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ISEE Lower Level Math : Operations

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Example Questions

Example Question #21 : Operations

Which expression is equal to 24?

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

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

$\displaystyle (15)+12-3$

Then everything else:

27-3=24 $\displaystyle 27-3=24$

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Example Question #21 : Operations

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

Possible Answers:

$\small 150$ $\displaystyle \small 150$

$\small 72$ $\displaystyle \small 72$

$\small 13$ $\displaystyle \small 13$

$\small 225$ $\displaystyle \small 225$

Correct answer:

$\small 225$ $\displaystyle \small 225$

Explanation:

The term "product" indicates multiplication.

$\small 3\times75=225$ $\displaystyle \small 3\times75=225$

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Example Question #23 : Operations

Which expression is equal to $\small 39$ $\displaystyle \small 39$?

Possible Answers:

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

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

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

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

Correct answer:

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

Explanation:

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

$\small 2+6=8$ $\displaystyle \small 2+6=8$.

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

$\small 5\times8=40$ $\displaystyle \small 5\times8=40$.

Subtraction comes last:

$\small 40-1=39$ $\displaystyle \small 40-1=39$.

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Example Question #22 : Operations

What is the product of $\displaystyle 13$ and $\displaystyle 4$?

Possible Answers:

3.25 $\displaystyle 3.25$

$\displaystyle 48$

$\displaystyle 17$

$\displaystyle 52$

Correct answer:

$\displaystyle 52$

Explanation:

A product is the result of a multiplication problem.

$13\times4=52$ $\displaystyle 13\times4=52$.

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

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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.

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Example Question #25 : Operations

Find the product. Round to the nearest tenths place.

$5.73 \times 93.41 =$ $\displaystyle 5.73 \times 93.41 =$

Possible Answers:

535.2 $\displaystyle 535.2$

16.3 $\displaystyle 16.3$

534.3 $\displaystyle 534.3$

535.3 $\displaystyle 535.3$

545.2 $\displaystyle 545.2$

Correct answer:

535.2 $\displaystyle 535.2$

Explanation:

Multiply $5.73 \times 93.41$ $\displaystyle 5.73 \times 93.41$ 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 535.2 $\displaystyle 535.2$.

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Example Question #24 : Operations

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

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.

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Example Question #25 : Operations

How many millimeters are in 6 meters?

Possible Answers:

600 $\displaystyle 600$

600,000 $\displaystyle 600,000$

$\displaystyle 6$

6000 $\displaystyle 6000$

$\displaystyle 60$

Correct answer:

6000 $\displaystyle 6000$

Explanation:

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

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Example Question #27 : How To Multiply

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

Possible Answers:

$52\ \text{inches}$ $\displaystyle 52\ \text{inches}$

$48\ \text{inches}$ $\displaystyle 48\ \text{inches}$

$60\ \text{inches}$ $\displaystyle 60\ \text{inches}$

$28\ \text{inches}$ $\displaystyle 28\ \text{inches}$

$54\ \text{inches}$ $\displaystyle 54\ \text{inches}$

Correct answer:

$54\ \text{inches}$ $\displaystyle 54\ \text{inches}$

Explanation:

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

$4.5\times12=54$ $\displaystyle 4.5\times12=54$

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

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

$\displaystyle (48)+(6)$

$\displaystyle 54$

$\displaystyle 54$ is the correct answer.

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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.

$x\times x=x^2=144$ $\displaystyle x\times x=x^2=144$

$\sqrt{144}=x$ $\displaystyle \sqrt{144}=x$

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

$12\times12=12^2=144$ $\displaystyle 12\times12=12^2=144$

$\sqrt{144}=12$ $\displaystyle \sqrt{144}=12$

Therefore, 12 is the correct answer.

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All ISEE Lower Level Math Resources

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ISEE Lower Level Math : Operations

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

All ISEE Lower Level Math Resources

Example Questions

Example Question #21 : Operations

Example Question #21 : Operations

Example Question #23 : Operations

Example Question #22 : Operations

Example Question #23 : Operations

Example Question #25 : Operations

Example Question #24 : Operations

Example Question #25 : Operations

Example Question #27 : How To Multiply

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

All ISEE Lower Level Math Resources

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