write the fraction in simplest form.

1620\frac{16}{20}  

a)

1/2

b)

2/3

c)

4/5

d)

8/10

4.
a)

4 2/4

b)

4 1/2

c)

5 1/4

d)

5 3/4

5.

Convert to an improper fraction.

a)

5/22

b)

12/2

c)

4/12

d)

12/5

6.

What is the reciprocal of 2/5

a)

2/5

b)

4

c)

5/2

7.

Write 454^5 using repeated multiplication.

a)

4x5

b)

5x5x5x5

c)

4x4x4x4x4

d)

4x4

8.

What is 32 + 243^2\ +\ 2^4

a)

14

b)

17

c)

25

d)

15,625

9.

Find the square root of 25.

a)

5

b)

4

c)

25

d)

1

10.

What is 5 cubed?

a)

125

b)

25

c)

15

d)

625

11.
Find the prime number.
a)
10
b)
9
c)
7
d)
4
12.

Which of the following is the product of the prime factors of 32?

(prime factorization)

a)

2x2x2x4

b)

2x2x2x2x2

c)

4x4x2

d)

2x2x2x2x1

13.
Simplify the following:
(2 + 7 - 1) ÷ 22
a)

16

b)

2

c)

72.25

d)

8.75

14.

Leo’s backpack weighs 4.3 pounds. Chen’s backpack weighs 2.1 pounds. What is the difference int he weight of their backpacks?

a)

6.4 pounds

b)

2.2 pounds

c)

2.1 pounds

15.

Which of the following ratios is equivalent 3:4?

a)

6:12

b)

18:20

c)

15:24

d)

9:12

16.

Simplify the ratio 16:20.

a)

8:4

b)

1:2

c)

4:5

d)

5:4

17.

There are 16 girls in the class and 12 boys. What is the ratio of boys to girls in simplest form?

a)

3:4

b)

4:3

c)

3:7

d)

7:3

18.
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
19.

In a class there are boys and girls in the ratio 5:6. What fraction are boys?

a)

5/11

b)

6/5

c)

5/6

d)

6/11

20.

Which is a UNIT rate?

a)

100 miles / 3 hours

b)

35 miles / 1 hour

c)

70 miles / 2 hours

21.

You ordered 15 pizzas for your guests. Your total came to $97.50. What was the cost per pizza?

a)

$4.95 per pizza

b)

$5.75 per pizza

c)

$6.50 per pizza

d)

$7.25 per pizza

22.
Ashley's car runs 65 miles per hour. How many miles will it run in 5 hours?
a)
325 miles in 5 hours
b)
260 miles in 5 hours
c)
200 miles in 5 hours
23.
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
24.

Joe has 10 lbs of flour. He needs to store the flour in bags that can hold 1/2 lb each. How many 1/2 lb bags will Joe make?

a)

10 bags

b)

20 bags

c)

5 bags

d)

1/5 bag

25.
In a class, the ratio of boys to girls is 6:5. If there are 18 boys, how many girls are there?
a)
11
b)
24
c)
12
d)
15
26.

In a class, the ratio of boys to girls is 6:5. If there are 12 boys, how many kids are in the whole class?

a)

10

b)

18

c)

22

d)

11

27.
a)
3
b)
5.3
c)
1.08
d)
27
28.
Express 0.87 as a percent.
a)
0.87%
b)
8.7%
c)
87%
d)
870%
29.
Convert to a decimal
           3/4
a)
0.25
b)
0.34
c)
0.75
d)
0.44...
30.
In a class of 30 kids, 3 forgot to get their report cards signed. What percent is that?
a)
3%
b)
30%
c)
10%
d)
70%
31.

Marco made 3 out of 10 of the foul shots he took. What percent did he NOT make?

a)

30%

b)

50%

c)

70%

d)

10%

32.
12 is what percent of 30?
a)
60%
b)
40%
c)
250%
33.
A skateboard is on sale with a 25% discount. The original price was $120.
Find the sale price.
a)
60
b)
90
c)
110
d)
44
34.

