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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 #778 : Fractions

Claire is trying out for the track team this year. On Monday she ran $\displaystyle 22$ laps. On Tuesday she runs $1\tfrac{2}{3}$ $\displaystyle 1\tfrac{2}{3}$ times as many laps as she did on Monday. How many laps does she run on Tuesday?

Possible Answers:

$44\ laps$ $\displaystyle 44\ laps$

$36\ laps$ $\displaystyle 36\ laps$

$44\frac{2}{3}\ laps$ $\displaystyle 44\frac{2}{3}\ laps$

$26\frac{1}{3}\ laps$ $\displaystyle 26\frac{1}{3}\ laps$

$36\frac{2}{3}\ laps$ $\displaystyle 36\frac{2}{3}\ laps$

Correct answer:

$36\frac{2}{3}\ laps$ $\displaystyle 36\frac{2}{3}\ laps$

Explanation:

First, you need to change the mixed number into an improper fraction. To do this, you multiply the denominator by the whole number, then add the numerator. That number becomes the numerator of your improper fraction. The denominator stays the same.

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

Then put your whole number over $\displaystyle 1$ to make it a fraction, and multiply like normal.

$\frac{22}{1}\times\frac{5}{3}=\frac{110}{3}$ $\displaystyle \frac{22}{1}\times\frac{5}{3}=\frac{110}{3}$

Finally, reduce to find your final answer.

$\frac{110}{3}=36\frac{2}{3}$ $\displaystyle \frac{110}{3}=36\frac{2}{3}$

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Example Question #779 : Fractions

Molly is trying out for the track team this year. On Monday she ran $\displaystyle 12$ laps. On Tuesday she runs $1\tfrac{2}{5}$ $\displaystyle 1\tfrac{2}{5}$ times as many laps as she did on Monday. How many laps does she run on Tuesday?

Possible Answers:

$16\frac{4}{5}\ laps$ $\displaystyle 16\frac{4}{5}\ laps$

$12\frac{2}{5}\ laps$ $\displaystyle 12\frac{2}{5}\ laps$

$16\frac{2}{5}\ laps$ $\displaystyle 16\frac{2}{5}\ laps$

$24\frac{2}{5}\ laps$ $\displaystyle 24\frac{2}{5}\ laps$

$60\ laps$ $\displaystyle 60\ laps$

Correct answer:

$16\frac{4}{5}\ laps$ $\displaystyle 16\frac{4}{5}\ laps$

Explanation:

$1\frac{2}{5}=\frac{7}{5}$ $\displaystyle 1\frac{2}{5}=\frac{7}{5}$

Then put your whole number over $\displaystyle 1$ to make it a fraction, and multiply like normal.

$\frac{12}{1}\times\frac{7}{5}=\frac{84}{5}$ $\displaystyle \frac{12}{1}\times\frac{7}{5}=\frac{84}{5}$

Finally, reduce to find your final answer.

$\frac{84}{5}=16\frac{4}{5}$ $\displaystyle \frac{84}{5}=16\frac{4}{5}$

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Example Question #780 : Fractions

Molly is trying out for the track team this year. On Monday she ran $\displaystyle 15$ laps. On Tuesday she runs $1\tfrac{2}{5}$ $\displaystyle 1\tfrac{2}{5}$ times as many laps as she did on Monday. How many laps does she run on Tuesday?

Possible Answers:

$30\frac{1}{5}\ laps$ $\displaystyle 30\frac{1}{5}\ laps$

$32\ laps$ $\displaystyle 32\ laps$

$21\frac{1}{5}\ laps$ $\displaystyle 21\frac{1}{5}\ laps$

$21\ laps$ $\displaystyle 21\ laps$

$30\ laps$ $\displaystyle 30\ laps$

Correct answer:

$21\ laps$ $\displaystyle 21\ laps$

Explanation:

$1\frac{2}{5}=\frac{7}{5}$ $\displaystyle 1\frac{2}{5}=\frac{7}{5}$

Then put your whole number over $\displaystyle 1$ to make it a fraction, and multiply like normal.

$\frac{15}{1}\times\frac{7}{5}=\frac{105}{5}$ $\displaystyle \frac{15}{1}\times\frac{7}{5}=\frac{105}{5}$

Finally, reduce to find your final answer.

$\frac{105}{5}=21$ $\displaystyle \frac{105}{5}=21$

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Example Question #781 : Fractions

Molly is trying out for the track team this year. On Monday she ran $\displaystyle 13$ laps. On Tuesday she runs $1\tfrac{2}{5}$ $\displaystyle 1\tfrac{2}{5}$ times as many laps as she did on Monday. How many laps does she run on Tuesday?

