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ISEE Lower Level Math : 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

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Example Question #11 : How To Multiply

What expression is equivalent to:

$3\times (2+6)$

Possible Answers:

3+8

$5\times 6$

$3\times 8$

6+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:

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

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

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

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

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 #174 : Numbers And Operations

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

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 #175 : Numbers And Operations

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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Example Question #11 : How To Multiply

Evaluate:

$\left ( -8 \right ) ^{3}$

Possible Answers:

512

The expression is undefined.

Correct answer:

Explanation:

A negative number taken to an odd-numbered power is negative, so:

$\left ( -8 \right ) ^{3} = - (8^{3}) = - \left ( 8\times 8\times 8\right ) = - \left ( 64\times 8\right ) = - 512$

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Example Question #11 : How To Multiply

Evaluate: $-7 + (-5)^{2}$

Possible Answers:

144

Correct answer:

Explanation:

By order of operations, exponentiate first, then add:

$-7 + (-5)^{2}$

$=-7 + (-5) \times (-5)$

$=-7 + (5 \times 5)$

=-7 +25

=25-7

=18

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Example Question #183 : Numbers And Operations

Solve for :

$\frac{3}{5} t = \frac{7}{10}$

Possible Answers:

$t = \frac{5}{6}$

$t = \frac{5}{2}$

$t = \frac{7}{6}$

$t = \frac{7}{10}$

$t = \frac{21}{50}$

Correct answer:

$t = \frac{7}{6}$

Explanation:

$\frac{3}{5} t = \frac{7}{10}$

$\frac{3}{5} t \cdot \frac{5}{3} = \frac{7}{10}\cdot \frac{5}{3}$

$t = \frac{7}{2}\cdot \frac{1}{3} = \frac{7}{6}$

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Example Question #11 : How To Multiply

Mulitply:

$-3.51 \times (-3.7)$

Possible Answers:

-7.21

1.2987

-1.2987

-12.987

12.987

Correct answer:

12.987

Explanation:

$-3.51 \times (-3.7)$

$+ \left (3.51 \times 3.7 \right ) = 3.51 \times 3.7$

We ignore the decimals for the time being, multiplying:

$351 \times 37 = 12987$

Since, between them, the two original factors have a total of three digits to the right of their decimal points, we place the decimal point in the product so that there are three digits to the right. This yields:

12.987

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Example Question #185 : Numbers And Operations

Multiply: $1.81 \times 1.4$

Possible Answers:

2.521

2.534

0.221

2.21

0.2534

Correct answer:

2.534

Explanation:

We ignore the decimals for the time being, multiplying:

$181 \times 14 = 2534$

2.534

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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 #11 : How To Multiply

Example Question #12 : How To Multiply

Example Question #13 : How To Multiply

Example Question #174 : Numbers And Operations

Example Question #175 : Numbers And Operations

Example Question #11 : How To Multiply

Example Question #11 : How To Multiply

Example Question #183 : Numbers And Operations

Example Question #11 : How To Multiply

Example Question #185 : Numbers And Operations

All ISEE Lower Level Math Resources

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