Which of the following is NOT an integers

a)

0

b)

-5.3

c)

10

d)

4

35.
| –3 |
a)
3
b)
-3
c)
0.30
d)
30
36.
Compare:  -9  ?  -1
a)
>
b)
<
c)
=
37.

Compare: | -3 |  _  -5

a)

>

b)

<

c)

=

38.
Order from least to greatest:  -5, -17, 3, 0 
a)
3, 0, -5, -17
b)
3, 0, -17, -5
c)
-17, -5, 0, 3
d)
-5, -17, 0, 3
39.

How would you classify zero?

a)

positive

b)

negative

c)

neutral

40.

Joe has 500 points and Lisa has -200 points. How many more points does Joe have than Lisa?

a)

200

b)

500

c)

300

d)

700

41.
Express  a withdrawal of $100 as an integer.
a)
100
b)
-100
c)
0
d)
-0.100
42.

Express 100 feet below sea level as an integer.

a)

100

b)

0

c)

-100

d)

0.1

43.

Express a profit of $200 as an integer.

a)

200

b)

0

c)

-200

d)

0.200

44.
What is the opposite of 10? 
a)
10
b)
-10
c)
0
d)
20
45.
Evaluate |15| + | - 4|
a)
11
b)
-11
c)
19
d)
-19
46.

What is the inverse operation of subtraction?

a)

addition

b)

multipication

c)

division

47.

How would you solve 5x=20

a)

add five to both sides

b)

subtract five from both sides

c)

multiply both sides by 5

d)

divide both sides by 5

48.
x - 32 = 49
a)
x = 17
b)
x = 71
c)
x = 81
d)
x = 49
49.
10x = 90
a)
x = 80
b)
x = 100
c)
x = 10
d)
x = 9
50.
17 = x + 3
a)
x = 20
b)
x = 14
c)
x = 13
d)
x = 19
51.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
52.

Which of the following is an algebraic expression?

a)

3x + 2= 12

b)

5x + 3

c)

3x > 4

d)

x= 10

53.

Whats is the coefficient?

12x + 9

a)

12

b)

x

c)

9

54.

Whats is the constant?

12x + 9

a)

12

b)

x

c)

9

55.
Translate the following into an algebraic expression:
Twice a number 
a)
12h
b)
2 + h
c)
2h
d)
h - 2
56.

Which of the following is equivalent to 4a + 12a.

a)

16 + a

b)

8a

c)

15a

d)

16a

57.
5(a + 6)
a)
5a + 6
b)
a + 30
c)
5a + 30
d)
5a - 30
58.
Factor
8x - 12
a)
4(2x - 3)
b)
2(4x - 4)
59.

Simplify the following expression:

3 + 5x + 8 - 2x

a)

7x - 11

b)

7x + 11

c)

-3x + 11

d)

3x + 11

60.

Write the sentence below as an inequality:
a number b is greater than or equal to -16

a)

b ≥ -16

b)

b ≤ -16

c)

b = -16

d)

b > -16

61.
Which graph matches the inequality
r ≥ -6?
a)
A
b)
B
c)
C
d)
D
62.

Which of the following numbers would be in the solution set for x < 6?

a)

6

b)

9

c)

-2

d)

10

63.
Which graph matches the inequality
k < 3?
a)
A
b)
B
c)
C
d)
D
64.
Where is point E located?
a)
( 2, 0 )
b)
( 2 , 2 )
c)
( 0 , 2 )
d)
( 0 , 0 )
65.
Points G, H, and I are plotted on the coordinate grid.  How many units are between points G and H?
a)
9 units
b)
14 units
c)
13 units
d)
12 units
66.

In which quadrant is the following point?

(-3, 12)

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

67.

Points G, H, and I are plotted on the coordinate grid.  What point would have to be graphed to complete the rectangle?

a)

(7, -3)

b)

(-7, -3)

c)

(-7,6)

d)

(7, 6)

68.