Possible Answers:

$19\ laps$ $\displaystyle 19\ laps$

$18\frac{1}{5}\ laps$ $\displaystyle 18\frac{1}{5}\ laps$

$26\frac{1}{5}\ laps$ $\displaystyle 26\frac{1}{5}\ laps$

$26\frac{1}{3}\ laps$ $\displaystyle 26\frac{1}{3}\ laps$

$25\ laps$ $\displaystyle 25\ laps$

Correct answer:

$18\frac{1}{5}\ laps$ $\displaystyle 18\frac{1}{5}\ laps$

Explanation:

$1\frac{2}{5}=\frac{7}{5}$ $\displaystyle 1\frac{2}{5}=\frac{7}{5}$

Then put your whole number over $\displaystyle 1$ to make it a fraction, and multiply like normal.

$\frac{13}{1}\times\frac{7}{5}=\frac{91}{5}$ $\displaystyle \frac{13}{1}\times\frac{7}{5}=\frac{91}{5}$

Finally, reduce to find your final answer.

$\frac{91}{5}=18\frac{1}{5}$ $\displaystyle \frac{91}{5}=18\frac{1}{5}$

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Example Question #782 : Fractions

Hannah is trying out for the track team this year. On Monday she ran $\displaystyle 12$ laps. On Tuesday she runs $1\tfrac{1}{4}$ $\displaystyle 1\tfrac{1}{4}$ times as many laps as she did on Monday. How many laps does she run on Tuesday?

Possible Answers:

$24\frac{1}{4}\ laps$ $\displaystyle 24\frac{1}{4}\ laps$

$15\ laps$ $\displaystyle 15\ laps$

$48\ laps$ $\displaystyle 48\ laps$

$15\frac{1}{4}\ laps$ $\displaystyle 15\frac{1}{4}\ laps$

$24\ laps$ $\displaystyle 24\ laps$

Correct answer:

$15\ laps$ $\displaystyle 15\ laps$

Explanation:

$1\frac{1}{4}=\frac{5}{4}$ $\displaystyle 1\frac{1}{4}=\frac{5}{4}$

Then put your whole number over $\displaystyle 1$ to make it a fraction, and multiply like normal.

$\frac{12}{1}\times\frac{5}{4}=\frac{60}{4}$ $\displaystyle \frac{12}{1}\times\frac{5}{4}=\frac{60}{4}$

Finally, reduce to find your final answer.

$\frac{60}{4}=15$ $\displaystyle \frac{60}{4}=15$

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Example Question #501 : Number & Operations With Fractions

Hannah is trying out for the track team this year. On Monday she ran $\displaystyle 15$ laps. On Tuesday she runs $1\tfrac{1}{4}$ $\displaystyle 1\tfrac{1}{4}$ times as many laps as she did on Monday. How many laps does she run on Tuesday?

Possible Answers:

$30\ laps$ $\displaystyle 30\ laps$

$18\frac{1}{4}\ laps$ $\displaystyle 18\frac{1}{4}\ laps$

$75\ laps$ $\displaystyle 75\ laps$

$18\frac{1}{2}\ laps$ $\displaystyle 18\frac{1}{2}\ laps$

$18\frac{3}{2}\ laps$ $\displaystyle 18\frac{3}{2}\ laps$

Correct answer:

$18\frac{1}{2}\ laps$ $\displaystyle 18\frac{1}{2}\ laps$

Explanation:

$1\frac{1}{4}=\frac{5}{4}$ $\displaystyle 1\frac{1}{4}=\frac{5}{4}$

Then put your whole number over $\displaystyle 1$ to make it a fraction, and multiply like normal.

$\frac{15}{1}\times\frac{5}{4}=\frac{75}{4}$ $\displaystyle \frac{15}{1}\times\frac{5}{4}=\frac{75}{4}$

Finally, reduce to find your final answer.

$\frac{75}{4}=18\frac{2}{4}$ $\displaystyle \frac{75}{4}=18\frac{2}{4}$

$\frac{2}{4}\div\frac{2}{2}=\frac{1}{2}$ $\displaystyle \frac{2}{4}\div\frac{2}{2}=\frac{1}{2}$

$18\frac{1}{2}$ $\displaystyle 18\frac{1}{2}$

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Example Question #783 : Fractions

Hannah is trying out for the track team this year. On Monday she ran $\displaystyle 20$ laps. On Tuesday she runs $1\tfrac{1}{4}$ $\displaystyle 1\tfrac{1}{4}$ times as many laps as she did on Monday. How many laps does she run on Tuesday?

Possible Answers:

$22\ laps$ $\displaystyle 22\ laps$

$40\frac{1}{4}\ laps$ $\displaystyle 40\frac{1}{4}\ laps$

$24\frac{1}{4}\ laps$ $\displaystyle 24\frac{1}{4}\ laps$

$25\ laps$ $\displaystyle 25\ laps$

$40\ laps$ $\displaystyle 40\ laps$

Correct answer:

$25\ laps$ $\displaystyle 25\ laps$

Explanation:

$1\frac{1}{4}=\frac{5}{4}$ $\displaystyle 1\frac{1}{4}=\frac{5}{4}$

Then put your whole number over $\displaystyle 1$ to make it a fraction, and multiply like normal.

