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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

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Example Questions

Example Question #492 : Number & Operations With Fractions

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

Possible Answers:

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

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

$30\ laps$

$32\ laps$

$21\ laps$

Correct answer:

$21\ laps$

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.

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

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

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

Finally, reduce to find your final answer.

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

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Example Question #781 : Fractions

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

Possible Answers:

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

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

$25\ laps$

$19\ laps$

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

Correct answer:

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

Explanation:

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

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

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

Finally, reduce to find your final answer.

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

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Example Question #1261 : Numbers And Operations

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

Possible Answers:

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

$15\ laps$

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

$48\ laps$

$24\ laps$

Correct answer:

$15\ laps$

Explanation:

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

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

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

Finally, reduce to find your final answer.

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

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Example Question #1261 : Numbers And Operations

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

Possible Answers:

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

$30\ laps$

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

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

$75\ laps$

Correct answer:

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

Explanation:

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

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

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

Finally, reduce to find your final answer.

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

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

$18\frac{1}{2}$

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Example Question #782 : Fractions

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

Possible Answers:

$40\ laps$

$25\ laps$

$22\ laps$

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

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

Correct answer:

$25\ laps$

Explanation:

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

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

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

Finally, reduce to find your final answer.

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

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Example Question #263 : How To Multiply Fractions

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

Possible Answers:

$32\ laps$

$35\ laps$

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

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

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

Correct answer:

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

Explanation:

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

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

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

Finally, reduce to find your final answer.

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

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Example Question #783 : Fractions

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

Possible Answers:

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

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

$6\ laps$

$10\ laps$

$20\ laps$

Correct answer:

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

Explanation:

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

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

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

Finally, reduce to find your final answer.

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

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Example Question #784 : Fractions

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

Possible Answers:

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

$12\ laps$

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

$5\ laps$

$7\ laps$

Correct answer:

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

Explanation:

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

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

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

Finally, reduce to find your final answer.

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

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Example Question #785 : Fractions

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

Possible Answers:

$39\ laps$

$36\frac{1}{4}\ laps$

$35\ laps$

$34\ laps$

$36\frac{3}{4}\ laps$

Correct answer:

$39\ laps$

Explanation:

$3\frac{1}{4}=\frac{13}{4}$

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

$\frac{12}{1}\times\frac{13}{4}=\frac{156}{4}$

Finally, reduce to find your final answer.

$\frac{156}{4}=39$

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Example Question #786 : Fractions

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

Possible Answers:

$14\ laps$

$12\ laps$

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

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

$9\frac{1}{4}\ laps$

Correct answer:

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

Explanation:

$3\frac{1}{4}=\frac{13}{4}$

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

$\frac{3}{1}\times\frac{13}{4}=\frac{39}{4}$

Finally, reduce to find your final answer.

$\frac{39}{4}=9\frac{3}{4}$

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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 #492 : Number & Operations With Fractions

Example Question #781 : Fractions

Example Question #1261 : Numbers And Operations

Example Question #1261 : Numbers And Operations

Example Question #782 : Fractions

Example Question #263 : How To Multiply Fractions

Example Question #783 : Fractions

Example Question #784 : Fractions

Example Question #785 : Fractions

Example Question #786 : Fractions

All SSAT Middle Level Math Resources

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