SSAT Middle Level Math : SSAT Middle Level Quantitative (Math)

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

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Example Questions

Example Question #585 : Number & Operations: €”Fractions

Todd ordered a pizza and ate \(\displaystyle \frac{4}{10}\) of the pizza. Chris ate \(\displaystyle \frac{5}{10}\) of the pizza. How much more did Chris eat than Todd? 

 

Possible Answers:

\(\displaystyle \frac{4}{10}\)

\(\displaystyle \frac{2}{10}\)

\(\displaystyle \frac{1}{10}\)

\(\displaystyle \frac{3}{10}\)

\(\displaystyle \frac{5}{10}\)

Correct answer:

\(\displaystyle \frac{1}{10}\)

Explanation:

The phrase, "how much more" tells as that we want to find the difference in how much they ate. 

\(\displaystyle \frac{5}{10}-\frac{4}{10}=\frac{1}{10}\)

1 10

Example Question #586 : Number & Operations: €”Fractions

Olivia ordered a pizza and ate \(\displaystyle \frac{1}{5}\) of the pizza. Jeff ate \(\displaystyle \frac{4}{5}\) of the pizza. How much more did Jeff eat than Olivia? 

 

Possible Answers:

\(\displaystyle \frac{2}{5}\)

\(\displaystyle \frac{1}{5}\)

\(\displaystyle \frac{3}{5}\)

\(\displaystyle \frac{5}{5}\)

\(\displaystyle \frac{4}{5}\)

Correct answer:

\(\displaystyle \frac{3}{5}\)

Explanation:

The phrase, "how much more" tells as that we want to find the difference in how much they ate. 

\(\displaystyle \frac{4}{5}-\frac{1}{5}=\frac{3}{5}\)

3 5

Example Question #587 : Number & Operations: €”Fractions

Melissa ordered a pizza and ate \(\displaystyle \frac{2}{5}\) of the pizza. Charlie ate \(\displaystyle \frac{3}{5}\) of the pizza. How much more did Charlie eat than Melissa? 

 

Possible Answers:

\(\displaystyle \frac{5}{5}\)

\(\displaystyle \frac{4}{5}\)

\(\displaystyle \frac{3}{5}\)

\(\displaystyle \frac{2}{5}\)

\(\displaystyle \frac{1}{5}\)

Correct answer:

\(\displaystyle \frac{1}{5}\)

Explanation:

The phrase, "how much more" tells as that we want to find the difference in how much they ate. 

\(\displaystyle \frac{3}{5}-\frac{2}{5}=\frac{1}{5}\)

1 5

Example Question #588 : Number & Operations: €”Fractions

A baker used \(\displaystyle \frac{3}{7}\) of a package of sprinkles and \(\displaystyle \frac{5}{7}\) of a package of icing when decorating a cake. How much more icing than sprinkles did the baker use?

 

Possible Answers:

\(\displaystyle \frac{3}{7}\)

\(\displaystyle \frac{1}{7}\)

\(\displaystyle \frac{2}{7}\)

\(\displaystyle \frac{5}{7}\)

\(\displaystyle \frac{4}{7}\)

Correct answer:

\(\displaystyle \frac{2}{7}\)

Explanation:

The phrase, "how much more" tells as that we want to find the difference, so we subtract. 

\(\displaystyle \frac{5}{7}-\frac{3}{7}=\frac{2}{7}\)

2 7

Example Question #589 : Number & Operations: €”Fractions

A baker used \(\displaystyle \frac{2}{7}\) of a package of sprinkles and \(\displaystyle \frac{3}{7}\) of a package of icing when decorating a cake. How much more icing than sprinkles did the baker use?

 

Possible Answers:

\(\displaystyle \frac{5}{7}\)

\(\displaystyle \frac{4}{7}\)

\(\displaystyle \frac{1}{}7\)

\(\displaystyle \frac{3}{7}\)

\(\displaystyle \frac{2}{7}\)

Correct answer:

\(\displaystyle \frac{1}{}7\)

Explanation:

The phrase, "how much more" tells as that we want to find the difference, so we subtract. 

