Common Core: 6th Grade Math : Grade 6

Study concepts, example questions & explanations for Common Core: 6th Grade Math

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Example Questions

Example Question #3552 : Operations

Use the computation shown to find the products:

                  

Possible Answers:

Correct answer:

Explanation:

The computation shows that  with a remainder of .

                  

So it must be that:

Simplify.

The correct answer is 

Example Question #41 : The Number System

Use the computation shown to find the products:

                  

Possible Answers:

Correct answer:

Explanation:

The computation shows that  with a remainder of .

                  

So it must be that:

Simplify.

The correct answer is 

Example Question #131 : Grade 6

Fill in the blank to make a true statement:

 

_______ 

Possible Answers:

Correct answer:

Explanation:

To find out what number to subtract 0.7 from to get 2.8, just do the opposite - add 0.7 to 2.8.

Example Question #3282 : Ssat Elementary Level Quantitative (Math)

Solve for :

Possible Answers:

Correct answer:

Explanation:

To divide, move the decimal point in both numbers right two places to make the divisor whole.

Example Question #2 : Fluently Add, Subtract, Multiply, And Divide Multi Digit Decimals: Ccss.Math.Content.6.Ns.B.3

Dawna wants to buy coffee beans from a local supermarket. If the coffee beans costs a pound, how much would Dawna have to spend on coffee beans if she only wants to buy of a pound?

Possible Answers:

Correct answer:

Explanation:

We have to multiply the cost per pound by the weight that Dawna wants:

This is the same as saying: .

Example Question #1 : Fluently Add, Subtract, Multiply, And Divide Multi Digit Decimals: Ccss.Math.Content.6.Ns.B.3

What number is in the hundredths place of  

Possible Answers:

Correct answer:

Explanation:

. The hundredths place is occupied by 7.

Example Question #1 : Decimals

A runner runs 10.2 miles east, then 2.3 miles west, then 1.4 miles east.

How many miles did the runner travel from where he started? (How far east did the runner go)?

Possible Answers:

9.3 miles

6.5 miles

19.3 miles

13.9 miles

10.2 miles

Correct answer:

9.3 miles

Explanation:

When the runner is travelling east, it's in the positive direction. West is the negative direction. So we can compute it by doing the operation 10.2 + (–2.3) + 1.4 = 9.3

Example Question #1 : How To Add And Subtract Decimals

Define an operation  on the set of positive integers as follows:

If , then which of the following could not be equal to?

Possible Answers:

Correct answer:

Explanation:

If , then the greatest common factor of and 20 is 10. 80 and 20 both have 20 as a factor - 20 is its own factor, since , and 20 is a factor of 80, since . Therefore, 10 is not the greatest common factor of 20 and 80, and 80 is the correct choice.

Of the other three factors, it can be seen that the GCF of 20 and each individual number is 10 by looking at each prime factorization:

In each pairing, the common prime factors are 2 and 5, so the GCF is .

Example Question #1 : Arithmetic

Menu 1

The above is a menu at the concession stand at a drive-in movie. 

Gary wants to order two hamburgers and two small orders of fries. He wants to order two sodas of the same size. If he has just a twenty-dollar bill on hand, what is the largest size soda of which he can order two?

Possible Answers:

Gary can afford two medium sodas, but not two large sodas

Gary can afford two large sodas

Gary can afford two small sodas, but not two medium or large sodas

Gary cannot afford two sodas

Correct answer:

Gary can afford two large sodas

Explanation:

The easiest way to think of this is to note that Gary seems to be ordering for two people, himself and a friend. He has $20, so half of this will be for himself and half for his friend - and half of $20 is $10.

Each hamburger costs $4.89, and each small order of fries costs $2.29. This leaves 

to spend on a soda for each person. This will enable to him to buy both himself and his friend a large soda.

Example Question #301 : Arithmetic

Gradechart

If Exam 1 is worth 25% of the total grade, Exam 2 is worth 25% and Exam 3 is worth 50%, what is Dave’s final grade?

Possible Answers:

82

79

84

83.5

85.75

Correct answer:

84

Explanation:

Final Grade = Exam1 * 0.25 + Exam 2 * 0.25 + Exam3 * 0.50 =

96*0.25 + 70*0.25 + 85*0.5 =

24 + 17.5 + 42.5 = 84

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