Number Concepts and Operations

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SSAT Upper Level Quantitative › Number Concepts and Operations

Questions 1 - 10
1

Express as a ratio.

Explanation

Ratios take the form of numerator:deminator when in colon form.

2

Explanation

Keep in mind that the main fraction line just means "divide."

So then,

Now, divide this like any other fraction.

3

Convert to an improper fraction.

Explanation

To convert into an improper fraction, take the whole number and multiply that with the denominator .

Then, we add that to the numerator which is .

Then we take that sum and put it over th denominator which gives us an answer of:

.

4

What is the least common denominator for the fractions and ?

Explanation

To find the least common denominator, list out the multiples for each denominator then choose the lowest one that is in both sets.

5

What is the least common denominator for the fractions and ?

Explanation

To find the least common denominator, list out the multiples for each denominator then choose the lowest one that is in both sets.

6

Which of the following operations is equivalent to taking of a number?

Dividing the number by

Dividing the number by

Dividing the number by

Moving the decimal point one place to the left, then doubling the result

Moving the decimal point one place to the left, then tripling the result

Explanation

Let's just pick a number at random, for example .

of this number is , which is divided by .

We can also work by simplifying the fractional form of . A percent can be written as the number divided by .

We can simplify this fraction: .

Either way, we get the same answer.

7

Multiply these fractions:

Explanation

To multiply the fractions, simply multiply the numerators together and the denominators together.

Then simplify the fraction accordingly:

8

What is the least common denominator for the fractions and ?

Explanation

To find the least common denominator, list out the multiples for each denominator then choose the lowest one that is in both sets.

9

Put the fraction in simplest form.

Explanation

To simplify a fraction, divide both the numerator and the denominator by the same numbers until there is no number that can divide them both without resulting in a remainder.

10

What is the least common denominator for the fractions and ?

Explanation

To find the least common denominator, list out the multiples for each denominator then choose the lowest one that is in both sets.

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