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6th Grade Final Practice

Total questions: 84

Worksheet time: 3hrs 32mins

Name
Class
Date
1.

What is the first step in solving this problem? 42506÷5342506\div53

a)

Find how many times 53 will go into 425.

b)

Find how many times 42506 will go into 53.

c)

Move the decimal so that 53 becomes 530.

d)

Multiply 53 times 425

2.

What is the first step when evaluating this expression:

34.193+5.9434.193+5.94

a)

Ignore the decimals and just add the numbers

b)

Line up the decimals and put placeholders if needed

c)

Add a 3 to the end of 5.94 to make the last digit the same on both numbers.

d)

Take away the 3 from 34.193 so that both numbers have the same amount of digits behind the decimal.

3.

What is the value of the expression?

33.8÷5⋅933.8\div5\cdot9

a)

18.78

b)

0.751

c)

60.84

d)

1521

4.

What is the first step when evaluating this expression:

33.8÷5×933.8\div5\times9

a)

Multiply 5 x 9

b)

Divide 33.8 by 5

c)

Divide 33.8 by 9

d)

Order does not matter when multiplying and dividing an expression.

5.

For the following word problem, what operation should be done?

The total weight of 3 bags of chips is 5.67 ounces. Each bag has the same weight. What is the weight, in ounces, of one of the bags of chips?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

6.

Megan places a stick at an elevation of 50 feet above sea level. She places a second stick so that it is the same distance from sea level as the first stick but below sea level. What is the elevation, in feet, of the second stick?

a)

50 feet

b)

-50 feet

c)

100 feet

d)

-100 feet

7.

The pillars of the bridge sit on ground that is below sea level. What is a possible elevation, in meters, of the ground where the pillars sit?

a)

90 feet

b)

0 feet

c)

9 feet

d)

-100 feet

8.

An expression is shown.

3x−153x-15

Which expression is equivalent when x=8x=8 ?

a)

38−1538-15

b)

3⋅8−153\cdot8-15

c)

3+8−153+8-15

d)

3÷8−153\div8-15

9.

An expression is shown.

4x−2x−34x-2x-3

What is the value of the expression when x=4x=4 ?

a)

9

b)

17

c)

23

d)

5

10.

An expression is shown.

0.5(n+12)0.5\left(n+12\right)

What is the value of the expression when n=8n=8 ?

a)

10

b)

100

c)

0.10

d)

18

11.

An expression is given in words.

"eight less than a number, x, squared"

What is the numerical expression?

a)

8<x28<x^2

b)

8−x28-x^2

c)

x2−8x^2-8

d)

8>x28>x^2

12.

Josie has nn bananas. She has 5 more bananas than Tara.

Which expression describes the number of bananas Tara has?

a)

n−5n-5

b)

n+5n+5

c)

5−n5-n

d)

5+n5+n

13.

Mr. Spoores has xx cars in his collection. He gives 3 cars to Brooke.

Create an expression to model the number of cars Mr. Spoores has left.

a)

x−3x-3

b)

3−x3-x

c)

x÷3x\div3

d)

x+3x+3

14.


4 × 234\ \times\ \frac{2}{3}  

a)

63\frac{6}{3}  

b)

83\frac{8}{3}  

c)

23\frac{2}{3}  

d)

123\frac{12}{3}  

15.

1 23×2 131\ \frac{2}{3}\times2\ \frac{1}{3}  

a)

  3 89\ \ 3\ \frac{8}{9}  

b)

2 292\ \frac{2}{9}  

c)

3 293\ \frac{2}{9}  

d)

3 473\ \frac{4}{7}  

16.
Order the following decimals from least to greatest
0.54  0.5   0.85   0.8 
a)
0.5  0.54  0.8  0.85
b)
0.54  0.5  0.8  0.85
c)
0.85  0.8  0.5  0.54
d)
0.8  0.5  0.85  0.54
17.

Put these in order from least to greatest.

a)
b)
c)
d)
18.

What is the reciprocal of 611\frac{6}{11} ?

a)

−611-\frac{6}{11}

b)

−116-\frac{11}{6}

c)

116\frac{11}{6}

d)

66

19.

