ISEE Lower Level Math : Operations

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

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Example Questions

Example Question #21 : Operations

Which expression is equal to 24?

Possible Answers:

\(\displaystyle 5 + (12\times 3)\)

\(\displaystyle (3\times 5)+12-3\)

\(\displaystyle 3+(5\times 12)-3\)

\(\displaystyle (3+5)\times 5+3\)

\(\displaystyle (3+5)\times 12\)

Correct answer:

\(\displaystyle (3\times 5)+12-3\)

Explanation:

Remember the order of operations, so work inside parentheses first:

\(\displaystyle (15)+12-3\)

Then everything else:

\(\displaystyle 27-3=24\)

Example Question #21 : Operations

What is the product of \(\displaystyle \small 3\) and \(\displaystyle \small 75\)?

Possible Answers:

\(\displaystyle \small 150\)

\(\displaystyle \small 72\)

\(\displaystyle \small 13\)

\(\displaystyle \small 225\)

Correct answer:

\(\displaystyle \small 225\)

Explanation:

The term "product" indicates multiplication. 

\(\displaystyle \small 3\times75=225\)

Example Question #23 : Operations

Which expression is equal to \(\displaystyle \small 39\)?

Possible Answers:

\(\displaystyle \small 5\times2 \left+ ( 6-1\right )\)

\(\displaystyle \small 5\times\left(2+6\right) - 1\)

\(\displaystyle \small 5\times\left ( 2+6 -1\right )\)

\(\displaystyle \small \left ( 5\times 2\right )+6-1\)

Correct answer:

\(\displaystyle \small 5\times\left(2+6\right) - 1\)

Explanation:

One should use order of operations (PEMDAS) to solve this equation. In the equation \(\displaystyle \small 5\times\left ( 2+6\right )-1\), order of operations says to first solve the expressions inside the parentheses:

\(\displaystyle \small 2+6=8\).

Multiplication is next in this equation, according to order of operations:

\(\displaystyle \small 5\times8=40\).

Subtraction comes last:

\(\displaystyle \small 40-1=39\)

Example Question #22 : Operations

What is the product of \(\displaystyle 13\) and \(\displaystyle 4\)?

Possible Answers:

\(\displaystyle 3.25\)

\(\displaystyle 48\)

\(\displaystyle 17\)

\(\displaystyle 52\)

Correct answer:

\(\displaystyle 52\)

Explanation:

A product is the result of a multiplication problem.

\(\displaystyle 13\times4=52\).

Therefore, the product of \(\displaystyle 13\) and \(\displaystyle 4\) is equal to \(\displaystyle 52\).

Example Question #23 : Operations

Yesterday, Joe's dad worked for 7.5 hours at a rate of $12.50 per hour. Approximately how much money did he earn yesterday?

Possible Answers:

$125

$95

$60

$75

$166

Correct answer:

$95

Explanation:

First look at the answer choices. They are all at least $15 apart from one another, so we know that we can approximate the answer without worrying about being off by $1 or so.

Let's round 7.5 hours up to 8 hours, and then $12.50 down to $12. Working 8 hours at a rate of $12 per hour gives us a total earnings of $96. The closest answer choice is $95, so that's our answer.

The exact total is in fact $93.75, which is very close to both the answer choice and our approximation.

Example Question #25 : Operations

Find the product.  Round to the nearest tenths place.

\(\displaystyle 5.73 \times 93.41 =\)

Possible Answers:

\(\displaystyle 535.2\)

\(\displaystyle 16.3\)

\(\displaystyle 534.3\)

\(\displaystyle 535.3\)

\(\displaystyle 545.2\)

Correct answer:

\(\displaystyle 535.2\)

Explanation:

Multiply \(\displaystyle 5.73 \times 93.41\) vertically.

After finding the product, don't forget to move the decimal in FOUR places because each number has 2 decimal places \(\displaystyle (2+2 = 4)\).

The product is \(\displaystyle 535.2393\).

Then, round to the nearest tenths place \(\displaystyle 535.2\).

Example Question #24 : Operations

What is a reasonable estimate for \(\displaystyle 2.3 \times 3.1?\)

Possible Answers:

\(\displaystyle 6\)

\(\displaystyle 5\)

\(\displaystyle 3\)

\(\displaystyle 4\)

\(\displaystyle 60\)

Correct answer:

\(\displaystyle 6\)

Explanation:

First, estimate each number. 2.3 rounds to about 2, while 3.1 rounds to about 3. Then, mulitply 2 and 3.

Example Question #25 : Operations

How many millimeters are in 6 meters?

Possible Answers:

\(\displaystyle 600\)

\(\displaystyle 600,000\)

\(\displaystyle 6\)

\(\displaystyle 6000\)

\(\displaystyle 60\)

Correct answer:

\(\displaystyle 6000\)

Explanation:

There are 1,000 mm in each meter. Therefore, you must multiply 6 by 1,000 to get 6,000 millimeters.

Example Question #27 : How To Multiply

A wooden board is \(\displaystyle 4.5\) feet long. What is the length of the board in inches?

Possible Answers:

\(\displaystyle 52\ \text{inches}\)

\(\displaystyle 48\ \text{inches}\)

\(\displaystyle 60\ \text{inches}\)

\(\displaystyle 28\ \text{inches}\)

\(\displaystyle 54\ \text{inches}\)

Correct answer:

\(\displaystyle 54\ \text{inches}\)

Explanation:

There are \(\displaystyle 12\) inches in a foot. If the board is \(\displaystyle 4.5\) feet long, you would multiply this length by the conversion to get the number of inches. 

\(\displaystyle 4.5\times12=54\)

To simplify the multiplication, you can break up the decimal:

\(\displaystyle (12\times4)+(12\times0.5)\)

\(\displaystyle (48)+(6)\)

\(\displaystyle 54\)

\(\displaystyle 54\) is the correct answer.

Example Question #193 : Isee Lower Level (Grades 5 6) Mathematics Achievement

What is the square root of 144?

Possible Answers:

\(\displaystyle 24\)

\(\displaystyle 11\)

\(\displaystyle 13\)

\(\displaystyle 12\)

 \(\displaystyle 16\)

Correct answer:

\(\displaystyle 12\)

Explanation:

The square root operation is the inverse of a number raised to the second power. In other words, we are looking for the number that, when squared, equals 144.

\(\displaystyle x\times x=x^2=144\)

\(\displaystyle \sqrt{144}=x\)

When the number 12 is multiplied by itself, the product is 144.

\(\displaystyle 12\times12=12^2=144\)

\(\displaystyle \sqrt{144}=12\)

Therefore, 12 is the correct answer. 

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