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SSAT Upper Level Math : Number Concepts and Operations

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

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All SSAT Upper Level Math Resources

6 Diagnostic Tests 311 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #411 : Number Concepts And Operations

Select the symbol to correctly fill in the blank below.

$\frac{2}{6}$ __________ $\frac{5}{12}$

Possible Answers:

Correct answer:

Explanation:

To compare fractions, we need to first make common denominators.

$\frac{2}{6}\times\frac{2}{2}=\frac{4}{12}$

Now that we have common denominators, we can compare numerators. The fraction with the bigger numerator has the greater value.

$\frac{4}{12}<\frac{5}{12}$

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Example Question #46 : Extend Understanding Of Fraction Equivalence And Ordering

Select the symbol to correctly fill in the blank below.

$\frac{3}{6}$ __________ $\frac{12}{24}$

Possible Answers:

Correct answer:

Explanation:

To compare fractions, we need to first make common denominators.

$\frac{3}{6}\times\frac{4}{4}=\frac{12}{24}$

Now that we have common denominators, we can compare numerators. The fraction with the bigger numerator has the greater value.

$\frac{12}{24}=\frac{12}{24}$

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Example Question #352 : Rational Numbers

Divide $6\frac{2}{7}$ by $\frac{1}{4}$ . Which of the following comes closest to the quotient?

Possible Answers:

Correct answer:

Explanation:

First convert each mixed fraction into an improper fraction. To do this, multiply the whole number by the denominator and then add it to the numerator. Then place this number of the original denominator.

$6\frac{2}{7} \div \frac{1}{4}$

$= \frac{6 \times 7+ 2}{7} \div \frac{1}{4}$

$= \frac{44}{7} \div \frac{1}{4}$

Recall that dividing by a fraction is the same as multiplying by the reciprocal.

$= \frac{44}{7} \times \frac{4}{1}$

$= \frac{44 \times 4}{7 \times 1}$

Multiply the numerators together and the denominators together.

$= \frac{176}{7 }$

Divide:

$176 \div 7 = 25 \textrm{ R }1$ ,

making 25 the closest choice.

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Example Question #1 : Compare Fractions With The Same Numerator: Ccss.Math.Content.3.Nf.A.3d

Fill in the blank with the correct symbol.

$\frac{1}{4}$ __________ $\frac{2}{4}$

Possible Answers:

Correct answer:

Explanation:

The fraction models below show $\frac{1}{}4$ and $\frac{2}{}4$

$\frac{2}{4}$ is greater than $\frac{1}{4}$ because more of the model is filled in.

$\frac{1}{4}<\frac{2}{4}$

1 4 and 2 4

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Example Question #1 : Compare Fractions With The Same Numerator: Ccss.Math.Content.3.Nf.A.3d

Fill in the blank with the correct symbol.

$\frac{1}{4}$ __________ $\frac{3}{4}$

Possible Answers:

Correct answer:

Explanation:

The fraction models below show $\frac{1}{}4$ and $\frac{3}{}4$

$\frac{3}{4}$ is greater than $\frac{1}{4}$ because more of the model is filled in.

$\frac{1}{4}<\frac{3}{4}$

1 4 and 3 4

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Example Question #3 : Compare Fractions With The Same Numerator: Ccss.Math.Content.3.Nf.A.3d

Fill in the blank with the correct symbol.

$\frac{2}{4}$ __________ $\frac{3}{4}$

Possible Answers:

Correct answer:

Explanation:

The fraction models below show $\frac{2}{4}$ and $\frac{3}{}4$

$\frac{3}{4}$ is greater than $\frac{2}{4}$ because more of the model is filled in.

$\frac{2}{4}<\frac{3}{4}$

2 4 and 3 4

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Example Question #2 : Compare Fractions With The Same Numerator: Ccss.Math.Content.3.Nf.A.3d

Fill in the blank with the correct symbol.

$\frac{2}{4}$ __________ $\frac{2}{4}$

Possible Answers:

Correct answer:

Explanation:

The fraction models below show $\frac{2}{4}$ and $\frac{2}{}4$

$\frac{2}{4}$ is equal to $\frac{2}{4}$

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

2 4 and 2 4

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Example Question #3 : Compare Fractions With The Same Numerator: Ccss.Math.Content.3.Nf.A.3d

Fill in the blank with the correct symbol.

$\frac{3}{4}$ __________ $\frac{3}{4}$

Possible Answers:

Correct answer:

Explanation:

The fraction models below show $\frac{3}{4}$ and $\frac{3}{4}$

$\frac{3}{4}$ is equal to $\frac{3}{4}$

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

3 4 and 3 4

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Example Question #44 : How To Order Fractions From Least To Greatest Or From Greatest To Least

Fill in the blank with the correct symbol.

$\frac{2}{3}$ __________ $\frac{1}{3}$

Possible Answers:

Correct answer:

Explanation:

The fraction models below show $\frac{2}{3}$ and $\frac{1}{3}$

$\frac{2}{3}$ is greater than $\frac{1}{3}$ because more of the model is filled in.

$\frac{2}{3}>\frac{1}{3}$

2 3 and 1 3

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Example Question #4 : Compare Fractions With The Same Numerator: Ccss.Math.Content.3.Nf.A.3d

Fill in the blank with the correct symbol.

$\frac{2}{6}$ __________ $\frac{1}{6}$

Possible Answers:

Correct answer:

Explanation:

The fraction models below show $\frac{2}{6}$ and $\frac{1}{6}$

$\frac{2}{6}$ is greater than $\frac{1}{6}$ because more of the model is filled in.

$\frac{2}{6}>\frac{1}{6}$

2 6 and 1 6

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All SSAT Upper Level Math Resources

6 Diagnostic Tests 311 Practice Tests Question of the Day Flashcards Learn by Concept

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SSAT Upper Level Math : Number Concepts and Operations

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

All SSAT Upper Level Math Resources

Example Questions

Example Question #411 : Number Concepts And Operations

Example Question #46 : Extend Understanding Of Fraction Equivalence And Ordering

Example Question #352 : Rational Numbers

Example Question #1 : Compare Fractions With The Same Numerator: Ccss.Math.Content.3.Nf.A.3d

Example Question #1 : Compare Fractions With The Same Numerator: Ccss.Math.Content.3.Nf.A.3d

Example Question #3 : Compare Fractions With The Same Numerator: Ccss.Math.Content.3.Nf.A.3d

Example Question #2 : Compare Fractions With The Same Numerator: Ccss.Math.Content.3.Nf.A.3d

Example Question #3 : Compare Fractions With The Same Numerator: Ccss.Math.Content.3.Nf.A.3d

Example Question #44 : How To Order Fractions From Least To Greatest Or From Greatest To Least

Example Question #4 : Compare Fractions With The Same Numerator: Ccss.Math.Content.3.Nf.A.3d

All SSAT Upper Level Math Resources

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