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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 #73 : Build Fractions From Unit Fractions

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

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

$2\times\frac{1}{3}$ $\displaystyle 2\times\frac{1}{3}$ means the same thing as adding $\frac{1}{3}$ $\displaystyle \frac{1}{3}$ two times.

On our number line, we can make $\displaystyle 2$ jumps of $\frac{1}{3}$ $\displaystyle \frac{1}{3}$

2 3 number line

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Example Question #71 : Build Fractions From Unit Fractions

$9\times\frac{1}{3}=$ $\displaystyle 9\times\frac{1}{3}=$

Possible Answers:

$\frac{8}{3}=2\frac{2}{3}$ $\displaystyle \frac{8}{3}=2\frac{2}{3}$

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

$\frac{6}{3}=2$ $\displaystyle \frac{6}{3}=2$

$\frac{7}{3}=2\frac{1}{3}$ $\displaystyle \frac{7}{3}=2\frac{1}{3}$

$\frac{9}{3}=3$ $\displaystyle \frac{9}{3}=3$

Correct answer:

$\frac{9}{3}=3$ $\displaystyle \frac{9}{3}=3$

Explanation:

$9\times\frac{1}{3}$ $\displaystyle 9\times\frac{1}{3}$ means the same thing as adding $\frac{1}{3}$ $\displaystyle \frac{1}{3}$ nine times.

On our number line, we can make $\displaystyle 9$ jumps of $\frac{1}{3}$ $\displaystyle \frac{1}{3}$

9 3 number line

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Example Question #75 : Build Fractions From Unit Fractions

$7\times\frac{1}{3}=$ $\displaystyle 7\times\frac{1}{3}=$

Possible Answers:

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

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

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

$\frac{6}{3}=2$ $\displaystyle \frac{6}{3}=2$

$\frac{7}{3}=2\frac{1}{3}$ $\displaystyle \frac{7}{3}=2\frac{1}{3}$

Correct answer:

$\frac{7}{3}=2\frac{1}{3}$ $\displaystyle \frac{7}{3}=2\frac{1}{3}$

Explanation:

$7\times\frac{1}{3}$ $\displaystyle 7\times\frac{1}{3}$ means the same thing as adding $\frac{1}{3}$ $\displaystyle \frac{1}{3}$ seven times.

On our number line, we can make $\displaystyle 7$ jumps of $\frac{1}{3}$ $\displaystyle \frac{1}{3}$

7 3 number line

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Example Question #21 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

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

Possible Answers:

$\frac{2}{4}$ $\displaystyle \frac{2}{4}$

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

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

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

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

Correct answer:

$\frac{2}{4}$ $\displaystyle \frac{2}{4}$

Explanation:

$2\times\frac{1}{4}$ $\displaystyle 2\times\frac{1}{4}$ means the same thing as adding $\frac{1}{4}$ $\displaystyle \frac{1}{4}$ two times.

On our number line, we can make $\displaystyle 2$ jumps of $\frac{1}{4}$ $\displaystyle \frac{1}{4}$

2 4 number line

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Example Question #72 : Build Fractions From Unit Fractions

$9\times\frac{1}{4}=$ $\displaystyle 9\times\frac{1}{4}=$

Possible Answers:

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

$\frac{9}{4}=2\frac{1}{4}$ $\displaystyle \frac{9}{4}=2\frac{1}{4}$

$\frac{8}{4}=2$ $\displaystyle \frac{8}{4}=2$

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

$\frac{10}{4}=2\frac{2}{4}$ $\displaystyle \frac{10}{4}=2\frac{2}{4}$

Correct answer:

$\frac{9}{4}=2\frac{1}{4}$ $\displaystyle \frac{9}{4}=2\frac{1}{4}$

Explanation:

$9\times\frac{1}{4}$ $\displaystyle 9\times\frac{1}{4}$ means the same thing as adding $\frac{1}{4}$ $\displaystyle \frac{1}{4}$ nine times.

