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6th Grade Final Exam STUDY GUIDE

Total questions: 40

Worksheet time: 49mins

Name
Class
Date
1.

Hunter is making a dessert. He uses 2/3 of a cup of sugar and 2 cups of flour. How much sugar is used per cup of flour?

a)
1/3 cup
b)
4/3 cup
c)
2/3 cup
d)
1/6 cup
2.

Kinley biked 6 miles in 49.2 minutes. If she keeps the same pace, how long will it take her to bike 13 miles?

a)
A) 28.8 minutes
b)
B) 98.4 minutes
c)
C) 106.6 minutes
d)
D) 22.71 minutes
3.

The last social studies test had 80 questions. If Kaiden answered 64 questions correctly, what percent of the questions did he get correct?

a)
A) 8%
b)
B) 80%
c)
C) 16%
d)
D) 12.5%
4.

Bently made $483 for 42 hours of work. Dalton made $371 for 35 hours of work. If both men worked 59 hours, what would be the difference in their earnings?

a)
A) $678.50
b)
B) $112
c)
C) $53.10
d)
D) $625.40
5.

There are 160 children in a soccer league. 60% of those children are in middle school. How many children in the baseball league are in middle school?

a)
A) 96
b)
B) 10
c)
C) 100
d)
D) 220
6.

A motorcycle traveled 260 miles in 240 minutes. How fast was the motorcycle traveling?

a)
A) 500 mph
b)
B) 108 mph
c)
C) 65 mph
d)
D) 20 mph
7.
A container ship is hauling containers across the ocean. Each shipping container has 15 boxes of car parts. If there are 40 containers, how many boxes of car parts are on the container ship?
a)
A) 55
b)
B) 400
c)
C) 25
d)
D) 600
8.

There are 4 times as many boys in a school as girls. What is the ratio of boys to girls?

a)
A) 4:1
b)
B) 1:4
c)
C) 4:5
d)
D) 8:4
9.
What is the LCM of 5 and 12? (Least Common Multiple)
a)
60
b)
1
c)
120
d)
180
10.

Logan put a point at –9 on a number line. Finley put her point three units to the right of Logan's point. Where is Finley's point?

a)
–6
b)
–12
c)
6
d)
12
11.
What is the GCF of 26 and 40? (Greatest Common Factor)
a)
2
b)
4
c)
8
d)
13
12.
Which number line shows the correct location of the given points: M(2.5), N(–3½) and P(½)?
a)
A)
b)
B)
c)
C)
d)
D)
13.
Which expression is equivalent to 45 + 15?
a)
15(3 + 1)
b)
3(15 + 1)
c)
5(3 + 5)
d)
9(5 + 15)
14.
$1,456 was raised from the sale of 14 tickets to a fundraising event. What was the cost of each ticket?
a)
$98
b)
$104
c)
$1,470
d)
$20,384
15.
Which two expressions are equivalent?
a)
A) 5x + 2(3 + 4x)
b)
B) 10x + 4 – x – 2
c)
C) 9x + 6
d)
D) 13x + 6
16.
Children in an art class are older than age 6. Which inequality represents the age of any child in the class?
a)
A) a > 6
b)
B) a < 6
c)
C) a <= 6
d)
D) a >= 6
17.
Which expression represents “Four more than one half of the sum of a number and three?
a)
A)
b)
B)
c)
C)
d)
D)
18.
Which expression represents how the value of y in the table is calculated?
a)
A) y = 3x
b)
B) y = x + 3
c)
C) x = y – 3
d)
D) x = 3y
19.

Caleb walks 7.25 miles each day. Which equation could be used to determine the number of miles (m) Caleb walks after a given number of days (d)?

a)
A) m = 7.25 + d
b)
B) m = 7.25d
c)
C) d = 7.25 ÷ m
d)
D) d = 7.25m
20.

Aubree earns $9.50 per hour at work. She made a total of $304 last week. The equation 9.5x = 304 can be used to determine how many hours she worked. How many hours did Aubree work last week?

a)
A) 31.25 hours
b)
B) 213 hours
c)
C) 2,888 hours
d)
D) 32 hours
21.
When plotted, which set of coordinates creates a right triangle on a coordinate plane?
a)
A) (3, 3), (–3, 3), (0, –3)
b)
B) (0, 2), (2, 0), (0, –2)
c)
C) (4, 2), (0, 2), (4, 6)
d)
D) (4, –1), (–1, 4), (4, 1)
22.
What is the surface area of the shape represented by the given net?
a)
A) 264.6 in.^2
b)
B) 91.8 in.^2
c)
C) 126.9 in.^2
d)
D) 448.2 in.^2
23.
What is the area of the shaded region?
a)
A) 0.4 ft.^2
b)
B) 17.68 ft.^2
c)
C) 49.6 ft.^2
d)
D) 20.8 ft.^2
24.
A rectangular prism is 6 feet long and 8 feet wide. If the volume is 216 feet^3, what is the height?
a)
A) 4 ft.
b)
B) 168 ft.
c)
C) 4.5 ft.
d)
D) 15.4 ft.
25.
What is the volume of a rectangular prism that is 3 units long, 1½ units tall and 2 units wide?
a)
A) 9 cubic units
b)
B) 6.5 cubic units
c)
C) 6 cubic units
d)
D) 12 cubic units
26.
A triangle is formed on a coordinate plane by connecting the points (4, 3), (4, 9) and (10, 3). What is the area of the triangle?
a)
A) 18 square units
b)
B) 12 square units
c)
C) 36 square units
d)
D) 24 square units
27.
What is the surface area of a rectangular prism that is 6 inches long, 2 inches wide and 4 inches tall?
a)
A) 48 in.^2
b)
B) 44 in.^2
c)
C) 88 in.^2
d)
D) 176 in.^2
28.
Find the area of the parallelogram.
a)
A) 21,120 mm^2
b)
B) 960 mm^2
c)
C) 704 mm^2
d)
D) 660 mm^2
29.
The rectangle below will be filled with squares with ¼ inch sides. How many squares can fit inside the rectangle?
a)
A) 9.625
b)
B) 154
c)
C) 38.5
d)
D) 50
30.

A bar graph shows that 50 people like chocolate ice cream and 75 people like vanilla. What is the ratio of chocolate lovers to vanilla lovers?

a)

2:3

b)

3:4

c)

3:2

d)

4:3

31.

If Justin can type 408 words in 4 minutes, how many words can he type per minute? (What is his unit rate)

a)
102 words per minute
b)
100 words per minute
c)
400 words per minute
d)
412 words per minute
32.
Ilana made $45 babysitting for 6 hours. How much does she make per hour?
a)
$75 per hour
b)
$7.50 per hour
c)
$270 per hour
d)
$2.70 per hour
33.
Mrs. Breon has 110 fiction books and 90 non-fiction books on her shelf.  What percent of her library is non-fiction? 
a)
45%
b)
90%
c)
100%
d)
10%
34.
Convert 6% to a decimal
a)
.06
b)
.6
c)
6.0
d)
60
35.

Clarence saved 19% of the money he earned. If he earned $90, how much did he save?

a)

$17.10

b)

$1,710

c)

$4.74

d)

$20

36.
a- b2
Evaluate if a=4 and b =2
a)
4
b)
20
c)
-4
d)
12
37.
What is the least common multiple (LCM) of 5 and 11? 
a)
25
b)
55
c)
11
38.

What is the Least Common Multiple of 12 and 10?

a)

22

b)

60

c)

110

d)

120

39.
GCF of 32 and 40
a)
2
b)
4
c)
6
d)
8
40.
GCF 24 and 36
a)
8
b)
6
c)
12
d)
4