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Math Test Prep - 6th Grade

Total questions: 74

Worksheet time: 4hrs 42mins

Name
Class
Date
1.

No calculators.  Solve:
 14÷38\frac{1}{4}\div\frac{3}{8}  
Answer in simplest terms.

a)

2/3

b)

3/32

c)

1/8

d)

1/4

2.

The coach paid $246 for 12 basketball uniforms. What is the unit price?

a)

$200 / 1 uniform

b)

$205 / 1 uniform

c)

$20 / 1 uniform

d)

$20.50 / 1 uniform

3.

Which event could be represented by the integer -7?

a)

Adding $7 to your bank account.

b)

Growing 7 inches in 2 years

c)

7 feet below sea level

d)

7 feet above sea level

4.

The pencil is 15 centimeters long.

The ratio of centimeters to meters is 100 to 1.

How many meters long is the pencil?

a)

0.015 meters

b)

0.15 meters

c)

1.5 meters

d)

150 meters

e)

1500 meters

5.

No calculators.


Solve 0.149 + 8.27

a)

9.76

b)

94.76

c)

8.419

d)

84.19

6.

What is the ratio of triangles to squares?

a)

2:4

b)

4:2

c)

2:6

d)

4:6

7.

No calculators. Solve:


20.28 ÷ 7.8


Hint: Use estimation to pick the best answer!

a)

2.6

b)

26

c)

260

d)

0.26

8.

What is the area of this parallelogram?

a)

16 ft

b)

16 sq ft

c)

12 sq ft

d)

32 sq ft

9.

Write an algebraic expression for:

"5 less than the quotient of k and 10"

a)

k ÷ 10 - 5

b)

k * 10 - 5

c)

5 - k ÷ 10

d)

5 - k * 10

10.

The submarine is at 1145 feet below sea level.


The submarine can be found between which 2 integers?

a)

0 and 1150

b)

0 and -1140

c)

1140 and 1150

d)

-1140 and -1150

11.

What is 15% out of a total of 30?


Hint: Think about which answer makes sense.

a)

45

b)

4.5

c)

200

d)

2

12.

Solve the equation:


9x = 81

a)

x = 9

b)

x = 1/9

c)

x = 729

d)

0.1111111

13.

What is the prime factorization of 189?


Hint: It needs to only use prime numbers.

a)

3 * 3 * 3 * 7

b)

3 * 3 * 7

c)

9 * 7

d)

63 * 7

14.

Which inequality is shown in the picture?

a)

x > 8

b)

x ≥ 8

c)

x < 8

d)

x ≤ 8

15.

Which value shows a peak?

a)

2

b)

3

c)

4

d)

5

e)

6

16.

Evaluate the expression if x = 4


5 + x2

a)

13

b)

16

c)

21

d)

9

17.

Order the values from least to greatest.


1/5, 1/10, 0.5


Hint: Change them all into decimals or all into fractions with common denominators.

a)

1/10, 0.5, 1/5

b)

1/5, 0.5, 1/10

c)

1/10, 1/5, 0/5

d)

0.5, 1/5, 1/10

18.

Write an equation for this word sentence:


The product of a number and 10 is 142

a)

n * 10 = 142

b)

n + 10 = 142

c)

n ÷ 10 = 142

d)

n - 10 = 142

19.

No calculators. Solve:
 425÷11104\frac{2}{5}\div1\frac{1}{10}  

a)

4

b)

1/4

c)

121/25

d)

5

e)

4 1/2

20.

The ratio of cats to dogs is 5:4. If there are 20 dogs, how many cats are there?

a)

20

b)

25

c)

4

d)

5

21.

Find the area of the shaded region.

a)

24 sq cm

b)

36 sq cm

c)

72 sq cm

d)

48 sq cm

22.

No calculators. Solve:

 35×229\frac{3}{5}\times2\frac{2}{9}  

a)

3/4

b)

1 1/3

c)

27/100

d)

4

23.

