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ISEE Lower Level Math : ISEE Lower Level (grades 5-6) Mathematics Achievement

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

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All ISEE Lower Level Math Resources

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Example Questions

Example Question #131 : Numbers And Operations

In a barrel there are apples. If there are red apples for every green apples, how many of the apples in the barrel are green?

Possible Answers:

Correct answer:

Explanation:

If there is a group of green apples for every group of red apples, then in every group of apples there will be green ones and red ones. ( 2+3=5 ). How many groups of apples are there in a barrel containing apples? divided by is , so there are groups of apples. In each group of apples, there is a smaller group of green apples, so there are groups of green apples each. $8\times2=16$ , so there are green apples in a barrel of apples.

Alternatively, one could say that since there are green apples in every group of apples, the fraction of green apples in the barrel is $\tiny \frac{2}{5}$ . To find $\tiny \frac{2}{5}$ of , multiply $\tiny \frac{2}{5}$ and together. $40\times\frac{2}{5}$ is , so there are green apples in the barrel.

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Example Question #132 : Numbers And Operations

Alphaline

Each of the points on the line above is the same distance from the next. If the distance between point A and point F is inches, what is the distance between point A and point C?

Possible Answers:

inches

Correct answer:

inches

Explanation:

There are five segments of line between points A and F. divided by is , so each line segment is inches long. There are line segments between points A and C. line segments $\times5$ inches each =10 inches, so inches is the correct answer.

Alternatively, since there are line segments between points A and F and line segments between points A and C, line AC is $\tiny \frac{2}{5}$ of the total line AF. To find $\tiny \frac{2}{5}$ of , multiply $\tiny \frac{2}{5}$ and . $\frac{2}{5} \times25=10$ , so the correct answer is inches.

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Example Question #131 : Isee Lower Level (Grades 5 6) Mathematics Achievement

There is a shipment of computer screens arriving today. If there are 1,400 screens, and 35% of them are 23 inches wide, what is the number of 23 inch-wide screens?

Possible Answers:

350

805

490

Correct answer:

490

Explanation:

There is a shipment of computer screens arriving today. If there are 1,400 screens, and 35% of them are 23 inches wide, what is the number of 23 inch-wide screens?

We need to find the portion of screens from the whole.

First, we need to convert our percent to a decimal:

$35\%\gg .35$

Next, multiply the total number by our new-found decimal

1,400*.35=490

So our answer is 490

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Example Question #134 : Numbers And Operations

What is $\frac{1}{3}$ of ?

Possible Answers:

$\frac{1}{3}$

Correct answer:

Explanation:

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

$\frac{1}{3} \cdot 39$

Therefore, $\frac{1}{3}$ of is .

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Example Question #135 : Numbers And Operations

You and a friend buy a pizza. The pizza has 8 slices. You each eat $\frac{1}{2}$ of the pizza. How many slices do you eat?

Possible Answers:

Correct answer:

Explanation:

To solve this problem, we will find the fraction of the whole number. We know you ate $\frac{1}{2}$ or half of the pizza. We know the pizza has 8 slices. So, to find the fraction of the whole number, we will multiply the fraction by the whole number. So,

$\frac{1}{2} \cdot 8$

$\frac{1}{2} \cdot \frac{8}{1}$

$\frac{1 \cdot 8}{2 \cdot 1}$

$\frac{8}{2}$

Therefore, you ate slices of pizza.

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Example Question #134 : Numbers And Operations

Find $\frac{1}{7}$ of .

Possible Answers:

Correct answer:

Explanation:

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

$\frac{1}{7}$ of

$\frac{1}{7} \cdot 84$

$\frac{1}{7} \cdot \frac{84}{1}$

$\frac{1 \cdot 84}{7 \cdot 1}$

$\frac{84}{7}$

Therefore, $\frac{1}{7}$ of is .

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Example Question #136 : Numbers And Operations

Find $\frac{2}{5}$ of .

Possible Answers:

Correct answer:

Explanation:

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

So,

$\frac{2}{5}$ of

will be written as

$\frac{2}{5} \cdot 15$

Now, we can solve.

$\frac{2}{5} \cdot 15$

$\frac{2}{5} \cdot \frac{15}{1}$

$\frac{2 \cdot 15}{5 \cdot 1}$

$\frac{30}{5}$

Therefore, $\frac{2}{5}$ of is .

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Example Question #136 : Numbers And Operations

What is a quarter of 36?

Possible Answers:

Correct answer:

Explanation:

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

In this case, a quarter is equal to $\frac{1}{4}$ . So, we can write it as

$\frac{1}{4}$ of

which can be re-written as

$\frac{1}{4} \cdot 36$

Now, we can solve.

$\frac{1}{4} \cdot 36$

$\frac{1}{4} \cdot \frac{36}{1}$

$\frac{1 \cdot 36}{4 \cdot 1}$

$\frac{36}{4}$

Therefore, a quarter (or $\frac{1}{4}$ ) of is .

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Example Question #137 : Numbers And Operations

What is $\frac{1}{7}$ of ?

Possible Answers:

$\frac{1}{7}$

Correct answer:

Explanation:

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

So,

$\frac{1}{7}$ of

can be written as

$\frac{1}{7} \cdot 56$

Now, we can solve.

$\frac{1}{7} \cdot \frac{56}{1}$

$\frac{1 \cdot 56}{7 \cdot 1}$

$\frac{56}{7}$

Therefore, $\frac{1}{7}$ of is .

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Example Question #138 : Numbers And Operations

What is $\frac{1}{3}$ of ?

Possible Answers:

Correct answer:

Explanation:

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

$\frac{1}{3}$ of

can be written as

$\frac{1}{3} \cdot 27$

Now, we can solve.

$\frac{1}{3} \cdot \frac{27}{1}$

$\frac{1 \cdot 27}{3 \cdot 1}$

$\frac{27}{3}$

Therefore, $\frac{1}{3}$ of is .

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ISEE Lower Level Math : ISEE Lower Level (grades 5-6) Mathematics Achievement

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

All ISEE Lower Level Math Resources

Example Questions

Example Question #131 : Numbers And Operations

Example Question #132 : Numbers And Operations

Example Question #131 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Example Question #134 : Numbers And Operations

Example Question #135 : Numbers And Operations

Example Question #134 : Numbers And Operations

Example Question #136 : Numbers And Operations

Example Question #136 : Numbers And Operations

Example Question #137 : Numbers And Operations

Example Question #138 : Numbers And Operations

All ISEE Lower Level Math Resources

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