6th grade advanced topic iv equivalent forms of...

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

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6th Grade Advanced Topic IV Equivalent Forms of Fractions, Decimals, and Percents, MA.6.A.5.1, MA.6.A.5.2, MA.6.A.5.3, MA.7.A.5.1

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

____ 1 Susan learned that of the students at her school participate in band, participate in choir,

and participate in sports. None of the students participate in more than one of these activities. What percentage represents the portion of students at Susan’s school who participate in band, choir, or sports? A. 10% B. 30% C. 45% D. 55%

____ 2 On average, Maria is able to make 85% of her free throw attempts. Which of the following is equivalent to 85%?

F. 0.085G. 8.5

H. 58

I. 1720

____ 3 Carmen said 30% of her savings this month will be spent on her trip during Spring Break. Which of the following is equivalent to 30%?

A. 0.03B. 0.3

C. 3100

D. 30

____ 4 Marcus has 20 video games for his Nintendo DS. He noticed that 14 of the games are sports games and 2

5 of

the games are action games. The remaining games are adventure games. What percent of the games are adventure games?

F. 25%G. 35%H. 40%I. 65%

Name: ________________________ ID: A

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____ 5 A school surveyed its students regarding their favorite lunches. When the survey results were reviewed, the principal announced some facts about the survey results, as shown below.

• A total of 400 votes were cast • 15% of the votes were for tacos

• 58 of the votes were for pizza

The remaining votes were for hamburgers. What was the total number of votes for hamburgers?

A. 60B. 90C. 250D. 310

____ 6 Which percentage is represented by Point X?

F. 42% G. 48% H. 50% I. 53%

____ 7 Four students each weighed a pencil and recorded their results in the table below.

Which list of names is in order from the student with the LIGHTEST pencil to the student with the HEAVIEST pencil? A. David, Liu, Sarah, Brad B. David, Sarah, Liu, Brad C. Brad, Liu, Sarah, David D. Brad, Sarah, Liu, David

Name: ________________________ ID: A

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____ 8 If the following numbers were plotted on a number line, which number would be nearest to zero?

F. 0.15G. 0.015

H. 43

I. 710

____ 9 Which number sentence is TRUE?

A.

B.

C.

D.

____ 10 Which number has the LEAST value? F. 3.0

G.

H.

I. 0.62

____ 11 Paulina made the table below to show the distance she hit each of 4 golf balls as a portion of the full length of the golf range.

Which golf ball was hit the GREATEST distance? A. 1 B. 2 C. 3 D. 4

Name: ________________________ ID: A

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____ 12 After eating dinner, Anthony compared the number of calories in each food item he ate to the total number of calories in his lunch. The picture below shows an approximate portion of the total calories for each food item he ate.

0.4 25% 15 0.15

Which of the following lists the numbers in order from least to greatest?

F. 0.4, 15 , 0.15, 25%

G. 0.4, 0.15, 25%, 15

H. 0.15, 25%, 0.4, 15

I. 0.15, 15 , 25%, 0.4

____ 13 Which list of decimal numbers is ordered from LEAST to GREATEST? A. 7.016, 70.106, 70.061, 7006.1 B. 70.061, 7006.1, 7.016, 70.106 C. 70.061, 7.016, 7006.1, 70.106 D. 7.016, 70.061, 70.106, 7006.1

____ 14 Tia ran mile, turned left, ran miles, turned right, ran miles, and stopped. Which method would provide the MOST reasonable estimate of the total distance, in miles, that Tia ran? F. add G. add H. add I. add

Name: ________________________ ID: A

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____ 15 Three friends bought a pizza for $11.85 and a gallon of milk for $3.09. They split the total cost evenly. Which method would provide the estimate CLOSEST to the amount of money paid by each of the three friends? A. B. C. D.

