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 #7 : How To Find Mean

In my town, a gallon of gas costs $3.47, $3.79 and $3.60 in three different stations. What is the average price of a gallon of gas in my town?

Possible Answers:

\(\displaystyle \$10.86\)

\(\displaystyle \$3.47\)

\(\displaystyle \$3.79\)

\(\displaystyle \$3.60\)

\(\displaystyle \$3.62\)

Correct answer:

\(\displaystyle \$3.62\)

Explanation:

First, add all of the prices:

\(\displaystyle 3.47+3.79+3.60=10.88\)

Then, divide by 3 (total number of stations)

\(\displaystyle 10.88\div 3=3.62\)

Answer: The average price for a gallon of gas in my town is \(\displaystyle \$3.62.\)

Example Question #13 : How To Find Mean

Find the mean in this set of numbers:

3343, 4434, 4334, 3343, 4343, 3434, 3334

Possible Answers:

\(\displaystyle 1100\)

\(\displaystyle 3795\)

\(\displaystyle 3343\)

\(\displaystyle 3334\)

Correct answer:

\(\displaystyle 3795\)

Explanation:

First, add all the numbers in this set:

\(\displaystyle 3343+4434+4334+3343+4343+3434+3334=26565\)

Then, divide by 7 (the amount of numbers in this set):

\(\displaystyle 26565 \div 7=3795\)

Answer: The mean is 3795

Example Question #14 : How To Find Mean

Find the mean for this set of numbers:

6366, 6336, 6366, 6633, 6333, 6363, 6669

Possible Answers:

\(\displaystyle 6450\)

\(\displaystyle 6430\)

\(\displaystyle 6435\)

\(\displaystyle 6438\)

Correct answer:

\(\displaystyle 6438\)

Explanation:

First, add all the numbers in the set:

\(\displaystyle 6366+6336+6366+6633+6333+6363+6669=45066\)

Then, divide by the total amount of numbers in the set:

\(\displaystyle 45066\div 7=6438\)

Answer: The mean is 6438

Example Question #15 : How To Find Mean

Felicia ran three races as a member of the track team. The races were 1000 meters, 2000 meters and 1800 meters, respectively. What was the average distance of the 3 races?

Possible Answers:

\(\displaystyle 4800\)

\(\displaystyle 1600\)

\(\displaystyle 1200\)

\(\displaystyle 3000\)

Correct answer:

\(\displaystyle 1600\)

Explanation:

First, add the lengths of the races:

\(\displaystyle 1000+2000+1800=4800\)

Then divide by the number of races:

\(\displaystyle 4800 \div 3=1600\)

Answer: The average race was 1600 meters.

Example Question #1701 : Grade 6

Lori walks her dog for 13 minutes on Monday, 6.5 minutes on Wednesday and 10.5 on Friday. On average, how long are Lori's walks with her dog?

Possible Answers:

\(\displaystyle 13\)

\(\displaystyle 10\)

\(\displaystyle 3\)

\(\displaystyle 30\)

Correct answer:

\(\displaystyle 10\)

Explanation:

First, add all the lengths of time:

\(\displaystyle 13+6.5+10.5=30\)

Then, divide by 3 (the amount of days Lori walked her dog):

\(\displaystyle 30\div 3=10\)

Answer: 10 minutes

Example Question #11 : Mean

Find the average of these amounts:

$34.78, $21. 69, $76.89, $47.88

Possible Answers:

\(\displaystyle 45.31\)

\(\displaystyle 47.88\)

\(\displaystyle 41.31\)

\(\displaystyle 181.24\)

Correct answer:

\(\displaystyle 45.31\)

Explanation:

First, add all the amounts:

\(\displaystyle 34.78+21.69+76.89+47.88=181.24\)

Then, divide by 4:

\(\displaystyle 181.24\div 4=45.31\)

Answer: The average is 45.31

Example Question #21 : Find Measures Of Center, Variability, And Patterns In Data: Ccss.Math.Content.6.Sp.B.5c

Find the mean of this set of numbers:

5855, 5588, 5585, 5858, 5885, 5559, 5885

Possible Answers:

\(\displaystyle 327\)

\(\displaystyle 5745\)

\(\displaystyle 5885\)

\(\displaystyle 5858\)

Correct answer:

\(\displaystyle 5745\)

Explanation:

First, add the numbers in the set:

\(\displaystyle 5855+5588+5585+5858+5885+5559+5885=40215\)

Then, divide by the amount of numbers in the set:

\(\displaystyle 40215\div 7=5745\)

Answer: The mean is 5745.

Example Question #22 : Find Measures Of Center, Variability, And Patterns In Data: Ccss.Math.Content.6.Sp.B.5c

Find the mean of the following set of numbers:  227, 215, 206, 238, 249

Possible Answers:

\(\displaystyle 215\)

\(\displaystyle 228\)

\(\displaystyle 238\)

\(\displaystyle 227\)

\(\displaystyle 226\)

Correct answer:

\(\displaystyle 227\)

Explanation:

Add the numbers, and divide by 5:

\(\displaystyle \frac{ 227 + 215 +206+238+ 249}{5} = \frac{1,135}{5} = 227\)

Example Question #11 : Find Mean

Mason went on a road trip Saturday-Monday. Each day he travelled 76 miles, 89 miles and 72 miles. What was the average number of miles Mason travelled each day?

Possible Answers:

\(\displaystyle 75\)

\(\displaystyle 72\)

\(\displaystyle 76\)

\(\displaystyle 79\)

Correct answer:

\(\displaystyle 79\)

Explanation:

First, add all the miles travelled:

\(\displaystyle 76+89+72=237\)

Then, divide by 3:

\(\displaystyle 237\div 3=79\)

Answer: On average, Mason travelled 79 miles a day.

Example Question #24 : Mean

Patricia bought three candles for her home. The candles cost $2.78, $3.68, $1.58, respectively. What was the average price of the candles that Patricia bought?

 

Possible Answers:

\(\displaystyle \$2.78\)

\(\displaystyle \$3.00\)

\(\displaystyle \$2.68\)

\(\displaystyle \$1.50\)

Correct answer:

\(\displaystyle \$2.68\)

Explanation:

First, add all the prices:

\(\displaystyle 2.78+3.68+1.58=8.04\)

Then, divide that amount by 3:

\(\displaystyle 8.04\div 3=2.68\)

Answer: The average price of a candle is $2.68

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