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SSAT Middle Level Math : Numbers and Operations

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

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Example Questions

Example Question #761 : Common Core Math: Grade 4

Select the decimal that is equivalent to $\frac{12}{100}$ $\displaystyle \frac{12}{100}$

Possible Answers:

$\displaystyle .12$

12.12 $\displaystyle 12.12$

1.2 $\displaystyle 1.2$

$\displaystyle .012$

10.2 $\displaystyle 10.2$

Correct answer:

$\displaystyle .12$

Explanation:

$\frac{12}{100}$ $\displaystyle \frac{12}{100}$ is twelve hundredths.

$\displaystyle .12$ is twelve 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 #1331 : Numbers And Operations

What decimal is equivalent to $\frac{62}{100}?$ $\displaystyle \frac{62}{100}?$

Possible Answers:

$\displaystyle .062$

62.0 $\displaystyle 62.0$

6.2 $\displaystyle 6.2$

$\displaystyle .62$

60.2 $\displaystyle 60.2$

Correct answer:

$\displaystyle .62$

Explanation:

$\frac{62}{100}$ $\displaystyle \frac{62}{100}$ is sixty-two hundredths.

$\displaystyle .62$ is sixty-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 #1332 : Numbers And Operations

What decimal is equivalent to $\frac{28}{100}?$ $\displaystyle \frac{28}{100}?$

Possible Answers:

28.0 $\displaystyle 28.0$

$\displaystyle .028$

20.8 $\displaystyle 20.8$

2.8 $\displaystyle 2.8$

$\displaystyle .28$

Correct answer:

$\displaystyle .28$

Explanation:

$\frac{28}{100}$ $\displaystyle \frac{28}{100}$ is twenty-eight hundredths.

$\displaystyle .28$ is twenty-eight 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 #1333 : Numbers And Operations

What decimal is equivalent to $\frac{33}{100}?$ $\displaystyle \frac{33}{100}?$

Possible Answers:

30.3 $\displaystyle 30.3$

3.3 $\displaystyle 3.3$

33.0 $\displaystyle 33.0$

$\displaystyle .33$

3.30 $\displaystyle 3.30$

Correct answer:

$\displaystyle .33$

Explanation:

$\frac{33}{100}$ $\displaystyle \frac{33}{100}$ is thirty-three hundredths.

$\displaystyle .33$ is thirty-three 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 #1334 : Numbers And Operations

What decimal is equivalent to $\frac{41}{100}?$ $\displaystyle \frac{41}{100}?$

Possible Answers:

44.1 $\displaystyle 44.1$

$\displaystyle .041$

4.1 $\displaystyle 4.1$

40.1 $\displaystyle 40.1$

$\displaystyle .41$

Correct answer:

$\displaystyle .41$

Explanation:

$\frac{41}{100}$ $\displaystyle \frac{41}{100}$ is forty-one hundredths.

$\displaystyle .41$ is forty-one 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 #1994 : Ssat Middle Level Quantitative (Math)

What is the decimal equivalent to the following fraction?

$\frac{21}{25}$ $\displaystyle \frac{21}{25}$

Possible Answers:

0.1 $\displaystyle 0.1$

0.21 $\displaystyle 0.21$

0.42 $\displaystyle 0.42$

0.63 $\displaystyle 0.63$

0.84 $\displaystyle 0.84$

Correct answer:

0.84 $\displaystyle 0.84$

Explanation:

When solving for a decimal from a fraction, you have two options. You can either do long division, and divide it out. How many times does 25 go into 21? Or the second option is setting the denominator as 100.

In this case, 25 goes into 100 evenly.

$\frac{21}{24}\times \frac{4}{4}=\frac{84}{100}$ $\displaystyle \frac{21}{24}\times \frac{4}{4}=\frac{84}{100}$.

If the denominator is 100, then the numerator is the number after the decimal point.

$\frac{84}{100}=0.84$ $\displaystyle \frac{84}{100}=0.84$.

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Example Question #1993 : Ssat Middle Level Quantitative (Math)

Write 0.74 as a fraction in lowest terms.