On our number line, we can make $\displaystyle 9$ jumps of $\frac{1}{4}$ $\displaystyle \frac{1}{4}$

9 4 number line

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Example Question #22 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

$11\times\frac{1}{4}=$ $\displaystyle 11\times\frac{1}{4}=$

Possible Answers:

$\frac{11}{4}=2\frac{3}{4}$ $\displaystyle \frac{11}{4}=2\frac{3}{4}$

$\frac{14}{4}=3\frac{2}{4}$ $\displaystyle \frac{14}{4}=3\frac{2}{4}$

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

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

$\frac{12}{4}=3$ $\displaystyle \frac{12}{4}=3$

Correct answer:

$\frac{11}{4}=2\frac{3}{4}$ $\displaystyle \frac{11}{4}=2\frac{3}{4}$

Explanation:

$11\times\frac{1}{4}$ $\displaystyle 11\times\frac{1}{4}$ means the same thing as adding $\frac{1}{4}$ $\displaystyle \frac{1}{4}$ eleven times.

On our number line, we can make $\displaystyle 11$ jumps of $\frac{1}{4}$ $\displaystyle \frac{1}{4}$

11 4 number line

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Example Question #611 : Common Core Math: Grade 4

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

Possible Answers:

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

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

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

$\frac{3}{5}$ $\displaystyle \frac{3}{5}$

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

Correct answer:

$\frac{3}{5}$ $\displaystyle \frac{3}{5}$

Explanation:

$3\times\frac{1}{5}$ $\displaystyle 3\times\frac{1}{5}$ means the same thing as adding $\frac{1}{5}$ $\displaystyle \frac{1}{5}$ three times.

On our number line, we can make $\displaystyle 3$ jumps of $\frac{1}{5}$ $\displaystyle \frac{1}{5}$

3 5 number line

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Example Question #31 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

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

Possible Answers:

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

$\frac{3}{5}$ $\displaystyle \frac{3}{5}$

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

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

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

Correct answer:

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

Explanation:

$4\times\frac{1}{5}$ $\displaystyle 4\times\frac{1}{5}$ means the same thing as adding $\frac{1}{5}$ $\displaystyle \frac{1}{5}$ four times.

On our number line, we can make $\displaystyle 4$ jumps of $\frac{1}{5}$ $\displaystyle \frac{1}{5}$

4 5 number line

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Example Question #32 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

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

Possible Answers:

$\frac{3}{5}$ $\displaystyle \frac{3}{5}$

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

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

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

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

Correct answer:

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

Explanation:

$5\times\frac{1}{5}$ $\displaystyle 5\times\frac{1}{5}$ means the same thing as adding $\frac{1}{5}$ $\displaystyle \frac{1}{5}$ five times.

On our number line, we can make $\displaystyle 5$ jumps of $\frac{1}{5}$ $\displaystyle \frac{1}{5}$

5 5 number line

Report an Error

Example Question #33 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

$3\times\frac{1}{6}=$ $\displaystyle 3\times\frac{1}{6}=$

Possible Answers:

$\frac{3}{6}$ $\displaystyle \frac{3}{6}$

$\frac{5}{6}$ $\displaystyle \frac{5}{6}$

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

$\frac{2}{6}$ $\displaystyle \frac{2}{6}$

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

Correct answer:

$\frac{3}{6}$ $\displaystyle \frac{3}{6}$

Explanation:

$3\times\frac{1}{6}$ $\displaystyle 3\times\frac{1}{6}$ means the same thing as adding $\frac{1}{6}$ $\displaystyle \frac{1}{6}$ three times.

On our number line, we can make $\displaystyle 3$ jumps of $\frac{1}{6}$ $\displaystyle \frac{1}{6}$

3 6 number line

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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 #73 : Build Fractions From Unit Fractions

Example Question #71 : Build Fractions From Unit Fractions

Example Question #75 : Build Fractions From Unit Fractions

Example Question #21 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

Example Question #72 : Build Fractions From Unit Fractions

Example Question #22 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

Example Question #611 : Common Core Math: Grade 4

Example Question #31 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

Example Question #32 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

Example Question #33 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

All SSAT Middle Level Math Resources

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