Another name for equivalent ratios could be:

a)

unit

b)

rate

c)

quantity

d)

equivalent fractions

20.
Solve for x please
a)
x  = 3
b)
x = -9
c)
x = 9
d)
x = 1/3
21.

If the cost for 5 ounces of ice cream if $2.50, what is the cost of 1 ounce of ice cream?

a)

$0.50

b)

$1.50

c)

$2.00

d)

$2.50

22.

You buy a 6 pack soda for $2.40. What is the cost of 1 can of soda?

a)

$0.40

b)

$0.50

c)

$0.60

d)

$0.80

23.

Micah works at a shoe store. For every 2 pairs of striped shoes he sells, he sells 3 pairs of neon shoes. Micah sold 12 pairs of striped shoes. How many pairs of neon shoes did he sell?

a)

5 pairs

b)

12 pairs

c)

18 pairs

d)

20 pairs

24.
26 is 5% of what number?
a)
1.3
b)
2.5
c)
25.95
d)
520
25.
Convert 6% to a decimal
a)
.06
b)
.6
c)
6.0
d)
60
26.

Write .506 as a PERCENT.

a)

5.06%

b)

506%

c)

50.6%

d)

500.6%

27.

What is the PERCENT equivalent to .84?

a)

84/100

b)

65%

c)

3%

d)

84%

28.
What is 2/5 as a percent? 
a)
40%
b)
.40
c)
25%
d)
50%
29.

Find the area of the parallelogram.

a)

50 sq cm

b)

25 sq cm

c)

52 sq cm

d)

30 sq cm

30.

What is the formula to find the area of a triangle? (choose all that apply)

a)

A = bh

b)

A = bh÷2A\ =\ bh\div2  

c)

A =12bhA\ =\frac{1}{2}bh  

d)

 A = h(b + b)÷2\ A\ =\ h\left(b\ +\ b\right)\div2  

31.
a)

46.2 ft2

b)

92.4 ft2

c)

46.2 ft

d)

92.4 ft

32.

What is the height of this triangle?

a)

7 cm

b)

8 cm

c)

28 cm2

d)

6 cm

33.

Find the area of the triangle.

a)

108 cm

b)

540 cm

c)

108 cm2

d)

54 cm2

34.

Select the triangle that shows the height for the base shown here.

a)
b)
c)
35.

A number with more than two factors

a)

even number

b)

odd number

c)

prime number

d)

composite number

36.

Which choice represents the total inches of rainfall that occurred in Georgia from June through September?

a)

44.5 inches

b)

44.508 inches

c)

122.07 inches

d)

131.9 inches

37.

Choose the correct statement to describe the following number.

 828^2  

a)

two squared 

b)

two cubed

c)

eight squared 

d)

eight cubed

38.

Select all words that could be used to describe a positive integer.

a)

below the surface

b)

above sea level

c)

earned

d)

deposit

39.
a)
|10| = 10
b)
|-10| = 10
c)
|-10| = -10
d)
-|10| = 10
40.
Which answer has the integers in order from least to greatest?
a)
− 9,   -5,  -3, 0,  4,  3
b)
− 9,   -5,  -3, 0,  3,  4
c)
− 5,   -9,  -3, 0,  4,  3
d)
 3, 4, 0, -3, -5, -9
41.

What's a way to define absolute value?

a)

The value of a number

b)

The opposite of a number

c)

The distance of a number from zero

d)

The multiplicative inverse of a number

42.

Find the absolute value. I -808 I

a)

808

b)

-808

43.

What is the GCF of 18 and 36?

(a)  

44.

Greatest common factors of 9 and 15

a)

5

b)

4

c)

3

45.

What are the factors of 24?

a)

2, 4, 6, 8, 12

b)

1, 2, 3, 4, 6, 8, 10, 12, 24

c)

1, 2, 3, 4, 5, 6, 7, 12, 24

d)

12, 24, 3, 4, 2, 8, 6, 1

46.

Greatest common factor of 10 and 20

a)

5

b)

2

c)

10

47.
The Greatest Common Factor of two prime numbers is
a)
0
b)
1
c)
There are no common factors.
d)
Themselves.
48.

Check ALL the numbers that are multiples of 9.

a)

3

b)

9

c)

18

d)

24

e)

36

49.
Cups are sold 5 to a package and plates are sold 10 to a package. If you want to have the same number of each item for a party, what is the least number of packages of each you need to buy?
a)
30
b)
20
c)
50
d)
10
50.