____ 16 Henry earned $30.72 by mowing lawns. He spent of these earnings at the movie theater and of these earnings at the store. Which estimate is CLOSEST to the total amount of money Henry spent? F. $4 G. $9 H. $13 I. $15

____ 17 One-sixth of the student population in a school wears eyeglasses. Half of the students who wear eyeglasses are males. The student population is 593. About how many male students wear eyeglasses? A. 20 B. 50 C. 100 D. 200

____ 18 A landscaper designed a garden with

• 8% of the area covered with flowers,• 6% covered with stones, and• 9% covered with small bushes.

The rest of the area will be covered with grass. Which fraction is CLOSEST to the area of the garden that will be covered with grass?

F.

G.

H.

I.

Name: ________________________ ID: A

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____ 19 Sharon worked 39 hours last week at her job. She spent 15 of her time in training and 1

4 of her time

in the office. Which method would provide the most reasonable estimate of the total number of hours Sharon spent in training and in the office last week?

A. multiply 14 by 40

B. multiply 12 by 40

C. multiply 15 by 40 and add 1

5 to the product

D. multiply 15 by 1

4 and multiply the product by 40

____ 20 Carmen and Felicia spent a total of 3 34 hours to complete a research paper. About a half hour of

this time was spent on typing the paper, and they had two sessions of research that were 15 of an

hour each. Which of the following is the best estimate of the remaining time that was spent on writing the rough draft?

F. 2 1720 hours

G. 3 hours

H. 3 12 hours

I. 5 hours

____ 21 What is the fractional equivalent of 3.15?

A.

B.

C.

D.

Name: ________________________ ID: A

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____ 22 Charlene’s teacher uses a ruler to help students understand how fractions and decimal numbers are related. First, the teacher showed Charlene that 0.5 is equivalent to as shown below.

Which decimal number is equivalent to F. 1.1875 G. 1.7500 H. 1.7800 I. 1.8750

____ 23 Which fraction is equivalent to 0.015?

A.

B.

C.

D.

____ 24 Which decimal is equivalent to F. 7.23 G. H. 7.6 I.

____ 25 Which decimal is equivalent to A. B. C. D.

GR 6 Advanced ‐ Topic IV Assessment

TEACHER ANSWER KEY

ID: A

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6th Grade Advanced Topic IV Equivalent Forms of Fractions, Decimals, and Percents, MA.6.A.5.1, MA.6.A.5.2, MA.6.A.5.3, MA.7.A.5.1Answer Section

MULTIPLE CHOICE

1 ANS: D

FeedbackA Chose percentage of students who participate in band B Approximated percentage for students in band and choir C Approximated percentage for students in choir and sports D Correct

PTS: 1 DIF: M REF: Math OBJ: MA.6.A.5.1 Use equivalent forms of fractions, decimals, and percents to solve problems.STA: MA.6.A.5.1 TOP: MA.6.A.5 Number and Operations KEY: Webb: Moderate | Grade 06MSC: ItemCode: MF210340

2 ANS: I PTS: 1 DIF: M REF: MathOBJ: MA.6.A.5.1 Use equivalent forms of fractions, decimals, and percents to solve problems.STA: MA.6.A.5.1 TOP: MA.6.A.5 Number and Operations KEY: Webb: Low | Grade 06MSC: Extra Problem Bank

3 ANS: B PTS: 1 DIF: L REF: MA.6.A.5.1 Use equivalent forms of fractions, decimals, and percents to solve problems.STA: MA.6.A.5.1 TOP: MA.6.A.5 Number and Operations KEY: Webb: Low | Grade 06MSC: Extra Problem Bank

4 ANS: G PTS: 1 DIF: M REF: MathOBJ: MA.6.A.5.1 Use equivalent forms of fractions, decimals, and percents to solve problems.STA: MA.6.A.5.1 TOP: MA.6.A.5 Number and Operations KEY: Webb: Moderate | Grade 06MSC: Extra Problem Bank

