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Grade 7 Math FAST Review A

Total questions: 56

Worksheet time: 28mins

Name
Class
Date
1.

The gas tank in Orlando’s car holds 16 gallons. What is the capacity of the gas tank in liters? Round to the nearest tenth.

a)

60.6 liters

b)

45.4 liters

c)

50.2 liters

d)

40.8 liters

2.

A scaled drawing of Anna’s room is a square with an area of 9 sq. in. If her actual bedroom has a side length of 12 ft, what is the scale of the drawing?

a)

1 ft = 3 in.

b)

1 in. = 3 ft

c)

1 ft = 4 in.

d)

1 in. = 4 ft

3.

If you plot the points (0, 0), (1, 1/3) and (4, 1 1/3) on a coordinate grid and connect them with a line, does the line represent a proportional relationship?

a)

The points form a straight line that passes through the origin, so the relationship is proportional.

b)

The points do not form a straight line that passes through the origin, so the relationship is not proportional.

c)

The points form a straight line that does not pass through the origin, so the relationship is proportional.

d)

The points do not form a straight line, so the relationship is proportional.

4.

Ethan rolls a number cube with sides numbered 1 through 6. If he rolls the number cube 150 times, how many times would he expect to roll a 5 or a 6?

a)

25 times

b)

50 times

c)

75 times

d)

100 times

5.

Amber and Jessica go out for lunch. Amber’s lunch costs $11.70, and she tips 18%. Jessica’s lunch costs $12.30, and she tips 15%. Complete a true statement. Jessica paid ______ than Amber.

a)

$0.29 more

b)

$0.34 more

c)

$0.55 more

d)

$0.29 less

6.

What is the difference between the area of the larger circle and the area of the smaller circle? Leave your answer in terms of π.

a)

26π m²

b)

105π m²

c)

87π m²

d)

13π m²

7.

Solve −237x>−223-2 \frac{3}{7} x > -2 \frac{2}{3} . Graph the solution on the number line.

a)

x<149x < \frac{14}{9}

b)

x>149x > \frac{14}{9}

c)

x<−149x < -\frac{14}{9}

d)

x>−149x > -\frac{14}{9}

8.

A deck of name cards contains 8 James, 5 Kayla, 7 Marcos, and 10 Gayle. If a card is selected at random from the deck, find the probability that it is a Gayle card. Express your answer as a fraction in simplest form.

a)

13\frac{1}{3}

b)

23\frac{2}{3}

c)

25\frac{2}{5}

d)

14\frac{1}{4}

9.

A can of soup has the dimensions shown. How much metal is needed to make the can? Round your answer to the nearest tenth. Use 3.14 for π and the formula for the surface area of a cylinder SA = 2B + Ph.

a)

19.6 in. 2^2

b)

41.2 in. 2^2

c)

56.5 in. 2^2

d)

70.7 in. 2^2

10.

What is the value of the expression −2+(−8.5)−(−914)-2 + (-8.5) - \left(-9 \frac{1}{4}\right) ? Express your answer as a decimal.

a)

-1.25

b)

-0.75

c)

-0.25

d)

0.75

11.

A hose fills a 3 gallon bucket in 9 seconds. At this rate, how long will it take to fill a bucket that is 67% larger than the 3 gallon bucket? Round to the nearest second.

a)

12 seconds

b)

15 seconds

c)

18 seconds

d)

20 seconds

12.

Find the area, in square centimeters, of the composite figure by decomposing it into smaller shapes. Express your answer as a decimal to nearest tenth.

a)

231.2 cm2

b)

160.5 cm2

c)

170.5 cm2

d)

180.5 cm2

13.

Erica bought a road bike using the store’s payment plan. She made a $320 down payment and makes monthly payments of $91. If the total cost is $1,867, how many months will Erica be paying for the bike?

a)

15 months

b)

17 months

c)

18 months

d)

20 months

14.

