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NC 6th Grade Math Released Items 2018-2019 Spiral Review

Total questions: 46

Worksheet time: 12hrs 30mins

Name
Class
Date
1.

What is the value of 5210÷5×235^2 - 10 \div 5 \times 2^3 ?

a)

0

b)

18

c)

24

d)

40

2.

Paul had a job during his summer vacation. He earned $8.75 per hour. He worked 20 hours per week for 8 weeks. How much money did Paul earn?

a)

$1,200

b)

$1,400

c)

$1,600

d)

$1,800

3.

Which expression is equivalent to (25x - 10y)?

a)

5(5x - 2y)

b)

5(5x - 10y)

c)

5(20x - 5y)

d)

5(20x - 10y)

4.

Jim and Ed are debating the answer to the equation 23m=14\frac{2}{3} m = \frac{1}{4} . Jim states that mm is equal to 2232 \frac{2}{3} . Ed states that mm is equal to 38\frac{3}{8} . Which statement is true?

a)

Jim’s answer of 2232 \frac{2}{3} is correct because he divided 23\frac{2}{3} by 14\frac{1}{4} to get his answer.

b)

Jim’s answer of 2232 \frac{2}{3} is correct because he divided 14\frac{1}{4} by 23\frac{2}{3} to get his answer.

c)

Ed’s answer of 38\frac{3}{8} is correct because he multiplied 14\frac{1}{4} by 23\frac{2}{3} to get his answer.

d)

Ed’s answer of 38\frac{3}{8} is correct because he divided 14\frac{1}{4} by 23\frac{2}{3} to get his answer.

5.

Jamal will cut a piece of wood that is 2122 \frac{1}{2} feet long into 14\frac{1}{4} -foot sections. How many sections will result?

a)

5

b)

8

c)

10

d)

12

6.

Tonya pays $300 each month to rent an office where she earns $25 per hour tutoring students. Which equation represents Tonya’s profit, y, for working x hours?

a)

y = 25 + 300x

b)

y = 25x + 300

c)

y = 25 − 300x

d)

y = 25x − 300

7.

Which statement is true?

a)

0.04 < 0.004

b)

8.2 < 8.02

c)

7.6 < 7.67

d)

0.03 < 0.003

8.

Andy runs the same number of miles, x, every week. His total distance run each week is less than 60 miles. Which inequality represents how many miles Andy runs each week?

a)

x ≥ 60

b)

x ≤ 60

c)

x > 60

d)

x < 60

9.

What is the value of (5r+15)2(5r + \frac{1}{5})^2 when r = 0?

a)

1/25

b)

1/5

c)

1

d)

5

10.

During a weekend, the manager of a mall gave away gift cards to every 80th person who visited the mall. On Saturday, 1,210 people visited the mall. On Sunday, 1,814 people visited the mall. How many people received a gift card?

a)

37

b)

38

c)

39

d)

40

11.

Jenny bought gas for her car. Gas cost $3.45 per gallon, and she bought 12.2 gallons. What was the total cost for Jenny’s gas? Express the answer as dollars.cents.

a)

$42.09

b)

$41.94

c)

$43.29

d)

$40.50

12.

What is the value of 1,608 ÷ 10³?

a)

1.608

b)

16.08

c)

0.1608

d)

160.8

13.

Steve has 2 1/2 cups of flour. One of his recipes requires 1/8 cup of flour. What is the maximum number of times Steve can complete the recipe?

a)

20

b)

18

c)

16

d)

15

14.

What should you do before starting the calculator active test questions?

a)

Start working immediately

b)

Look back over your answers for the calculator inactive questions

c)

Ask a friend for help

d)

Skip to the end of the test

15.

How do you let your teacher know you are ready to begin the calculator active test questions?

a)

Shout out loud

b)

Raise your hand

c)

Start using the calculator

d)

Write a note

16.

When should you begin work on the calculator active test questions?

a)

As soon as you finish the inactive questions

b)

After your teacher has given you a calculator

c)

Before the test starts

d)

Whenever you feel ready

17.

An airplane travels at a constant speed of 320 miles per hour. How far, in miles, will the airplane travel in 15 minutes?

a)

80 miles

b)

60 miles

c)

40 miles

d)

20 miles

18.

Ryan is building a tree house. It will take 85 1/4 hours to complete. He can work on the tree house 15 1/2 hours each week. To the nearest tenth, how many weeks will it take Ryan to complete the tree house?

a)

5.5 weeks

b)

6.0 weeks

c)

5.0 weeks

d)

4.5 weeks

19.

What is the value of x when 13x=913\frac{1}{3} x = 9 \frac{1}{3} ?

a)

28

b)

27

c)

30

d)

25

20.

Jenny has finished 12 of the 20 lessons in her piano book. Liam has finished the same percent of lessons from his piano book. His book contains 30 lessons. How many lessons has Liam finished?

a)

15

b)

18

c)

20

d)

12

21.

Sam is using the expression m8n\frac{m}{8n} in class. What is the value of the expression when m=4m = 4 and n=12n = \frac{1}{2} ?

a)

1

b)

2

c)

0.5

d)

4

22.

What is the area of the pentagon shown below?

a)

27 square feet

b)

58.5 square feet

c)

85.5 square feet

d)

117 square feet

23.