5 ANS: B PTS: 1 DIF: M REF: MathOBJ: MA.6.A.5.1 Use equivalent forms of fractions, decimals, and percents to solve problems.STA: MA.6.A.5.1 TOP: Number and Operations KEY: Webb: Moderate | Grade 06MSC: Extra Problem Bank

ID: A

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6 ANS: G

FeedbackF Misread graph G Correct H Misread graph I Read graph from right to left

PTS: 1 DIF: M REF: Math OBJ: MA.6.A.5.2 Compare and order fractions, decimals, and percents, including finding their approximate location on a number line. STA: MA.6.A.5.2 TOP: MA.6.A.5 Number and Operations KEY: Webb: Moderate | Grade 06MSC: ItemCode: MF001560

7 ANS: C

FeedbackA Reverse, but Liu + Sarah B Reverse C Correct D Confused Sarah + Liu

PTS: 1 DIF: M REF: Math OBJ: MA.6.A.5.2 Compare and order fractions, decimals, and percents, including finding their approximate location on a number line. STA: MA.6.A.5.2 TOP: MA.6.A.5 Number and Operations KEY: Webb: Low | Grade 06MSC: ItemCode: MF200329

8 ANS: G PTS: 1 DIF: M REF: MathOBJ: MA.6.A.5.2 Compare and order fractions, decimals, and percents, including finding their approximate location on a number line. STA: MA.6.A.5.2 TOP: MA.6.A.5 Number and Operations KEY: Webb: Moderate | Grade 06MSC: Extra Problem Bank

9 ANS: A

FeedbackA Correct B Confused inequality symbol C Confused inequality symbol D


ID: A

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10 ANS: H

FeedbackF Does not understand relative size of numbers G Divided 7 by 5 H Correct I Misconception regarding decimal fractions and percentages, believed greatest =

least number

PTS: 1 DIF: L REF: Math OBJ: MA.6.A.5.2 Compare and order fractions, decimals, and percents, including finding their approximate location on a number line. STA: MA.6.A.5.2 TOP: MA.6.A.5 Number and Operations KEY: Webb: Low | Grade 06MSC: ItemCode: MF212079

11 ANS: B

FeedbackA Does not understand how to compare values B Correct C Does not understand how to compare values D Does not understand how to compare values


12 ANS: I PTS: 1 DIF: M REF: MathOBJ: MA.6.A.5.2 Compare and order fractions, decimals, and percents, including finding their approximate location on a number line. STA: MA.6.A.5.2 TOP: MA.6.A.5 Number and Operations KEY: Webb: Moderate | Grade 06MSC: Extra Problem Bank

13 ANS: D

FeedbackA Lacks concept of ordering decimals B Lacks concept of ordering decimals C Lacks concept of ordering decimals D Correct

PTS: 1 DIF: H REF: Math OBJ: MA.6.A.5.2 Compare and order fractions, decimals, and percents, including finding their approximate location on a number line. STA: MA.6.A.5.2 TOP: MA.6.A.5 Number and Operations KEY: Webb: Low | Grade 06MSC: ItemCode: MFIBM20391

ID: A

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14 ANS: H

FeedbackF Added only the whole numbers

G Rounded and to 0

H Correct I Rounded to 2 instead of 1

PTS: 1 DIF: M REF: Math OBJ: MA.6.A.5.3 Estimate the results of computations with fractions, decimals, and percents and judge the reasonableness of the results. STA: MA.6.A.5.3 TOP: MA.6.A.5 Number and Operations KEY: Webb: Moderate | Grade 06MSC: ItemCode: MF222327

15 ANS: D

FeedbackA Rounded the pizza to $11 and the milk to $4 B Rounded the pizza to $11 C Rounded the milk to $4 D Correct


