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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

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Example Questions

Example Question #521 : Numbers And Operations

Simplify the expression.

$\frac{3}{4}\div \frac{1}{2}$

Possible Answers:

$\frac{3}{6}$

$\frac{3}{8}$

$\frac{1}{3}$

$\frac{3}{2}$

$\frac{5}{4}$

Correct answer:

$\frac{3}{2}$

Explanation:

When dividing fractions you can simply mulitply the reciprocal of one of the fractions to the other. For example:

$\frac{3}{4}\div \frac{1}{2}= \frac{3}{4}\times \frac{2}{1}= \frac{6}{4}=\frac{3}{2}$

So we in the above case we took the reciprocal of 1/2 which is 2.

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Example Question #1 : Solve Word Problems Involving Division Of Whole Numbers Leading To Answers In The Form Of Fractions Or Mixed Numbers: Ccss.Math.Content.5.Nf.B.3

$\small 4$ people are sharing a $\small 23$ pound bag of peanuts. How much will each person get? Select the answer with the pair of numbers that the answer will be between.

Possible Answers:

and $\small 6$

$\small 6$ and $\small 7$

$\small 2$ and $\small 3$

$\small 4$ and $\small 5$

$\small 3$ and $\small 4$

Correct answer:

and $\small 6$

Explanation:

We can think of this problem as an improper fraction and solve for the mixed number.

$\small \frac{23}{4}=5\frac{3}4{}$

$\small 4$ can go into $\small 23$ only $\small 5$ times with $\small \frac{3}{4}$ left over.

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Example Question #531 : Numbers And Operations

$\small 6$ people are sharing a $\small \small 37$ pound bag of peanuts. How much will each person get? Select the answer with the pair of numbers that the answer will be between.

Possible Answers:

$\small 7$ and $\small 8$

$\small 4$ and $\small 5$

$\small 6$ and $\small 7$

$\small 5$ and $\small 6$

$\small 8$ and $\small 9$

Correct answer:

$\small 6$ and $\small 7$

Explanation:

We can think of this problem as an improper fraction and solve for the mixed number.

$\small \frac{37}{6}=6\frac{1}{6}$

$\small 6$ can go into $\small 37$ only $\small 6$ times with $\small \frac{1}{6}$ left over.

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Example Question #2 : Solve Word Problems Involving Division Of Whole Numbers Leading To Answers In The Form Of Fractions Or Mixed Numbers: Ccss.Math.Content.5.Nf.B.3

$\small 5$ people are sharing a $\small 43$ pound bag of peanuts. How much will each person get? Select the answer with the pair of numbers that the answer will be between.

Possible Answers:

$\small 12$ and $\small 13$

$\small 11$ and $\small 12$

$\small 10$ and $\small 11$

$\small 8$ and $\small 9$

$\small 9$ and

Correct answer:

$\small 8$ and $\small 9$

Explanation:

We can think of this problem as an improper fraction and solve for the mixed number.

$\small \frac{43}{5}=8\frac{3}{5}$

$\small 5$ can go into $\small 43$ only $\small 8$ times with $\small \frac{3}{5}$ left over.

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Example Question #1 : Solve Word Problems Involving Division Of Whole Numbers Leading To Answers In The Form Of Fractions Or Mixed Numbers: Ccss.Math.Content.5.Nf.B.3

$\small 9$ people are sharing a $\small 82$ pound bag of peanuts. How much will each person get? Select the answer with the pair of numbers that the answer will be between.

Possible Answers:

$\small 8$ and $\small 9$

$\small 10$ and $\small 11$

$\small 7$ and $\small 8$

$\small 9$ and $\small 10$

$\small 6$ and $\small 7$

Correct answer:

$\small 9$ and $\small 10$

Explanation:

We can think of this problem as an improper fraction and solve for the mixed number.

$\small \frac{82}{9}=9\frac{1}{9}$

$\small 9$ and go into $\small 82$ only $\small 9$ times and $\small \frac{1}{9}$ will be left over.

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Example Question #1 : Solve Word Problems Involving Division Of Whole Numbers Leading To Answers In The Form Of Fractions Or Mixed Numbers: Ccss.Math.Content.5.Nf.B.3

$\small 8$ people are sharing a $\small 42$ pound bag of peanuts. How much will each person get? Select the answer with the pair of numbers that the answer will be between.

Possible Answers:

$\small 7$ and $\small 8$

$\small 9$ and $\small 10$

$\small 8$ and $\small 9$

$\small 6$ and $\small 7$

$\small 5$ and $\small 6$

Correct answer:

$\small 5$ and $\small 6$

Explanation:

We can think of this problem as an improper fraction and solve for the mixed number.

$\small \frac{42}{8}=5\frac{2}{8}$

$\small 8$ can go into $\small 42$ only $\small 5$ times with $\small \frac{2}{8}$ left over.

