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

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

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Example Questions

Example Question #191 : How To Multiply Fractions

\(\displaystyle 15\times\frac{1}{12}=\) 

Possible Answers:

\(\displaystyle \frac{17}{12}=1\frac{5}{12}\)

\(\displaystyle \frac{15}{12}=1\frac{3}{12}\)

\(\displaystyle \frac{16}{12}=1\frac{4}{12}\)

\(\displaystyle \frac{18}{12}=1\frac{6}{12}\)

\(\displaystyle \frac{14}{12}=1\frac{2}{12}\)

Correct answer:

\(\displaystyle \frac{15}{12}=1\frac{3}{12}\)

Explanation:

\(\displaystyle 15\times\frac{1}{12}\) means the same thing as adding \(\displaystyle \frac{1}{12}\) fifteen times.

On our number line, we can make \(\displaystyle 15\) jumps of \(\displaystyle \frac{1}{12}\)

15 12 number line

Example Question #191 : How To Multiply Fractions

\(\displaystyle 16\times\frac{1}{12}=\) 

Possible Answers:

\(\displaystyle \frac{18}{12}=1\frac{6}{12}\)

\(\displaystyle \frac{15}{12}=1\frac{3}{12}\)

\(\displaystyle \frac{14}{12}=1\frac{2}{12}\)

\(\displaystyle \frac{17}{12}=1\frac{5}{12}\)

\(\displaystyle \frac{16}{12}=1\frac{4}{12}\)

Correct answer:

\(\displaystyle \frac{16}{12}=1\frac{4}{12}\)

Explanation:

\(\displaystyle 16\times\frac{1}{12}\) means the same thing as adding \(\displaystyle \frac{1}{12}\) sixteen times.

On our number line, we can make \(\displaystyle 16\) jumps of \(\displaystyle \frac{1}{12}\)

16 12 number line

Example Question #141 : Build Fractions From Unit Fractions

\(\displaystyle 15\times\frac{1}{10}=\)

Possible Answers:

\(\displaystyle \frac{12}{10}=1\frac{2}{10}\)

\(\displaystyle \frac{13}{10}=1\frac{3}{10}\)

\(\displaystyle \frac{15}{10}=1\frac{5}{10}\)

\(\displaystyle \frac{14}{10}=1\frac{4}{10}\)

\(\displaystyle \frac{16}{10}=1\frac{6}{10}\)

Correct answer:

\(\displaystyle \frac{15}{10}=1\frac{5}{10}\)

Explanation:

\(\displaystyle 15\times\frac{1}{10}\) means the same thing as adding \(\displaystyle \frac{1}{10}\) fifteen times.

On our number line, we can make \(\displaystyle 15\) jumps of \(\displaystyle \frac{1}{10}\)

15 10 number line

Example Question #91 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

\(\displaystyle 14\times\frac{1}{10}=\)

Possible Answers:

\(\displaystyle \frac{14}{10}=1\frac{4}{10}\)

\(\displaystyle \frac{16}{10}=1\frac{6}{10}\)

\(\displaystyle \frac{15}{10}=1\frac{5}{10}\)

\(\displaystyle \frac{12}{10}=1\frac{2}{10}\)

\(\displaystyle \frac{13}{10}=1\frac{3}{10}\)

Correct answer:

\(\displaystyle \frac{14}{10}=1\frac{4}{10}\)

Explanation:

\(\displaystyle 14\times\frac{1}{10}\) means the same thing as adding \(\displaystyle \frac{1}{10}\) fourteen times.

On our number line, we can make \(\displaystyle 14\) jumps of \(\displaystyle \frac{1}{10}\)


14 10 number line

Example Question #1851 : Ssat Middle Level Quantitative (Math)

Select the answer choice that is equal to \(\displaystyle 4\times\frac{2}{5}\)

 

Possible Answers:

\(\displaystyle 8\times\frac{2}{5}\)

\(\displaystyle 6\times\frac{2}{5}\)

\(\displaystyle 8\times\frac{1}{5}\)

\(\displaystyle 4\times\frac{4}{5}\)

\(\displaystyle 6\times\frac{1}{5}\)

Correct answer:

\(\displaystyle 8\times\frac{1}{5}\)

Explanation:

When we multiply a whole number by a fraction, we multiply the whole number by the numerator, and the denominator stays the same. 

