Name: ________________________ Class: ___________________ Date: __________ ID: A

1

6th Grade Advanced Topic V, Ratio and Rates, MA.6.A.2.1, MA.6.A.2.2

Multiple ChoiceIdentify the choice that best completes the statement or answers the question.

____ 1 Miranda and Justin were practicing hitting home runs at baseball practice. Miranda attempted 36 hits and was successful 6 times. Justin attempted 35 hits and was successful 7 times. At these rates, how many more successful home run hits would Justin make than Miranda if they each attempted 84 hits?

A. 1B. 2C. 7D. 13

____ 2 Terrell drove 720 miles in two days to visit his family. On the first day, he drove 7 hours at an average speed of 60 miles per hour. He continued to drive the same rate on the second day. How many hours did Terrell drive the second day?

F. 5G. 6H. 7I. 8

____ 3 On October 15, 2003, Yang Liwei orbited the Earth 14 times in 21 hours. How many hours did it take Liwei to orbit the Earth one time? A. 0.67 hour B. 1.5 hours C. 7.0 hours D. 294 hours

____ 4 Ian reads at an average rate of 22 pages per hour and reads for 2 hours each night. At this rate, about how many nights will it take him to read a 450-page book? F. 10–11 nights G. 20–21 nights H. 40–41 nights I. 50–51 nights

Name: ________________________ ID: A

2

____ 5 It takes Jordan about 3 minutes to shoot 10 free throws at basketball practice. The clock below shows the time when Jordan will start shooting free throws.

Which clock shows the time CLOSEST to when Jordan will complete 50 free throws? A.

C.

B.

D.

Name: ________________________ ID: A

3

____ 6 Carlos and his crew build small wooden packing crates at a rate of 52 crates per hour. How many crates can they build in hours? F. 312 G. 322 H. 338 I. 350

____ 7 Renuka and Tameem will be competing in a school race. During practice, Renuka ran 2700 feet in 3 minutes and Tameem ran 3200 feet in 4 minutes. At these rates, how many more minutes would it take Tameem to run a 3600-foot race than Renuka?

A. 0.5 minutesB. 1 minuteC. 3.5 minutesD. 7 minutes

____ 8 Hank bought 2 identical candles. In the picture of the candles below, candle B has burned for 45 minutes.

Which measurement will be CLOSEST to the height of candle A after it has burned for 30 minutes? F. 4 inches G. 6 inches H. 8 inches I. 10 inches

____ 9 A certain brand of all-purpose plant food is sprinkled evenly over the soil surface at a rate of 4.8 ounces per 10 square feet. What is the unit rate of ounces per square feet? A. 0.48 B. 2.08 C. 21 D. 48

Name: ________________________ ID: A

4

____ 10 A contractor needs 27 minutes to dig each of the fence-post holes needed for a fence. How much time will the contractor need to dig 6 holes for fence posts? F. 1 hour 27 minutes G. 2 hours 15 minutes H. 2 hours 42 minutes I. 3 hours 10 minutes

____ 11 The turn signal on Car A blinks 7 times every 5 seconds. The turn signal on Car B blinks 5 times every 4 seconds. In one minute, how many more times will the turn signal blink on Car A than the turn signal on Car B? A. 9 B. 15 C. 75 D. 84

____ 12 If Santino drives 25 kilometers per hour, what is his driving rate in kilometers per minute?

F.

G.

H.

I.

____ 13 The ratio of protein to fat in a health-food bar is eight to three. Which numerical value is equivalent to this ratio?

A.

B. 2.3

C.

D. 8.3

Name: ________________________ ID: A

5

____ 14 Carolina purchased different types of halogen light bulbs for the apartment building where she works. The information about the bulbs she purchased is shown in the table below.

HALOGEN LIGHT BULBS PURCHASED

Type of Light Bulb Number Purchased Total Cost

10-Watt Clear 12 $ 18.60

13-Watt Warm White 9 $16.65

20-Watt Capsule Bulb 20 $ 36.00

34-Watt Cool White 10 $16.00

Which type of light bulb costs the least amount per light bulb?

F. 10-Watt ClearG. 13-Watt Warm WhiteH. 20-Watt Capsule BulbI. 34-Watt Cool White

____ 15 A 15-ounce box of cereal is priced at $3.00, while an 18-ounce box of the same brand of cereal is priced at $5.40. What is the difference in the price per ounce of the two boxes of cereal? A. $0.05B. $0.10C. $2.40D. $2.50

Name: ________________________ ID: A

6

____ 16 Rabia is making a fruit salad to take to a party. She buys 1.5 lbs of grapes, a 3-lb bag of apples, 2.5 lbs of bananas, and 2 lbs of cherries at the grocery store. When she gets home, she looks at her receipt.

Which type of fruit cost the most per pound?

F. grapesG. applesH. bananasI. cherries

____ 17 Luis asked the students in his class to choose a favorite type of musical instrument.

• 1 out of every 4 students chose wind instruments.• 2 out of every 7 students chose brass instruments.• 1 out of every 7 students chose string instruments.• 1 out of every 2 students chose percussion instruments.

