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Common Core: 4th Grade Math : Common Core Math: Grade 4

Study concepts, example questions & explanations for Common Core: 4th Grade Math

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All Common Core: 4th Grade Math Resources

7 Diagnostic Tests 189 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

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

On Saturday Jake raked leaves for 180 minutes and on Sunday he raked leaves for hours. In hours, how much total time did he spend raking on both Saturday and Sunday?

Possible Answers:

Correct answer:

Explanation:

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

$\frac{1hr}{60min}=\frac{x}{180min}$

60min(x)=1hr(180min)

Then we can divide to isolate the .

$\frac{60min(x)}{60min}=\frac{1hr(180min)}{60min}$

x=3hr

Now we can add our hours together to find the total.

3hr+2hr=5hr

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

Matt studied for 180 minutes everyday from Monday-Friday. How many total hours did he spend studying?

Possible Answers:

Correct answer:

Explanation:

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

$\frac{1hr}{60min}=\frac{x}{180min}$

60min(x)=180min(1hr)

Then we can divide to isolate the .

$\frac{60min(x)}{60min}=\frac{180min(1hr)}{60min}$

x=3hr

Now we need to multiply $3\times5$ because Matt studied for hours each day.

$3hr\times5=15hr$

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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

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:

$200\ \space minutes$

$220\ \space minutes$

$210\ \space minutes$

$230\ \space minutes$

$240\ \space minutes$

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 #2 : 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:

$3\ \space minutes$

$1\ \space minutes$

$5\ \space minutes$

$2\ \space minutes$

$4\ \space minutes$

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 #3 : 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:

$100\ \speace inches$

$58\ \speace inches$

$90\ \speace inches$

$120\ \speace inches$

$41\ \speace inches$

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

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

Possible Answers:

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

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

$17\ \space milliliters$

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

$9\ \space milliliters$

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

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

7ft

5ft

6ft

3ft

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 #76 : Measurement & Data

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

$7\textup,000ml$

$5\textup,000ml$

5ml

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

Hannah has a 4lb bag of peanuts that she is going to divide evenly between her four friends. How many ounces of peanuts does she give to each friend?

Possible Answers:

6oz

12oz

1oz

8oz

16oz

Correct answer:

16oz

Explanation:

The first thing we need to do is put our pounds into ounces because our final answer is asking for ounces. We know that 1lb=16oz . We can set up a proportion and cross multiply to solve.

$\frac{1lb}{16oz}=\frac{4lb}{x}$

1lb(x)=16oz(4lb)

Then we can divide to isolate the .

$\frac{1lb(x)}{1lb}=\frac{16oz(4lb)}{1lb}$

x=64oz

Now we need to divide our 64oz by because we are splitting the peanuts up equally between people.

$64oz\div4=16oz$

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Example Question #7 : Use The Four Operations To Solve Word Problems Involving Various Measures: Ccss.Math.Content.4.Md.A.2

Molly has a 6lb bag of peanuts that she is going to divide evenly between her three friends. How many ounces of peanuts does she give to each friend?

Possible Answers:

24oz

23oz

32oz

2oz

Correct answer:

32oz

Explanation:

The first thing we need to do is put our pounds into ounces because our final answer is asking for ounces. We know that 1lb=16oz . We can set up a proportion and cross multiply to solve.

$\frac{1lb}{16oz}=\frac{6lb}{x}$

1lb(x)=16oz(6lb)

Then we can divide to isolate the .

$\frac{1lb(x)}{1lb}=\frac{16oz(6lb)}{1lb}$

x=96oz

Now we need to divide our 96oz by because we are splitting the peanuts up equally between people.

$96oz\div3=32oz$

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Common Core: 4th Grade Math : Common Core Math: Grade 4

Study concepts, example questions & explanations for Common Core: 4th Grade Math

All Common Core: 4th Grade Math Resources

Example Questions

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

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

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

Example Question #76 : Measurement & Data

Example Question #6 : Use The Four Operations To Solve Word Problems Involving Various Measures: Ccss.Math.Content.4.Md.A.2

Example Question #7 : Use The Four Operations To Solve Word Problems Involving Various Measures: Ccss.Math.Content.4.Md.A.2

All Common Core: 4th Grade Math Resources

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