Find the least common multiple (LCM) of 5 and 25.

a)

5

b)

10

c)

25

d)

125

51.

Find the least common multiple (LCM) of 4 and 6.

a)

4

b)

6

c)

12

d)

24

52.

Find the least common multiple (LCM) of 10 and 20.

a)

5

b)

10

c)

20

d)

40

53.

7x + 2y + 5

What are the variables in this algebraic expression?

a)

x

b)

y

c)

5

d)

7x

e)

+

54.

Evaluate when a = 15 and b = 3:

a2−b2a^2-b^2  

a)

216

b)

270

c)

140

d)
7
55.

Evaluate.

b2 + 4

when b = 3

a)

10

b)

12

c)

13

d)

11

56.

Evaluate. a=2 b=3 c=4

ab +ba

a)

12

b)

5

c)

17

d)

24

57.

a = 3,  b = 4,  and c = 6

a2+b−ca^2+b-c  

a)

6

b)

7

c)

14

58.

Select the TWO possibly values that satisfy the inequality.
 17≥x17\ge x  

a)

9

b)

12

c)

19

d)

20

59.
What inequality does the number line graph represent?
a)

x ≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ -3

60.
Match the graph with its inequality.
a)
b > –2
b)
b < –2
c)
b ≥ –2
d)
b ≤ –2
61.
When graphing b< 6 would you use an open or closed circle?
a)

Open

b)

closed

62.
Solve for x:
a)
20
b)
7
c)
10
d)
3
63.
Which choice describes the step needed to isolate the variable? (Tap outside of the gray box to see the equation.)
a)
Divide both sides by 11
b)
Multiply both sides by 11.
c)
Add 11 to both sides.
d)
Subtract 11 to both sides.
64.
Pairs of operations that undo each other
a)
inverse operations
b)
solution
c)
inequality
65.

77,357 ÷\div 43=

a)

2,789

b)

1,800

c)

1,899

d)

1,799

66.

 144÷12144\div12  

a)

7

b)

12

c)

13

d)

11

67.

59,050 ÷\div 25 =

a)

2,695

b)

2,362

c)

6,842

d)

3,832

68.
2 is the ___ of the problem
a)
dividend
b)
quotient
c)
divisor
69.

Convert fraction to a decimal

1/200

(a)  

70.
Name the decimal that is pictured: 
a)
14
b)
0.014
c)
1.4
d)
0.14
71.

Multiply Decimals


3 x 3 =

a)

9

b)

0.9

c)

0.09

d)

0.009

72.

What is 0.4 in word form?

a)

four hundredths

b)

fourteen hundredths

c)

four tenths

d)

four thousandths

73.

0.5×5 =....0.5\times5\ =....  

a)

25

b)

2.5

c)

0.25

d)

0.025

74.

Which point represents (2.5, 3) ?

a)

K

b)

L

c)

M

d)

J

75.

Where is point A located:

a)

(1, 1,5)

b)

(1.5, -1)

c)

(-1.5, 1)

d)

(2, -1)

76.

Which ordered pair describes a point located 5 units to the left of the origin, and 3 units below the x-axis?

a)

(5, 3)

b)

(-5, -3)

c)

(5, -3)

d)

(-5, 3)

77.
Give the coordinates for POINT I.
a)
(-2, 5)
b)
(-2, -5)
c)
(2, 5)
d)
(2, -5)
78.

Numbers, symbols and operators (such as + and ×) that show the value of something; these do NOT have an equal sign.

a)

inequalities

b)

Expressions

c)

equations

d)

coefficient

79.

The number of times a number or item occurs in a data set.

a)

frequency

b)

data

c)

mean

d)

mode

80.

Which of the following numbers IS an integer?

a)

5.55

b)

34\frac{3}{4}

c)


12\frac{1}{2}

d)

0

81.
At Donald's Donuts the number of donut holes in a bag can vary. Help Donald find the mode.
12,10,10,10,13,12,11,13,10
a)
13
b)
12
c)
11
d)
10
82.

What's another word for median?

a)

average

b)

mode

c)

middle

d)

mean

83.
Mode:
0   1   1   2   3   4
a)
1
b)
2
c)
3
d)
4
84.
Dr. Dre is a dentist. He needs to report on the average number of cavities that his patients have.
1,0,1,5,6,3,4
a)
3.33
b)
2.85
c)
3
d)
3.5