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Benchmark Review

Total questions: 90

Worksheet time: 2hrs 21mins

Name
Class
Date
1.
Nathan and Ethan run a half marathon that is 26.1 miles long in 6 hours. What is the average number of miles they will run each hour?
a)
4.35 mph
b)
43.5 mph
c)
0.435 mph
d)
43 mph
2.
Jacob and his buddies paid $35.01 at a football game to buy 9 cheeseburger meals.  how much did each cheeseburger meal cost?
a)
$2.85
b)
$2.89
c)
$3.84
d)
$3.89
3.
Mary needs 20 small pieces of string that are the same length for a project.  Her original piece of string was 15.6 inches long.  How long will each piece be?
a)
12.8 inches 
b)
1.28 inches
c)
0.78 inches
d)
7.8 inches
4.

Do you need to move the decimal/ re-write the problem before dividing?

a)

Yes

b)

No

5.

Solve 8a + (a - b) when a = 7 and b = 4

a)

29

b)

85

c)

58

d)

59

6.

This expression is used to find the total cost to order x number of tickets to a play.


10x + 3


What is the total cost of ordering 4 tickets?

a)

$40

b)

$42

c)

$43

d)

$52

7.
Shawn ran 7 miles less than Christina last week.  Shawn ran 18 miles.  How many miles did Christina run?
a)
11
b)
32
c)
25
d)
23
8.
Maria has 25 dollars.  She has to buy a gallon of milk which costs $3.50.  She wants to spend the rest of her money on cereal.  If each box of cereal costs $4.50, how many can she purchase?
a)
4 boxes
b)
5 boxes
c)
6 boxes
d)
7 boxes
9.
Use the distributive property to find an equivalent expression: 5(2f + 4)
a)
10f + 4
b)
10f + 9
c)
10f + 20
d)
30f
10.
Which expression is equivalent to:
d + d + d + 3 + 2
a)
3d + 5
b)
d + 5
c)
2d + 7
d)
3d + 4
11.

25 is the same as 2 x 5.

a)

True

b)

False

12.
Is x = 20 a solution to the inequality 3x - 5 > 60 
a)
yes
b)
no
13.
a)
x is less than or equal to -2
b)
x < -2
c)
-2 < x
d)
x is greater than -2
14.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
15.

There are 4 birds and 6 snakes. What is the ratio of birds to snakes?

a)

6/4

b)

4/6

c)

1/3

d)

10/16

16.
Ella has 5 balloons. Taylor has 7 balloons. Write the ratio of Ella's balloons to Taylor's balloons.
a)
7:5
b)
5:7
c)
3:5
d)
5:3
17.
A class has 15 boys and 20 girls. What is the boy:girl ratio in simplest form?
a)
4 to 5
b)
10 to 13
c)
3:4
d)
3:5
18.
88 students for 4 classes
How many students per class?
a)
22 students per class
b)
22 classes per student
c)
25 students per class
d)
25 classes per student
19.
The car travels 440 miles in 8 hours. What is the unit rate?
a)
12 miles in 1 hour
b)
55 miles in 1 hour
c)
110 miles in 1 hour
d)
44 miles in 1 hour
20.
A store sees 120 customers in 8 hours. What is the unit rate (in customers per hour)?
a)
16 customers per hour
b)
15 customers per hour
c)
12 customers per hour
d)
20 customers per hour
21.

In a class of 50 students, 40 % are girls. Find the number of girls in the class?

a)

22 girls

b)

20 girls

c)

19 girls

d)

12 girls

22.

At a birthday party 40% of the children had an ice-cream. 150 children attended the party. How many had an ice-cream?

a)

60

b)

70

c)

80

d)

90

23.
What is the constant of proportionality (in miles per hour) based on the table?
a)
45
b)
90
c)
135
d)
2
24.
Does the table show a proportional relationship?
a)
Yes
b)
No
25.
What is the equation y=kx for the table?
a)
y=1/3x
b)
y=3x
c)
y=5x
d)
y=1/5x
26.
18,000 g ____ 10 kg
(1 kg is 1000 g)
a)
<
b)
=
c)
>
27.
How tall am I in meters if I am 5'4" tall? (1 in = 0.025 m)
a)
1.3
b)
1.4
c)
1.5
d)
1.6
28.
The area of a rectangle is 36 square meters.  If the length of the rectangle is 3, what is the width?
a)
108
b)
12
c)
9
d)
15
29.
Find the area?
a)
15 in²
b)
30 in²
c)
15 in
d)
 30 in
30.