Possible Answers:

$\frac{37}{50}$ $\displaystyle \frac{37}{50}$

$\frac{37}{500}$ $\displaystyle \frac{37}{500}$

$\frac{74}{1,000}$ $\displaystyle \frac{74}{1,000}$

$\frac{37}{5}$ $\displaystyle \frac{37}{5}$

$\frac{74}{100}$ $\displaystyle \frac{74}{100}$

Correct answer:

$\frac{37}{50}$ $\displaystyle \frac{37}{50}$

Explanation:

This decimal has its last nonzero digit in the hundredths place; this number is equal to "seventy-four one-hundredths". As a fraction, this is

$\frac{74}{100}$ $\displaystyle \frac{74}{100}$

This is not in lowest terms, since $\displaystyle GCF (74,100) = 2$.

Reduce:

$\frac{74}{100} = \frac{74\div 2}{100\div 2} = \frac{37}{50}$ $\displaystyle \frac{74}{100} = \frac{74\div 2}{100\div 2} = \frac{37}{50}$

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Example Question #1 : Percentage

The sales tax rate for a particular locality is 9%. How much will be paid after tax for $154.92 worth of groceries?

Possible Answers:

$\$ 168.16$ $\displaystyle \$ 168.16$

$\$ 168.86$ $\displaystyle \$ 168.86$

$\$ 167.26$ $\displaystyle \$ 167.26$

$\$ 169.36$ $\displaystyle \$ 169.36$

$\$ 169.06$ $\displaystyle \$ 169.06$

Correct answer:

$\$ 168.86$ $\displaystyle \$ 168.86$

Explanation:

Multiply the price of the groceries before tax - $154.92 - by the decimal equivalent of 9% , which is 0.09. Round this tax to the nearest hundredth (cents), then add to the price of the groceries.

Tax: $\$154.92 \cdot 0.09 \approx \$13.94$ $\displaystyle \$154.92 \cdot 0.09 \approx \$13.94$

Price after tax: $\$154.92 + \$13.94 =\$168.86$ $\displaystyle \$154.92 + \$13.94 =\$168.86$

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Example Question #1 : Percentage

What is 250% of 750?

Possible Answers:

1,875 $\displaystyle 1,875$

2,250 $\displaystyle 2,250$

2,000 $\displaystyle 2,000$

2,125 $\displaystyle 2,125$

1,750 $\displaystyle 1,750$

Correct answer:

1,875 $\displaystyle 1,875$

Explanation:

Taking 250% of a number is the same as multiplying that number by 2.5. We therefore take the product:

$750 \cdot 2.5 = 1,875$ $\displaystyle 750 \cdot 2.5 = 1,875$

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Example Question #2002 : Ssat Middle Level Quantitative (Math)

The product of two whole numbers is 12. Their difference could be

Possible Answers:

$\displaystyle 2$

$\displaystyle 4$

$\displaystyle 5$

$\displaystyle 6$

$\displaystyle 3$

Correct answer:

$\displaystyle 4$

Explanation:

The first thing to do is to determine what two numbers multiply to give you 12.

1 and 12

2 and 6

3 and 4

Now find the difference between each of those pairs.

$\displaystyle 12-1 = 11$

6-2=4 $\displaystyle 6-2=4$

4-3=1 $\displaystyle 4-3=1$

The difference could be 1, 4, or 11. Only 4 is an answer choice.

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SSAT Middle Level Math : Numbers and Operations

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

All SSAT Middle Level Math Resources

Example Questions

Example Question #761 : Common Core Math: Grade 4

Example Question #1331 : Numbers And Operations

Example Question #1332 : Numbers And Operations

Example Question #1333 : Numbers And Operations

Example Question #1334 : Numbers And Operations

Example Question #1994 : Ssat Middle Level Quantitative (Math)

Example Question #1993 : Ssat Middle Level Quantitative (Math)

Example Question #1 : Percentage

Example Question #1 : Percentage

Example Question #2002 : Ssat Middle Level Quantitative (Math)

All SSAT Middle Level Math Resources

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