16 ANS: I

Feedback

F

G Rounded 30.72 to 30 and calculated

H

I Correct


ID: A

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17 ANS: B

FeedbackA Divided 600 by 60, then multiplied by 2 B Correct C Found only of 600

D Found of 600, then multiplied by 2 instead of dividing

PTS: 1 DIF: H REF: Math OBJ: MA.6.A.5.3 Estimate the results of computations with fractions, decimals, and percents and judge the reasonableness of the results. STA: MA.6.A.5.3 TOP: MA.6.A.5 Number and Operations KEY: Webb: Moderate | Grade 06MSC: ItemCode: MF223419

18 ANS: I

FeedbackF Estimated for the area that will not be covered with grass, but did not

subtract from 100 G Estimated for the area that will not be covered with grass, but did

not subtract from 100 H Estimated for the area that will not be covered with grass, but did

not subtract from 100 I Correct


19 ANS: B PTS: 1 DIF: M REF: MathOBJ: MA.6.A.5.3 Estimate the results of computations with fractions, | decimals, and percents, and judge the reasonableness of the results. STA: MA.6.A.5.3 TOP: MA.6.A.5 Number and Operations KEY: Webb: Moderate | Grade 06MSC: Extra Problem Bank

20 ANS: G

3 34 ≈ 4 hours; 1

5 + 15 ≈ 1

2 hour; 12 + 1

2 ≈ 1 hour

4 hours − 1 hour = 3 hours

PTS: 1 DIF: M REF: Math OBJ: MA.6.A.5.3 Estimate the results of computations with fractions, decimals, and percents, and judge the reasonableness of the results. STA: MA.6.A.5.3 TOP: MA.6.A.5 Number and Operations KEY: Webb: Moderate | Grade 06MSC: Extra Problem Bank

ID: A

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21 ANS: C

FeedbackA Does not understand fractional equivalents of numbers with decimals B Does not understand fractional equivalents of numbers with decimals C Correct D Does not understand fractional equivalents of numbers with decimals

PTS: 1 DIF: M REF: Math OBJ: MA.7.A.5.1 Express rational numbers as terminating or repeating decimals.STA: MA.7.A.5.1 TOP: MA.7.A.5 Number and Operations KEY: Webb: Moderate | Grade 07MSC: ItemCode: MF203194

22 ANS: I

FeedbackF Uses G Simplifies H Uses the 1, 7, and 8 I Correct

PTS: 1 DIF: L REF: Math OBJ: MA.7.A.5.1 Express rational numbers as terminating or repeating decimals.STA: MA.7.A.5.1 TOP: MA.7.A.5 Number and Operations KEY: Webb: Low | Grade 07MSC: ItemCode: MF214227

23 ANS: A

FeedbackA Correct B

C Based on 15 in “tenths” place reciprocated

D

PTS: 1 DIF: L REF: Math OBJ: MA.7.A.5.1 Express rational numbers as terminating or repeating decimals.STA: MA.7.A.5.1 TOP: MA.7.A.5 Number and Operations KEY: Webb: Low | Grade 07MSC: ItemCode: MF222127

ID: A

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24 ANS: I

FeedbackF Used digits from the original fraction G Used digits from the original fraction and does not understand the repeating bar H Did not add the repeating bar I Correct

PTS: 1 DIF: M REF: Math OBJ: MA.7.A.5.1 Express rational numbers as terminating or repeating decimals.STA: MA.7.A.5.1 TOP: MA.7.A.5 Number and Operations KEY: Webb: Low | Grade 07MSC: ItemCode: MF222360

25 ANS: A

FeedbackA Correct B Repeated 3 digits after the decimal point instead of 2 C Divided 11 by 6 D Divided 11 by 6 with incorrect repeat bar

PTS: 1 DIF: M REF: Math OBJ: MA.7.A.5.1 Express rational numbers as terminating or repeating decimals.STA: MA.7.A.5.1 TOP: MA.7.A.5 Number and Operations KEY: Webb: Low | Grade 07MSC: ItemCode: MF223167

6th grade advanced topic iv equivalent forms of...

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