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Grade 7 FAST MATH Review Final

Total questions: 40

Worksheet time: 3600secs

Name
Class
Date
1.

What is the product of (-3/4) and (3/4)?

a)

-1

b)

9/16

c)

-9/16

d)

-1

2.

Krypton is a chemical substance. Krypton has a constant of proportionality between its mass and volume. The constant of proportionality is 3.75 grams/liter.

What is the mass of Krypton that takes up 4 liters.

a)

1.06 grams

b)

12 grams

c)

15 grams

d)

0.9375 grams

3.

The probability of spinning an even number on a spinner is 2/5.

The probability of pulling an even number from a deck of cards is 5/13.

Which is more likely?

a)

Even number on a spinner because 2/5 > 5/13

b)

Even number from a deck of cards because 5/13 > 2/5

c)

They are equally likely because 2/5 = 5/13

d)

Even number on a spinner because 2/5 < 5/13

4.

What percentage of the votes did Taylor receive?

a)

48%

b)

52%

c)

71%

d)

81%

5.

Select all that are equivalent to 3m + 4

a)

3(m+4)

b)

2(m+3) + m -2

c)

7m

d)

5(m+1)-1

e)

m+m+m+1+3

6.

Solve the inequality.

-4p > -60

a)

p > 15

b)

p < 15

c)

p > -15

d)

p < -15

7.

Select all the representations that show a proportional relationship between x and y.

a)

A

b)

B

c)

C

d)

D

e)

E

8.

A spinner is divided into 4 equally sized sections. The sections are blue, green, red, and yellow. The results of 1000 spins are shown in the table. Results Color Frequency Blue 470 Green 254 Red 144 Yellow 132 The theoretical probability of spinning green is _____.

a)

1/4

b)

254/1000

c)

746/1000

d)

3/4

9.

A spinner is divided into 4 equally sized sections. The sections are blue, green, red, and yellow. The results of 1000 spins are shown in the table. Results Color Frequency Blue 470 Green 254 Red 144 Yellow 132 The experimental probability of spinning green is _____.

a)

1/4

b)

254/1000

c)

746/1000

d)

3/4

10.

Omar uses a laser printer that prints 30 pages per minute. On Monday, he prints 8 pages. On Tuesday, he prints more pages. Omar prints a total of 143 pages on Monday and Tuesday. Let m be the amount of time, in minutes, he spends printing on Tuesday. Part A Create an equation using m to model the amount of time Omar spends printing on Tuesday.

a)

30m + 8 = 143

b)

30m = 143 + 8

c)

30m - 8 = 143

d)

8m + 30 = 143

11.

Omar uses a laser printer that prints 30 pages per minute. On Monday, he prints 8 pages. On Tuesday, he prints more pages. Omar prints a total of 143 pages on Monday and Tuesday. Let m be the amount of time, in minutes, he spends printing on Tuesday. How many minutes does it take Omar to print the pages on Tuesday?

30m + 8 =143

a)

4.5

b)

3.5

c)

6

d)

2

12.

Simplify the expression.

(232524)3\left(\frac{2^3\cdot2^5}{2^4}\right)^3

a)

2^14

b)

2^12

c)

2^7

d)

2^4

13.

Simplify (7x4)(212x)\left(7x-4\right)-\left(2-\frac{1}{2}x\right)

a)

132x2\frac{13}{2}x-2

b)

152x6\frac{15}{2}x-6

c)

132x6\frac{13}{2}x-6

d)

152x2\frac{15}{2}x-2

14.

The ratio of boys to girls in a class is 3:2. What percentage of the students are boys in the class?

a)

20%

b)

30%

c)

60%

d)

150%

15.

Scott is mowing lawns to earn money to buy a new gaming system and knows he needs to mow 35 lawns to earn enough money. If he can mow 4 lawns in 3 hours and 45 minutes, how long with it take him to mow 35 lawns? Round to the nearest 15 minutes.

a)

35 hours and 15 minutes

b)

166 hours and 15 minutes

c)

32 hours and 45 minutes.

d)

33 hours and 30 minutes

16.

