Free Printable 6th Grade Final Exam Review 2023

1.

What is the reason that absolute value is always written as a positive?

a)

Absolute value is talking about numbers so it must be positive.

b)

Absolute value does not always have to be positive.

c)

Absolute value is like a clock it has only positive numbers.

d)

Absolute value is talking about distance, distance is always measured by positive numbers.

2.

Compare |-5| to the |-10|

a)

|-5| > |-10|

b)

|-5| = |-10|

c)

|-5| < |-10|

3.

If $h=7$ , find $h^2$

a)

14

b)

49

c)

72

d)

36

4.

$\left(a-b\right)^2$ where a=9 and b=3

a)

36

b)

12

c)

6

d)

93

5.

Which is an example of a unit rate?

a)

70 miles/2 hours

b)

100 miles/3 hours

c)

35 miles/1 hour

6.

What is the unit cost for 7 candy bars for $5.25?

a)

0.75

b)

1.75

c)

0.50

d)

75

7.

Find the area of the triangle. Feel free to use a calculator. https://www.desmos.com/testing/northcarolina/scientific

a)

19.8 km²

b)

37.8 km²

c)

18.9 km²

d)

35 km²

8.

How do you find the AREA of a TRIANGLE?

a)

Length x Width

b)

Base x Height divided by 2

c)

1/3 (Length x width)

d)

Base x Height

9.

Another word for mean is...

a)

sum

b)

product

c)

average

d)

equation

10.

To find the mean of a set of numbers you...

a)

multiply all the numbers then divide by ho many numbers are in the set

b)

add the numbers together, then divide by how many numbers are in the set

11.

Find the mean of these numbers:
2, 57, 38, 42, 6

a)

29

b)

38

c)

50

d)

145

12.

The height of three basketball players is 210 cm, 220 cm and 191 cm.

What is their average height?

a)

210

b)

207

c)

220

d)

200

13.

Which equation has x = 5 as the solution?

a)

x + 15 = 10

b)

2x = 5

c)

2x = 10

d)

x/2 = 10

14.

The value of the variable that makes an equation true is the

a)

solution

b)

coefficient

c)

constant

d)

unknown

15.

Tell whether the value of the variable is a solution to the equation:

$2t+5=15;\ \ t=4$

a)

Yes

b)

No

16.

Find the distance for :

(4,8) and (-9,8)

a)

-13 Units

b)

5 Units

c)

13 Units

d)

-5 Units

17.

When points are in the SAME quadrant you :

a)

add the values

b)

add the absolute values

c)

subtract the values

d)

subtract the absolute values

18.

When points are in the DIFFERENT quadrant you :

a)

add the values

b)

add the absolute values

c)

subtract the values

d)

subtract the absolute values

19.

What is the distance between points (8, 7) and (10, 7)?

a)

23 units

b)

5 units

c)

2 units

d)

12 units

20.

What are the coefficients in an expression?

a)

The numbers multiplied by the variables

b)

The operations in the expression

c)

The constants in the expression

d)

The exponents in the expression

21.

What is the value of the expression $3\cdot2+5^2$ ?

(a)

22.

7 less than a number d

a)

7 - d

b)

d - 7

23.

Name the coefficients in the expression:
2x - 5 + 6c + m

a)

2, 6, 1

b)

2, 5, 6

c)

2, 5

d)

2, 6

24.

(a) are parts of an expression that are separated by + or -

25.

How many terms are in the expression?

8a - 5

a)

2

b)

3

c)

4

d)

5

26.

Identify the part in red.

3y + 5

a)

term

b)

variable

c)

coefficient

d)

constant

27.

Identify the word for the part in red.

2x + y

a)

coeffiecient

b)

term

c)

variable

d)

constant

28.

Which expression is equivalent to 7(3a + 4b)?

a)

21a + 28b

b)

10a + 11b

c)

21a + 4b

d)

10a + 28b

29.

Which expression is equivalent to 6y + 22y + y?

a)

28y + 1

b)

29y

c)

22y + 7

d)

29

30.

Which expression is equivalent to 6(3y - 2y + 7)?

a)

18y + 7

b)

21y - 14y + 7

c)

18y + 42

d)

6y + 42

31.

Find the Surface area of the shape below

a)

258 m²

b)

268 m²

c)

248 m²

d)

280 m²

32.

Is surface area.......

a)

Filling in a 3 dimensional shape

b)

wrapping the outside of a 3 dimensional shape

33.

a)

3.75 cm2

b)

37.5 cm2

c)

73.5 cm2

d)

2.5 cm2

34.

There are 36 quarters in my coin collection. If my coin collection has 45% quarters, how many total coins do I have?

a)

75%

b)

80 %

c)

75 coins

d)

80 coins

35.

A student earned a grade of 80% on a math test that had 30 problems. How many problems on this test did the student answer correctly?

a)

17 problems

b)

24 problems

c)

20 problems

d)

18 problems

36.

What is the least common multiple (LCM) of 4 and 10?

a)

4

b)

40

c)

15

d)

20

37.

GCF of 32 and 40

a)

2

b)

4

c)

6

d)

8

38.

What are the first ten prime numbers?

a)

0,1,2,3,5,7,9,11,13,15

b)

2,3,5,7,11,13,17,19,23,

29

c)

0,1,2,3,7,11,13,17,19,21

d)

2,4,6,8,10,12,14,16,18,

20

39.

Match the following

a)

2

1.

prime

b)

9

2.

composite

c)

0, 1

3.

neither

d)

2 x 2 x 3

4.

Prime Factorization of 12

e)

6

5.

gcf of 12 and 6

40.

4 less than 5

a)

4 - 5

b)

5 - 4

c)

4p - 5

d)

5 - 4p

41.