Which type of musical instrument did MOST students in his class prefer? A. wind B. brass C. string D. percussion

Name: ________________________ ID: A

7

____ 18 A track team has 21 members. The ratio of boys to girls on the team is 3 to 4. Which expression could be used to find the number of boys on the team?

F.

G.

H.

I.

____ 19 The number of boys and girls in each of 4 sixth-grade classes is shown in the table below.

Which class has a girls-to-boys ratio of 1 to 2? A. Class 1 B. Class 2 C. Class 3 D. Class 4

____ 20 Jaxon polled students in his school and found that for every 3 students wearing a jacket, there were 2 students NOT wearing a jacket. Which statement agrees with this ratio? F. 50 students were wearing jackets, and 100 students were not wearing jackets. G. 50 students were wearing jackets, and 30 students were not wearing jackets. H. 150 students were wearing jackets, and 150 students were not wearing jackets. I. 150 students were wearing jackets, and 100 students were not wearing jackets.

 

 

 

 

 

 

 

 

GR 6 Advanced ‐ Topic V Assessment 

TEACHER ANSWER KEY 

ID: A

1

6th Grade Advanced Topic V, Ratio and Rates, MA.6.A.2.1, MA.6.A.2.2Answer Section

MULTIPLE CHOICE

1 ANS: B PTS: 1 DIF: M REF: MathOBJ: MA.6.A.2.1 Use reasoning about multiplication and division to solve ratio and rate problems.STA: MA.6.A.2.1 TOP: MA.6.A.2 Connect ratio and rates to multiplication and divisionKEY: Webb: Moderate | Grade 06 MSC: Extra Problem Bank

2 ANS: F PTS: 1 DIF: M REF: MathOBJ: MA.6.A.2.1 Use reasoning about multiplication and division to solve ratio and rate problems. STA: MA.6.A.2.1 TOP: MA.6.A.2 Connect ratio and rates to multiplication and divisionKEY: Webb: Moderate | Grade 06 MSC: Extra Problem Bank

3 ANS: B

FeedbackA 14 was divided by 21 instead of 21 divided by 7 B Correct C The numbers were subtracted D The numbers were multiplied

PTS: 1 DIF: M REF: Math OBJ: MA.6.A.2.1 Use reasoning about multiplication and division to solve ratio and rate problems.STA: MA.6.A.2.1 TOP: MA.6.A.2 Connect ratio and rates to multiplication and division.KEY: Webb: Low | Grade 06 MSC: ItemCode: MF202347

4 ANS: F

FeedbackF Correct G Only divides by 22 H I

PTS: 1 DIF: L REF: Math OBJ: MA.6.A.2.1 Use reasoning about multiplication and division to solve ratio and rate problems.STA: MA.6.A.2.1 TOP: MA.6.A.2 Connect ratio and rates to multiplication and division.KEY: Webb: Moderate | Grade 06 MSC: ItemCode: MF214221

ID: A

2

5 ANS: D

FeedbackA Subtracted 3 minutes from 7:30 B Added 3 minutes to 7:30 C Added 10 minutes to 7:30 D Correct

PTS: 1 DIF: H REF: Math OBJ: MA.6.A.2.1 Use reasoning about multiplication and division to solve ratio and rate problems.STA: MA.6.A.2.1 TOP: MA.6.A.2 Connect ratio and rates to multiplication and division.KEY: Webb: Moderate | Grade 06 MSC: ItemCode: MF214887

6 ANS: H

FeedbackF G H Correct I rounded

PTS: 1 DIF: L REF: Math OBJ: MA.6.A.2.1 Use reasoning about multiplication and division to solve ratio and rate problems.STA: MA.6.A.2.1 TOP: MA.6.A.2 Connect ratio and rates to multiplication and division.KEY: Webb: Low | Grade 06 MSC: ItemCode: MF215376

7 ANS: A PTS: 1 DIF: M REF: MathOBJ: MA.6.A.2.1 Use reasoning about multiplication and division to solve ratio and rate problems.STA: MA.6.A.2.1 TOP: MA.6.A.2 Connect ratio and rates to multiplication and divisionKEY: Webb: Moderate | Grade 06 MSC: Extra Problem Bank

8 ANS: H

FeedbackF The amount the candle burned in 30 minutes G The approximate height of candle B after 45 minutes H Correct I Underestimates

PTS: 1 DIF: M REF: Math OBJ: MA.6.A.2.1 Use reasoning about multiplication and division to solve ratio and rate problems.STA: MA.6.A.2.1 TOP: MA.6.A.2 Connect ratio and rates to multiplication and division.KEY: Webb: Moderate | Grade 06 MSC: ItemCode: MF215607

ID: A

3

9 ANS: A

FeedbackA Correct B 10 ÷ 4.8 and rounded C 10 4.8, misplaced decimal and rounded D 10 × 4.8

PTS: 1 DIF: L REF: Math OBJ: MA.6.A.2.1 Use reasoning about multiplication and division to solve ratio and rate problems.STA: MA.6.A.2.1 TOP: MA.6.A.2 Connect ratio and rates to multiplication and division.KEY: Webb: Low | Grade 06 MSC: ItemCode: MF223412

