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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

10 Diagnostic Tests 225 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #6 : How To Find The Decimal Equivalent Of A Fraction

Write as a decimal:

$\frac{9}{11}$

Possible Answers:

0.81

$0.\overline{81}$

$0.8\overline{1}$

0.9

$0.\overline{8}$

Correct answer:

$0.\overline{81}$

Explanation:

$9 \div 11 = 0.81818181...$

That is, the group "81" will repeat infinitely. This quotient can be written as $0.\overline{81}$ .

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Example Question #7 : How To Find The Decimal Equivalent Of A Fraction

Rewrite as a decimal:

$\frac{7}{12}$

Possible Answers:

$0.\overline{53}$

$0.5\overline{3}$

$0.58\overline{3}$

0.58

0.575

Correct answer:

$0.58\overline{3}$

Explanation:

$7 \div 12 = 0.583333...$

That is, after 5 and 8, the digit 3 will repeat infinitely. This can be rewritten as $0.58\overline{3}$ .

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Example Question #8 : How To Find The Decimal Equivalent Of A Fraction

Write as a decimal:

$\frac{5}{18}$

Possible Answers:

0.27

$0.2\overline{7}$

0.2727

$0.\overline{277}$

$0.\overline{27}$

Correct answer:

$0.2\overline{7}$

Explanation:

$5 \div 18 = 0.27777...$

That is, after the 2, the digit 7 repeats infinitely. This can be rewritten as $0.2\overline{7}$ .

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Example Question #2 : How To Find The Decimal Equivalent Of A Fraction

Express $\frac{9}{20}$ as a decimal.

Possible Answers:

0.33

0.45

0.36

0.27

0.35

Correct answer:

0.45

Explanation:

Divide the numerator by the denominator:

$9 \div 20 = 0.45$

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Example Question #1971 : Ssat Middle Level Quantitative (Math)

Write as a fraction in lowest terms: $0.2\overline{6}$

Possible Answers:

$\frac {2}{15}$

$\frac {29}{99}$

$\frac {4}{15}$

$\frac {13}{50}$

$\frac {5}{33}$

Correct answer:

$\frac {4}{15}$

Explanation:

We can use algebra to find the fraction by setting $N = 0.2\overline{6}$ . Then:

$100 \cdot N = 100 \cdot 0.2666...$

100N = 26.666...

and

$10 \cdot N = 10 \cdot 0.2666...$

10N = 2.666...

Subtract as follows:

100N = 26.666...

$\underline{-10N = 2.666}$

90N = 24

$90N \div 90 = 24\div 90$

$N = \frac {24}{90} = \frac {24 \div 6}{90\div 6} = \frac {4}{15}$

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Example Question #832 : Fractions

$10 +\tfrac{3}{20}$

Possible Answers:

10.05

10.20

10.30

10.15

Correct answer:

10.15

Explanation:

The question is asking you to add the two numbers and find its equivalent in decimal form. Naturally,

$10 + \tfrac{3}{20} = 10 \tfrac{3}{20}$

We must find out how to represent $\tfrac{3}{20}$ as a decimal in order to solve the problem. To find the decimal form, divide 1.00 by 20.

$1.00 \div 20 = 0.05$

You divide by 1.00 because decimals are based off of this number (fractions are based on 1 and percents on 100%). The answer 0.05 is exactly $\tfrac{1}{20}$ . In order to figure out what the equivalent of $\tfrac{3}{20}$ is, simply multiply your answer by the numerator, 3.

$3 \times 0.05 = 0.15$

Your answer is 10.15

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Example Question #831 : Fractions

What is the decimal equivalent of $\frac{2}{5}$ ?

Possible Answers:

0.2

0.52

0.4

0.5

4.4

Correct answer:

0.4

Explanation:

To find the decimal equivalent of a fraction, convert the fraction's denominator to a factor of . In this problem, we can convert the denominator to by multiplying both the top and bottom of the fraction by :

$\frac{2}{5}\cdot\frac{2}{2}=\frac{4}{10}$ , which is equivalent to 0.4

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Example Question #1971 : Ssat Middle Level Quantitative (Math)

What is the decimal equivalent of $\frac{3}{5}$ ?

Possible Answers:

1.6

0.4

1.3

0.6

0.5

Correct answer:

0.6

Explanation:

To find the decimal equivalent of a fraction, convert the denominator of the fraction to a factor of .

$\frac{3}{5}=\frac{6}{10}$ , which is equal to 0.6 .

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Example Question #1972 : Ssat Middle Level Quantitative (Math)

Write $\frac{11}{12}$ as a decimal.

Possible Answers:

$0.9\overline{1}$

0.916

$0.91\overline{67}$

$0.91\overline{6}$

0.9167

Correct answer:

$0.91\overline{6}$

Explanation:

Divide 11 by 12.

$11 \div 12 = 0.91666...$

Note that the "6" repeats forever. This can be written as $0.91\overline{6}$ .

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Example Question #834 : Fractions

Arrange these numbers from least to greatest:

$\left \{ -0.44404, -0.44044, -0.40444, \right \}$

Possible Answers:

$\left \{ -0.44404,-0.40444, -0.44044 \right \}$

$\left \{ -0.44404, -0.44044, -0.40444 \right \}$

$\left \{ -0.40444,-0.44404, -0.44044 \right \}$

$\left \{ -0.40444 , -0.44404, -0.44044\right \}$

$\left \{ -0.40444,-0.44044, -0.44404 \right \}$

Correct answer:

$\left \{ -0.44404, -0.44044, -0.40444 \right \}$

Explanation:

To arrange negative numbers from least to greatest, we must arrange them so that their absolute values (values without the negative symbol) go from greatest to least.

$\left \{ 0.44404, 0.44044, 0.40444 \right \}$

This can be done by going from right to left starting with the units digit. The units and tenths digits are the same, but the hundredths digit of 0.40444 is the least, so this number is less than the other two. The thousandths digit of 0.44044 is less than that of 0.44404, so it is the lesser of the two that remain. Therefore, in descending order, the absolute values are

$\left \{ 0.44404, 0.44044, 0.40444 \right \}$ ,

and in ascending order, the numbers are

$\left \{ -0.44404, -0.44044, -0.40444 \right \}$ .

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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 #6 : How To Find The Decimal Equivalent Of A Fraction

Example Question #7 : How To Find The Decimal Equivalent Of A Fraction

Example Question #8 : How To Find The Decimal Equivalent Of A Fraction

Example Question #2 : How To Find The Decimal Equivalent Of A Fraction

Example Question #1971 : Ssat Middle Level Quantitative (Math)

Example Question #832 : Fractions

Example Question #831 : Fractions

Example Question #1971 : Ssat Middle Level Quantitative (Math)

Example Question #1972 : Ssat Middle Level Quantitative (Math)

Example Question #834 : Fractions

All SSAT Middle Level Math Resources

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