Free Printable Math Benchmark 3

1.

Is surface area.......

a)

Filling in a 3 dimensional shape

b)

wrapping the outside of a 3 dimensional shape

2.

Find the surface area of the rectangular prism.

a)

94 cm. squared

b)

60 cm. squared

c)

12 cm. squared

d)

19 cm. squared

3.

Find the area

a)

8 ft²

b)

8 ft³

c)

4 ft²

d)

4 ft³

4.

Find the area.

a)

27.3 mi²

b)

54 mi²

c)

27 mi²

d)

54.6 mi²

5.

How do you find the AREA of a TRIANGLE?

a)

Length x Width divided by 2

b)

Length x width

c)

1/3 (Length x width)

d)

Base x Height

6.

What do we call this object below?

a)

Net

b)

Triangle

c)

Geometry

d)

y = mx + b

7.

Find the Surface Area.

a)

15m²

b)

16m²

c)

18m²

d)

20m²

8.

Find the AREA of this figure.

a)

160 square feet

b)

160 feet

c)

160

d)

1600 feet

9.

What is the volume of the rectangular prism when it is fully packed if there are no gaps or overlaps in the unit cubes?

a)

15 cubic inches

b)

60 cubic inches

c)

30 cubic inches

d)

10 cubic inches

10.

FInd the Surface area of the shape below?

a)

258 m²

b)

268 m²

c)

248 m²

d)

278 m²

11.

Find the area.

a)

84 in²

b)

74in²

c)

150 in²

d)

154 in²

12.

A square pyramid is covered with decorative wrapping paper with no overlap. The net of the box is shown on the right. How many square centimeters of wrapping paper are needed to cover the surfaces of the box?

a)

108 cm²

b)

324 cm²

c)

180 cm²

d)

432 cm²

13.

Evaluate each expression.
| 9 |

a)

0.9

b)

9

c)

-9

d)

90

14.

| –3 |

a)

3

b)

-3

c)

0.30

d)

30

15.

Which is the greatest integer?

a)

-33

b)

-31

c)

-28

d)

-17

16.

Which is the least integer?

a)

1

b)

-1

c)

-2

d)

-8

17.

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

18.

A number GREATER than 0.

a)

positive number

b)

negative number

c)

integer

d)

signed number

19.

A number LESS than 0.

a)

positive number

b)

negative number

c)

integer

d)

signed number

20.

Where do you always start from on a number line?

a)

?

b)

-0

c)

0

d)

-1

21.

Express an integer: a debt of $50

a)

50

b)

-50

22.

Express as an integer: at sea level

a)

0

b)

-0

c)

1

d)

-10

23.

What is the opposite of 10?

a)

10

b)

-10

c)

0

d)

20

24.

Express an integer: a withdrawal of $100

a)

100

b)

-100

25.

A submarine was 1800 ft below sea level. It dove another 1500 feet deeper. Which integer represents its location?

a)

-300

b)

-1300

c)

-3300

d)

300

26.

Which of the following statements is true about |-5|?

a)

|-5| represents a negative number

b)

|-5| represents the distance from -5 to 0 on a number line

c)

|-5| represents the opposite of 5

d)

|-5| represents the negative distance from 5 to 0 on a number line

27.

What is the opposite of -3?

a)

3

b)

0

c)

-1/3

d)

1/3

28.

What is the opposite of zero?

a)

1

b)

-1

c)

0

d)

it doesn't have one

29.

Opposite of 142

a)

-142

b)

142

c)

+142

30.

Which is NOT negative?

a)

Withdrawal

b)

Loss

c)

Fine

d)

Bonus

31.

Which integer represents a gain of 10 yards on a football play?

a)

+10

b)

-10

32.

Boston has a temperature of -20 degrees. It is colder in New York than in Boston. Select the value that could represent the temperature of New York

a)

0

b)

30

c)

-30

d)

-19

33.

Darrel is currently 20 feet below sea level. Which correctly describes the opposite of Darrel's elevation?

a)

20 feet below sea level

b)

20 feet above sea level

c)

2 feet below sea level

d)

At sea level

34.

What is an integer?

a)

A whole number

b)

A fraction

c)

A negative number only

d)

Negative and positive whole number and 0

35.

