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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 #1981 : Ssat Middle Level Quantitative (Math)

How many of the following four numbers are elements of the set $B = \left \{ x \; | \; \frac{2}{5}< x < \frac{3}{5}\right \} ?$ ?

(A) 0.44

(B) 0.55

(D) 0.77

Possible Answers:

Four

Two

One

None

Three

Correct answer:

Two

Explanation:

$\frac{2}{5} = 2 \div 5 = 0.4$ and $\frac{3}{5} = 3 \div 5 = 0.6$ , so we are looking for numbers that fall between 0.4 and 0.6 exclusive. Of the four choices, 0.44 and 0.55 fall between these numbers. The correct response is two.

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Example Question #838 : Fractions

Arrange these numbers from least to greatest:

$\left \{ -\frac{3}{5}, -\frac{13}{20}, -\frac{16}{25} \right \}$

Possible Answers:

$\left \{ -\frac{13}{20}, -\frac{16}{25}, -\frac{3}{5} \right \}$

$\left \{ -\frac{3}{5} , -\frac{16}{25}, -\frac{13}{20} \right \}$

$\left \{ -\frac{13}{20}, -\frac{3}{5}, -\frac{16}{25} \right \}$

$\left \{-\frac{16}{25}, -\frac{13}{20}, -\frac{3}{5} \right \}$

$\left \{ -\frac{3}{5} , -\frac{13}{20}, -\frac{16}{25} \right \}$

Correct answer:

$\left \{ -\frac{13}{20}, -\frac{16}{25}, -\frac{3}{5} \right \}$

Explanation:

Rewrite all three numbers as their decimal equivalents by dividing numerator by denominator.

$-\frac{3}{5} = -3 \div 5 = -0.6$

$-\frac{13}{20} = -13 \div 20 = - 0.65$

$-\frac{16}{25} = -16 \div 25 = -0.64$

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. In descending order, the absolute values are

$\left \{ 0.65, 0.64, 0.6\right \}$

so, in ascending order, the numbers themselves are

$\left \{ -0.65,- 0.64,- 0.6\right \}$ ,

or, as fractions,

$\left \{ -\frac{13}{20}, -\frac{16}{25}, -\frac{3}{5} \right \}$ .

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Example Question #15 : How To Find The Decimal Equivalent Of A Fraction

Arrange these numbers from least to greatest:

$\left \{ \frac{6}{7}, \frac{17}{20}, \frac{9}{11} \right \}$

Possible Answers:

$\left \{\frac{9}{11}, \frac{17}{20}, \frac{6}{7}\right \}$

$\left \{ \frac{6}{7}, \frac{17}{20} ,\frac{9}{11} \right \}$

$\left \{\frac{9}{11}, \frac{6}{7} , \frac{17}{20} \right \}$

$\left \{ \frac{6}{7} ,\frac{9}{11}, \frac{17}{20} \right \}$

$\left \{ \frac{17}{20} ,\frac{6}{7}, \frac{9}{11} \right \}$

Correct answer:

$\left \{\frac{9}{11}, \frac{17}{20}, \frac{6}{7}\right \}$

Explanation:

Rewrite all three numbers as their decimal equivalents by dividing numerator by denominator.

$\frac{6}{7} = 6 \div 7 = 0.857142...$

$\frac{17}{20} = 17 \div 20 = 0.85$

$\frac{9}{11} = 9 \div 11 = 0.8181...$

From the decimal equivalents, the fractions can be arranged as follows:

$\left \{\frac{9}{11}, \frac{17}{20}, \frac{6}{7}\right \}$

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Example Question #1982 : Ssat Middle Level Quantitative (Math)

Express 0.44 as a fraction in simplest form.

Possible Answers:

$\frac{11}{20}$

$\frac{11}{25}$

$\frac{22}{50}$

$\frac{22}{45}$

$\frac{11}{24}$

Correct answer:

$\frac{11}{25}$

Explanation:

0.44 is forty-four one-hundredths, so write this as a fraction and reduce:

$\frac{44}{100} = \frac{44\div 4}{100\div 4} = \frac{11}{25}$

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Example Question #1983 : Ssat Middle Level Quantitative (Math)

Write as a decimal: $\frac{23}{30}$

Possible Answers:

$0.7\overline{6}$

$0.\overline{7}$

$0.76\overline{7}$

0.69

0.766

Correct answer:

$0.7\overline{6}$

Explanation:

Divide by :

$23 \div 30 = 0.7666...$

The 6 repeats infinitely, so this can be written as $0.7\overline{6}$

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Example Question #1984 : Ssat Middle Level Quantitative (Math)

What decimal is equivalent to $\frac{57}{100}$ ?

Possible Answers:

50.7

5.7

57.00

Correct answer:

Explanation:

$\frac{57}{100}$ is fifty-seven hundredths.

is fifty-seven hundredths. When we say a decimal, we say the number and add the place-value of the last digit.

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Example Question #1985 : Ssat Middle Level Quantitative (Math)

What decimal is equivalent to $\frac{69}{100}$ ?

Possible Answers:

69.9

6.9

60.9

69.09

Correct answer:

Explanation:

$\frac{69}{100}$ is sixty-nine hundredths.

is sixty-nine hundredths. When we say a decimal, we say the number and add the place-value of the last digit.

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Example Question #1986 : Ssat Middle Level Quantitative (Math)

What decimal is equivalent to $\frac{75}{100}$

Possible Answers:

75.01

70.5

75.05

7.5

Correct answer:

Explanation:

$\frac{75}{100}$ is seventy-five hundredths.

is seventy-five hundredths. When we say a decimal, we say the number and add the place-value of the last digit.

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Example Question #1987 : Ssat Middle Level Quantitative (Math)

What decimal is equivalent to $\frac{92}{100}$

Possible Answers:

9.02

90.02

90.2

9.2

Correct answer:

Explanation:

$\frac{92}{100}$ is ninety-two hundredths.

is ninety-two hundredths. When we say a decimal, we say the number and add the place-value of the last digit.

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Example Question #1988 : Ssat Middle Level Quantitative (Math)

What decimal is equivalent to $\frac{18}{100}$ ?

Possible Answers:

10.08

10.8

1.8

Correct answer:

Explanation:

$\frac{18}{100}$ is eighteen hundredths.

is eighteen hundredths. When we say a decimal, we say the number and add the place-value of the last digit.

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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 #1981 : Ssat Middle Level Quantitative (Math)

Example Question #838 : Fractions

Example Question #15 : How To Find The Decimal Equivalent Of A Fraction

Example Question #1982 : Ssat Middle Level Quantitative (Math)

Example Question #1983 : Ssat Middle Level Quantitative (Math)

Example Question #1984 : Ssat Middle Level Quantitative (Math)

Example Question #1985 : Ssat Middle Level Quantitative (Math)

Example Question #1986 : Ssat Middle Level Quantitative (Math)

Example Question #1987 : Ssat Middle Level Quantitative (Math)

Example Question #1988 : Ssat Middle Level Quantitative (Math)

All SSAT Middle Level Math Resources

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