6th Grade MathCRCT Review

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The line plot below shows the ages of teachers in your school.          

Which of the following statements are true according to the data? I. The oldest teacher is 28 years older than the youngest teacher. II. Most of the teachers are over the age of 46. III. The most common age is 47.

A. Statements II and III B. Statements I and III C. None of the statements D. All three statements

#1

#1 Answer

• D – All three statements

Which of the following statements are true according to the data? I. The oldest teacher is 28 years older than the youngest teacher. II. Most of the teachers are over the age of 46. III. The most common age is 47.

Justin is organizing his trophy case. He has 30 baseball trophies and 45 soccer trophies. He wants to arrange the trophies so each row has the same number of trophies from only one sport. What is the greatest number of trophies that can be in each row?

A. 3 B. 5 C. 15D. 30

#2

#2 Answer

• C – 15

30 baseball trophies; 45 soccer trophies

Ralf and his best friend want to buy 3 DVDs normally priced at $20 each in stores A, B, and C. Today, stores A, B, and C have the DVDs on sale. At which store(s) will the friends spend the LEAST money if they buy 3 DVDs?

A. Store A B. Store B C. Stores A and B D. Stores A and C

#3

#3 Answer

• B – store B regular price of DVD = $20

Mark wants to buy a scooter that sells for $250.00. He can pay 20% down and the rest in 12 payments each of $24.37. How much more does the bicycle cost buying it this way than paying for it all at once?

A. $24.37 B. $42.44 C. $69.44 D. $92.44

#4

#4 Answer

D. $92.44Mark wants to buy a scooter that sells for $250.00. He can pay 20% down and the rest in 12 payments each of $24.37. How much more does the bicycle cost buying it this way than paying for it all at once?

For her birthday, Jenna received 5 stuffed animals, 3 DVDs, 2 books, 1 game, 8 CDs, 1 shirt, and 2 pair of jeans. What is the ratio of DVDs to her total number of gifts?

A. 1:3 B. 3:8 C. 3:19 D. 3:22

#5

#5 Answer

D. 3:22For her birthday, Jenna received 5 stuffed animals, 3 DVDs, 2 books, 1 game, 8 CDs, 1 shirt, and 2 pair of jeans. What is the ratio of DVDs to her total number of gifts?

Your best friend plays the drums in a new popular band. Each song is 3 to 5 minutes long. Which is the best estimate for the total number of songs that the band could play in a 2-hour concert?

A. 8 songs B. 12 songs C. 20 songs D. 30 songs

#6

#6 Answer

D. 30 songs

Between 24 – 40 songs. If all of the songs are 5 minutes, then they will do 24 songs, and that is more than choice C. Must be D

Your best friend plays the drums in a new popular band. Each song is 3 to 5 minutes long. Which is the best estimate for the total number of songs that the band could play in a 2-hour concert?

Tommy and Terry have developed a program to help them prepare for a long distance bike trip. They are increasing the number of miles that they ride each week so they will be successful on this trip. The table below shows the number of miles each traveled for the first half of the program.

If both Tommy and Terry continue to increase the number of miles traveled each week at the constant rates shown in the table, which of the following is a true statement about week 8?

A. Terry will travel more miles than Tommy. B. Tommy and Terry will travel the same number

of miles. C. Terry will travel a total of 13 miles. D. Tommy and Terry will travel a total of 20 miles.

#7

#7 Answer

A.Terry will travel more miles than Tommy.

If both Tommy and Terry continue to increase the number of miles traveled each week at the constant rates shown in the table, which of the following is a true statement about week 8?

A. Terry will travel more miles than Tommy. B. Tommy and Terry will travel the same number

of miles. C. Terry will travel a total of 13 miles. D. Tommy and Terry will travel a total of 20 miles.

Sam picks a apples, and Sally picks 7a+ 2 apples. If Sam picks 8 apples, how many apples does Sally pick?  A. 7 B. 9 C. 58D. 80

#8

#8 Answer

C. 58Sam picks a apples, and Sally picks 7a+ 2 apples. If Sam picks 8 apples, how many apples does Sally pick?

The results of a survey of sixth grade students indicated that 34% preferred math, 23% preferred science, 18% preferred social studies, and 15% preferred language arts. All other students either did not have a favorite subject or picked a connections/elective class.