A decrease of 5 inches.

a)

positive

b)

negative

36.

30 ft. above sea level

a)

positive

b)

negative

37.

A pay cut of 120 dollars

a)

positive

b)

negative

38.

Comparing integers -1 ____ -11

a)

<

b)

>

c)

+

39.

Comparing integers -1 ____ -11

a)

<

b)

>

c)

+

40.

Compare integers using <, >, = -5 ___ -4

a)

<

b)

>

c)

=

41.

Comparing integers -10 ____ 10

a)

<

b)

>

c)

=

42.

What is the opposite of 10?

a)

10

b)

-10

c)

0

d)

20

43.

Which ordered pair is in quadrant 1?

a)

(1.5, 2)

b)

(-4, 0.5)

c)

(-1.5, -1)

d)

(2.5, -3)

44.

The ordered pair (2.5, -3) is in quadrant 4.

a)

True

b)

False

45.

What is the x-value for the point in quadrant 2?

a)

2.5

b)

0.5

c)

-4

d)

-1.5

46.

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)

47.

The four sections of the coordinate plane are called

a)

sections

b)

quadrants

c)

corners

d)

axes

48.

Which axis is the vertical line?

a)

X axis

b)

Y axis

49.

Which axis is the horizontal line?

a)

X axis

b)

Y axis

50.

Which coordinate in this ordered pair is the X coordinate?

(5, -8)

a)

5

b)

-8

c)

neither

d)

both

51.

Which coordinate in this ordered pair is the Y coordinate?

(10, -23)

a)

10

b)

-23

c)

both

d)

neither

52.

Ordered pairs are a reflection of each other when the numbers are the same but the _______ are different.

a)

coordinates

b)

axis

c)

origin

d)

signs

53.

What are the signs of a coordinate in quadrant III?

a)

(+,+)

b)

(+,-)

c)

(-,-)

d)

(-,+)

54.

(9, -3) reflected over the X axis would be

a)

(9, -3)

b)

(-9, -3)

c)

(9, 3)

d)

(3, -9)

55.

(5, 4) reflected over the Y axis would be

a)

(5,4)

b)

(4,5)

c)

(5,-4)

d)

(-5,4)

56.

What is an ordered pair?

a)

two random numbers

b)

two numbers that show the value for the X and Y

c)

one positive and one negative number

d)

two numbers that are ordered

57.

In what quadrant would you find (-4, 12)?

a)

QI

b)

QII

c)

QIII

d)

QIV

58.

In what quadrant would you find (-23, -4)?

a)

Qi

b)

QII

c)

QIII

d)

QIV

59.

What are the signs of the coordinates for QIV?

a)

(-, -)

b)

(-, +)

c)

(+, +)

d)

(+, -)

60.

When plotting an ordered pair on the coordinate plane, which comes first, the X coordinate or the Y coordinate?

a)

X coordinate

b)

Y coordinate

61.

Where is Point A on the coordinate plane?

a)

(7,4)

b)

(1,3)

c)

(9,3)

d)

(4,7)

62.

a)

A(4, 5); B(-5, 5)

b)

A(4, 5); B(5, 5)

c)

A(4, 5); B(5, -5)

d)

A(5, 24); B(5, -5)

63.

a)

G(-6, 28); H(-2, -7)

b)

G(6, -6); H(-2, -7)

c)

G(6, -2); H(-6, -2)

d)

G(6, -6); H(-7, -2)

64.

a)

A(-4, 0); B(-2, -6)

b)

A(-4, 4); B(2, -6)

c)

A(4, 0); B(2, -6)

d)

A(-4, 0); B(2, -6)

65.

(7, 7)

a)

II

b)

I

c)

III

d)

IV

66.

What is the intersection of the x-axis and y-axis on the Cartesian Coordinate Plane?

a)

Abscissa

b)

Origin

c)

Ordinate

d)

Ordered Pair

67.

Graph the point (1,7) on the coordinate plane

a)

b)

68.

Graph the point (6,2) on the coordinate plane.

a)

b)

69.

Graph the point (6,10) on the coordinate plane.

a)

b)

70.

Graph the point (8,7) on the coordinate plane.

a)

b)

71.

Graph the point (7, 8) on the coordinate plane.

a)

b)

72.

