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HSPT Math : HSPT Mathematics

Study concepts, example questions & explanations for HSPT Math

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6 Diagnostic Tests 130 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #307 : Arithmetic

$\small 2 \frac{1}{5} \div 1 \frac{2}{4}=$

Possible Answers:

$\small 4$

$\small 1 \frac{7}{15}$

$\small 2 \frac{1}{10}$

$\small 3 \frac{3}{10}$

Correct answer:

$\small 1 \frac{7}{15}$

Explanation:

To solve:

First, turn the mixed fractions into improper fractions.

$\small \small \small \frac{11}{5}\div \frac{6}{4}=$

Then, change the operation to multiplication and flip the second fraction. Solve accordingly and simplify the answer if possible.

$\small \small \frac{11}{5}\cdot \frac{4}{6}=$

The answer is $\small 1\frac{7}{15}$ .

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Example Question #901 : Hspt Mathematics

What is $\frac{3}{5}$ divided by $\frac{3}{25}$ ?

Possible Answers:

$\frac{1}{5}$

$\frac{3}{5}$

Correct answer:

Explanation:

$\frac{3}{5}\div\frac{3}{25}=\frac{3}{5}\cdo*\frac{25}{3}=5$

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Example Question #902 : Hspt Mathematics

Evaluate:

$\frac{\frac{2}{7}}{\frac{9}{14}}$

Possible Answers:

$\frac{4}{9}$

$\frac{13}{14}$

$\frac{49}{9}$

$\frac{9}{4}$

$\frac{9}{4 9}$

Correct answer:

$\frac{4}{9}$

Explanation:

Rewrite this horizontally as a division expression, rewrite as a product, cross-cancel, and multply across:

$\frac{\frac{2}{7}}{\frac{9}{14}}$ $= \frac{2}{7} \div \frac{9}{14} = \frac{2}{7} \cdot \frac{14}{9} = \frac{2}{1} \cdot \frac{2}{9} = \frac{2\cdot 2}{1\cdot 9} =\frac{4}{9}$

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Example Question #903 : Hspt Mathematics

$\frac{2}{5}\div 2\frac{3}{5}=$

Possible Answers:

$\frac{2}{13}$

$\frac{13}{2}$

$2\frac{6}{25}$

$1\frac{1}{25}$

Correct answer:

$\frac{2}{13}$

Explanation:

First, convert each fraction into an improper fraction

$\frac{2}{5}\div 2\frac{3}{5}=\frac{2}{5}\div \frac{13}{5}=$

Then, change the operation to mulitplication and flip the second fraction:

$\frac{2}{5}*\frac{5}{13}=$

Reduce and solve accordingly:

Answer: $\frac{2}{13}$

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Example Question #904 : Hspt Mathematics

$\dpi{100} 9\div \frac{1}{7}=$

Possible Answers:

$\dpi{100} \frac{9}{7}$

$\dpi{100} 1$

$\dpi{100} \frac{7}{9}$

$\dpi{100} 63$

Correct answer:

$\dpi{100} 63$

Explanation:

We never actually divide fractions. When given a division problem, you multiply by the reciprocal of the 2nd fraction.

So, $\dpi{100} 9\div \frac{1}{7}$ becomes $\dpi{100} 9\times \frac{7}{1}$ .

This is the same as $\dpi{100} 9\times7=63$

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Example Question #905 : Hspt Mathematics

Divide: $0.17 \div 32$

Possible Answers:

0.0053125

0.53125

0.001882

0.053125

0.01882

Correct answer:

0.0053125

Explanation:

Simply use the long division process. The quotient will be:

$0.17 \div 32 = 0.0053125$

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Example Question #906 : Hspt Mathematics

Solve:

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

Possible Answers:

$\frac{4}{9}$

$\frac{9}{4}$

$\frac{1}{4}$

Correct answer:

$\frac{9}{4}$

Explanation:

$\frac{3}{4}\div\frac{1}{3}=\frac{3}{4}\times\frac{3}{1}=\frac{9}{4}$

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Example Question #907 : Hspt Mathematics

Simplify: $\frac{\frac{2}{7}}{\frac{9}{14}}$

Possible Answers:

$\frac{2}{9}$

$\frac{5}{14}$

$\frac{4}{9}$

$\frac{13}{14}$

$\frac{9}{49}$

Correct answer:

$\frac{4}{9}$

Explanation:

Rewrite this as a division, dividing the numerator by the denominator:

$\frac{\frac{2}{7}}{\frac{9}{14}} = \frac{2}{7} \div \frac{9}{14} = \frac{2}{7} \times \frac{14}{9}= \frac{2}{1} \times \frac{2}{9}=\frac{2 \times 2}{1 \times 9}= \frac{4}{9}$

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Example Question #908 : Hspt Mathematics

Simplify:

$\frac{\frac{2}{5}}{\frac{7}{10}}$

Possible Answers:

$\frac{7}{4}$

$\frac{7}{25}$

$\frac{4}{7}$

$\frac{11}{10}$

$\frac{25}{7}$

Correct answer:

$\frac{4}{7}$

Explanation:

Rewrite as a division, then solve:

$\frac{\frac{2}{5}}{\frac{7}{10}} = \frac{2}{5} \div \frac{7}{10} = \frac{2}{5} \times \frac{10}{7} = \frac{2}{1} \times \frac{2}{7} = \frac{4}{7}$

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Example Question #316 : Concepts

Simplify:

$\frac{ 2 \frac{1}{5}}{7 \frac{1}{3}}$

Possible Answers:

$\frac{4}{15}$

$\frac{1}{30}$

$3\frac{1}{3}$

$\frac{3}{10}$

Correct answer:

$\frac{3}{10}$

Explanation:

Rewrite as a division, then solve:

$\frac{ 2 \frac{1}{5}}{7 \frac{1}{3}}$

$= 2 \frac{1}{5} \div 7 \frac{1}{3}$

$= \frac{1+ 2 \times 5}{5} \div \frac{1+ 7 \times 3}{3}$

$= \frac{11}{5} \div \frac{22}{3}$

$= \frac{11}{5} \times \frac{3}{22}$

$= \frac{1}{5} \times \frac{3}{2} = \frac{1 \times 3}{5 \times 2} = \frac{3}{10}$

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HSPT Math : HSPT Mathematics

Study concepts, example questions & explanations for HSPT Math

All HSPT Math Resources

Example Questions

Example Question #307 : Arithmetic

Example Question #901 : Hspt Mathematics

Example Question #902 : Hspt Mathematics

Example Question #903 : Hspt Mathematics

Example Question #904 : Hspt Mathematics

Example Question #905 : Hspt Mathematics

Example Question #906 : Hspt Mathematics

Example Question #907 : Hspt Mathematics

Example Question #908 : Hspt Mathematics

Example Question #316 : Concepts

All HSPT Math Resources

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