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SSAT Middle Level Math : How to find a proportion

Study concepts, example questions & explanations for SSAT Middle Level Math

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Example Questions

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Example Question #3 : Use The Four Operations To Solve Word Problems Involving Various Measures: Ccss.Math.Content.4.Md.A.2

Today Jenny worked on homework for 120 minutes when she got home from school and then worked on homework for hours after dinner. In minutes, what was the total time that Jenny spent working on homework?

Possible Answers:

$200\ \space minutes$

$220\ \space minutes$

$230\ \space minutes$

$240\ \space minutes$

$210\ \space minutes$

Correct answer:

$240\ \space minutes$

Explanation:

The first thing we need to do is put our hours into minutes because our final answer is asking for minutes. We know that 1 hr=60min . We can set up a proportion and cross multiply to solve.

$\frac{1hr}{60min}=\frac{2hr}{x}$

1hr(x)=60min(2hr)

Then we can divide to isolate the .

$\frac{1hr(x)}{1hr}=\frac{60min(2hr)}{1hr}$

x=60min(2)

x=120 min

Now we can add our minutes from before and after dinner together to find our total.

120min+120min=240min

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Example Question #4 : Use The Four Operations To Solve Word Problems Involving Various Measures: Ccss.Math.Content.4.Md.A.2

Jessica ran sprints for 120 seconds, and Megan ran sprints for minutes. How many more minutes did Megan run than Jessica?

Possible Answers:

$3\ \space minutes$

$1\ \space minutes$

$5\ \space minutes$

$4\ \space minutes$

$2\ \space minutes$

Correct answer:

$5\ \space minutes$

Explanation:

The first thing we need to do is put our seconds into minutes because our final answer is asking for minutes. We know that 1min=60sec . We can set up a proportion and cross multiply to solve.

$\frac{1min}{60sec}=\frac{x}{120sec}$

60sec(x)=120sec(1min)

Then we can divide to isolate the .

$\frac{60sec(x)}{60sec}=\frac{120sec(1min)}{60sec}$

x=2min

Now we need to subtract to find our difference.

7min-2min=5min

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Example Question #1 : Use The Four Operations To Solve Word Problems Involving Various Measures: Ccss.Math.Content.4.Md.A.2

Joe’s school is feet from his house, and his classroom is another inches once he gets to the school. In inches, how far does he walk to his classroom?

Possible Answers:

$90\ \speace inches$

$120\ \speace inches$

$100\ \speace inches$

$41\ \speace inches$

$58\ \speace inches$

Correct answer:

$120\ \speace inches$

Explanation:

The first thing we need to do is put our feet into inches because our final answer is asking for inches. We know that 1ft=12in . We can set up a proportion and cross multiply to solve.

$\frac{1ft}{12in}=\frac{7ft}{x}$

1ft(x)=7ft(12in)

Then we can divide to isolate the .

$\frac{1ft(x))}{1ft}=\frac{7ft(12in)}{1ft}$

x=84in

Now we can add our inches together to find our total.

84in+36in=120in

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Example Question #71 : Measurement & Data

Tim has liters of soda. He pours milliliters into a glass and drinks it all. In milliliters, how much soda is left?

Possible Answers:

$17\ \space milliliters$

$9\ \space milliliters$

$1\textup{,}993\ \space milliliters$

$2\textup {,}000\ \space milliliters$

$1\textup{,}800\ \space milliliters$

Correct answer:

$1\textup{,}993\ \space milliliters$

Explanation:

The first thing we need to do is put our liters into milliliters because our final answer is asking for milliliters. We know that 1l=1,000ml . We can set up a proportion and cross multiply to solve.

$\frac{1l}{1,000ml}=\frac{2l}{x}$

1l(x)=1,000ml(2l)

Then we can divide to isolate the .

$\frac{1l(x)}{1l}=\frac{1,000ml(2l)}{1l}$

x=2,000ml

Now we can subtract to find out how much is left.

2,000ml-7ml=1,993

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Example Question #171 : Ratio And Proportion

Ella wants to make 30 cookies, but the recipe only makes 12 cookies. What does she have to multiply all of the ingredients by in order to make the right amount of cookies?

Possible Answers:

2.75

2.25

2.5

Correct answer:

2.5

Explanation:

The proportion of the amount of cookies the recipe makes to the cookies she wants to make is 30:12 . If you divide by , you get 2.5 . Ella will have to multiply each ingredient by 2.5 in order to make 30 cookies.

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Example Question #51 : How To Find A Proportion

Sarah walked $5\textup { feet}$ to the stop sign, and then $24\textup{ inches}$ to her friend’s house. In feet, how far did she walk?