What are the coordinates of the point (-1,5) when it is reflected across the y-axis?

a)

(1,5)

b)

(-1,-5)

c)

(-1,5)

d)

(1,-5)

69.
What is the distance between F (-2, 4) and I (3, 4)?
a)
-1 unit
b)
5 units
c)
1 unit
d)
8 units
70.

The perimeter of a triangle is 30 in. Two of the slides are 15 in and 10 in. What is the length of the third side?

a)

5 in

b)

55 in

c)

25 in

d)

15 in

71.
Find the area of the parallelogram.
a)
15.6 m2
b)
30.6 m2
c)
13.26 m2
d)
13 - 50.... thats 47
72.
Area or triangle?
a)
20 cm2
b)
56 cm2
c)
28 cm2
d)
27 cm2
73.
Find the area.
a)
14 in2
b)
18 in2
c)
52 in2
d)
28 in2
74.

The area of a sqaure is 64 sq in. Find the length of the side.

a)

8 in

b)

32 in

c)

16 in

d)

4,096 in

75.

The area of a rectangular garden is 96 square feet. If the length of the garden is 12 ft, find the width of the garden.

a)

4 ft

b)

8 ft

c)

586 ft

d)

1,152 ft

76.
a)
A
b)
B
c)
C
d)
D
77.
a)
A
b)
B
c)
C
d)
D
78.
Find the surface area of this cube.
a)
18 sq cm
b)
36 sq cm
c)
54 sq cm
d)
60 sq cm
79.
Find the surface area of this figure.
a)
148 cm²
b)
120 cm²
80.
What is the volume of this rectangular prism?
a)
26 cubic units
b)
24 cubic units
c)
24 square units
d)
26 square units
81.
What is the mean?
4,5,6,7,3,4,10,1
a)
40
b)
48
c)
5
d)
8
82.
What is the median of this data set?
3 , 17 , 17 , 11 , 8 , 13 , 5 , 18
a)
11
b)
12
c)
13
d)
17
83.
Find the range.
7, 1, 1, 7, 1, 4, 1
a)
6
b)
5
c)
7
d)
3
84.
Find the mode.
12, 5, 9, 18, 22, 25, 5
a)
22
b)
18
c)
9
d)
5
85.

Find the median for the set of numbers:

41, 13, 21, 83, 54, 37, 18, 66, 72

a)

44

b)

37

c)

54

d)

41

86.

How many people have only 1 pet?

a)

4

b)

6

c)

5

d)

3

87.

How many more people have 3 or 4 pets combined than 0 pets?

a)

1

b)

2

c)

5

d)

3

88.

How many people are represented on this table?

a)

4

b)

5

c)

10

d)

20

89.

What percent of the people had 2 pets?

a)

10%

b)

20%

c)

25%

d)

30%

90.

What is the ratio of the number of people that have 0 pets to the number of people that have 1 pet in simplest form?

a)

2:3

b)

3:5

c)

1:2

d)

1:3

91.

What is the shape of the data?

a)

left skewed

b)

symmetric

c)

uniform

d)

right skewed

92.
What is the range of the data?
a)
105
b)
110 and 101
c)
9
d)
7
93.
How many total students are in the science class?
a)
13
b)
6
c)
27
d)
25
94.

What is the spread of the data?

a)

2

b)

1

c)

4

d)

12

95.
Which interval shows the greatest number of pets?
a)
15-19
b)
0-4
c)
5-9
d)
10-14
96.
How many students have more than 1,000 songs on their MP3 player?
a)
5
b)
16
c)
10
d)
4
97.

What percent of the students have 10-14 pets?

a)

12.5%

b)

33%

c)

3%

d)

18%

98.

How many kids have 15-19 pets?

a)

8

b)

4

c)

3

d)

9

99.

Which of the following best describes the likelihood of the spinner landing on a number less than 6?

a)

impossible

b)

certain

c)

likely

d)

unlikely

100.

A bag has 3 red marbles, 2 blue and 4 green and 1 yellow. What is the theoretical probability of pulling a red?

a)

3/10

b)

3/9

c)

1/10

d)

1/9