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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 #21 : Build Fractions From Unit Fractions

Which option is equal to:

$17\frac{4}{10}$

Possible Answers:

$11\frac{2}{10}+6\frac{2}{10}$

$11\frac{2}{10}+5\frac{2}{10}$

$11\frac{1}{10}+6\frac{2}{10}$

$11\frac{1}{10}+5\frac{2}{10}$

$12\frac{2}{10}+6\frac{2}{10}$

Correct answer:

$11\frac{2}{10}+6\frac{2}{10}$

Explanation:

When we add mixed numbers, we add whole numbers to whole numbers, and fractions to fractions.

Don't forget, when we add fractions, we have to have common denominators and we only add the numerators.

$11\frac{2}{10}+6\frac{2}{10}=17\frac{4}{10}$

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Example Question #331 : Build Fractions From Unit Fractions

Select the fraction model that shows the sum of:

$\frac{4}{8}+\frac{2}{8}$

Possible Answers:

8 12

6 12

7 8

6 8

4th grade 14 second answer choice

Correct answer:

6 8

Explanation:

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

The fraction model is broken up into eight pieces and six 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 #2 : Adding Mixed Numbers

Solve:

$6\frac{4}{10}+5\frac{5}{10}$

Possible Answers:

$11\frac{8}{20}$

$11\frac{8}{10}$

$11\frac{9}{10}$

$11\frac{9}{20}$

$11\frac{4}{5}$

Correct answer:

$11\frac{9}{10}$

Explanation:

When we add mixed numbers, we add whole numbers to whole numbers and fractions to fractions.

6+5=11

$\frac{4}{10}+\frac{5}{10}=\frac{9}{10}$

Remember, when we are adding fractions we must have common denominators and we only add the numerators.

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Example Question #562 : Number & Operations: Fractions

On Monday it snowed $\frac{1}{4}$ of an inch in the afternoon and $\frac{1}{4}$ of an inch in the evening. What was the total amount of snowfall on Monday?

Possible Answers:

$\frac{4}{4}$

$\frac{2}{4}$

$\frac{5}{5}$

$\frac{1}{4}$

$\frac{3}{4}$

Correct answer:

$\frac{2}{4}$

Explanation:

To solve this problem, we are putting the amount of snowfall from the afternoon and the evening together, so we add the fractions.

$\frac{1}{4}+\frac{1}{4}=\frac{2}{4}$

2 4

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Example Question #291 : Number & Operations: Fractions

Solve the following:

$\frac{5}{10}+\frac{2}{100}=$

Possible Answers:

$\frac{20}{100}$

$\frac{52}{100}$

$\frac{7}{10}$

$\frac{50}{100}$

$\frac{7}{100}$

Correct answer:

$\frac{52}{100}$

Explanation:

When we add fractions, we must have common denominators. Whenever we have a number over or 100 we can add (s) to the numerator and denominator to make common denominators.

$\frac{5}{10}=\frac{50}{100}$

$\frac{50}{100}+\frac{2}{100}=\frac{52}{100}$

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Example Question #5 : Decompose A Fraction Into A Sum Of Fractions: Ccss.Math.Content.4.Nf.B.3b

$\frac{2}{7}$ is equal to which of the options below?

Possible Answers:

$\frac{1}{7}+\frac{1}{7}+\frac{1}{7}+\frac{1}{7}$

$\frac{1}{7}+\frac{1}{7}+\frac{1}{7}$

$\frac{1}{7}+\frac{1}{7}$

$\frac{1}{3}+\frac{1}{4}+\frac{1}{3}+\frac{1}{4}$

$\frac{1}{3}+\frac{1}{4}$

Correct answer:

$\frac{1}{7}+\frac{1}{7}$

Explanation:

When we add fractions, we have to have common denominators and we only add the numerators.

$\frac{1}{7}+\frac{1}{7}=\frac{2}{7}$

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Example Question #1 : Adding Fractions In Word Problems

In Charlie's pantry, $\frac{2}{5}$ of the items are potato chips, $\frac{1}{5}$ of the items are tortilla chips, and the rest are cookies or crackers. What fraction are chips?

Possible Answers:

$\frac{4}{5}$

$\frac{1}{5}$

$\frac{5}{5}$

$\frac{2}{5}$

$\frac{3}{5}$

Correct answer:

$\frac{3}{5}$

Explanation:

To solve this problem, we are putting the potato chips and the tortilla chips together, so we add the fractions.

