Fractions

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SSAT Middle Level Quantitative › Fractions

Questions 1 - 10
1

Hydraulic fracturing is a process used by gas companies to rupture and collects pockets of gas trapped within pockets of shale rock. A particular shale fracking site is in length and occupies an area of . How wide is this particular site?

Explanation

In order to solve this question, we need to first recall how to find the area of a rectangle.

Substitute in the given values in the equation and solve for .

Divide both sides by

Dividing by a fraction is the same as multiplying by its inverse or reciprocal.

Find the reciprocal of

Simplify and rewrite.

Multiply and solve.

Reduce.

The width of the fracking site is

2

Christine has of gummy candies that she wants to divide evenly into bags. How much will each bag of gummy candies weigh?

Explanation

We are splitting into equal groups, so we are dividing by .

To solve we multiply by the reciprocal.

1 14

3

Explanation

means the same thing as adding two times.

On our number line, we can make jumps of

2 3 number line

4

Which of the following statements demonstrates the associative property of addition?

None of the examples in the other responses demonstrates the associative property of addition.

Explanation

The associative property of addition states that to add three numbers, any two can be added first, followed by adding the sum to the third. Of the statements given, only

demonstrates this property, so it is the correct choice.

5

Explanation

means the same thing as adding nine times.

On our number line, we can make jumps of

9 7 number line

6

Melissa has of gummy candies that she wants to divide evenly into bags. How much will each bag of gummy candies weigh?

Explanation

We are splitting into equal groups, so we are dividing by .

To solve we multiply by the reciprocal.

1 6

7

Melissa has of gummy candies that she wants to divide evenly into bags. How much will each bag of gummy candies weigh?

Explanation

We are splitting into equal groups, so we are dividing by .

To solve we multiply by the reciprocal.

1 16

8

Multiply:

Explanation

First, multiply the numbers, ignoring the decimal points:

Since the two factors in the original product have three digits to the right of the decimal points between them, position the decimal point in the product such that three digits are at its right. The result, therefore, is

9

Explanation

When we multiply a fraction by a whole number we need to make the whole number into a fraction by putting our whole number over .

10

How many of the following four numbers are elements of the set ?

(A)

(B)

(C)

(D)

Two

Three

Four

None

One

Explanation

and , so we are looking for numbers that fall between 0.4 and 0.6 exclusive. Of the four choices, 0.44 and 0.55 fall between these numbers. The correct response is two.

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