Gina works 6 hours this week and earns $54. after working 3 hours last week and earning $27. What is the constant of proportionality?

a)

7

b)

48

c)

9

d)

24

17.

5 apples costs $30. Which equation represent this proportional relationship? Where a is applies and m is money.

a)

a = 30m

b)

a = 5m

c)

m = 5a

d)

m = 6a

18.

Gordy is taking a trip from Tallahassee, Fl to Portland, Maine which is about 1,409.1 miles. On average his SUV gets 23.1 miles per gallon on the highway and his gas tank holds 15.25 gallons. If Gordy starts with a full gas tank, how many times will he be required to fill the gas tank on his trip?

a)

3

b)

4

c)

3.5

d)

5

19.

A school district polled 400 people to determine if it was a good idea to not have school on Friday. 120 responded that it was not a good idea to have school on Friday. Predict how many people in the district who think it would not be good from a district of 6,228 people. Round to the nearest whole person.

a)

1,887

b)

1,868

c)

1,869

d)

1,886

20.

If a 12-inch pizza is cut into 6 equal slices, and Mike ate 2 slices, how many square inches of pizza did he eat?

a)

75.36

b)

150.72

c)

18.84

d)

37.68

21.
Convert 17  inches to centimeters.  (1 in = 2.54 cm)
a)
43.15 cm
b)
204 cm
c)
6.72 cm
d)
1.42 cm
22.
Which graph is non-proportional?
a)
A
b)
B
c)
C
d)
D
23.

At Donald's Donuts the number of donut holes in a bag can vary. Which measure of center should Donald use for this data?

12,10,10,13,12,11,13,10, 11, 32

a)

mean

b)

median

c)

mode

d)

outlier

24.

Answer the question pictured.

a)

1

b)

2

c)

3

d)

4

25.

Carly wants to know what languages everyone in class speaks.

What type of graphical display should she create?

a)

Histogram

b)

Circle graph

c)

Bar graph

d)

line plot

26.

What is the sample space for this spinner?

a)

1, 1, 1, 1, 2, 3, 4, 4

b)

1, 2, 3, 4, 5, 6, 7, 8

c)

1, 2, 3, 4

d)

8

27.
Find the area of the figure
a)
30 cm2
b)
44 cm2
c)
88 cm2
d)
22 cm2
28.
Find the area of the shaded region: 
a)
350 cm2
b)
137.5 cm2
c)
212.5 cm2
d)
484.2 cm2
29.

Find the circumference of the circle.

a)

38.47 cm

b)

10.99 cm

c)

43.96 cm

d)

21.98 cm

30.
From Denver to Chicago = 3 inches. If the scale is 1 inch = 300 miles, find the actual distance.
a)
300 miles
b)
1000 miles
c)
900 miles
d)
600 miles
31.
Find the lateral surface area of the cylinder.
a)
192π
b)
128π
c)
96π
d)
402π
32.
Find the surface area
a)
60.4 m2
b)
188.4 m2
c)
94.2 m2
d)
881.9 m2
33.

Find the volume of the prism. Round to the nearest tenth if necessary.

a)

94.2 in3

b)

282.6 in3

c)

188.4 in3

d)

1130.4 in3

34.

Select all equivalent to 10/200

a)

1/20

b)

0.5

c)

0.05

d)

50%

e)

5%

35.
a)

12.4285

b)

15

c)

17

d)

11

36.
What is the median of:
6, 12, 16, 11, 8, 4, 1, 11, 4
a)
11
b)
6
c)
8
d)
7
37.
solve
a)
1  1/2
b)
- 1 5/9
c)
1  5/9
d)
not here
38.
270
a)
1
b)
0
c)
27
39.
Which graph matches the inequality
k < 3?
a)
A
b)
B
c)
C
d)
D
40.

Is the price of the chicken proportional to the number of pieces?

a)

Yes. It is always $2 for each piece of chicken.

b)

Yes. It is always $0.50 for a piece of chicken.

c)

No. The pieces of chicken go up and then down.

d)

No. The price goes up by 2 and the chicken goes up by 1.