Which type of data display would be MOST appropriate for showing the data?

A. bar graph B. circle graphC. histogram D. pictograph

#9

#9 Answer

B. circle graph

The data is given in percents. This is showing parts to a whole, so a circle graph would best display the data

The results of a survey of sixth grade students indicated that 34% preferred math, 23% preferred science, 18% preferred social studies, and 15% preferred language arts. All other students either did not have a favorite subject or picked a connections/elective class.

Which type of data display would be MOST appropriate for showing the data?

The table below shows Marie’s results on a 50-question social studies test.

Of the questions Marie answered correctly, what percent were true-false questions?

A. 30% B. 40% C. 67% D. 75%

#10

#10 Answer

A. 30% Of the 50 questions Marie answered correctly, what percent were true-false questions?

You are sending a blanket to your friend. In determining the cost for mailing the package, the post office needs to know the dimensions of the package and the total weight.

Which unit would be MOST appropriate for measuring the package?  A. cubic inches B. feet C. inchesD. square feet

#11

#11 Answer

C. Inches

Since it isn’t asking for volume, then cubic inches (A) isn’t the most appropriate. Since we don’t need to find the area, then square feet (D) isn’t the most appropriate. That leaves feet or inches. We can fold the blanket up into the box, so the box would most appropriately be measured in inches.

the post office needs to know the dimensions of the package and the total weight. Which unit would be MOST appropriate for measuring the package?

Fifty-six students submitted entries to the Reflections competition sponsored by the PTA. Twelve students won the opportunity to progress to the state level. Which is the ratio of students who progressed to the state level to those who submitted entries?  A. 1 to 12 B. 3 to 14 C. 3 to 25 D. 1 to 56

#12

#12 Answer

B. 3 to 14 Fifty-six students submitted entries to the Reflections competition sponsored by the PTA. Twelve students won the opportunity to progress to the state level. Which is the ratio of students who progressed to the state level to those who submitted entries?

At her job, Paula is paid $15.00 per hour. When she drives her car for work, she is paid an additional 0.485 per mile. The expression below can be used to find the amount she is paid, in dollars, when she works for h hours and drives m miles in her car.

15h + 0.485m

How much is Paula paid when she works 18 hours and drives 348 miles in her car?  A. $63.50 B. $188.10 C. $446.28 D. $366.50

#13

#13 Answer

C. $446.28 The expression below can be used to find the amount she is paid, in dollars, when she works for h hours and drives m miles in her car.

15h + 0.485m

How much is Paula paid when she works 18 hours and drives 348 miles in her car?

Which is true about the figure below?

A. The figure has rotational symmetry after a 45° turn. B. The figure has rotational symmetry after a 90° turn.C. The figure has rotational symmetry after a 120° turn. D. The figure does not have rotational symmetry.

#14

#14 Answer

B. The figure has rotational symmetry after a 90° turn.

C.

Original 90 degree turn

A soft drink can holds 350 mL of cola. If the machine at the canning company contains 700 L of cola, how many cans may be filled before the machine is empty?

A. 2 B. 20 C. 200 D. 2000

#15

#15 Answer

D. 2000A soft drink can holds 350 mL of cola. If the machine at the canning company contains 700 L of cola, how many cans may be filled before the machine is empty?

Nathan has a rectangular 15ft x 30ft garden. His next door neighbor has a garden measuring 10yd x 20yd. Which statement accurately compares the areas of the two gardens?

A. The area of Nathan’s garden is exactly 1.5 times larger than the area of his neighbor’s garden. B. The area the neighbor’s garden is exactly 2 times larger than the

area of Nathan’s garden. C. The area of Nathan’s garden is exactly 2.25 times larger than the

area of his neighbor’s garden. D. The area the neighbor’s garden is exactly 4 times larger than the

area of Nathan’s garden.

#16

#16 AnswerD. The area the neighbor’s garden is exactly 4 times larger than the area of Nathan’s garden. Nathan has a rectangular 15ft x 30ft

garden. His next door neighbor has a garden measuring 10yd x 20yd. Which statement accurately compares the areas of the two gardens? garden.

Missy enjoys building model antique cars.

If the actual car was 16 ¼ feet long and her model is 3 ¼ inches long. What is the scale factor of the model car?