Possible Answers:

4ft

3ft

5ft

6ft

7ft

Correct answer:

7ft

Explanation:

The first thing we need to do is put our inches into feet because our final answer is asking for feet. We know that 1ft=12in . We can set up a proportion and cross multiply to solve.

$\frac{1ft}{12in}=\frac{x}{24in}$

12in(x)=1ft(24in)

Then we can divide to isolate the .

$\frac{12in(x)}{12in}=\frac{1ft(24in)}{12in}$

x=2ft

Now we can add our feet together to find our total.

5ft+2ft=7ft

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Example Question #51 : How To Find A Proportion

Avery has $8\textup{ liters}$ of juice. She pours $3\textup{ liters}$ into a pitcher. In $\textup{milliliters}$ , how much of the juice is not in the pitcher?

Possible Answers:

7ml

13ml

$5\textup,000ml$

5ml

$7\textup,000ml$

Correct answer:

$5\textup,000ml$

Explanation:

Because our systems of measurements are the same, the first thing we want to do is subtract.

8l-3l=5l

Our answer is asking us for milliliters, so we need to convert into milliliters. We know that 1l=1,000ml . We can set up a proportion and cross multiply to solve.

$\frac{1l}{1,000ml}=\frac{5l}{x}$

1l(x)=1,000ml(2l)

Then we can divide to isolate the .

$\frac{1l(x)}{1l}=\frac{1,000ml(5l)}{1l}$

x=5,000ml

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Example Question #21 : Convert Among Different Sized Standard Measurement Units: Ccss.Math.Content.5.Md.A.1

How many $\textup{meters}$ are in $4\textup{ centimeters?}$

Possible Answers:

$40\textup{ meters}$

$400\textup{ meters}$

$.04\textup{ meters}$

$.004\textup{ meters}$

$4\textup{ meters}$

Correct answer:

$.04\textup{ meters}$

Explanation:

To solve this problem we can make proportions.

We know that $1\ centimeter= .01\ meters$ and we can use as our unknown.

$\frac{1\ centimeter}{.01\ meter}=\frac{4\ centimeters}{x\ meters}$

Next, we want to cross multiply and divide to isolate the on one side.

$1\ centimeter\times x\ meters=.01\ meter\times 4\ centimeters$

$x\ meters=\frac{.01\ meter\times 4\ centimeters}{1\ centimeter}$

The centimeters will cancel and we are left with $.04\ meters$

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Example Question #31 : Convert Among Different Sized Standard Measurement Units: Ccss.Math.Content.5.Md.A.1

How many $\textup{ meters}$ are in $7\textup{ centimeters?}$

Possible Answers:

$700\textup{ meters}$

$70\textup{ meters}$

$.07\textup{ meters}$

$.007\textup{ meters}$

$7\textup{ meters}$

Correct answer:

$.07\textup{ meters}$

Explanation:

To solve this problem we can make proportions.

We know that $1\ centimeter= .01\ meters$ and we can use as our unknown.

$\frac{1\ centimeter}{.01\ meter}=\frac{7\ centimeters}{x\ meters}$

Next, we want to cross multiply and divide to isolate the on one side.

$1\ centimeter\times x\ meters=.01\ meter\times 7\ centimeters$

$x\ meters=\frac{.01\ meter\times 7\ centimeters}{1\ centimeter}$

The centimeters will cancel and we are left with $.07\ meters$

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Example Question #181 : Ratio And Proportion

$\frac{C}{D} = \frac{11}{14}$

11D = ?

Possible Answers:

C+ 14

$\frac{C}{14}$

14C

$\frac{14}{C}$

Correct answer:

14C

Explanation:

The cross-products (the product of a numerator and the other denominator) of a proportion are equal, so, if

$\frac{C}{D} = \frac{11}{14}$ ,

it follows that

11D = 14C .

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SSAT Middle Level Math : How to find a proportion

Study concepts, example questions & explanations for SSAT Middle Level Math

All SSAT Middle Level Math Resources

Example Questions

Example Question #3 : Use The Four Operations To Solve Word Problems Involving Various Measures: Ccss.Math.Content.4.Md.A.2

Example Question #4 : Use The Four Operations To Solve Word Problems Involving Various Measures: Ccss.Math.Content.4.Md.A.2

Example Question #1 : Use The Four Operations To Solve Word Problems Involving Various Measures: Ccss.Math.Content.4.Md.A.2

Example Question #71 : Measurement & Data

Example Question #171 : Ratio And Proportion

Example Question #51 : How To Find A Proportion

Example Question #51 : How To Find A Proportion

Example Question #21 : Convert Among Different Sized Standard Measurement Units: Ccss.Math.Content.5.Md.A.1

Example Question #31 : Convert Among Different Sized Standard Measurement Units: Ccss.Math.Content.5.Md.A.1

Example Question #181 : Ratio And Proportion

All SSAT Middle Level Math Resources

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