\(\displaystyle \frac{3}{7}-\frac{2}{7}=\frac{1}{7}\)

1 7

Example Question #590 : Number & Operations: €”Fractions

A baker used \(\displaystyle \frac{1}{3}\) of a package of sprinkles and \(\displaystyle \frac{2}{3}\) of a package of icing when decorating a cake. How much more icing than sprinkles did the baker use?

 

Possible Answers:

\(\displaystyle \frac{5}{3}\)

\(\displaystyle \frac{1}{3}\)

\(\displaystyle \frac{4}{3}\)

\(\displaystyle \frac{3}{3}\)

\(\displaystyle \frac{2}{3}\)

Correct answer:

\(\displaystyle \frac{1}{3}\)

Explanation:

The phrase, "how much more" tells as that we want to find the difference, so we subtract. 

\(\displaystyle \frac{2}{3}-\frac{1}{3}=\frac{1}{3}\)

1 3

Example Question #591 : Number & Operations: €”Fractions

A baker used \(\displaystyle \frac{3}{7}\) of a package of sprinkles and \(\displaystyle \frac{6}{7}\) of a package of icing when decorating a cake. How much more icing than sprinkles did the baker use?

 

Possible Answers:

\(\displaystyle \frac{4}{7}\)

\(\displaystyle \frac{1}{7}\)

\(\displaystyle \frac{2}{7}\)

\(\displaystyle \frac{3}{7}\)

\(\displaystyle \frac{5}{7}\)

Correct answer:

\(\displaystyle \frac{3}{7}\)

Explanation:

The phrase, "how much more" tells as that we want to find the difference, so we subtract. 

\(\displaystyle \frac{6}{7}-\frac{3}{7}=\frac{3}{7}\)

3 7

Example Question #782 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

A baker used \(\displaystyle \frac{1}{8}\) of a package of sprinkles and \(\displaystyle \frac{2}{8}\) of a package of icing when decorating a cake. How much more icing than sprinkles did the baker use?

Possible Answers:

\(\displaystyle \frac{3}{8}\)

\(\displaystyle \frac{4}{8}\)

\(\displaystyle \frac{5}{8}\)

\(\displaystyle \frac{2}{8}\)

\(\displaystyle \frac{1}{8}\)

Correct answer:

\(\displaystyle \frac{1}{8}\)

Explanation:

The phrase, "how much more" tells as that we want to find the difference, so we subtract. 

\(\displaystyle \frac{2}{8}-\frac{1}{8}=\frac{1}{8}\)

1 8

Example Question #783 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

A baker used \(\displaystyle \frac{2}{8}\) of a package of sprinkles and \(\displaystyle \frac{5}{8}\) of a package of icing when decorating a cake. How much more icing than sprinkles did the baker use?

 

Possible Answers:

\(\displaystyle \frac{4}{8}\)

\(\displaystyle \frac{5}{8}\)

\(\displaystyle \frac{2}{8}\)

\(\displaystyle \frac{3}{8}\)

\(\displaystyle \frac{1}{8}\)

Correct answer:

\(\displaystyle \frac{3}{8}\)

Explanation:

The phrase, "how much more" tells as that we want to find the difference, so we subtract. 

\(\displaystyle \frac{5}{8}-\frac{2}{8}=\frac{3}{8}\)

3 8

Example Question #784 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

A baker used \(\displaystyle \frac{3}{8}\) of a package of sprinkles and \(\displaystyle \frac{7}{8}\) of a package of icing when decorating a cake. How much more icing than sprinkles did the baker use?

Possible Answers:

\(\displaystyle \frac{6}{8}\)

\(\displaystyle \frac{5}{8}\)

\(\displaystyle \frac{7}{8}\)

\(\displaystyle \frac{3}{8}\)

\(\displaystyle \frac{4}{8}\)

Correct answer:

\(\displaystyle \frac{4}{8}\)

Explanation:

The phrase, "how much more" tells as that we want to find the difference, so we subtract. 

\(\displaystyle \frac{7}{8}-\frac{3}{8}=\frac{4}{8}\)

4 8

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