A. ¼ inch = 1 foot B. ½ inch = 3 feet C. 1 inch = 5 feet D. 1 inch = 5 feet and 4 inches

#17

#17 Answer

C. 1 inch = 5 feet

If the actual car was 16 ¼ feet long and her model is 3 ¼ inches long. What is the scale factor of the model car?

It takes your teacher 10 minutes to grade 3 of your class papers. Which pair of ratios could be used to determine how long it will take her to grade all 117 of her students’ papers?

3 117A. =

10 p

3 pB. =

117 10117 p

C. =10 3

117 10D. =

p 3

#18

#18 Answer

A.

I didn’t set it up exactly the same, but my cross products are the same. Therefore, the proportions are the same.

3 117

10p

It takes your teacher 10 minutes to grade 3 of your class papers. Which pair of ratios could be used to determine how long it will take her to grade all 117 of her students’ papers?

The BuyDirt/SellDirt Company uses a truck with a rectangular prism bed that is 24 feet long, 8 feet wide, and 6 feet high. They charge $288 per truck load to take dirt away, and they sell the dirt they have moved for $192 per truck load. Each truck is considered full when the bed of the truck is filled so that the dirt is level with the top. If they have a customer that needs 5760 cubic feet of dirt moved and another customer that will buy the dirt; how much money will the company receive?

A. $480 B. $2,400 C. $4,800 D. $9,600

#19

#19 Answer

B. $2,400

The BuyDirt/SellDirt Company uses a truck with a rectangular prism bed that is 24 feet long, 8 feet wide, and 6 feet high. They charge $288 per truck load to take dirt away, and they sell the dirt they have moved for $192 per truck load. Each truck is considered full when the bed of the truck is filled so that the dirt is level with the top. If they have a customer that needs 5760 cubic feet of dirt moved and another customer that will buy the dirt; how much money will the company receive?

A musical instrument to be used with elementary school students is being made out of cylinders that are ¼ full of rice. Your art class has decided to decorate the instruments. Cindy wants to cover hers with cloth.

What is the BEST ESTIMATE for the amount of cloth she will need to cover the entire cylinder?

A. 32 cm² B. 60 cm² C. 120 cm² D. 230 cm²

#20

#20 Answer

D. 230 cm² A musical instrument to be used with elementary school students is being made out of cylinders that are ¼ full of rice. Your art class has decided to decorate the instruments. Cindy wants to cover hers with cloth. What is the BEST ESTIMATE for the amount of cloth she will need to cover the entire cylinder?

If you were flying over Egypt in a helicopter, what would a square-based pyramid look like looking down from the sky?

A.

B.

C.

D.

#21

#21 Answer

A.

The Girl Scout troop sold 416 boxes of cookies the first two days they sold cookies. Which proportion could be used to make the best estimate for the number of cookies that the troop will sell in 8 days?

A.

B.

C.

D.

#22

#22 Answer

D. The Girl Scout troop sold 416 boxes of cookies the first two days they sold cookies. Which proportion could be used to make the best estimate for the number of cookies that the troop will sell in 8 days?

A spider crawled 25 cm in 6 seconds. How long will it take the spider to crawl 1150 cm if it continues at the same rate?

A. 51 minutes B. 55 minutes C. 4 minutes, 36 secondsD. 6 minutes, 56 seconds

#23

#23 Answer

C. 4 minutes, 36 secondsA spider crawled 25 cm in 6 seconds. How long will it take the spider to crawl 1150 cm if it continues at the same rate?

The circles below represent a cookie cake and a regular cookie. The diameter of the cookie cake is 42 centimeters. The ratio of the diameter of the cookie cake to the diameter of the cookie is 7:1.

What is the area, in square centimeters, of the regular cookie?

A. 6π cm² B. 9π cm² C. 21π cm² D. 42π cm²

#24

#24 Answer

B. 9π cm² The circles below represent a cookie cake and a regular cookie. The diameter of the cookie cake is 42 centimeters. The ratio of the diameter of the cookie cake to the diameter of the cookie is 7:1. What is the area, in square centimeters, of the regular cookie?

Amy earns d dollars for raking leaves each week. She also receives an allowance of $12 per week. The expression below can be used to calculate the amount of money she will have at the end of 8 weeks.