Find the area

a)

150m2

b)

120m2

c)

126m2

d)

200m2

31.
Find the area of the parallelogram.
a)
12 units2
b)
10 units2
c)
13 units2
d)
6 units
32.
Find the area of the figure.
a)
10 cm2
b)
24 cm2
c)
12 cm2
d)
20 cm2
33.
Find the area of the figure
a)
26 ft2
b)
20 ft2
c)
52 ft2
d)
40 ft2
34.
FInd the Surface area of the shape below?
a)
258 m2
b)
268 m2
c)
248 m2
d)
278 m2
35.
a)
3.75 cm2
b)
37.5 cm2
c)
73.5 cm2
d)
2.5 cm2
36.
How many square inches of cardboard make up this pyramid?
a)
24 in2
b)
40 in2
c)
44 in2
37.
a)

a

b)

b

c)

c

38.
a)

a

b)

b

c)

c

39.
a)

a

b)

b

c)

c

40.
What is the volume of this prism?
a)
16 cubic cm
b)
36 cubic cm
c)
144 cubic cm
41.
Find the volume of the prism.
a)
1000 square units
b)
1000 cubic units
c)
100 cubic units
d)
100 square units
42.
The number of miles that Jenna cycled each week for a 7-week period is shown: 
36, 42, 28, 52, 48, 36, 31 
What is the median number of miles Jenna cycled?
a)
24
b)
36
c)
39
d)
52
43.

Dr. Dre is a dentist. He needs to report on the average (Mean) number of cavities that his patients have.

1, 0, 1, 5, 0, 3, 4. What is the average number of cavities?

a)

14

b)

2

c)

7

d)

1

44.
Find the range of these numbers:
15,2,3,7,8,4,3,2,16,2,4
a)
2
b)
13
c)
14
d)
7
45.

Is this a statistical question: How many players are on the Springfield football team?

a)

Yes

b)

No

46.

Is this a statistical question: How many people in Coach Knight's classes are in the band?

a)

Yes

b)

No

47.
Mary read six books in January, four books in February, and eight books in March.What was the average number of books read each month? __________
a)
18
b)
6
c)
14
48.

What is the range of time spent on homework

a)

46 min.

b)

41 min.

c)

31 min

d)

77 min.

49.

What is the range of ticket sales for the week?

a)

300 tickets

b)

325 tickets

c)

275 tickets

d)

250 tickets

50.

Pete mows lawns for 15 dollars per hour (h). Write an equation that represents the relationship between hours mowed and total profit (p).

a)

15p = h

b)

ph = 15

c)

15h = p

d)

15 + h = p

51.

Which expression below is equivalent to: p + p + p + p

a)

5p

b)

3p

c)

4p

d)

p4

52.

The art teacher at my school is buying tubes of paint for an upcoming art project. At the store, she sees that they are on sale for $3.50 per paint tube. Write an equation to represent the relationship between number of paint tubes (p) and the total cost (c).

a)

p + c = 3.5

b)

6p = c

c)

pc = 3.5

d)

3.5p = c

53.
What is the distance between points (3, -5) and (3, -8)?
a)
1 unit
b)
2 units
c)
3 units
d)
4 units
54.
What is the area of the shape?
a)
35 units squared
b)
24 units squared
c)
not enough information
d)
22 units squared
55.
Your house is at the coordinate (5, 4) and the playground is at (-3, 4). If each number on the number line represents a block, how many blocks is it from your house to the playground?
a)
6 blocks
b)
5 blocks
c)
9 blocks
d)
8 blocks
56.
David builds a house in the city at (3,-5) and his sister builds one at (-6,-5). If each number represents miles, how man miles is David's house from his sister's house?
a)
3 Miles
b)
9 Miles
c)
6 Miles
d)
18 Miles
57.
The drawing shows points  A,B, and C. At what location would you add point D to create a square ?
a)
( 2,1 )
b)
(4,5)
c)
( 5, 4 )
d)
( 5, 10 )
58.
What is the area of the rectangle?
a)
28 units squared
b)
45 units squared
c)
33 units squared
d)
19 units squared
59.
What is the area of the shape?
a)
35 units squared
b)
24 units squared
c)
not enough information
d)
22 units squared
60.
Write an algebraic expression for:
 14 decreased by a number
a)
14+n
b)
14-n
c)
n-14
d)
14 decreased by a number
61.
Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.
a)
8 - 4m
b)
8m - 4
c)
8m + 4
d)
4m - 8
62.
Five times Mike's age, increased by nine
a)
5(x+9)
b)
9(5+x)
c)
9x+5
d)
5x+9
63.
The difference of 3 times a number and 7
a)
3 + 7n
b)
3n - 7
c)
3n + 7 
d)
3 / 7n
64.