On a coordinate plane, __________ describes the location of a point

a)

x-axis

b)

y-axis

c)

ordered pair

d)

origin

73.

On a coordinate plane, the vertical number line is the __________________.

a)

x-axis

b)

x-coordinate

c)

y- axis

d)

y-coordinate

74.

In an ordered pair, the _________ number is called the y-coordinate.

a)

first

b)

second

c)

both

d)

neither

75.

Which letter matches the coordinate (4, -6)?

a)

G

b)

Z

c)

K

d)

None of the above

76.

Where is point E located?

a)

( 2, 0 )

b)

( 2 , 2 )

c)

( 0 , 2 )

d)

( 0 , 0 )

77.

a)

I

b)

IV

c)

III

d)

II

78.

Name the quadrant where POINT C is located.

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

No Quadrant

79.

Name the quadrant where POINT B is located.

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

80.

Give the coordinates for POINT H.

a)

(-1, 2)

b)

(1, -2)

c)

(-1, -2)

d)

(1 , 2)

81.

Give the coordinates for POINT I.

a)

(-2, 5)

b)

(-2, -5)

c)

(2, 5)

d)

(2, -5)

82.

Which letter matches the coordinate (4, -6)?

a)

G

b)

Z

c)

K

d)

None of the above

83.

Which letter matches the coordinate (4, -6)?

a)

G

b)

Z

c)

K

d)

None of the above

84.

Which letter matches the coordinate (0, -6)?

a)

O

b)

L

c)

i

d)

Z

85.

The coordinates for the origin in the coordinate plane are________?

a)

(1,1)

b)

(0,0)

c)

(0,1)

d)

(1,0)

86.

Find the area of the quadrilateral on the coordinate plane

a)

10 sq. units

b)

6 sq. units

c)

8 sq. units

d)

12 sq. units

87.

Reflections over the x-axis change the ____-__________.

a)

y-coordinate

b)

x-coordinate

c)

y-axis

d)

x-axis

88.

Reflecting over the y-axis changes the ____-_____________.

a)

x-axis

b)

x-coordinate

c)

y-coordinate

d)

none of the above

89.

After a reflection over the x-axis, (5,10) is the image of point N. What is the original location of point N?

a)

(-5, 10)

b)

(10,5)

c)

(5, -10)

d)

(-5, -10)

90.

Name the quadrant where POINT C is located.

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

No Quadrant

91.

This pictures shows what?

a)

reflection over the x-axis

b)

reflection over the x-coordinate

c)

reflection over the y-coordinate

d)

reflection over the y-axis

92.

Find the distance between the two ordered pairs.

a)

5

b)

6

c)

7

d)

10

93.

Find the distance between the two ordered pairs.

a)

12

b)

-8

c)

8

d)

10

94.

What is the reflection of F (3, 4) over the x-axis?

a)

F (-3, -4)

b)

D' (3, -4)

c)

D (-3, 4)

d)

D (4, 3)

95.

What is the reflection of D (4, 3) over the y-axis?

a)

D' (3, 4)

b)

D' (-3, -4)

c)

D (-4, 3)

d)

D (-4, -3)

96.

Reflect Point C over the y-axis:

a)

(-3, 2)

b)

(3,2)

c)

(-2,3)

d)

(3,0)

97.

Which answer shows a reflection across the x-axis?

a)

d

b)

c

c)

b

d)

a

98.

Which letter represents the first number in an ordered pair?

a)

X

b)

Y

c)

T

d)

G

99.

In the ordered pair, (7, -7), first I would move to the ____ 7 spaces, and then ____ 7 spaces.

a)

Left, Down

b)

Left, Up

c)

Right , Up

d)

Right , Down

100.

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

101.

What is the distance between points (3, -5) and (3, -8)?

a)

1 unit

b)

2 units

c)

3 units

d)

4 units

102.

When we are trying to find the distance between two points in the SAME quadrant, we ___________ the absolute values.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

103.

When we are trying to find the distance between two points in DIFFERENT quadrants, we ___________ the absolute values.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

104.

What are the coordinates of A' if point A is reflected across the y-axis?

a)

(3,-3)

b)

(0,3)

c)

(3,3)

d)

(-3,3)

105.

