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SSAT Middle Level Math : Numbers and Operations

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 #4 : Adding Mixed Numbers

Solve:

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

Possible Answers:

$11\frac{8}{10}$

$11\frac{9}{20}$

$11\frac{4}{5}$

$11\frac{9}{10}$

$11\frac{8}{20}$

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 #1191 : Common Core Math: Grade 4

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:

$\frac{3}{4}$

$\frac{4}{4}$

$\frac{1}{4}$

$\frac{5}{5}$

$\frac{2}{4}$

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 : Build Fractions From Unit Fractions

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

Possible Answers:

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

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

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

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

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

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:

$\frac{2}{5}$

$\frac{1}{5}$

$\frac{5}{5}$

$\frac{3}{5}$

$\frac{4}{5}$

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 #1 : How To Subtract Fractions

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

Possible Answers:

245

225

255

185

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 #2 : How To Subtract Fractions

Evaluate:

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

Possible Answers:

$4 \frac{4}{7}$

$3 \frac{3}{7}$

$3 \frac{4}{7}$

$4 \frac{3}{7}$

$4 \frac{2}{7}$

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 #3 : How To Subtract Fractions

Evaluate:

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

Possible Answers:

$2 \frac{3}{10}$

$1 \frac{9}{10}$

$1 \frac{7}{10}$

$2 \frac{1}{10}$

$1 \frac{3}{5}$

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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Example Question #4 : How To Subtract Fractions

Evaluate:

$8 \frac{4}{5} - 4 \frac{1}{3}$

Possible Answers:

$4 \frac{1}{3 }$

$4 \frac{1}{2 }$

$4 \frac{8}{15 }$

$4 \frac{7}{15 }$

$4 \frac{3}{5 }$

Correct answer:

$4 \frac{7}{15 }$

Explanation:

Rewrite as the difference of improper fractions:

$8 \frac{4}{5} - 4 \frac{1}{3} = \frac{8 \times 5 + 4}{5} - \frac{4 \times 3 + 1}{3} = \frac{44}{5} - \frac{13}{3}$

Rewrite with a common denominator, then subtract numerators:

$\frac{44}{5} - \frac{13}{3} = \frac{44\times 3}{5 \times 3} - \frac{5 \times13}{5 \times3} = \frac{132}{15 } - \frac{65}{15 } = \frac{67}{15 }$

Rewrite as a mixed number:

$67\div 15 = 4 \textrm{ R } 7$

$\frac{67}{15 } = 4 \frac{7}{15 }$

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Example Question #5 : How To Subtract Fractions

Evaluate:

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

Possible Answers:

$3 \frac{1}{5}$

$4 \frac{1}{5}$

$3 \frac{4}{5}$

$3 \frac{3}{5}$

$4 \frac{4}{5}$

Correct answer:

$3 \frac{1}{5}$

Explanation:

"Borrow" 1 from the 5 to form $4 \frac{5}{5}$ . You can then subtract integers and fractions vertically:

$4 \frac{5}{5}$

$\underline{1 \frac{4}{5}}$

$3 \frac{1}{5}$

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SSAT Middle Level Math : Numbers and Operations

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

All SSAT Middle Level Math Resources

Example Questions

Example Question #4 : Adding Mixed Numbers

Example Question #1191 : Common Core Math: Grade 4

Example Question #291 : Number & Operations: Fractions

Example Question #5 : Build Fractions From Unit Fractions

Example Question #1 : Adding Fractions In Word Problems

Example Question #1 : How To Subtract Fractions

Example Question #2 : How To Subtract Fractions

Example Question #3 : How To Subtract Fractions

Example Question #4 : How To Subtract Fractions

Example Question #5 : How To Subtract Fractions

All SSAT Middle Level Math Resources

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HIGH SCHOOL

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K-8

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math tutoring

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SSAT Middle Level Math : Numbers and Operations

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

All SSAT Middle Level Math Resources

Example Questions

Example Question #4 : Adding Mixed Numbers

Example Question #1191 : Common Core Math: Grade 4

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

Example Question #5 : Build Fractions From Unit Fractions

Example Question #1 : Adding Fractions In Word Problems

Example Question #1 : How To Subtract Fractions

Example Question #2 : How To Subtract Fractions

Example Question #3 : How To Subtract Fractions

Example Question #4 : How To Subtract Fractions

Example Question #5 : 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 #291 : Number & Operations: Fractions