$\frac{20}{1}\times\frac{5}{4}=\frac{100}{4}$ $\displaystyle \frac{20}{1}\times\frac{5}{4}=\frac{100}{4}$

Finally, reduce to find your final answer.

$\frac{100}{4}=25$ $\displaystyle \frac{100}{4}=25$

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Example Question #502 : Number & Operations With Fractions

Hannah is trying out for the track team this year. On Monday she ran $\displaystyle 7$ laps. On Tuesday she runs $1\tfrac{1}{4}$ $\displaystyle 1\tfrac{1}{4}$ times as many laps as she did on Monday. How many laps does she run on Tuesday?

Possible Answers:

$8\frac{3}{4}\ laps$ $\displaystyle 8\frac{3}{4}\ laps$

$32\ laps$ $\displaystyle 32\ laps$

$35\ laps$ $\displaystyle 35\ laps$

$9\frac{3}{4}\ laps$ $\displaystyle 9\frac{3}{4}\ laps$

$12\frac{1}{4}\ laps$ $\displaystyle 12\frac{1}{4}\ laps$

Correct answer:

$8\frac{3}{4}\ laps$ $\displaystyle 8\frac{3}{4}\ laps$

Explanation:

$1\frac{1}{4}=\frac{5}{4}$ $\displaystyle 1\frac{1}{4}=\frac{5}{4}$

Then put your whole number over $\displaystyle 1$ to make it a fraction, and multiply like normal.

$\frac{7}{1}\times\frac{5}{4}=\frac{35}{4}$ $\displaystyle \frac{7}{1}\times\frac{5}{4}=\frac{35}{4}$

Finally, reduce to find your final answer.

$\frac{35}{4}=8\frac{3}{4}$ $\displaystyle \frac{35}{4}=8\frac{3}{4}$

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Example Question #784 : Fractions

Hannah is trying out for the track team this year. On Monday she ran $\displaystyle 5$ laps. On Tuesday she runs $1\tfrac{1}{4}$ $\displaystyle 1\tfrac{1}{4}$ times as many laps as she did on Monday. How many laps does she run on Tuesday?

Possible Answers:

$10\ laps$ $\displaystyle 10\ laps$

$20\ laps$ $\displaystyle 20\ laps$

$6\frac{1}{4}\ laps$ $\displaystyle 6\frac{1}{4}\ laps$

$6\ laps$ $\displaystyle 6\ laps$

$10\frac{3}{4}\ laps$ $\displaystyle 10\frac{3}{4}\ laps$

Correct answer:

$6\frac{1}{4}\ laps$ $\displaystyle 6\frac{1}{4}\ laps$

Explanation:

$1\frac{1}{4}=\frac{5}{4}$ $\displaystyle 1\frac{1}{4}=\frac{5}{4}$

Then put your whole number over $\displaystyle 1$ to make it a fraction, and multiply like normal.

$\frac{5}{1}\times\frac{5}{4}=\frac{25}{4}$ $\displaystyle \frac{5}{1}\times\frac{5}{4}=\frac{25}{4}$

Finally, reduce to find your final answer.

$\frac{25}{4}=6\frac{1}{4}$ $\displaystyle \frac{25}{4}=6\frac{1}{4}$

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Example Question #503 : Number & Operations With Fractions

Hannah is trying out for the track team this year. On Monday she ran $\displaystyle 3$ laps. On Tuesday she runs $1\tfrac{1}{4}$ $\displaystyle 1\tfrac{1}{4}$ times as many laps as she did on Monday. How many laps does she run on Tuesday?

Possible Answers:

$5\ laps$ $\displaystyle 5\ laps$

$7\ laps$ $\displaystyle 7\ laps$

$12\ laps$ $\displaystyle 12\ laps$

$3\frac{3}{4}\ laps$ $\displaystyle 3\frac{3}{4}\ laps$

$12\frac{1}{4}\ laps$ $\displaystyle 12\frac{1}{4}\ laps$

Correct answer:

$3\frac{3}{4}\ laps$ $\displaystyle 3\frac{3}{4}\ laps$

Explanation:

$1\frac{1}{4}=\frac{5}{4}$ $\displaystyle 1\frac{1}{4}=\frac{5}{4}$

Then put your whole number over $\displaystyle 1$ to make it a fraction, and multiply like normal.

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

Finally, reduce to find your final answer.

$\frac{15}{4}=3\frac{3}{4}$ $\displaystyle \frac{15}{4}=3\frac{3}{4}$

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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 #778 : Fractions

Example Question #779 : Fractions

Example Question #780 : Fractions

Example Question #781 : Fractions

Example Question #782 : Fractions

Example Question #501 : Number & Operations With Fractions

Example Question #783 : Fractions

Example Question #502 : Number & Operations With Fractions

Example Question #784 : Fractions

Example Question #503 : Number & Operations With Fractions

All SSAT Middle Level Math Resources

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