10 ANS: H

FeedbackF G Found total time to dig the other 5 holes H Correct I Changed 2.7 hours to 2 hours 70 minutes

PTS: 1 DIF: M REF: Math OBJ: MA.6.A.2.1 Use reasoning about multiplication and division to solve ratio and rate problems.STA: MA.6.A.2.1 TOP: MA.6.A.2 Connect ratio and rates to multiplication and division.KEY: Webb: Moderate | Grade 06 MSC: ItemCode: MF221683

11 ANS: A

FeedbackA Correct B C The number of times the Car B turn signal will blink in one minute D The number of times the Car A turn signal will blink in one minute

PTS: 1 DIF: M REF: Math OBJ: MA.6.A.2.1 Use reasoning about multiplication and division to solve ratio and rate problems.STA: MA.6.A.2.1 TOP: MA.6.A.2 Connect ratio and rates to multiplication and division.KEY: Webb: Moderate | Grade 06 MSC: ItemCode: MFIBM14926

ID: A

4

12 ANS: G

FeedbackF Divided by 100 G Correct H Divided by 20 I Divided by 10

PTS: 1 DIF: H REF: Math OBJ: MA.6.A.2.1 Use reasoning about multiplication and division to solve ratio and rate problems.STA: MA.6.A.2.1 TOP: MA.6.A.2 Connect ratio and rates to multiplication and division.KEY: Webb: Moderate | Grade 06 MSC: ItemCode: MFIBM21946

13 ANS: C

FeedbackA Reciprocal B Similar to 8/3 = with remainder C Correct D Changed to 8 point 3

PTS: 1 DIF: M REF: Math OBJ: MA.6.A.2.2 Interpret and compare ratios and rates. STA: MA.6.A.2.2TOP: MA.6.A.2 Connect ratio and rates to multiplication and division. KEY: Webb: Low | Grade 06 MSC: ItemCode: MF214324

14 ANS: F PTS: 1 DIF: M REF: MathOBJ: MA.6.A.2.2 Interpret and compare ratios and rates. STA: MA.6.A.2.2TOP: MA.6.A.2 Connect ratio and rates to multiplication and division KEY: Webb: Moderate | Grade 06 MSC: Extra Problem Bank

15 ANS: B PTS: 1 DIF: M REF: MathOBJ: MA.6.A.2.2 Interpret and compare ratios and rates. STA: MA.6.A.2.2TOP: MA.6.A.2 Connect ratio and rates to multiplication and division. KEY: Webb: Moderate | Grade 06 MSC: Extra Problem Bank

16 ANS: F PTS: 1 DIF: M REF: MathOBJ: MA.6.A.2.2 Interpret and compare ratios and rates. STA: MA.6.A.2.2TOP: MA.6.A.2 Connect ratio and rates to multiplication and division KEY: Webb: Moderate | Grade 06 MSC: Extra Problem Bank

ID: A

5

17 ANS: D

FeedbackA Subtracted the digits on the first three of the bulleted list, and chose the least

difference B Chose the ratio with the greatest number at the beginning C Subtracted the digits on each of the bulleted list, and chose the greatest

difference D Correct

PTS: 1 DIF: M REF: Math OBJ: MA.6.A.2.2 Interpret and compare ratios and rates. STA: MA.6.A.2.2TOP: MA.6.A.2 Connect ratio and rates to multiplication and division. KEY: Webb: Moderate | Grade 06 MSC: ItemCode: MF222322

18 ANS: G

FeedbackF Chose the expression with the fraction that shows the ratio of boys to girls

instead of the ratio of boys to total G Correct H Chose the expression with the fraction that shows the ratio of girls to boys

instead of the ratio of boys to total I Chose the expression with the fraction that shows the ratio of total to boys

instead of the ratio of boys to total

PTS: 1 DIF: H REF: Math OBJ: MA.6.A.2.2 Interpret and compare ratios and rates. STA: MA.6.A.2.2TOP: MA.6.A.2 Connect ratio and rates to multiplication and division. KEY: Webb: Moderate | Grade 06 MSC: ItemCode: MF222325

19 ANS: C

FeedbackA Used the digits in 12 to create the ratio B Chose a 1:2 ratio boys-to-girls C Correct D Does not understand ratios

PTS: 1 DIF: M REF: Math OBJ: MA.6.A.2.2 Interpret and compare ratios and rates. STA: MA.6.A.2.2TOP: MA.6.A.2 Connect ratio and rates to multiplication and division. KEY: Webb: Moderate | Grade 06 MSC: ItemCode: MF222661

ID: A

6

20 ANS: I

FeedbackF 1:2 G 5:3 H 1:1 I Correct

PTS: 1 DIF: M REF: Math OBJ: MA.6.A.2.2 Interpret and compare ratios and rates. STA: MA.6.A.2.2TOP: MA.6.A.2 Connect ratio and rates to multiplication and division. KEY: Webb: Moderate | Grade 06 MSC: ItemCode: MF222663