\(\displaystyle \frac{4}{1}\times\frac{2}{5}=\frac{8}{5}\)

\(\displaystyle \frac{8}{1}\times\frac{1}{5}=\frac{8}{5}\)

Example Question #1852 : Ssat Middle Level Quantitative (Math)

Select the answer choice that is equal to \(\displaystyle 5\times\frac{2}{5}\)

 

Possible Answers:

\(\displaystyle 10\times\frac{2}{5}\)

\(\displaystyle 8\times\frac{2}{5}\)

\(\displaystyle 8\times\frac{1}{5}\)

\(\displaystyle 10\times\frac{1}{5}\)

\(\displaystyle 5\times\frac{3}{5}\)

Correct answer:

\(\displaystyle 10\times\frac{1}{5}\)

Explanation:

When we multiply a whole number by a fraction, we multiply the whole number by the numerator, and the denominator stays the same. 

\(\displaystyle \frac{5}{1}\times\frac{2}{5}=\frac{10}{5}\)

\(\displaystyle \frac{10}{1}\times\frac{1}{5}=\frac{10}{5}\)

Example Question #1853 : Ssat Middle Level Quantitative (Math)

Select the answer choice that is equal to \(\displaystyle 3\times\frac{3}{4}\)

 

Possible Answers:

\(\displaystyle 4\times\frac{2}{4}\)

\(\displaystyle 9\times\frac{1}{4}\)

\(\displaystyle 6\times\frac{3}{4}\)

\(\displaystyle 4\times\frac{1}{4}\)

\(\displaystyle 9\frac{2}{4}\)

Correct answer:

\(\displaystyle 9\times\frac{1}{4}\)

Explanation:

When we multiply a whole number by a fraction, we multiply the whole number by the numerator, and the denominator stays the same. 

\(\displaystyle \frac{3}{1}\times\frac{3}{4}=\frac{9}{4}\)

\(\displaystyle \frac{9}{1}\times\frac{1}{4}=\frac{9}{4}\)

Example Question #1854 : Ssat Middle Level Quantitative (Math)

Select the answer choice that is equal to \(\displaystyle 4\times\frac{3}{4}\)

 

Possible Answers:

\(\displaystyle 9\times\frac{1}{4}\)

\(\displaystyle 11\times\frac{1}{4}\)

\(\displaystyle 12\times\frac{1}{4}\)

\(\displaystyle 11\times\frac{2}{4}\)

\(\displaystyle 9\times\frac{2}{4}\)

Correct answer:

\(\displaystyle 12\times\frac{1}{4}\)

Explanation:

When we multiply a whole number by a fraction, we multiply the whole number by the numerator, and the denominator stays the same. 

\(\displaystyle \frac{4}{1}\times\frac{3}{4}=\frac{12}{4}\)

\(\displaystyle \frac{12}{1}\times\frac{1}{4}=\frac{12}{4}\)

Example Question #152 : Build Fractions From Unit Fractions

Select the answer choice that is equal to \(\displaystyle 5\times\frac{3}{4}\)

 

Possible Answers:

\(\displaystyle 15\times\frac{2}{4}\)

\(\displaystyle 12\times\frac{1}{4}\)

\(\displaystyle 14\times\frac{2}{4}\)

\(\displaystyle 12\times\frac{2}{4}\)

\(\displaystyle 15\times\frac{1}{4}\)

Correct answer:

\(\displaystyle 15\times\frac{1}{4}\)

Explanation:

When we multiply a whole number by a fraction, we multiply the whole number by the numerator, and the denominator stays the same. 

\(\displaystyle \frac{5}{1}\times\frac{3}{4}=\frac{15}{4}\)

\(\displaystyle \frac{15}{1}\times\frac{1}{4}=\frac{15}{4}\)

Example Question #153 : Build Fractions From Unit Fractions

Select the answer choice that is equal to \(\displaystyle 3\times\frac{2}{6}\)

 

Possible Answers:

\(\displaystyle 6\times\frac{1}{6}\)

\(\displaystyle 6\times\frac{3}{6}\)

\(\displaystyle 6\times\frac{2}{6}\)

\(\displaystyle 5\times\frac{1}{6}\)

\(\displaystyle 3\times\frac{3}{6}\)

Correct answer:

\(\displaystyle 6\times\frac{1}{6}\)

Explanation:

When we multiply a whole number by a fraction, we multiply the whole number by the numerator, and the denominator stays the same. 

\(\displaystyle \frac{3}{1}\times\frac{2}{6}=\frac{6}{6}\)

\(\displaystyle \frac{6}{1}\times\frac{1}{6}=\frac{6}{6}\)

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