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Example Question #2 : Solve Word Problems Involving Division Of Whole Numbers Leading To Answers In The Form Of Fractions Or Mixed Numbers: Ccss.Math.Content.5.Nf.B.3

$\small 3$ people are sharing a $\small 34$ pound bag of peanuts. How much will each person get? Select the answer with the pair of numbers that the answer will be between.

Possible Answers:

$\small 11$ and $\small 12$

$\small 10$ and $\small 11$

$\small 8$ and $\small 9$

$\small 12$ and $\small 13$

$\small 9$ and $\small 10$

Correct answer:

$\small 11$ and $\small 12$

Explanation:

We can think of this problem as an improper fraction and solve for the mixed number.

$\small \frac{34}{3}=11\frac{1}{3}$

$\small 3$ can go into $\small 34$ only $\small 11$ times with $\small \frac{1}{3}$ left over.

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Example Question #3 : Solve Word Problems Involving Division Of Whole Numbers Leading To Answers In The Form Of Fractions Or Mixed Numbers: Ccss.Math.Content.5.Nf.B.3

$\small 4$ people are sharing a $\small 39$ pound bag of peanuts. How much will each person get? Select the answer with the pair of numbers that the answer will be between.

Possible Answers:

$\small 11$ and $\small 12$

$\small 9$ and $\small 10$

$\small 8$ and $\small 9$

$\small 10$ and $\small 11$

$\small 7$ and $\small 8$

Correct answer:

$\small 9$ and $\small 10$

Explanation:

We can think of this problem as an improper fraction and solve for the mixed number.

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

$\small 4$ can go into $\small 39$ only $\small 9$ times with $\small \frac{3}{4}$ left over.

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Example Question #4 : Solve Word Problems Involving Division Of Whole Numbers Leading To Answers In The Form Of Fractions Or Mixed Numbers: Ccss.Math.Content.5.Nf.B.3

$\small 5$ people are sharing a $\small 72$ pound bag of peanuts. How much will each person get? Select the answer with the pair of numbers that the answer will be between.

Possible Answers:

$\small 14$ and $\small 15$

$\small 12$ and $\small 13$

$\small 11$ and $\small 12$

$\small 10$ and $\small 11$

$\small 13$ and $\small 14$

Correct answer:

$\small 14$ and $\small 15$

Explanation:

We can think of this problem as an improper fraction and solve for the mixed number.

$\small \frac{72}{5}=14\frac{2}{5}$

$\small 5$ cand go into $\small 72$ only $\small 14$ times with $\small \frac{2}{5}$ left over.

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Example Question #5 : Solve Word Problems Involving Division Of Whole Numbers Leading To Answers In The Form Of Fractions Or Mixed Numbers: Ccss.Math.Content.5.Nf.B.3

$\small 7$ people are sharing a $\small 40$ pound bag of peanuts. How much will each person get? Select the answer with the pair of numbers that the answer will be between.

Possible Answers:

$\small 7$ and $\small 8$

$\small 6$ and $\small 7$

$\small 3$ and $\small 4$

$\small 5$ and $\small 6$

$\small 4$ and $\small 5$

Correct answer:

$\small 5$ and $\small 6$

Explanation:

We can think of this problem as an improper fraction and solve for the mixed number.

$\small \frac{40}{7}=5\frac{5}{7}$

$\small 7$ can be divided into $\small 40$ only $\small 5$ times, with $\small \frac{5}{7}$ left over.

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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 #521 : Numbers And Operations

Example Question #1 : Solve Word Problems Involving Division Of Whole Numbers Leading To Answers In The Form Of Fractions Or Mixed Numbers: Ccss.Math.Content.5.Nf.B.3

Example Question #531 : Numbers And Operations

Example Question #2 : Solve Word Problems Involving Division Of Whole Numbers Leading To Answers In The Form Of Fractions Or Mixed Numbers: Ccss.Math.Content.5.Nf.B.3

Example Question #1 : Solve Word Problems Involving Division Of Whole Numbers Leading To Answers In The Form Of Fractions Or Mixed Numbers: Ccss.Math.Content.5.Nf.B.3

Example Question #1 : Solve Word Problems Involving Division Of Whole Numbers Leading To Answers In The Form Of Fractions Or Mixed Numbers: Ccss.Math.Content.5.Nf.B.3

Example Question #2 : Solve Word Problems Involving Division Of Whole Numbers Leading To Answers In The Form Of Fractions Or Mixed Numbers: Ccss.Math.Content.5.Nf.B.3

Example Question #3 : Solve Word Problems Involving Division Of Whole Numbers Leading To Answers In The Form Of Fractions Or Mixed Numbers: Ccss.Math.Content.5.Nf.B.3

Example Question #4 : Solve Word Problems Involving Division Of Whole Numbers Leading To Answers In The Form Of Fractions Or Mixed Numbers: Ccss.Math.Content.5.Nf.B.3

Example Question #5 : Solve Word Problems Involving Division Of Whole Numbers Leading To Answers In The Form Of Fractions Or Mixed Numbers: Ccss.Math.Content.5.Nf.B.3

All SSAT Middle Level Math Resources

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