A bag holds 7 red marbles, 3 green marbles, and 6 blue marbles. A marble is drawn at random. What is the probability that it is NOT red?

a)

169\frac{16}{9}

b)

616\frac{6}{16}

c)

916\frac{9}{16}

d)

716\frac{7}{16}

15.

Jenny is making broccoli cheddar soup and her recipe calls for 2 1/4 cups of broccoli and 3/4 cup of cheddar. Select the equation that represents the amount of cheddar, c, needed per cup of broccoli, b. Assume the situation is proportional.

a)

c = 1/2b

b)

b = 1/3c

c)

b = 1/2c

d)

c = 1/3b

16.

A store increases profits by marking up the price of a chocolate bar by 20%. What will the markup price be if the chocolate bar costs the store $1.20 to buy?

a)

$0.24

b)

$0.96

c)

$1.44

d)

$2.16

17.

Use the order of operations to evaluate the expression. Express your answer as a decimal. −2(3.5−∣−7+14∣)+(−2)3-2 (3.5 - |-7 + \frac{1}{4}|) + (-2)^3

a)

-10.5

b)

-1.5

c)

-4.5

d)

-6.5

18.

What is the value of the expression -2/3 × -1/5?

a)

2/15

b)

-2/15

c)

1/15

d)

-1/15

19.

Daniel randomly surveyed 120 students at his school and found that 96 of them have at least one sibling. Based on these data, how many of the 425 students at his school would be expected to have at least one sibling?

a)

340

b)

360

c)

380

d)

400

20.

Rebecca has $128 remaining on a gift card to spend. She spends $78 on running shoes. Tank tops cost $12.50 each. How many tank tops can she buy?

a)

3

b)

4

c)

5

d)

6

21.

Jessica pours herself a cup of boiling water, at 100°C, to make tea. After 3 1/2 minutes, the temperature of her tea has decreased to 58°C. What was the average change in temperature each minute? Express your answer in degrees Celsius.

a)

10°C

b)

12°C

c)

14°C

d)

16°C

22.

The wheel on a car completes 22 revolutions and travels 29.7 meters. What is the diameter of the wheel, in cm? Use 3.14 for π and round to the nearest whole centimeter. (Note: 1 meter = 100 centimeters.)

a)

42 cm

b)

43 cm

c)

44 cm

d)

45 cm

23.

Select all the expressions that are equivalent to 24a - 6.

a)

12(48a−12)\frac{1}{2}(48a - 12)

b)

-3(-2a + 2) + 18a

c)

3(2 - 8a)

d)

-6(2 - a) + 18a + 6

e)

2(10a - 3) + 0.25(8a)

24.

The ratio of apples to pears at a farmer’s stand is 5:3. What percentage of the fruit items at the stand are apples?

a)

40%

b)

50%

c)

62.5%

d)

75%

25.

On Saturday, the temperature was 75.5°F. The temperature rose by 6°F on Sunday, then dropped by 3.5°F on Monday. What was the temperature, in degrees Fahrenheit, on Monday?

a)

78°F

b)

79.5°F

c)

81°F

d)

82.5°F

26.

The box plots show the prices of tablets at two electronics stores. Which store has greater variability in the prices? Select the correct answer and explanation.

a)

Store B has greater variability because the IQR is less than Store A.

b)

Store A has greater variability because the IQR is less than Store B.

c)

Store B has greater variability because the IQR is greater than Store A.

d)

The stores have the same variability because the ranges are the same.

27.

Lisa makes $30 for 4 hours of babysitting. Write an equation to represent her earnings, e, relative to the number of hours, h, that she works. Assume the relationship is proportional.

a)

e = 7.5h

b)

e = 30h

c)

e = 4h

d)

e = 120h

28.

In a random sample of 120 students at Caleb’s school, it was found that 72 ride the bus to school. If there are 525 students in the school, how many can you estimate ride the bus?

a)

315

b)

252

c)

420

d)

525

29.

