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ISEE Middle Level Math : Whole and Part

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 bought pieces of fruit including apples, oranges, and pineapples. How many pineapples did you buy?

Possible Answers:

Correct answer:

Explanation:

You know that you bought fruit and you have three kinds; apples, oranges, and pineapples.

If are apples and are oranges, the rest would be pineapples.

So you must subtract those values from the total and that will be the number of pineapples.

25-12-3=10 so you bought pineapples.

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Example Question #32 : 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:

$\$5.50$

$\$12.50$

$\$6.25$

$\$5$

$\$10.00$

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 #33 : Whole And Part

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 #31 : 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 #34 : Whole And Part

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

Possible Answers:

108

104

106

110

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 #35 : Whole And Part

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 #36 : Whole And Part

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 #37 : Whole And Part

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 #38 : Whole And Part

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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All ISEE Middle Level Math Resources

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ISEE Middle Level Math : Whole and Part

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 #32 : Whole And Part

Example Question #33 : Whole And Part

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

Example Question #34 : Whole And Part

Example Question #35 : Whole And Part

Example Question #36 : Whole And Part

Example Question #37 : Whole And Part

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

Example Question #38 : Whole And Part

All ISEE Middle Level Math Resources

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