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ISEE Middle Level Math : Numbers and Operations

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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 #26 : Whole And Part

Stephanie needs to drive 357.5 miles to meet her family at their vacation home. If she drives at miles per hour, how many hours will it take Stephanie to arrive?

Possible Answers:

6.5

5.5

7.5

Correct answer:

6.5

Explanation:

Divide: $357.5 \div 55= 6.5$

Answer: It will take Stephanie 6.5 hours to arrive.

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Example Question #27 : Whole And Part

Eighteen dollars must be shared among friends. How much money will each friend receive?

Possible Answers:

Correct answer:

Explanation:

Divide: $18\div 6=3$

Answer: Each friend will receive $\$3.00$ .

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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 #71 : Numbers And Operations

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

Possible Answers:

108

110

104

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 #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 #72 : Numbers And Operations

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 #73 : Numbers And Operations

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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All ISEE Middle Level Math Resources

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ISEE Middle Level Math : Numbers and Operations

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

All ISEE Middle Level Math Resources

Example Questions

Example Question #26 : Whole And Part

Example Question #27 : Whole And Part

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 #71 : Numbers And Operations

Example Question #35 : Whole And Part

Example Question #72 : Numbers And Operations

Example Question #73 : Numbers And Operations

All ISEE Middle Level Math Resources

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