The volume of the cylinder shown is 486π cubic feet. If the radius is 6 feet, what is the height of the cylinder, in feet? Use V = πr²h.

a)

4.5 feet

b)

9 feet

c)

13.5 feet

d)

27 feet

30.

A car drives 10.5 miles in 1/6 hour. What is its average speed, in miles per hour?

a)

63 mph

b)

70 mph

c)

55 mph

d)

60 mph

31.

Marcos has an 87.5% chance of making a free throw based on his past performance. Which term best describes the likelihood of Marcos making a free throw?

a)

impossible

b)

unlikely

c)

likely

d)

certain

32.

A circular plate has a circumference of 34.54 in. What is its area? Use 3.14 for π and round to the nearest square inch.

a)

96 in²

b)

95 in²

c)

379 in²

d)

380 in²

33.

The cost of renting a car is $24.50 plus $11 per day. If a car was rented for a total cost of $57.50, for how many days was the car rented?

a)

3 days

b)

2 days

c)

4 days

d)

5 days

34.

Alex painted 178 ft² of his apartment’s walls with 1/3 gallon of paint. He has 2 gallons of paint in all. If he wants to cover 1,000 ft² of his apartment, does he have enough paint? Complete the true statement: At this rate of square feet per gallon, Alex's 2 gallons of paint will cover _______.

a)

968 ft², and Alex needs to cover 1,000 ft², so he will not have enough paint.

b)

996 ft², and Alex needs to cover 1,000 ft², so he will not have enough paint.

c)

1,068 ft², and Alex needs to cover 1,000 ft², so he will have enough paint.

d)

1,000 ft², and Alex needs to cover 1,000 ft², so he will have enough paint.

35.

Erica and Jonathan swim on different swim teams. They conducted random surveys of their teams to see how many hours per week their teammates spend training. The results are shown in the box plots. Which statements are accurate descriptions of the data sets? Select all that apply.

a)

Erica's team shows greater variability than Jonathan's team.

b)

Jonathan's team shows greater variability than Erica's team.

c)

Erica's team has the greater median.

d)

On average, Jonathan's team trains more.

e)

On average, Erica's team trains more.

36.

To win a trivia game, Robert must score at least 25 points. Each correct answer is worth 1.5 points and each incorrect answer is worth -0.25 point. If he gets 19 answers correct and 11 answers incorrect, complete a true statement.

a)

Robert earns 24.5 points and wins the game.

b)

Robert earns 25 points and wins the game.

c)

Robert earns 25.75 points and wins the game.

d)

Robert earns 24.5 points and does not win the game.

37.

A jar contains 5 blue marbles, 2 red marbles, and 3 green marbles. If a marble is selected at random, which of the following represents the sample space of possible outcomes? Let B represent selecting a blue marble, R a red marble, and G a green marble.

a)

{B, R, G}

b)

{B, B, B, B, R, R, G}

c)

{B, B, R, R, G, G, G, G, G}

d)

{B, B, B, B, B, R, R, G, G, G}

38.

A local pottery studio is offering a beginner pottery class. The instructor is paid a flat rate of $100 plus $32 per student. How many people need to enroll for the instructor to earn $516?

a)

12

b)

13

c)

14

d)

15

39.

How much cardboard is needed to make the cylindrical shipping container shown (including both bases)? Use 3.14 for π and the formula for the surface area of a cylinder SA = 2πrh + 2πr². Round your answer to the nearest square inch.

a)

327 square inches

b)

402 square inches

c)

452 square inches

d)

502 square inches

40.

A company’s daily sales decrease by 30% over three months. If the sales were $1,500 per day at the start, what are the current daily sales? Select all the true statements.

a)

x = 1,050

b)

1.3(1,500) = x

c)

1,500 + 0.3(1,500) = x

d)

1,500 - 0.3(1,500) = x

e)

0.7(1,500) = x

41.