Below are the elevations of 4 lakes. Which has the highest elevation?


Lake Murphy = -32 feet

Lake Leon = 25 feet

Lake Kipper = -12 feet

Lake Theodore = 0 feet

a)

Lake Murphy

b)

Lake Leon

c)

Lake Kipper

d)

Lake Theodore

24.

What is the area of the triangle?

a)

8 sq in

b)

16 sq in

c)

24 sq in

d)

36 sq in

25.

For the triangle shown, what is the length of side JK?

a)

4

b)

-4

c)

5

d)

-5

26.

Mr. Jones grades 12 exams in 2 hours. At that rate, how many hours would it take him to grade 48 exams?

a)

2

b)

4

c)

6

d)

8

27.

The movie theater had 4 showings on Friday and 4 showings on Saturday.


On Friday, the amount of bottles of water sold each hour is represented by the data: 89, 95, 86, 54


On Saturday, the amount of bottles of water sold each hour is represented by the data: 97, 81, 63, 63


Which statement is true?

a)

The mean is the same for each data set.

b)

The mean for Friday is greater than the mean for Saturday

c)

More total bottles of water were sold on Saturday

d)

The mode is the same for each data set.

28.

No calculators. Solve:


1.03 * 5.1


Hint: Think about which answer makes sense.

a)

5.263

b)

52.63

c)

5.253

d)

52.53

29.

Simplify by combining like terms.


8y + 4y - y + 6

a)

19y

b)

11y + 6

c)

12y + 6

d)

13y + 6

30.

What is 65% as a decimal?

a)

65

b)

0.65

c)

6.5

d)

0.065

31.

The expression 5(a - 6) is equivalent to which expression?

a)

5a - 30

b)

5a - 6

c)

5(a - 30)

d)

5a - 11

32.
What is the MODE of this data?
a)
100
b)
20
c)
80, 85, and 90
d)
none
33.
How many students spent 7 hours doing homework that week?
a)
1
b)
3
c)
5
d)
6
34.

The PE teacher had 2 classes. There are 28 students in Encore 1 and 24 students in Encore 2. The teacher divided both classes into groups of equal size. How many students are in each group?

a)

8

b)

6

c)

4

d)

2

35.

The weights, in pounds, of 7 dogs are shown below. What is the median, Q1 and Q3 for a box plot?


Data: 14, 15, 16, 20, 21, 24, 25

a)

20, 24, 15

b)

15, 20, 24

c)

15, 24, 20

d)

20, 15, 24

36.

No calculators. Solve:
 114×491\frac{1}{4}\times\frac{4}{9}  
Simplify your answer.

a)

4/9

b)

5/9

c)

1 1/4

d)

3/9

37.

No calculators. Solve:


(33 - 5) - 3

a)

1

b)

2

c)

19

d)

30

38.

From the origin of a coordinate plane, you travel 2 units west and 5 units north. What ordered pair do you end at?

a)

(2, 5)

b)

(-2, 5)

c)

(-2, -5)

d)

(2, -5)

39.
How do you write an ordered pair?
a)
(X,X)
b)
(Y,X)
c)
(X,Y)
d)
(Y,Y)
40.
Which letter matches the coordinate (4, -6)?
a)
G
b)
Z
c)
K
d)
None of the above
41.
Where is point E located?
a)
( 2, 0 )
b)
( 2 , 2 )
c)
( 0 , 2 )
d)
( 0 , 0 )
42.

What is the distance from Point A to Point B?

a)

8 units

b)

16 units

c)

0 units

d)

32 units

43.
Which of the coordinates given could be the fourth point used to form a rectangle?
a)
(3, -6)
b)
(-3, -6)
c)
(-6, 3)
d)
(4, -6)
44.

The water level of the pond dropped 9 inches. Which of the following shows a greater change in water level?

a)

Increase of 7

b)

Decrease of 7

c)

Increase of 5

d)

Decrease of 11

45.