What are the coordinates of C' if point C is reflected across the x-axis?

a)

(2,2)

b)

(-2,2)

c)

(2,-2)

d)

(0,2)

106.

Which point is located at a distance of 5 horizontal units from Point E?

a)

Point A

b)

Point B

c)

Point C

d)

Point D

107.

What does this show?

a)

reflection over the y-axis

b)

reflection over the origin

c)

reflection over the x-axis

108.

This pictures shows what?

a)

reflection over the x-axis

b)

reflection over the origin

c)

reflection over the y-axis

109.

The rectangle shown has coordinates (3, 2), (-2, 2), (-2, -1), (3, -1)

What is the perimeter (distance around) of the rectangle?

a)

9 units

b)

12 units

c)

16 units

d)

20 units

110.

What is the distance between points (-7, 8) and (2, 8)?

a)

4 units

b)

5 units

c)

3 units

d)

9 units

111.

Reflections over the x-axis change the ____-__________.

a)

y-coordinate

b)

x-coordinate

c)

y-axis

d)

x-axis

112.

What is the reflection of F (3, 4) over the x-axis?

a)

F (-3, -4)

b)

D' (3, -4)

c)

D (-3, 4)

d)

D (4, 3)

113.

What is the reflection of R (-1, 6) over the y-axis?

a)

R'(1, 6)

b)

R'(6, 1)

c)

R' (-1, 6)

d)

R' (-6, 1)

114.

What is the reflection of C (0,-4) over the x-axis?

a)

C' (-0, 4)

b)

C' (4, 0)

c)

C' (0, 4)

d)

C' (-4, 0)

115.

Point C (-5, 4) is reflected over the x-axis. What are the coordinates of C'?

a)

(5, 4)

b)

(-5, -4)

c)

(5, -4)

d)

(-5, 4)

116.

Reflect N across the x-axis.

a)

b)

c)

d)

117.

Reflect N across the y-axis.

a)

b)

c)

d)

118.

What is the mean of this set of data?

2, 15, 7

a)

24

b)

3

c)

6

d)

8

119.

What is the range in gas mileage for cars?

a)

2

b)

3

c)

4

d)

6

120.

Find the median of these numbers:
2, 3, 4, 5, 5, 7

a)

4

b)

5

c)

4.5

d)

6

121.

If you score 76, 85, 97, and 83 on your math tests, what would your median score be?

a)

84

b)

90

c)

85

d)

88

122.

A data set can have more than one median?

a)

True

b)

False

123.

A data set can have more than one mode

a)

True

b)

False

124.

To find the average or mean of a set of numbers, add up all the items and divide by...

a)

2

b)

The minimum

c)

The maximum

d)

The number of items

125.

What is the range?

a)

average

b)

biggest-smallest

c)

the middle #

d)

# happening the most

126.

What is the mode?

a)

# happening the most

b)

the average

c)

biggest - smallest

d)

the middle #

127.

The number of pages that Carolyn wrote in her journal each day from Monday to Friday is shown below:
9, 8, 12, 6, 10
What is the mean number of pages she wrote per day?

a)

5

b)

6

c)

9

d)

11

128.

Find the range.
5, 15, 10, 20, 15, 10, 15

a)

5

b)

10

c)

15

d)

13

129.

The mode score on the 6th grade math test was 94! Which of these interpretations must be correct?

a)

94 was the highest score on the test.

b)

More students received a 94 than any other score

c)

No student scored below a 94

d)

A score of 91 was slightly below average.

130.

33, 25, 42, 25, 31, 37, 46, 29, 38
What is the third quartile of the data?

a)

37

b)

38

c)

40

d)

46

131.

33, 25, 42, 25, 31, 37, 46, 29, 38
What is the first quartile of the data?

a)

25

b)

27

c)

29

d)

33

132.

33, 25, 42, 25, 31, 37, 46, 29, 38
What is the interquartile range of the data?

a)

8

b)

9

c)

13

d)

21

133.

33, 25, 42, 25, 31, 37, 46, 29, 38
What is the interquartile range of the data?

a)

8

b)

9

c)

13

d)

21

134.

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

135.

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

136.