Reggie rides his bike a distance of 57.5 feet in 5 seconds. Assume the relationship between distance and time is proportional. Write an equation to represent the distance traveled, y, after x seconds. Express your answer in the form y = kx.

a)

y = 11.5x

b)

y = 57.5x

c)

y = 5x

d)

y = 10x

42.

Using the correct equation from question 41, how many seconds will it take Reggie to ride a distance of 230 feet?

a)

20 seconds

b)

15 seconds

c)

25 seconds

d)

10 seconds

43.

The line plot shows a student’s quiz scores. Which measures of center and variability should be used to describe the data?

a)

mean and range

b)

median and IQR

c)

mean and IQR

d)

median and range

44.

Angela wants to learn how to rock climb. The Rocky Climbing gym has a special where 5 climbs costs $52.50. Select the equation that represents the total cost, t, of c climbs. Assume the relationship is proportional.

a)

c = 10.5t

b)

t = 10.5c

c)

c = 52.5t

d)

t = 52.5c

45.

A bottle of water that is 80°F is placed in a cooler full of ice. The temperature of the water decreases by 0.5°F every minute. What is the temperature of the water, in degrees Fahrenheit, after 5 1/2 minutes? Express your answer as a decimal.

a)

77.25°F

b)

77.5°F

c)

77.75°F

d)

78°F

46.

The diameter of a cylinder is 7 feet, and the height is 12 feet. What is the volume of the cylinder in terms of π? Recall that the volume formula for a cylinder is V=πr2hV = \pi r^2 h .

a)

127π ft³

b)

147π ft³

c)

213π ft³

d)

588π ft³

47.

What is the surface area, in square inches, of the cylinder that is represented by the net? Express your answer in terms of π. The formula for area of a circle is A = πr2\pi r^2 and for circumference of circle is C = πd. So, consider using the surface area formula SA = Ch + 2A.

a)

104π in²

b)

138π in²

c)

164π in²

d)

194π in²

48.

Are the expressions −14(3.2b+2.4)-\frac{1}{4}(3.2b + 2.4) and −0.8b−0.6-0.8b - 0.6 equivalent?

a)

yes

b)

no

49.

Alisa needs 4.65 feet of fencing to complete the fence she is building. She has a piece of fencing that is 4564\frac{5}{6} ft long. Does she have enough fencing?

a)

has

b)

does not have

50.

A bag contains 8 cards numbered from 1 through 8. Jeremiah records the experimental probability of randomly choosing the number 5 after 50, 100, 150, and 200 trials. For which number of trials would you expect the experimental probability to be closest to 18\frac{1}{8} ?

a)

50 trials

b)

100 trials

c)

150 trials

d)

200 trials

51.

Tonya is making a circle graph of the data shown in the table. How many degrees will the section for piano have?

a)

30 degrees

b)

60 degrees

c)

45 degrees

d)

90 degrees

52.

On a scale drawing of a soccer field, 0.5 cm equals 8 m. If the drawing has dimensions 6.5 cm x 3.25 cm (length × width), what is the actual length of the soccer field, in meters?

a)

104 m

b)

52 m

c)

130 m

d)

65 m

53.

The values in the table are in a proportional relationship, y = kx. What is the constant of proportionality, k?

a)

2

b)

13\frac{1}{3}

c)

3

d)

6

54.

Find the area of the parallelogram. Use the formula A = bh. Select the correct answer.

a)

32.8 in.2

b)

46 in.2

c)

52.2 in.2

d)

64 in.2

55.

The line plots show the amount of time spent reading by each group. Use the median of each data set to compare the amount of time spent reading by 7th and 8th graders.

a)

The 7th graders spend more time reading.

b)

The 8th graders spend more time reading.

c)

Both groups spend about the same amount of time reading.

d)

There is not enough information.

56.

Is there a proportional relationship between x and y in the table? Complete a true statement.

a)

The relationship is proportional because all the ratios y/x are equivalent.

b)

The relationship is not proportional because all the ratios y/x are not equivalent.

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