(12 + d) x 8

What is the amount of money Amy will have at the end of eight weeksif d = $20?  

A. $160 B. $172 C. $248 D. $256

#25

#25 Answer

D. $256(12 + d) x 8

What is the amount of money Amy will have at the end of eight weeksif d = $20?  

The students on your bus were excited because not only did you have the nicest bus driver in your district, but she was going to have a baby and every one of the riders wanted to donate some money to purchase a nice baby gift. The problem was trying to agree on a gift, so each person wrote down what they thought the group should buy on a piece of paper and placed it in a box. The results are shown in the chart below.

One of the students reached into the box and drew out a paper at random. What is the probability a piece of paper that had the words ‘rocking chair’ written on it was drawn?

1A.

561

B. 41

C. 514

D. 5

#26

#26 Answer

B. 1

4What is the probability a piece of paper that had the words ‘rocking chair’ written on it was drawn?

#27

The weight specification for a new truck is 1,500 kg. What is the weight of the truck in grams?

A. 150

B. 15,000

C. 1,500,000

D. 150,000,000

#27 Answer

C. 1,500,000The weight specification for a new truck is 1,500 kg. What is the weight of the truck in grams?

#28

In Laverne’s class, of the students ride the bus to school. What percent of the students in her class ride the bus to school?

A. 20%

B. 25%

C. 45%

D. 80%

45

#28 Answer

D. 80%In Laverne’s class, of the students ride the bus to school. What percent of the students in her class ride the bus to school?

45

#29

Dottie needs to learn a total of 24 vocabulary words. She has learned 75% of the words. How many of her vocabulary words did she learn so far?

A. 3

B. 6

C.18

D.21

#29 Answer

C. 18Dottie needs to learn a total of 24 vocabulary words. She has learned 75% of the words. How many of her vocabulary words did she learn so far?

#30

A square has a perimeter of 36 inches. What is the perimeter in feet?

A. 1 foot

B. 3 feet

C. 9 feet

D. 12 feet

#30 Answer

B. 3 feet A square has a perimeter of 36 inches. What is the perimeter in feet?

#31

Mike has a cube. The length of each side is 4.8 cm. Which of these is the BEST estimate of the surface area of Mike’s cube?

A. 20 cm²

B. 60 cm²

C. 150 cm²

D. 180 cm²

#31 Answer

C. 150 cm²Mike has a cube. The length of each side is 4.8 cm. Which of these is the BEST estimate of the surface area of Mike’s cube?

#32

Carlos made a scale model of his house. The actual width is 30 feet, and the actual length is 45 feet. If the model has a width of 3.75 inches, what is the length of his model?

A. 2.5 inches

B. 5.625 inches

C. 6.75 inches

D. 8 inches

#32 Answer

B. 5.625 inchesCarlos made a scale model of his house. The actual width is 30 feet, and the actual length is 45 feet. If the model has a width of 3.75 inches, what is the length of his model?

#33

A Grade 6 class has 15 boys and 12 girls. What is the ratio of boys to girls in the class?

A. 4:5

B. 5:4

C. 4:9

D. 5:9

#33 Answer

B. 5:4A Grade 6 class has 15 boys and 12 girls. What is the ratio of boys to girls in the class

#34

A cookie factory produces 325 cookies per hour. On average, 30 are broken. At this rate, if they produce 4,550 cookies, how many can they expect to be broken?

A. 214

B. 280

C. 420

D. 492

#34 Answer

C. 420A cookie factory produces 325 cookies per hour. On average, 30 are broken. At this rate, if they produce 4,550 cookies, how many can they expect to be broken?

#35

A student randomly chooses one pen from a box containing 1 black, 3 red, and 6 blue pens. What is the probability that the student chooses a blue pen?

A. B.

C. D.

64

610

23

16

#35 Answer

C. 610

A student randomly chooses one pen from a box containing 1 black, 3 red, and 6 blue pens. What is the probability that the student chooses a blue pen?

#36

Melanie likes to race miniature cars. Every five seconds, she records the total distance her car travels. Which graph would BEST represent this type of data?

A. bar graph

B. circle graph

C. line plot

D. line graph

#36 Answer

D. line graph

A line graph shows change over time.

Melanie likes to race miniature cars. Every five seconds, she records the total distance her car travels. Which graph would BEST represent this type of data?