SSAT Upper Level Math : Rational Numbers

Study concepts, example questions & explanations for SSAT Upper Level Math

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Example Questions

Example Question #1161 : Ssat Upper Level Quantitative (Math)

In a garden with  plants,  are tulips,  are daisies,  are roses, and the rest are bluebonnets. What is the ratio of bluebonnets to tulips in this garden?

Possible Answers:

Correct answer:

Explanation:

First, find the number of bluebonnets in the garden.

The ratio of bluebonnets to tulips can be expressed as a fraction:

The fraction can also be expressed as the ratio .

Example Question #42 : Rational Numbers

Express  as a ratio.

Possible Answers:

Correct answer:

Explanation:

In the colon form of a ratio, the fraction becomes numerator:denominator.

Example Question #2 : How To Express A Fraction As A Ratio

A smoothie is made with  cups of apple juice,  cup of mango juice,  cups of orange juice, and  cups of blueberry juice. What is the ratio of the amount of orange juice to the amount of blueberry juice?

Possible Answers:

Correct answer:

Explanation:

The ratio of orange juice to blueberry juice can be expressed as a fraction:

That fraction can also be expressed as .

Example Question #44 : Rational Numbers

Express  as a ratio in simplest terms.

Possible Answers:

Correct answer:

Explanation:

First, reduce the fraction.

Now, the simplified fraction can also be expressed as .

Example Question #101 : Number Concepts And Operations

A pan of cupcakes had  cupcakes on Monday. After one day,  cupcakes were eaten. What is the ratio of cupcakes eaten to cupcakes remaining?

Possible Answers:

Correct answer:

Explanation:

First, find the number of cupcakes that remain.

Now, set up the ratio of cupcakes eaten to cupcakes remaining as a fraction:

That fraction is equivalent to .

 

Example Question #41 : Rational Numbers

In a group of dolphins, there are  male dolphins for every  female dolphins. What is the ratio of female dolphins to male dolphins in this group?

Possible Answers:

Correct answer:

Explanation:

The ratio of female to male dolphins can be expressed as the following fraction:

That fraction can be expressed using the colon form of a ratio as .

 

Example Question #42 : Rational Numbers

In an animal shelter, there are  cats,  birds, and  dogs. What is the ratio of dogs to the total number of animals at the shelter?

Possible Answers:

Correct answer:

Explanation:

First, find the total number of animals at the shelter.

The ratio of dogs to the total number of animals can be expressed as the following fraction:

That fraction can also be expressed as .

Example Question #43 : Rational Numbers

There are  marbles in a bag. In the bag, there are  red marbles,  blue marbles, and the rest of the marbles are yellow. What is the ratio of yellow marbles to red marbles?

Possible Answers:

Correct answer:

Explanation:

First, find the number of yellow marbles in the bag.

The ratio of yellow marbles to red marbles can be expressed as a fraction:

That fraction can then be expressed as .

Example Question #44 : Rational Numbers

A video store lent out  videos during the fall semester.  of the videos were lost, and the rest were returned. What is the ratio of lost videos to returned videos?

Possible Answers:

Correct answer:

Explanation:

First, find the number of videos that were returned.

Now, the ratio of videos lost to videos returned can be expressed as the following fraction:

This fraction can then be expressed as .

Example Question #50 : Rational Numbers

Simplify.

Possible Answers:

Correct answer:

Explanation:

When multiplying fractions, find a way to reduce any of the fractions before multplying them out.

For example, since  is a multiple of , you would cancel out the  and that becomes a  and the  becomes a .

The same goes for  and . The  becomes  and the  goes to 

Overall, the fractions to multiply becomes

 . Answer should be 

 is not correct because it's not reduced.

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