$\frac{2}{5}+\frac{1}{5}=\frac{3}{5}$

3 5

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Example Question #1541 : Ssat Middle Level Quantitative (Math)

$7 \frac{1}{2}$ hours is how many more minutes than $3 \frac{3}{4}$ hours?

Possible Answers:

185

245

225

255

200

Correct answer:

225

Explanation:

This question requires you to subtract fractions as well as convert hours to minutes.

Subtracting $3\frac{3}{4}$ hours $\left ( \frac{15}{4} \right )$ from $7\frac{1}{2}$ hours $\left ( \frac{15}{2}\ or\ \frac{30}{4} \right )$

you get $3\frac{3}{4}$ hours $\left ( \frac{15}{4} \right )$ .

3 hours is 180 minutes $\left ( 3\cdot 60 \right )$

and $\frac{3}{4}$ of an hour is 45 minutes $\left ( \frac{3}{4}\cdot 60 \right )$ .

Thus the answer is

$180+45=225\ minutes$

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Example Question #1542 : Ssat Middle Level Quantitative (Math)

Evaluate:

$9 - 5 \frac{3}{7}$

Possible Answers:

$3 \frac{4}{7}$

$4 \frac{4}{7}$

$3 \frac{3}{7}$

$4 \frac{3}{7}$

$4 \frac{2}{7}$

Correct answer:

$3 \frac{4}{7}$

Explanation:

"Borrow" 1 from the 9 to form $8 \frac{7}{7}$ . You can then subtract integers and fractions vertically:

$8 \frac{7}{7}$

$\underline{5 \frac{3}{7}}$

$3 \frac{4}{7}$

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Example Question #2 : How To Subtract Fractions

Evaluate:

$6 \frac{1}{5} - 4 \frac{1}{2}$

Possible Answers:

$1 \frac{9}{10}$

$2 \frac{3}{10}$

$2 \frac{1}{10}$

$1 \frac{3}{5}$

$1 \frac{7}{10}$

Correct answer:

$1 \frac{7}{10}$

Explanation:

Rewrite as the difference of improper fractions:

$6 \frac{1}{5} - 4 \frac{1}{2} = \frac{6 \times 5 + 1}{5} - \frac{4 \times 2 + 1}{2} = \frac{31}{5} - \frac{9}{2}$

Rewrite with a common denominator, then subtract numerators:

$\frac{31}{5} - \frac{9}{2} = \frac{2 \times 31}{2 \times 5} - \frac{9\times 5}{2\times 5} = \frac{62}{10} - \frac{45}{10} = \frac{17}{10}$

Rewrite as a mixed number:

$17 \div 10 = 1 \textrm{ R } 7$

$\frac{17}{10} = 1 \frac{7}{10}$

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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 #21 : Build Fractions From Unit Fractions

Example Question #331 : Build Fractions From Unit Fractions

Example Question #2 : Adding Mixed Numbers

Example Question #562 : Number & Operations: Fractions

Example Question #291 : Number & Operations: Fractions

Example Question #5 : Decompose A Fraction Into A Sum Of Fractions: Ccss.Math.Content.4.Nf.B.3b

Example Question #1 : Adding Fractions In Word Problems

Example Question #1541 : Ssat Middle Level Quantitative (Math)

Example Question #1542 : Ssat Middle Level Quantitative (Math)

Example Question #2 : How To Subtract Fractions

All SSAT Middle Level Math Resources

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HIGH SCHOOL

GRADUATE SCHOOL

K-8

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math tutoring

science tutoring

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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 #21 : Build Fractions From Unit Fractions

Example Question #331 : Build Fractions From Unit Fractions

Example Question #2 : Adding Mixed Numbers

Example Question #562 : Number & Operations: Fractions

Example Question #291 : Number & Operations: Fractions

Example Question #5 : Decompose A Fraction Into A Sum Of Fractions: Ccss.Math.Content.4.Nf.B.3b

Example Question #1 : Adding Fractions In Word Problems

Example Question #1541 : Ssat Middle Level Quantitative (Math)

Example Question #1542 : Ssat Middle Level Quantitative (Math)

Example Question #2 : How To Subtract Fractions

All SSAT Middle Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Example Question #562 : Number & Operations: Fractions

Example Question #291 : Number & Operations: Fractions