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

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:

None

One

Four

Three

Two

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 #834 : Fractions

Arrange these numbers from least to greatest:

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

Possible Answers:

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

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

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

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

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

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

Express 0.44 as a fraction in simplest form.

Possible Answers:

$\frac{22}{45}$

$\frac{22}{50}$

$\frac{11}{20}$

$\frac{11}{25}$

$\frac{11}{24}$

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

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

Possible Answers:

0.766

$0.7\overline{6}$

$0.\overline{7}$

0.69

$0.76\overline{7}$

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 #1 : Use Decimal Notation For Fractions With Denominators 10 Or 100: Ccss.Math.Content.4.Nf.C.6

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

Possible Answers:

57.00

50.7

5.7

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 #1 : Use Decimal Notation For Fractions With Denominators 10 Or 100: Ccss.Math.Content.4.Nf.C.6

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

Possible Answers:

6.9

69.9

69.09

60.9

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 #105 : Use Decimal Notation For Fractions With Denominators 10 Or 100: Ccss.Math.Content.4.Nf.C.6

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

Possible Answers:

7.5

70.5

75.01

75.05

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 #106 : Use Decimal Notation For Fractions With Denominators 10 Or 100: Ccss.Math.Content.4.Nf.C.6

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

Possible Answers:

9.2

9.02

90.02

90.2

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

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

Possible Answers:

10.08

1.8

10.8

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

Example Question #838 : Fractions

Example Question #834 : Fractions

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

Example Question #21 : How To Find The Decimal Equivalent Of A Fraction

Example Question #1 : Use Decimal Notation For Fractions With Denominators 10 Or 100: Ccss.Math.Content.4.Nf.C.6

Example Question #1 : Use Decimal Notation For Fractions With Denominators 10 Or 100: Ccss.Math.Content.4.Nf.C.6

Example Question #105 : Use Decimal Notation For Fractions With Denominators 10 Or 100: Ccss.Math.Content.4.Nf.C.6

Example Question #106 : Use Decimal Notation For Fractions With Denominators 10 Or 100: Ccss.Math.Content.4.Nf.C.6

Example Question #26 : How To Find The Decimal Equivalent Of A Fraction

All SSAT Middle Level Math Resources

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