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ISEE Lower Level Math : Numbers and Operations

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

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All ISEE Lower Level Math Resources

10 Diagnostic Tests 170 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #3 : How To Multiply

Evaluate: $13 \times (-7)$

Possible Answers:

Correct answer:

Explanation:

To multiply two numbers of unlike sign, multiply their absolute values, then affix a negative symbol in front:

$13 \times (-7) = -(13 \times 7) = -91$

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Example Question #4 : How To Multiply

Evaluate: $-4 \times (-17)$

Possible Answers:

Correct answer:

Explanation:

To multply two negative numbers, just multiply their absolute values; the product will be positive:

$-4 \times (-17) = +(4 \times 17) = 68$

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Example Question #8 : How To Multiply

Evaluate 5x +7 for x = 8

Possible Answers:

Correct answer:

Explanation:

Substitute 8 for .

$5x +7 = 5\cdot 8 +7$

By order of operations, multiply, then add.

$5\cdot 8 +7 = 40 + 7 = 47$

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Example Question #6 : Operations

Find the product.

$-27\times -12$

Possible Answers:

329

324

2754

Correct answer:

324

Explanation:

When multiplying two negative numbers, the product will be positive. The correct answer is 324.

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Example Question #7 : Operations

Which story best fits the equation $8\times 5=40$ ?

Possible Answers:

I have 8 boxes of candy bars, and each box has 5 candy bars. How many bars do I have in total?

I have 40 candy bars. If I eat 8, how many are left?

I have 8 candy bars, and my friend has 5. How many do we have together?

I want to share 40 candy bars with 10 friends. How many do they each get?

Correct answer:

I have 8 boxes of candy bars, and each box has 5 candy bars. How many bars do I have in total?

Explanation:

The equation has multiplication, so the story must have multiplication as well. Ignore the stories which just add or subtract candy bars.

The right answer involves boxes of candy bars:

$8 \textup{ boxes of candy bars} \times \textup{ 5 candy bars}=40 \textup{ total candy bars}$

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Example Question #11 : How To Multiply

What expression is equivalent to:

$3\times (2+6)$

Possible Answers:

6+6

$3\times 8$

3+8

$5\times 6$

Correct answer:

$3\times 8$

Explanation:

First, add the numbers in parentheses.

(2+6)=(8)

Now put the equation together.

$3\times (8)=3\times 8$

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Example Question #12 : How To Multiply

What expression is equal to 24?

Possible Answers:

$(6\times 3)+4+2$

$6\times (3+4)+2$

$6+3+(4\times 2)$

$6+(3\times 4)+2$

Correct answer:

$(6\times 3)+4+2$

Explanation:

Remember the order of operations with the help of the acronym PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

Only one of the expressions in the answer choices which will give us the quantity we are looking for.

$(6\times 3)+4+2$

(18)+4+2=24

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Example Question #13 : How To Multiply

If $2\times(\bigstar +3)=22$ , what number does $\bigstar$ stand for?

Possible Answers:

Correct answer:

Explanation:

There are two ways to solve this question: one is to try each answer in the place of $\bigstar$ , and another is to solve it with algebra.

To solve algebraically, first, divide both sides by 2:

$\frac{2\times(\bigstar +3)}{2}=\frac{22}{2}$

$\bigstar +3=11$

Subtract 3 from both sides:

$\bigstar +3-3=11-3$

$\bigstar=8$

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Example Question #14 : How To Multiply

$63 \div 7 \times 6 \times 12= 36 \times __$ __ ?

Possible Answers:

Correct answer:

Explanation:

There is a quick shortcut that you may notice in this problem (and problems like it) that will keep you from having to doing a lot of large computations. As you look at the left side of the equation, notice that you can factor out a from the , which gives you a $\left ( 6\times 6 \right )$ on the left:

$63\div 7\times 6\times 12= 36 \times __$ __ ?

$63 \div 7 \times (6\times 6) \times 2= 36\times$ __?

Now we can divide each side by , which leaves us with:

$63\div 7\times 2$ , which equals

$9\times 2$ , which equals 18.

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Example Question #15 : How To Multiply

Which of the following is a valid approximation of the problem:

$4.79\times 7.12$

Possible Answers:

$4\times 7=28$

$5\times 8=40$

$4\times8=32$

$5\times 7=35$

Correct answer:

$5\times 7=35$

Explanation:

Round each of the numbers:

$4.79\approx 5$

$7.12\approx7$

Multiply:

$5\times7=35$

35 is a valid approximation for the problem. The precise answer is:
$4.79\times7.12=34.1048$

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ISEE Lower Level Math : Numbers and Operations

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

All ISEE Lower Level Math Resources

Example Questions

Example Question #3 : How To Multiply

Example Question #4 : How To Multiply

Example Question #8 : How To Multiply

Example Question #6 : Operations

Example Question #7 : Operations

Example Question #11 : How To Multiply

Example Question #12 : How To Multiply

Example Question #13 : How To Multiply

Example Question #14 : How To Multiply

Example Question #15 : How To Multiply

All ISEE Lower Level Math Resources

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