ISEE Middle Level Quantitative : Numbers and Operations

Study concepts, example questions & explanations for ISEE Middle Level Quantitative

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Example Questions

Example Question #281 : Build Fractions From Unit 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{4}{7}

\displaystyle \frac{1}{7}

\displaystyle \frac{2}{7}

\displaystyle \frac{5}{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 #282 : Build Fractions From Unit 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{1}{}7

\displaystyle \frac{4}{7}

\displaystyle \frac{3}{7}

\displaystyle \frac{2}{7}

\displaystyle \frac{5}{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 #291 : Build Fractions From Unit 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{2}{3}

\displaystyle \frac{4}{3}

\displaystyle \frac{1}{3}

\displaystyle \frac{3}{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 #31 : How To Subtract 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{2}{7}

\displaystyle \frac{3}{7}

\displaystyle \frac{5}{7}

\displaystyle \frac{4}{7}

\displaystyle \frac{1}{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 #592 : Number & Operations: €”Fractions

A baker used \displaystyle \frac{1}{7} of a pound of sprinkles and \displaystyle \frac{6}{7} of a pound of icing when decorating a cake. How much more icing than sprinkles did the baker use, in pounds?

Possible Answers:

\displaystyle \frac{4}{7}

\displaystyle \frac{5}{7}

\displaystyle \frac{2}{7}

\displaystyle \frac{3}{7}

\displaystyle \frac{6}{}7

Correct answer:

\displaystyle \frac{5}{7}

Explanation:

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

\displaystyle \frac{6}{7}-\frac{1}{7}=\frac{5}{7}

5 7

Example Question #593 : Number & Operations: €”Fractions

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{5}{8}

\displaystyle \frac{4}{8}

\displaystyle \frac{2}{8}

\displaystyle \frac{1}{8}

\displaystyle \frac{3}{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 #594 : Number & Operations: €”Fractions

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{3}{8}

\displaystyle \frac{2}{8}

\displaystyle \frac{4}{8}

\displaystyle \frac{5}{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 #595 : Number & Operations: €”Fractions

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{5}{8}

\displaystyle \frac{6}{8}

\displaystyle \frac{4}{8}

\displaystyle \frac{7}{8}

\displaystyle \frac{3}{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

Example Question #596 : Number & Operations: €”Fractions

A baker used \displaystyle \frac{2}{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{4}{8}

\displaystyle \frac{2}{8}

\displaystyle \frac{6}{8}

\displaystyle \frac{5}{8}

\displaystyle \frac{3}{8}

Correct answer:

\displaystyle \frac{5}{8}

Explanation:

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

\displaystyle \frac{7}{8}-\frac{2}{8}=\frac{5}{8}

5 8

Example Question #597 : Number & Operations: €”Fractions

A baker used \displaystyle \frac{1}{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{3}{8}

\displaystyle \frac{4}{8}

\displaystyle \frac{2}{8}

\displaystyle \frac{6}{8}

\displaystyle \frac{5}{8}

Correct answer:

\displaystyle \frac{6}{8}

Explanation:

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

\displaystyle \frac{7}{8}-\frac{1}{8}=\frac{6}{8}

6 8

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