Select all that satisfy the following inequality.

a)

4/7

b)

0.44

c)

7/20

d)

49%

e)

2.5%

65.
a)
A
b)
B
c)
C
d)
D
66.
Convert  0.75  to fraction form.
a)
3/6
b)
3/4
c)
2/6
d)
1/4
67.
Convert 2/5 from a fraction to a decimal.
a)
.02
b)
.04
c)
.2
d)
.4
68.

Which statement is TRUE?

a)
b)
c)
d)
69.

Select each answer that is equivalent to 2.4

a)
b)
c)
d)
70.
Lyrra had $120 in her account.  She spent $200.  By how much was her account overdrawn?
a)
$20
b)
$50
c)
$80
d)
$120
71.
If it is 8 degrees outside and the temperature drops by 9 degrees what is the new temperature?
a)
1 degree
b)
17 degrees
c)
-1 degree
d)
0 degrees
72.
A decrease of 5 inches.
a)
positive
b)
negative
73.
Seventy feet above sea level
a)
positive
b)
negative
74.
A pay cut of 120 dollars
a)
positive
b)
negative
75.
A bank withdraw of $25.00. 
a)
positive
b)
negative
76.
The temperature in Town A is -10 degrees Fahrenheit and temperature in Town B is -25 degrees Fahrenheit.  Is it colder in Town A or Town B ?
a)
Town A
b)
Town B
77.
12.58-7.29=
a)
5.29
b)
5.92
c)
5.39
d)
5.19
78.
Gina competed in a gymnastics competition.  Her total score for the balance beam and the vault was 16.75.  She scored 9.3 on the vault.  How much did she score for the balance beam?
a)
7.45
b)
7.54
c)
7.045
d)
7.054
79.
16.06 - 10.1
a)
4.96
b)
5.95
c)
5.96
d)
4.96
80.
Find the difference 9.28 - 0.54
a)
5.98
b)
8.34
c)
8.74
d)
9.34
81.
You have 2/3 of a pizza.  You divide the remaining pizza into 4 equal pieces.  What fraction of the pizza is each piece?
a)
6
b)
6/1
c)
1/6
d)
2  2/3
82.
Stewart bought 8 pounds of hamburger meat for a barbecue.  He split the meat into burgers that each weighed 2/3 pounds.  How many burgers was Stewart able to make?
a)
1/12
b)
8
c)
5 1/3
d)
12
83.
The hike to the campsite is 4 kilometers long.  If we each take turns carrying the tent for 4/5 of a kilometer, how many times will the tent change hands? 
a)
5
b)
4/9
c)
3
d)
2
84.
The clementine had 12 sections.  Noah ate 3/4 of them.  How many sections are left?
a)
9
b)
3
c)
2
d)
5
85.
GCF 15 and 33
a)
15
b)
3
c)
11
d)
5
86.
GCF of 12 and 28
a)
3
b)
6
c)
2
d)
4
87.
Sara had 16 red flowers and 24 yellow flowers.  She wants to make bouquets with the same number of each color flower in each bouquet.  What is the greatest number of bouquets that she can make?
a)
4
b)
2
c)
48
d)
8
88.
Two clocks are turned on at the same time. One clock chimes every 15 minutes. The other clock chimes every 25 minutes. In how many minutes will they chime together?
a)
55 minutes
b)
25 minutes
c)
60 minutes
d)
75 minutes
89.
Lisa is making activity baskets to donate to charity.  She has 12 coloring books and 36 crayons.  What is the greatest number of baskets she can make if each type of toy is equally distributed among the baskets?
a)
2
b)
12
c)
36
d)
6
90.
Henry and Margo both began traveling around a circular track. Henry is riding his bike, and Margo is walking. It takes Henry 7 minutes to make it all the way around, and Margo takes 12 minutes. How much time will pass until they meet at the starting line?
a)
84 minutes
b)
48 minutes
c)
854 minutes
d)
78 minutes