ISEE Middle Level (grades 7-8) Mathematics Achievement

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ISEE Middle Level Quantitative Reasoning › ISEE Middle Level (grades 7-8) Mathematics Achievement

Questions 1 - 10
1

Find the mode of this set of numbers:

Explanation

The mode is the number that appears most frequently in the data set.

Answer:

2

Solve:

Explanation

First, find the square root:

Then, solve:

Answer:

3

One Mexican peso is equal to about 7.4 cents. To the nearest whole number, for how many pesos can a tourist to Mexico expect to exchange \$500?

Explanation

One peso is equivalent to 7.4 cents, or \$0.074, so divide \$500 dollars by this conversion factor. \$500 is equivalent to

pesos.

4

Find the range in this set of numbers:

Explanation

First, order the numbers from least to greatest:

Then, subtract the smallest number from the largest:

Answer: The range is 11.

5

Rectangle

Give the area of the above rectangle in square feet.

Explanation

Since 1 yard = 3 feet, multiply each dimension by 3 to convert from yards to feet:

Use the area formula, substituting :

square feet

6

Katie collects trading cards. 15% of her collection are rare cards. If there are a total of 500 cards in Katie's collection, how many of them are rare?

Explanation

To begin, you can set up a proportion:

When trying to find a percent of a number, convert the percent into a decimal. To do this, divide the percent by 100.

You then multiply 500 by 0.15. Since 500 represents 100% of Katie's cards, multiplying by 0.15 will give you how many cards equal 15% of the total.

The result is your answer.

7

Evaluate .

Explanation

.

8

Which is the greater quantity?

(a)

(b)

(b) is greater

(a) is greater

(a) and (b) are equal

It is impossible to tell from the information given

Explanation

Divide 3 by 13:

9

Add:

Explanation

Add the numerators and leave the denominators the same:

Answer:

10

What is the area of the figure below?

6

Explanation

To find the area of the figure above, we need to slip the figure into two rectangles.

6.5

Using our area formula, , we can solve for the area of both of our rectangles

To find our final answer, we need to add the areas together.

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