SSAT Middle Level Math : Numbers and Operations

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

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Example Questions

Example Question #23 : Adding Fractions In Word Problems

Molly has a reading assignment to complete by Friday. She read \(\displaystyle \frac{2}{8}\) of the book on Monday and \(\displaystyle \frac{5}{8}\) of the book on Wednesday. What fraction of the reading assignment has she completed? 

 

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

To solve this problem, we are putting the reading that was done on Monday and the reading that was done on Wednesday together, so we add the fractions. 

\(\displaystyle \frac{2}{8}+\frac{5}{8}=\frac{7}{8}\)

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Example Question #24 : Adding Fractions In Word Problems

Kalea has a reading assignment to complete by Friday. She read \(\displaystyle \frac{4}{8}\) of the book on Monday and \(\displaystyle \frac{3}{8}\) of the book on Wednesday. What fraction of the reading assignment has she completed? 

 

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

To solve this problem, we are putting the reading that was done on Monday and the reading that was done on Wednesday together, so we add the fractions. 

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

7 8

Example Question #25 : Adding Fractions In Word Problems

On Friday it snowed \(\displaystyle \frac{8}{12}\) of an inch in the afternoon and \(\displaystyle \frac{3}{12}\) of an inch in the evening. What was the total amount of snowfall on Friday?

 

Possible Answers:

\(\displaystyle \frac{10}{12}\)

\(\displaystyle \frac{11}{12}\)

\(\displaystyle \frac{8}{12}\)

\(\displaystyle \frac{9}{12}\)

\(\displaystyle \frac{7}{12}\)

Correct answer:

\(\displaystyle \frac{11}{12}\)

Explanation:

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

\(\displaystyle \frac{8}{12}+\frac{3}{12}=\frac{11}{12}\)

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Example Question #26 : Adding Fractions In Word Problems

On Thursday it snowed \(\displaystyle \frac{5}{12}\) of an inch in the afternoon and \(\displaystyle \frac{4}{12}\) of an inch in the evening. What was the total amount of snowfall on Thursday?

 

Possible Answers:

\(\displaystyle \frac{9}{12}\)

\(\displaystyle \frac{7}{12}\)

\(\displaystyle \frac{11}{12}\)

\(\displaystyle \frac{8}{12}\)

\(\displaystyle \frac{10}{12}\)

Correct answer:

\(\displaystyle \frac{9}{12}\)

Explanation:

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

\(\displaystyle \frac{5}{12}+\frac{4}{12}=\frac{9}{12}\)

9 12

Example Question #27 : Adding Fractions In Word Problems

On Tuesday it snowed \(\displaystyle \frac{6}{12}\) of an inch in the afternoon and \(\displaystyle \frac{2}{12}\) of an inch in the evening. What was the total amount of snowfall on Tuesday?

 

Possible Answers:

\(\displaystyle \frac{6}{12}\)

\(\displaystyle \frac{5}{12}\)

\(\displaystyle \frac{8}{12}\)

\(\displaystyle \frac{4}{12}\)

\(\displaystyle \frac{7}{12}\)

Correct answer:

\(\displaystyle \frac{8}{12}\)

Explanation:

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

\(\displaystyle \frac{6}{12}+\frac{2}{12}=\frac{8}{12}\)

8 12

Example Question #28 : Adding Fractions In Word Problems

On Monday it snowed \(\displaystyle \frac{4}{12}\) of an inch in the afternoon and \(\displaystyle \frac{3}{12}\) of an inch in the evening. What was the total amount of snowfall on Monday?

 

Possible Answers:

\(\displaystyle \frac{11}{12}\)

\(\displaystyle \frac{7}{12}\)

\(\displaystyle \frac{9}{12}\)

\(\displaystyle \frac{10}{12}\)

\(\displaystyle \frac{8}{12}\)

Correct answer:

\(\displaystyle \frac{7}{12}\)

Explanation:

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

\(\displaystyle \frac{4}{12}+\frac{3}{12}=\frac{7}{12}\)

7 12

Example Question #29 : Adding Fractions In Word Problems

On Sunday it snowed \(\displaystyle \frac{2}{12}\) of an inch in the afternoon and \(\displaystyle \frac{4}{12}\) of an inch in the evening. What was the total amount of snowfall on Sunday?

 

Possible Answers:

\(\displaystyle \frac{3}{12}\)

\(\displaystyle \frac{5}{12}\)

\(\displaystyle \frac{6}{12}\)

\(\displaystyle \frac{4}{12}\)

\(\displaystyle \frac{7}{12}\)

Correct answer:

\(\displaystyle \frac{6}{12}\)

Explanation:

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

\(\displaystyle \frac{2}{12}+\frac{4}{12}=\frac{6}{12}\)

6 12

Example Question #30 : Adding Fractions In Word Problems

On Saturday it snowed \(\displaystyle \frac{3}{12}\) of an inch in the afternoon and \(\displaystyle \frac{2}{12}\) of an inch in the evening. What was the total amount of snowfall on Saturday?

 

Possible Answers:

\(\displaystyle \frac{5}{12}\)

\(\displaystyle \frac{2}{12}\)

\(\displaystyle \frac{1}{12}\)

\(\displaystyle \frac{4}{12}\)

\(\displaystyle \frac{3}{12}\)

Correct answer:

\(\displaystyle \frac{5}{12}\)

Explanation:

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

\(\displaystyle \frac{3}{12}+\frac{2}{12}=\frac{5}{12}\)

5 12

 

Example Question #371 : Fractions

On Friday it snowed \(\displaystyle \frac{2}{12}\) of an inch in the afternoon and \(\displaystyle \frac{2}{12}\) of an inch in the evening. What was the total amount of snowfall on Friday?

 

Possible Answers:

\(\displaystyle \frac{3}{12}\)

\(\displaystyle \frac{4}{12}\)

\(\displaystyle \frac{2}{12}\)

\(\displaystyle \frac{6}{12}\)

\(\displaystyle \frac{5}{12}\)

Correct answer:

\(\displaystyle \frac{4}{12}\)

Explanation:

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

\(\displaystyle \frac{2}{12}+\frac{2}{12}=\frac{4}{12}\)

4 12

Example Question #31 : Adding Fractions In Word Problems

On Thursday it snowed \(\displaystyle \frac{2}{12}\) of an inch in the afternoon and \(\displaystyle \frac{1}{12}\) of an inch in the evening. What was the total amount of snowfall on Thursday?

 

Possible Answers:

\(\displaystyle \frac{7}{12}\)

\(\displaystyle \frac{3}{12}\)

\(\displaystyle \frac{5}{12}\)

\(\displaystyle \frac{6}{12}\)

\(\displaystyle \frac{4}{12}\)

Correct answer:

\(\displaystyle \frac{3}{12}\)

Explanation:

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

\(\displaystyle \frac{2}{12}+\frac{1}{12}=\frac{3}{12}\)

3 12

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