Common Core: 6th Grade Math : The Number System
Study concepts, example questions & explanations for Common Core: 6th Grade Math
All Common Core: 6th Grade Math Resources
Example Questions
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 
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
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)?
9.3 miles
6.5 miles
19.3 miles
13.9 miles
10.2 miles
9.3 miles
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 : Decimals
Define an operation 
If 
If 
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
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?
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
Gary can afford two large sodas
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
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?
82
79
84
83.5
85.75
84
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
Example Question #3 : How To Multiply And Divide Decimals
Kevin is looking at the blueprint of the house he is building. The scale is 1 inch = 5 feet. On paper, the master bedroom is 2.5 inches by 3 inches. What is the actual size of the bedroom?
20 ft x 30 ft
12.5 ft x 15 ft
7.5 ft x 9 ft
15 ft x 25 ft
10 ft x 10 ft
12.5 ft x 15 ft
The given dimensions must be multiplied by 5, so 2.5 inches becomes 12.5 feet, and 3 inches becomes 15 feet.
Example Question #3 : How To Multiply Decimals
A car has gas mileage of 46 miles per gallon. Assume that gas costs $3.90 per gallon. What would be the total cost of gas if the car traveled 1,150 miles?
$179.40
$100.00
$115.60
$125.70
$97.50
$97.50
First find out how many gallons of gas the car consumed while traveling 1150 miles. This can be found out like so:
1150 miles x gallons/46 miles = 25 gallons
Multiplying 25 by $3.90 yields $97.50.
Example Question #1371 : Act Math
If 
Using the factor-label method we get the following equation.
We treat the units as if they are numbers, and can cancel the units from the fractions.
Example Question #1373 : Act Math
You bought a dozen eggs marked at 
Set the equation up as
Solve for 
or
Therefore the percent sales tax is:
All Common Core: 6th Grade Math Resources