What is the surface area of the three-dimensional figure?

a)

184 ft²

b)

180 ft²

c)

150 ft²

d)

125 ft²

24.

The graph shows segment FG & Point P. Point M is located in the 3rd quadrant. The distance between points M & P is half the distance between points F & G. Segment MP is parallel to segment FG. What is the first coordinate of point M?

a)

-10

b)

-8

c)

-2

d)

-1

25.

There are 4 trucks for every 5 cars in a parking lot. How many trucks and cars could be in the parking lot?

a)

64 trucks and 80 cars

b)

72 trucks and 73 cars

c)

84 trucks and 100 cars

d)

96 trucks and 110 cars

26.

Suzy is wrapping a cube-shaped box and wants to make sure she has enough wrapping paper. What is the area she needs to cover?

a)

20.25 in.²

b)

96 in.²

c)

121.5 in.²

d)

150 in.²

27.

Jamal scored 62, 75, 76, and 90 on four tests. What does he need to score on the fifth test in order to have a mean of exactly 80?

a)

80

b)

100

c)

93

d)

97

28.

Seventy-five 6th-grade students chose to watch a movie on the last day of school. This is 25% of the 6th-grade class. How many total students are in the 6th grade?

a)

100

b)

200

c)

300

d)

400

29.

What is the area of triangle LMN?

a)

24 square units

b)

27 square units

c)

48 square units

d)

54 square units

30.

This table shows the number of minutes Carol and Anna walked each day for 5 days. Which statement is true?

a)

Carol’s mean for the number of minutes she walked is equal to her median.

b)

Carol’s mean for the number of minutes she walked is greater than Anna’s mean.

c)

Anna’s median for the number of minutes she walked is greater than her mean.

d)

Anna’s mean for the number of minutes she walked is equal to Carol’s mean.

31.

A restaurant orders corn tortillas and flour tortillas. The ratio of the number of corn tortillas to the number of flour tortillas is 2 : 3. What is the ratio of the number of flour tortillas to the total number of tortillas?

a)

3 : 8

b)

3 : 5

c)

2 : 8

d)

2 : 5

32.

In the table, the ratio of y to x is constant. What is the value of the missing number?

a)

15

b)

20

c)

25

d)

30

33.

The table shows the daily amount that Trevor spent on snacks. During which week did Trevor spend a mean amount of $0.85 per day on snacks?

a)

Week 1

b)

Week 2

c)

Week 3

d)

Week 4

34.

A set of stickers contains 4 hearts for every 6 stars. Which choice contains an equivalent ratio of hearts to stars?

a)

6 hearts to 9 stars

b)

2 hearts to 4 stars

c)

1 heart to 3 stars

d)

8 hearts to 10 stars

35.

A list of numbers is shown: 7, 14, 15, 9, 11, 14, 11, 10, 17. What is the mean of the list of numbers?

a)

10

b)

11

c)

12

d)

13

36.

Which value from the set {1/2, 2/3, 4/3, 5/2} is a value of x that will make the equation 3/4 ÷ x = 9/8 true?

a)

1/2

b)

2/3

c)

4/3

d)

5/2

37.

What is the volume of the right rectangular prism shown?

a)

8 1/4 in.³

b)

13 1/4 in.³

c)

16 1/4 in.³

d)

20 5/16 in.³

38.

Jason owns a party supply store. - He sells balloons for $0.50 each and party hats for $1.25 each. - Jason buys each balloon for $0.10 and each party hat for $0.20. Which expression represents how much money Jason gains from selling n balloons and h party hats?

a)

0.40n + 1.05h

b)

0.60n + 1.45h

c)

1.75nh

d)

1.45h – 0.60n

39.

Sarah earns $400 per week and spends 15% of her earnings on transportation. How much does Sarah spend on transportation every week?

a)

$80

b)

$75

c)

$60

d)

$55

40.

Karen has a cube that has a side length of 6 in. What is the surface area of the cube?

a)

36 square inches

b)

144 square inches

c)

180 square inches

d)

216 square inches

41.

Which expression is equal to 48 + 72?

a)

24(2 + 3)

b)

8(6 + 12)

c)

3(14 + 24)

d)

2(24 + 38)

42.

A store sells cans of tomatoes priced as shown. Which size can of tomatoes has the lowest cost per ounce?

a)

10 ounces

b)

15 ounces

c)

18 ounces

d)

32 ounces

43.

If 45% of a number, n, is 225, what is 74% of n?

a)

185

b)

298

c)

370

d)

406

44.

A researcher was interested in how much Vitamin C adults had in their daily diets. The researcher surveyed 100 random adults and made a box plot based on the amounts of Vitamin C in the diets of the 100 adults. What percent of those in the survey get at least 90 milligrams of Vitamin C?

a)

between 25% and 50%

b)

between 50% and 75%

c)

less than 25%

d)

more than 75%

45.

At a middle school, 74 students have freckles. There are 258 students in the school. To the nearest tenth of a percent, what percent of the students have freckles?

a)

18.4%

b)

28.7%

c)

34.6%

d)

40.2%

46.

A motorcycle can go 50 miles using one gallon of gas. About how many gallons of gas will be used to go 150 kilometers? (Note: 1 mile is approximately 1.6 kilometers.)

a)

5 gallons

b)

3 gallons

c)

2 gallons

d)

1 gallon