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Worksheets

Milestone Review 7th grade Math

Total questions: 52

Worksheet time: 26mins

Name
Class
Date
1.

A coat regularly sells for $59. It is on sale for 20% off. What is the sale price of the coat?

a)

$47.20

b)

$11.80

c)

$70.80

d)

$57.82

2.

Jonathan puts $400 in a bank account. Each year the account earns 6% simple interest. How much interest will be earned in 5 years?

a)

$12

b)

$12,000

c)

$120

d)

$1,200

3.

Mr. Parker wants to draw a floor plan for his office, which measures 15 feet wide by 17.5 feet long. He is using the scale 1/2 inch= 3 feet. What will be the width of his office on the floor plan?

a)

3in

b)

2.5 in

c)

3.5 in

d)

2 in

4.

The scale for a map says that 1cm is equal to 25 miles. Jennifer measures the distance between the two cities as 4.5 cm. How far apart are the cities?

a)

112.5 miles apart

b)

149 miles apart

c)

90 miles apart

d)

128.5 miles apart

5.

You can buy 56 diapers at Babies-R-Us for $28, and you can buy 112 diapers online for $52. Which is the better deal, and how much will you save per diaper?

a)

BabiesRUs by $0.15

b)

Online by $0.04

c)

BabiesRUs by $0.04

d)

Online by $0.15

6.

Target sells 24 bottles of water for $3, and 36 bottles of water for $4. Which is the better buy and by how much?

a)

36 bottles for $4 by 1.4 cents per bottle

b)

24 bottles for $3 by 1.5 cents per bottle

c)

24 bottles for $3 by 70 cents per bottle

d)

24 bottles for $3 by 75 cents per bottle

7.

If a dozen eggs cost $3.35, what is the unit cost?

a)

$1.23

b)

$0.28

c)

$4.29

d)

$0.13

8.

Marina can make 36 cupcakes in 45 minutes. How long will it take for her to make 108 cupcakes?

a)

2 hours 15 minutes

b)

1 hour 35 minutes

c)

1 hour 21 minutes

d)

1 hour 15 minutes

9.

For every 144 light bulbs produced, 6 are defective. Find the number of defective light bulbs that could be expected out of 720.

a)

35 bulbs

b)

40 bulbs

c)

50 bulbs

d)

30 bulbs

10.

A $40 skateboard is discounted by 30%. If sales tax is 5%, what is the amount of tax paid?

a)

$1.40

b)

$1.90

c)

$2.00

d)

$0.14

11.

Daniel purchases a new fishing rod for $49.95. The sales tax on his purchase is 8%. Including tax, what is the e cost of the fishing rod to the nearest dollar?

a)

%58

b)

$54

c)

$63

d)

$90

12.

If x equals the boxes of candy and y equals the pieces of candy in each box. Using the following coordinates, what would the constant of proportionality be in the form of y=kx?

(10,150), (9,135), (2,30), (6,90), (3,45)

a)

y=25x

b)

y=15x

c)

y=1/15x

d)

y=150x

13.

Susan has $800 in a savings account that earns 6% simple interest annually. How much interest will she earn in 5 years?

a)

$30.00

b)

$480.00

c)

$240.00

d)

$48.00

14.

Which linear equation represents a non-proportional relationship?

a)

y=4/5x

b)

y=1.5x

c)

y=x+3

d)

y=-3x

15.

Which linear equations represent a proportional relationship?

a)

y=-3x+4

b)

y=3x+0.2

c)

y=-0.3x

d)

y=x+2

16.

What two ratios form a proportion?

a)

2/1 and 14/21

b)

1/2 and 2/7

c)

1/2 and 7/14

d)

2/1 and 7/14

17.

Which two ratios form a proportion?

a)

3:1 and 3:9

b)

3:1 and 9:3

c)

1:3 and 6:3

d)

1:3 and 3:6

18.

Solve the following proportion:

8x =48\frac{8}{x\ }=\frac{4}{8}

a)

14

b)

16

c)

15

d)

12

19.

18 is increased to 45, what is the percent change?

a)

150%

b)

18%

c)

63%

d)

1.5%

20.

At an electronics store, Tim earns $15 per hour, plus a 6% commission on his sales. If he works 6 hours and sells $800 in merchandise, how much does he earn in total?

a)

$172

b)

$154

c)

$138

d)

$196

21.

The number of miles that Kiki cycled each week for a 7-week period is shown:

36, 42, 28, 52, 48, 36, 31.

What is the median number of miles Kiki cycled?

a)

52

b)

36

c)

24

d)

39

22.

The test scores for a class are down. What is the average test score?

79, 80, 92, 81, 100, 88, 98, 71, 91, 90

a)

83

b)

87

c)

88.5

d)

90.5

23.

Randy is starting a beehive so that he can have fresh honey. He decides to check the current population of bees in the hive by marking 160 bees. Later, Randy collects 240 bees and observes that 30 of them are marked. What is the BEST estimate for the bee population?

a)

1200

b)

1300

c)

1280

d)

1240

24.

Solve for z.

5z - 8 = 32

a)

z=6

b)

z=4.8

c)

z=4

d)

z=8

25.

Solve for x:

5x - 5 = 50

a)

x=8

b)

x=9

c)

x=10

d)

x=11

26.