Find the Area of this trapezoid:

a)

84 m2

b)

168 m2

c)

112 m2

d)

56 m2

46.

Find the area of this triangle.

a)

150 ft2

b)

100 ft2

c)

50 ft2

d)

35 ft2

47.
What is the volume of this rectangular prism?
a)
26 cubic units
b)
24 cubic units
c)
24 square units
d)
26 square units
48.
Calculate the Volume
a)
410 cm3
b)
420 cm3
c)
402 cm3
d)
401 cm3
49.
Which label would NOT be appropriate for volume.
a)
square miles
b)
inches3
c)
cm3
d)
cubic feet
50.
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
51.
Find the mean of these numbers:
2, 57, 38, 42, 6
a)
29
b)
38
c)
50
d)
145
52.
Find the median of these numbers:
4,2,7,4,3
a)
2
b)
5
c)
7
d)
4
53.
To find the _________ you add up all the numbers and then divide by how many numbers you have.
a)
Mean
b)
Median
c)
Mode
d)
Range
54.
To find the ________ you put all numbers in order from least to greatest and find the number that is in the middle.
a)
Mean
b)
Median
c)
Mode
d)
Range
55.
A data set can have more than one mode
a)
True
b)
False
56.

Order the integers from least to greatest:


-9, 9, 0, -8, 8

a)

9, 8, 0, -8, -9

b)

9, 8, 0, -9, -8

c)

-9, -8, 0, 8, 9

d)

-8, -9, 0, 8, 9

57.

If 3 watches cost $5, how many watches could you buy for $25?

a)

3

b)

5

c)

15

d)

25

58.

Mark is growing plants for his science project. He needs 5 seeds for each pot. Which expression helps him decide how many seeds to buy where p = the number of pots?

a)

1/5 * p

b)

5 * p

c)

p + 5

d)

p - 5

59.
How many students were greater than or equal to 60 inches tall?
a)
21
b)
11
c)
17
d)
6
60.
How many cities have temperatures between 70 degrees and 99 degrees?
a)
44
b)
34
c)
26
d)
62
61.
How many students scored between a 86 and a 90?
a)
1
b)
3
c)
6
d)
10
62.
How many students are between 48 and 51 inches tall?
a)
14
b)
8
c)
2
d)
0
63.
Find the Surface Area
a)
556 cm2
b)
278 cm2
c)
680 cm2
d)
340 cm2
64.
What is the surface area of this figure?
a)
200 cm 2
b)
800 cm 2
c)
400 cm 2
d)
100 cm 2
65.
Identify the net.
a)
square pyramid
b)
cube
c)
hexagonal cube
d)
square
66.

Find the surface area

a)

21 square inches

b)

134 square inches

c)

240 square inches

d)

268 square inches

67.

Which one is the correct net of a cube?

a)

A

b)

B

c)

C

d)

D

68.

This is a net of what shape?

a)

Cube

b)

Rectangular Prism

c)

Triangular Prism

d)

Square Pyramid

69.

This is a net of what shape?

a)

Cube

b)

Triangular Prism

c)

Triangular Pyramid

d)

Square Pyramid

70.

This is a net of what shape?

a)

Cube

b)

Triangular prism

c)

Triangular pyramid

d)

Square pyramid

71.

Is x = 3 a solution to the equation:
 19x=13\frac{1}{9}x=\frac{1}{3}  

a)

Yes, x equals 3

b)

No, x does not equal 3

72.

How many terms are in the expression:


5 + 4x + 3

a)

0

b)

1

c)

2

d)

3

73.

Solve the equation:


a - 5= 12

a)

a = 7

b)

a = 5

c)

a = 17

d)

a = 16

74.

No calculators. Solve:


10.92 ÷ 2.8

a)

0.39

b)

3.9

c)

39

d)

390

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