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

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

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All SSAT Middle Level Math Resources

10 Diagnostic Tests 225 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1225 : Common Core Math: Grade 4

A baker used $\frac{2}{8}$ of a package of sprinkles and $\frac{7}{8}$ of a package of icing when decorating a cake. How much more icing than sprinkles did the baker use?

Possible Answers:

$\frac{2}{8}$

$\frac{5}{8}$

$\frac{4}{8}$

$\frac{3}{8}$

$\frac{6}{8}$

Correct answer:

$\frac{5}{8}$

Explanation:

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

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

5 8

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Example Question #31 : Subtracting Fractions In Word Problems

A baker used $\frac{1}{8}$ of a package of sprinkles and $\frac{7}{8}$ of a package of icing when decorating a cake. How much more icing than sprinkles did the baker use?

Possible Answers:

$\frac{5}{8}$

$\frac{3}{8}$

$\frac{6}{8}$

$\frac{2}{8}$

$\frac{4}{8}$

Correct answer:

$\frac{6}{8}$

Explanation:

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

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

6 8

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Example Question #1227 : Common Core Math: Grade 4

A baker used $\frac{2}{4}$ of a package of sprinkles and $\frac{3}{4}$ of a package of icing when decorating a cake. How much more icing than sprinkles did the baker use?

Possible Answers:

$\frac{5}{4}$

$\frac{3}{4}$

$\frac{4}{4}$

$\frac{1}{4}$

$\frac{2}{4}$

Correct answer:

$\frac{1}{4}$

Explanation:

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

$\frac{3}{4}-\frac{2}{4}=\frac{1}{4}$

1 4

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Example Question #32 : Subtracting Fractions In Word Problems

A baker used $\frac{4}{8}$ of a package of sprinkles and $\frac{6}{8}$ of a package of icing when decorating a cake. How much more icing than sprinkles did the baker use?

Possible Answers:

$\frac{3}{8}$

$\frac{4}{8}$

$\frac{5}{8}$

$\frac{6}{8}$

$\frac{2}{8}$

Correct answer:

$\frac{2}{8}$

Explanation:

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

$\frac{6}{8}-\frac{4}{8}=\frac{2}{8}$

2 8

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Example Question #41 : Understand Addition And Subtraction Of Fractions: Ccss.Math.Content.4.Nf.B.3a

Select the fraction model that shows the difference of the following:

$\frac{6}{12}-\frac{4}{12}$

Possible Answers:

6 8

8 12

4 12

7 8

2 12

Correct answer:

2 12

Explanation:

$\frac{6}{12}-\frac{4}{12}=\frac{2}{12}$

The fraction model is broken up into twelve pieces and two of the pieces are shaded in. The numerator of the fraction tells us how many pieces should be shaded in, and the denominator tells us how many pieces the whole should be split up into.

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Example Question #15 : Solve Word Problems Involving Addition And Subtraction Of Fractions: Ccss.Math.Content.5.Nf.A.2

Ben washed $\frac{3}{8}$ of the windows and Jen washed $\frac{1}{4}$ of them. How much more of the windows did Ben wash?

Possible Answers:

$\frac{2}3{}$

$\frac{1}6{}$

$\frac{1}8{}$

$\frac{7}9{}$

$\frac{1}2{}$

Correct answer:

$\frac{1}8{}$

Explanation:

$\frac{3}{8}-\frac{1}{4}$

In order to solve this problem, we first need to make common denominators.

$\frac{1}{4}\times\frac{2}{2}=\frac{2}{8}$

Now that we have common denominators, we can subtract the fractions. Remember, when we subtract fractions, the denominator stays the same, we only subtract the numerator.

$\frac{3}{8}-\frac{2}8{=\frac{1}{8}}$

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Example Question #665 : Number & Operations With Fractions

Solve the following:

$\frac{2}{3}-\frac{1}{8}$

Possible Answers:

$\frac{1}{5}$

$\frac{13}{24}$

$\frac{3}7{}$

$\frac{1}2{}$

$\frac{12}{24}$

Correct answer:

$\frac{13}{24}$

Explanation:

$\frac{2}{3}-\frac{1}{8}$

In order to solve this problem, we first have to find common denominators.

$\frac{2}{3}\times\frac{8}{8}=\frac{16}{24}$

$\frac{1}{8}\times\frac{3}{3}=\frac{3}{24}$

Now that we have common denominators, we can subtract the fractions. Remember, when we add and subtract fractions, we only add or subtract the numerator.

$\frac{16}{24}-\frac{3}{24}=\frac{13}{24}$

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Example Question #1 : Subtracting Mixed Numbers

Solve the following:

$43\frac{5}{9}-37\frac{4}{9}$

Possible Answers:

$7\frac{1}{9}$

$6\frac{1}{8}$

$6\frac{1}{9}$

$7\frac{1}{8}$

$6\frac{2}{9}$

Correct answer:

$6\frac{1}{9}$

Explanation:

When we subtract mixed numbers, we subtract whole numbers by whole numbers and fractions by fractions.

43-37=6

$\frac{5}{9}-\frac{4}{9}=\frac{1}{9}$

Remember, when we are subtracting fractions we must have common denominators and we only subtract the numerators.

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Example Question #61 : Solve Word Problems Involving Addition And Subtraction Of Fractions: Ccss.Math.Content.4.Nf.B.3d

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

Possible Answers:

$\frac{4}{7}$

$\frac{6}{}7$

$\frac{5}{7}$

$\frac{2}{7}$

$\frac{3}{7}$

Correct answer:

$\frac{5}{7}$

Explanation:

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

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

5 7

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Example Question #812 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

Shannon has painted $\frac{5}{8}$ of the house and Dan has painted $\frac{1}4{}$ of the house. How much more of the house has Shannon painted?

Possible Answers:

$\frac{3}{8}$

$\frac{1}4{}$

$\frac{3}4{}$

$\frac{5}7{}$

$\frac{9}{11}$

Correct answer:

$\frac{3}{8}$

Explanation:

$\frac{5}{8}-\frac{1}{4}$

In order to solve this problem, we first need to make common denominators.

$\frac{1}{4}\times\frac{2}{2}=\frac{2}{8}$

Now that we have common denominators, we can subtract the fractions. Remember, when we subtract fractions, the denominator stays the same, we only subtract the numerator.

$\frac{5}{8}-\frac{2}{8}=\frac{3}{8}$

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

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

All SSAT Middle Level Math Resources

Example Questions

Example Question #1225 : Common Core Math: Grade 4

Example Question #31 : Subtracting Fractions In Word Problems

Example Question #1227 : Common Core Math: Grade 4

Example Question #32 : Subtracting Fractions In Word Problems

Example Question #41 : Understand Addition And Subtraction Of Fractions: Ccss.Math.Content.4.Nf.B.3a

Example Question #15 : Solve Word Problems Involving Addition And Subtraction Of Fractions: Ccss.Math.Content.5.Nf.A.2

Example Question #665 : Number & Operations With Fractions

Example Question #1 : Subtracting Mixed Numbers

Example Question #61 : Solve Word Problems Involving Addition And Subtraction Of Fractions: Ccss.Math.Content.4.Nf.B.3d

Example Question #812 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

All SSAT Middle Level Math Resources

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