Find the median, mode and range:

3, 5, 7, 9, 11, 8, 3

a)

median:7 mode:9 range:8

b)

median:6 mode:3 range:7

c)

median:7 mode:3 range:8

137.

What is the mode?
500, 600, 700, 800, 500, 600

a)

500 and 600

b)

700

c)

800 and 700

d)

500

138.

Find the median of the data set
9, 8, 7, 11, 7, 16, 3

a)

8

b)

7

c)

3

d)

2

139.

What is the mode?
3, 12, 12, 14, 15, 4, 12, 12, 16, 16

a)

12

b)

16

c)

4

140.

Ervin bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Ervin's scores?

a)

193

b)

127

c)

60

d)

66

141.

Find the median of these numbers:
4,2,7,4,3

a)

2

b)

5

c)

7

d)

4

142.

What was the day with the least amount of cars sold?

a)

Monday

b)

Tuesday

c)

Wednesday

d)

Thursday

143.

How many cars were sold on Monday and Tuesday?

a)

13

b)

5

c)

11

d)

2

144.

Find the median from the given set of data.
1, 2, 3, 4, 2, 3, 2, 3

a)

2.5

b)

4

c)

5

d)

1

145.

What is the difference between the highest score and the lowest score on the test?

a)

15

b)

100

c)

6

d)

10

146.

At Dominique's Donuts the number of donut holes in a bag can vary. Help Dominique find the mode.
12,10,10,10,13,12,11,13,10

a)

13

b)

12

c)

11

d)

10

147.

How many people had 3 pets?

a)

5

b)

7

c)

4

d)

3

148.

The mode is the number ________________________.

a)

you see most

b)

you see least

c)

you don't see

d)

you see first

149.

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)

10

b)

12

c)

10 and 12

d)

No Mode

150.

Find the average of these numbers.

10, 3, 2, 5

a)

5

b)

4

c)

10

d)

3

151.

What is the RANGE of these numbers:

22, 20, 23, 21, 23, 25, 22, 29

a)

5

b)

9

c)

2

d)

6

152.

Find the median:
3, 5, 7, 4, 3, 1

a)

3 and 4

b)

There isn't one

c)

3.5

d)

3

153.

1. Find the average (mean) of these numbers.
10, 3, 2, 5

a)

5

b)

4

c)

10

d)

3

154.

What is the MEAN for this data?

a)

80

b)

1040

c)

13

d)

81

155.

Find the median

a)

3

b)

4

c)

5

d)

6

156.

How many cars were sold on Monday and Tuesday?

a)

13

b)

5

c)

11

d)

2

157.

How many people have two or less books in their desk?

a)

4

b)

5

c)

6

d)

7

158.

The graph below shows the number of sunny days and rainy days in a city during four months.

Based on the graph,how many more sunny days than rainy days did this city have during the months of April, May, and June?

a)

21

b)

56

c)

26

d)

20

159.

How many total people took the survey?

a)

50

b)

150

c)

100

d)

200

160.

What is the highest score in the class?

a)

88%

b)

100%

c)

13

d)

98%

161.

How many students scored 93% or less?

a)

6

b)

16

c)

14

d)

13

162.

How many total students are in the science class?

a)

13

b)

6

c)

27

d)

25

163.

Which interval has 400 employees?

a)

33-43

b)

0-10

c)

77-87

d)

66-76

164.

How many students are between 60 and 63 inches tall?

a)

3

b)

0

c)

12

d)

7

165.

How many students have more than 1,000 songs on their MP3 player?

a)

5

b)

16

c)

10

d)

4

166.

What is an interval?

a)

A single number

b)

A range of numbers

c)

A percentage

d)

A total amount

167.

How do you find the median of a data set that has two middle numbers?

a)

You pick the higher middle number

b)

You pick the lower middle number

c)

Add the two middle numbers and divide it by 2

d)

Subtract the two middle numbers and divide by 2

168.

Which measure of central tendency would best represent this data?

a)

Mean

b)

Median

c)

Mode

d)

Range

169.

Which class has the higher median?

a)

1st period

b)

2nd period

c)

They have the same median

170.

Which class did better on the test?

a)

1st period

b)

2nd period

c)

They both performed the same

Math Benchmark 3

Total questions: 170

Worksheet time: 5hrs 28mins

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