ISEE Middle Level Math : ISEE Middle Level (grades 7-8) Mathematics Achievement

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

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Example Questions

Example Question #37 : Mean

Find the mean in this set of numbers:

\(\displaystyle 7890, 7980, 7880, 7890, 7990\)

 

Possible Answers:

\(\displaystyle 7920\)

\(\displaystyle 7826\)

\(\displaystyle 7990\)

\(\displaystyle 7926\)

Correct answer:

\(\displaystyle 7926\)

Explanation:

First, add all the numbers in the set: 

\(\displaystyle 7890+7980+7880+7890+7990=39630\)

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

\(\displaystyle 39630\div5=7926\)

Answer: The mean is \(\displaystyle 7926\) 

Example Question #601 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Find the mean of this set of numbers: 

\(\displaystyle 1185, 1518, 1158, 1581, 1851, 1581, 1815\)

Possible Answers:

\(\displaystyle 1581\)

\(\displaystyle 1515\)

\(\displaystyle 1518\)

\(\displaystyle 1527\)

Correct answer:

\(\displaystyle 1527\)

Explanation:

First, add all the numbers in this set: 

\(\displaystyle 1185+ 1518+ 1158+ 1581+ 1851+ 1581+ 1815=10689\)

Then, divide by the total amount of numbers in the set: \(\displaystyle 10689 \div 7=1527\)

Answer: The mean is \(\displaystyle 1527\).

Example Question #41 : Mean

What is the mean of the following numbers?

\(\displaystyle 14,22,12,11,13,6\)

Possible Answers:

\(\displaystyle 13.5\)

\(\displaystyle 15\)

\(\displaystyle 16\)

\(\displaystyle 13\)

Correct answer:

\(\displaystyle 13\)

Explanation:

The mean is determined by calculating the sum of all values divided by the total number of values:
\(\displaystyle mean=\frac{\sum_n}{n}=\frac{14+22+12+11+13+6}{6}=\frac{78}{6}=13\)

Example Question #601 : Isee Middle Level (Grades 7 8) Mathematics Achievement

What is the average of the numbers in this set?

\(\displaystyle 1150, 1510, 1552\)

Possible Answers:

\(\displaystyle 402\)

\(\displaystyle 1510\)

\(\displaystyle 1510\)

\(\displaystyle 1404\)

Correct answer:

\(\displaystyle 1404\)

Explanation:

First add all three numbers: 

\(\displaystyle 1150+1510+1552=4212\)

Then divide by \(\displaystyle 3\):

\(\displaystyle 4212\div3=1404\)

 

 

Example Question #602 : Isee Middle Level (Grades 7 8) Mathematics Achievement

What is the range in this set of numbers?

\(\displaystyle 1150, 1550, 1510\)

Possible Answers:

\(\displaystyle 400\)

\(\displaystyle 1500\)

\(\displaystyle 1510\)

\(\displaystyle 1150\)

Correct answer:

\(\displaystyle 400\)

Explanation:

Order the numbers from least to greatest: 

\(\displaystyle 1150, 1510, 1550\)

Then subtract the smallest number from the largest number: \(\displaystyle 1550-1150=400\)

Example Question #603 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Find the mean in this set of numbers:

\(\displaystyle 654, 645, 646, 656, 655, 664, 644\)

Possible Answers:

\(\displaystyle 650\)

\(\displaystyle 652\)

\(\displaystyle 644\)

\(\displaystyle 655\)

Correct answer:

\(\displaystyle 652\)

Explanation:

First add all the numbers in this set:

\(\displaystyle 654+ 645+ 646+ 656+655+664+644=4564\)

Then divide by \(\displaystyle 7\):

\(\displaystyle 4564\div 7=652\)

 

Example Question #45 : Mean

Britney is shopping for shorts. What is the average price of the shorts Britney is considering buying if their prices are $7.99, $10.99, $12.99 and $9.99?

 

 

Possible Answers:

\(\displaystyle \$41.96\)

\(\displaystyle \$10.99\)

\(\displaystyle \$12.99\)

\(\displaystyle \$11.01\)

\(\displaystyle \$10.49\)

 

Correct answer:

\(\displaystyle \$10.49\)

 

Explanation:

First, add the the prices of the shorts:

\(\displaystyle 7.99+10.99+12.99+9.99=41.96\)

Then, divide that amount by the total number of shorts:

\(\displaystyle 41.96\div 4=10.49\)

The answer is \(\displaystyle \$ 10.49\).

Example Question #604 : Isee Middle Level (Grades 7 8) Mathematics Achievement

It rained 2 inches on Saturday, 4 inches on Sunday, 3, inches on Monday, and 3 inches on Tuesday. On average, how many inches did it rain each day?

 

Possible Answers:

\(\displaystyle 4\)

\(\displaystyle 3\)

\(\displaystyle 9\)

\(\displaystyle 12\)

\(\displaystyle 6\)

Correct answer:

\(\displaystyle 3\)

Explanation:

Find the total inches of rain first:

\(\displaystyle 2+4+3+3=12\)

Then, divide by the number of days:

\(\displaystyle 12\div 4=3\).

Therefore, on average, it rained 3 inches a day.

Example Question #48 : Mean

Find the mean in this set of numbers:

\(\displaystyle 58, 61, 57, 56, 63\)

Possible Answers:

\(\displaystyle 62\)

\(\displaystyle 59\)

\(\displaystyle 57\)

\(\displaystyle 56\)

\(\displaystyle 58\)

Correct answer:

\(\displaystyle 59\)

Explanation:

First add all the numbers in the set:

\(\displaystyle 58+ 61+ 57+ 56+ 63=295\)

Then, divide by the number of terms in the set:

\(\displaystyle 295\div 5=59\)

Answer: The mean is \(\displaystyle 59\).

Example Question #47 : Mean

Find the average in this set of numbers:

\(\displaystyle 43, 48, 41, 45, 43\)

Possible Answers:

\(\displaystyle 44\)

\(\displaystyle 41\)

\(\displaystyle 45\)

\(\displaystyle 43\)

Correct answer:

\(\displaystyle 44\)

Explanation:

First, add all the numbers in the set:

\(\displaystyle 43+48+41+45+43=220\)

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

\(\displaystyle 220\div 5=44\)

Answer: The average is \(\displaystyle 44\)

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