Solve for x:

x  6 8x\ -\ 6\ \ge-8

a)

x2x\ge-2

b)

x2x\ge2

c)

x2x\le-2

d)

x2x\le2

27.

Solve for x:

-2x < -4

a)

x>-2

b)

X<-2

c)

x>2

d)

x<2

28.

Which problem can be solved using this inequality?

3x7203x-7\ge20

a)

Three times a number x less seven is less than 20. Solve for x

b)

Three times the difference of a number x and seven is greater than or equal to twenty. Solve for x.

c)

Three times a number x less seven is greater than or equal to twenty. Solve for x.

d)

Three times a number x less seven is less than or equal to twenty, solve for x.

29.

Solve the equation:

8(2x - 6) = 96

a)

9

b)

12

c)

6

d)

3

30.

Simplify 410215\frac{4}{10}-\frac{2}{15}

a)

815\frac{8}{15}

b)

23\frac{2}{3}

c)

25\frac{2}{5}

d)

415\frac{4}{15}

31.

Simplify:

3539\frac{3}{5}\cdot\frac{3}{9}

a)

5/1

b)

5

c)

1/5

d)

1/3

32.

The integer -10 would BEST represent which of the following? (Select all that apply)

a)

You remove 10lbs of apples from a piles

b)

You fill a tub with 10 gallons of water

c)

You withdraw $10 from a bank account

d)

None of these represent -10.

33.

Simplify:

6.25-8

a)

1.75

b)

2.25

c)

-2.25

d)

-1.75

34.

A football player caught the ball and made a gain of 8 yards on the first play. On the next play, the team lost 12 yards. How many yards do they need to gain on the next play to get back to their starting position?

a)

4

b)

12

c)

6

d)

8

35.

What is the quotient of 13÷(13)\frac{1}{3}\div\left(-\frac{1}{3}\right) ?

a)

-1

b)

-1/9

c)

1

d)

1/9

36.

Jerry had $1,018.00 in savings. Last week he spent $84 on a desk and $327 on a computer from his savings. This week at a part-time job sacking groceries Jerry earned $88 and put $44 of it back in savings. How much more money does Jerry need to put back into savings to be back to the original balance of $1,018?

a)

$412

b)

$456

c)

$367

d)

$324

37.

Anna is buying supplies to mail a gift to a friend who lives in California. First, she buys a shipping box for $4.95 and bubble wrap for $2.85. Then, she decides that she needs some shipping tape for $2.25 and a mailing label for $1.00. The postage to mail the gift is $8.32. In all, how much does it cost Anna for supplies and postage?

a)

$20.37

b)

$11.37

c)

$19.37

d)

$18.37

38.

Joe is trying to find out how many cubic centimeters of sand he can fit in a hole he dug in his backyard. The size of the hole is shown in the diagram. Which of the equations will yield the correct answer?

a)

V=1/2(9.1)(2.2)(3.8)

b)

V=9.1(2.2)(3.8)

c)

V=9.1 + 2.2+3.8

d)

V=9.1(2.2+3.8)

39.

Find the surface area of the rectangular prism.

a)

14.3 sq cm

b)

76.076 sq cm

c)

73.48 sq cm

d)

125.92 sq cm

40.

A plane slices horizontally through a cone as shown, which term best describes the cross-section?

a)

rectangle

b)

circle

c)

triangle

d)

rhombus

41.

Find the surface area of a rectangular prism with a height of 6 inches, a width of 7 inches, and a length of 13 inches.

a)

1364 sq in

b)

422 sq inches

c)

338 sq in

d)

520 sq in

42.

The cylinder is cut by the plane shown. The plane is perpendicular to the base of the cylinder. What is the shape of the cross-section?

a)

rectangle

b)

circle

c)

ellipse

d)

square

43.

Find the area of the irregular figure. (Assume that all angles are right angles)

a)

13 sq inches

b)

15 square inches

c)

10 square inches

d)

11 square inches

44.

Jane draws a circle on her paper with a 2.5-inch radius. What is the area of the circle?

a)

61.6225 sq in

b)

15.7 sq in

c)

19.625 sq in

d)

24.649 sq in

45.

What is the measurement of N?

a)

54

b)

21

c)

26

d)

45

46.

A circular rug has a diameter of 6 feet. What is the circumference of the rug? Use 3.14 for π\pi .

a)

9.42 ft

b)

18.84 ft

c)

28.26 ft

d)

37.68 ft

47.

Find the circumference of the rug

a)

37.68

b)

113.04

c)

75.36

d)

18.84

48.

Carla must ice a German chocolate cake. The diameter of the cake is 6cm. Use A=3.14 x r2r^2 to find the area of the cake.

a)

20.56

b)

19.63

c)

7.07

d)

28.26

49.

Which angles are vertical angles?

a)

3 and 6

b)

2 and 4

c)

3 and 5

d)

1 and 4

e)

1 and 7

50.

What is the volume of the triangular prism?

a)

1440 cubic cm

b)

180 cubic cm

c)

720 cubic cm

d)

360 cubic cm

51.

Find the volume of the triangular prism.

a)

231 cubic meters

b)

115.5 cubic meters

c)

462.0 cubic meters

d)

57.75 cubic meters

52.

Find the area of the circle.

a)

56.5 sq cm

b)

28.3 sq cm

c)

254.3 sq cm

d)

88.7 sq cm