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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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All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #31 : Whole And Part

You and you friends make $\$25$ doing some yard work. If you have four friends and you need to split the revenue evenly, how much do you make?

Possible Answers:

$\$5$

$\$6.25$

$\$12.50$

$\$10.00$

$\$5.50$

Correct answer:

$\$5$

Explanation:

Since there are five of people to split it (you and four friends) you must divide the $\$25$ by which is,

$\frac{\$25}{5}=\frac{5\cdot \$5}{5}=\$5$ .

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Example Question #31 : How To Find The Part From The Whole

Find $\frac{2}{3}$ of .

Possible Answers:

Correct answer:

Explanation:

To find a fraction of a whole number, we will multiply the fraction by the whole number. So,

$\frac{2}{3} \cdot 60$

$\frac{120}{3}$

Therefore, $\frac{2}{3}$ of is .

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Example Question #32 : How To Find The Part From The Whole

What is $\frac{1}{6}$ of ?

Possible Answers:

Correct answer:

Explanation:

To find a fraction of a whole number, we will multiply the fraction by the whole number. We get

$\frac{1}{6} \cdot 72$

Now, we can solve.

$\frac{1}{6} \cdot \frac{72}{1}$

$\frac{1 \cdot 72}{6 \cdot 1}$

$\frac{72}{6}$

We can simplify this, and we get

Therefore, $\frac{1}{6}$ of is .

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Example Question #961 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Which of the following numbers yields a remainder of 7 when divided by 9?

Possible Answers:

104

110

108

106

Correct answer:

106

Explanation:

We can test each of the numbers in tun by dividing each by 9:

$104 \div 9 = 11 \textrm{ R }5$

$106 \div 9 = 11 \textrm{ R }7$

$108 \div 9 = 12\textrm{ R }0$

$110 \div 9 = 12 \textrm{ R }2$

106 is the correct choice.

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Example Question #32 : How To Find The Part From The Whole

Find $\frac{1}{3}$ of .

Possible Answers:

$\frac{1}{3}$

Correct answer:

Explanation:

To find a fraction of a whole number, we will multiply the fraction by the whole number. So,

$\frac{1}{3}$ of

can be written as

$\frac{1}{3} \cdot 45$

Now, we can multiply.

$\frac{1}{3} \cdot \frac{45}{1}$

$\frac{1 \cdot 45}{3 \cdot1}$

$\frac{45}{3}$

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Example Question #962 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Add in modulo 13 arithmetic:

9+8+7+6

Possible Answers:

Correct answer:

Explanation:

To add numbers in modulo 13 arithmetic, we can add, divide by 13 and note the remainder:

9+8+7+6 = 30

$30 \div 13 =2 \textrm{ R }4$

The remainder is 4, so

$9+8+7+6 \equiv 4$ modulo 13.

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Example Question #963 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Subtract in modulo 13 arithmetic:

5 - 11

Possible Answers:

Correct answer:

Explanation:

To subtract two numbers in modulo 13 arithmetic, we can simply subtract first:

5 - 11 = 5+ (-11) = - (11-5) = -6

Since the number is negative, add 13:

-6+ 13 = + (13-6) = 7

$5 - 11 \equiv 7$ in modulo 13 arithmetic.

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Example Question #31 : How To Find The Part From The Whole

Find $\frac{6}{7}$ of .

Possible Answers:

Correct answer:

Explanation:

To find a fraction of a whole number, we will multiply the fraction by the whole number.

So,

$\frac{6}{7}$ of

can be written as

$\frac{6}{7} \cdot 49$

Now, we can write so it is in fraction form. We get

$\frac{6}{7} \cdot \frac{49}{1}$

Now, before we multiply, we can make things easier and simplify. We can simplify the and . The number can go into both numbers. We get

$\frac{6}{1} \cdot \frac{7}{1}$

Now, we can multiply straight across.

$\frac{6 \cdot 7}{1 \cdot 1}$

$\frac{42}{1}$

Therefore, $\frac{6}{7}$ of is .

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Example Question #964 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Multiply in modulo 13 arithmetic:

$7 \times 9$

Possible Answers:

Correct answer:

Explanation:

To multiply two numbers in modulo 13 arithmetic, find the product, divide by 13, and note the remainder.

$7 \times 9 =63$

$63 \div 13 = 4 \textrm{ R }11$

The remainder is 11, so

$7 \times 9 \equiv 11$ modulo 13.

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Example Question #41 : How To Find The Part From The Whole

What is $\frac{1}{6}$ of ?

Possible Answers:

Correct answer:

Explanation:

To find a fraction of a whole number, we will multiply the fraction by the whole number. So,

$\frac{1}{6}$ of

we can write it as

$\frac{1}{6} \cdot 78$

To multiply, we will write in fraction form. We get

$\frac{1}{6} \cdot \frac{78}{1}$

Now, we multiply straight across.

$\frac{1 \cdot 78}{6 \cdot 1}$

$\frac{78}{6}$

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All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

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

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

All ISEE Middle Level Math Resources

Example Questions

Example Question #31 : Whole And Part

Example Question #31 : How To Find The Part From The Whole

Example Question #32 : How To Find The Part From The Whole

Example Question #961 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #32 : How To Find The Part From The Whole

Example Question #962 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #963 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #31 : How To Find The Part From The Whole

Example Question #964 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #41 : How To Find The Part From The Whole

All ISEE Middle Level Math Resources

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