What does "difference" mean?

a)

add

b)

subtract

c)

multiply

d)

divide

42.

What does "quotient" mean?

a)

add

b)

subtract

c)

multiply

d)

divide

43.

What does "product" mean?

a)

Multiply

b)

Divide

c)

Add

d)

Subract

44.

Translate to an algebraic expression.

14 less than the quantity k times 6

a)

6k - 14

b)

14 + 6k

c)

14k - 6

d)

14 - 6k

45.

When you graph an inequality, you use a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

c)

≤, <

d)

≥, >

46.

When graphing an inequality, you use an open dot when you use which symbol?

a)

<, >

b)

≤, ≥

c)

≤, <

d)

≥, >

47.

Match the graph with its inequality.

a)

b > –2

b)

b < –2

c)

b ≥ –2

d)

b ≤ –2

48.

What inequality does the number line graph represent?

a)

x ≤ -4

b)

x ≥ -4

c)

x < -4

d)

x < 4

49.

Complete the ratio table.

a)

2

b)

4

c)

0

d)

1

50.

Kaleigh is purchasing apps on her iphone. Based on the table How much would it cost of 7 apps?

a)

$3

b)

$21

c)

$24

d)

$50

51.

What is true about opposites?

a)

They are on the same side of zero

b)

They are the same distance away from zero.

c)

They are not really opposites

52.

What is the opposite of 0?

a)

-0

b)

1

c)

0 does not have an opposite

d)

0

53.

What is the opposite of -4.5?

a)

-4.5

b)

0

c)

4.5

d)

1/4.5

54.

Jose swims 3 laps in a pool every 2 minutes. How long would it take him to swim 27 laps?

a)

8 minutes

b)

9 minutes

c)

16 minutes

d)

18 minutes

55.

After 3 hours, Ernie had travelled 195 miles. If he travels at a constant speed, how far will he have travelled after 5 hours?

a)

400 miles

b)

325 miles

c)

575 miles

d)

650 miles

56.

3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c + 15

d)

-6c - 15

57.

5(2x-11y)

a)

-10x-55

b)

10x-55y

c)

10x-55

d)

10x+55

58.

Change the following mixed number to an improper fraction.

$3\ \frac{2}{5}$

a)

$\frac{11}{5}$

b)

$\frac{17}{5}$

c)

$\frac{6}{5}$

d)

$\frac{2}{5}$

59.

$10\ \frac{1}{2}\div9\ \frac{2}{6}$

a)

$1\ \frac{2}{7}$

b)

$1\ \frac{1}{8}$

c)

$2\ \frac{2}{3}$

d)

$2\ \frac{4}{9}$

60.

Divide the following fractions.

$6\frac{3}{4}\div\frac{4}{5}$

4 lines

61.

20% is what fraction?

a)

1/5

b)

2/5

c)

1/2

d)

1/4

62.

90% is what as a fraction?

a)

9/10

b)

4/5

c)

9/100

d)

2/3

63.

There are 18 boys and 7 girls in a class. Write the ratio of girls to boys.

(a)

64.

The 3 ways to write a ratio are

a)

read, write, demonstrate

b)

fraction, decimal, percent

c)

add, subtract, multiply

d)

the word to, a colon, and as a fraction

65.

Beth went to a petting zoo with 23 animals. 11 were goats, 4 were sheep, and the rest were dogs. What is the ratio of sheep to goats?

a)

11 to 4

b)

$\frac{4}{11}$

c)

4 : 23

d)

11 to 23

66.

Volume is the amount of space an object takes up.

a)

True

b)

False

67.

What is the volume of this rectangular prism?

a)

2 cm³

b)

5 cm³

c)

40 cm³

d)

15 cm³

68.

Which formula can be used to find the volume of a rectangular prism?

a)

length x width

b)

length x width x height

c)

height x length

d)

length + width + height

69.

_{^{Find the Volume}}

a)

428.4 cm³

b)

412.8 cm³

c)

404.2 cm³

d)

400 cm³

70.

3 x 8 - (9 - 7)³

a)

16

b)

18

c)

0

71.

Which is equivalent to 5 x 5 x 5 x 5

a)

5³

b)

5⁴

c)

4⁵

d)

5⁵

72.

In 2³what is the base?

a)

2

b)

3

c)

2³

73.

Evaluate the expression.

$72\div9+\left(100-3^4\right)$

(a)

74.

Jewel buys 3 yards of fabric to make a cat bed. She starts the project by cutting 4 feet of fabric off the end. How many feet long is the remaining piece of fabric?

a)

5 feet

b)

12 feet

c)

9 feet

d)

17 feet

75.

(a) ft = (b) inches

Choose from the below words

1

12

2

3

24

4

30

16

76.

6 ft = (a) inches

77.

At sea level is represented by what quantity?

(a)

78.

Which scenario represents - 9.

a)

At sea level

b)

9 feet above sea level

c)

9 feet below sea level

79.

The scuba diver went 10 feet below sea level and then rose up 2 feet. What integer represents the divers location?

a)

-12

b)

-10

c)

-8

d)

8

e)

-6

80.

Write the expression: Carl drove six miles more than twice the distance driven by Rita.

a)

$2x\ +\ 6$

b)

$6x\ +\ 2$

c)

$6\ +\ 20x$

81.

Shawn and his friends are going to the State Fair. It costs $12 to park their car. Tickets to get in are $10 per person. If p represents the number of people, which expression represents how much money Shawn and his friends will spend?

a)

12p + 10p

b)

12p - 10p

c)

12p + 10

d)

12 + 10p

6th Grade Final Exam Review 2023

Total questions: 81

Worksheet time: 3hrs 41mins

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