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SSAT Elementary Level Math : Numbers and Operations

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

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All SSAT Elementary Level Math Resources

12 Diagnostic Tests 526 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #31 : Numbers And Operations

What is $10\%$ of ?

Possible Answers:

1.5

2.5

Correct answer:

2.5

Explanation:

$10\%$ of is calculated by multiplying by .

$.10 \times 25=2.5$

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Example Question #31 : Ssat Elementary Level Quantitative (Math)

Megan's teacher says that if Megan wants to join the girl's basketball team, she has to have at least $90\%$ of this quarter's homework turned in. If there have been assignments so far this quarter, how many of these does Megan have to have turned in so that she can join the team?

Possible Answers:

$45\ \text{assignments}$

$35\ \text{assignments}$

$30\ \text{assignments}$

$27\ \text{assignments}$

$47\ \text{assignments}$

Correct answer:

$45\ \text{assignments}$

Explanation:

In order to solve this problem, we need to make a ratio. Megan's teacher says she needs to have turned in 90% of her homework. First we need to change 90% into a fraction:

$\frac{90}{100}$

Using this information, we need to fill in the following ratio to find out how many assignments Megan needs to have turned in to be at 90% completion:

$\frac{90}{100} =$ $\frac{?}{50}$

To solve this ratio, we need to cross multiply.

$90\times 50\ = 450$

Now we have an equation to solve.

$450 = 100\times \textup{?}$

If we divide both sides by 100, we are left with our final answer.

$450 \div 100 =\: ?$

Megan must have at least 45 assignments turned in if she wants to join the basketball team.

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Example Question #31 : Numbers And Operations

If I have 6 red marbles and 5 blue marbles, what proportion of the marbles are red.

Possible Answers:

$\frac{6}{5}$

$\frac{6}{11}$

$\frac{5}{11}$

$\frac{5}{6}$

Correct answer:

$\frac{6}{11}$

Explanation:

To find a proportion, simply divide what you desire by the total.

In this problem the desired is the number of red marbles and the total is all of the marbels.

Thus,

$proportion=\frac{\#\ of\ reds}{\#\ of\ total}=\frac{6}{5+6}=\frac{6}{11}$

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Example Question #32 : Numbers And Operations

I have 7 green marbles and 4 blue marbles. Find the proportion of green marbles.

Possible Answers:

$\frac{7}{11}$

$\frac{4}{11}$

7:4

4:7

Correct answer:

$\frac{7}{11}$

Explanation:

To find a proportion, simply divide the desired amount by the total amount. We know our total by simply adding the marble amounts that compose it. Thus,

$Proportion=\frac{\#blue}{\#total}=\frac{7}{11}$

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Example Question #35 : Numbers And Operations

Solve the following proportion:

9:4 = x:24

Possible Answers:

x=29

x=36

x=13

x=63

x=54

Correct answer:

x=54

Explanation:

When solving a proportion, it is easiest to re-write it using fraction. So,

9:4 = x:24

can be re-written as

$\frac{9}{4} = \frac{x}{24}$

Now, to solve this, we will cross multiply and divide.

To cross multiply, we will take the numerator of the first fraction and multiply it by the denominator of the second fraction. Then, we multiply the denominator of the first fraction by the numerator in the second, and set them equal to each other.

It might be easier to see an example.

$9 \cdot 24 = 4 \cdot x$

216 = 4x

Now, we divide to solve for x.

$\frac{216}{4} = \frac{4x}{4}$

54 = x

x = 54

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Example Question #1 : How To Find The Decimal Equivalent Of A Fraction

What number is in the tenths place of 2.46?

Possible Answers:

$\dpi{100} 4$

$\dpi{100} 0$

$\dpi{100} 2$

$\dpi{100} 6$

Correct answer:

$\dpi{100} 4$

Explanation:

The tenths place is the place to the right of the decimal point.

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

What number is in the tens place in 123.4?

Possible Answers:

$\dpi{100} 2$

$\dpi{100} 3$

$\dpi{100} 1$

$\dpi{100} 4$

Correct answer:

$\dpi{100} 2$

Explanation:

The tens place is the second place to the left of the decimal. The ones place is the place just to the left of the decimal. The second number to the left of the decimal is 2.

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Example Question #3 : How To Find The Decimal Equivalent Of A Fraction

Put the following numbers in order from least to greatest:

$\dpi{100} 1.9,\ 1.2,\ 1.1,\ 1.8$

Possible Answers:

$\dpi{100} 1.1,\ 1.2,\ 1.8,\ 1,9$

$\dpi{100} 1.2,\ 1.1,\ 1.9,\ 1,8$

$\dpi{100} 1.2,\ 1.1,\ 1.8,\ 1,9$

$\dpi{100} 1.1,\ 1.2,\ 1.9,\ 1,8$

Correct answer:

$\dpi{100} 1.1,\ 1.2,\ 1.8,\ 1,9$

Explanation:

All of these numbers are between 1 and 2. Since they all have a 1 in the ones place, we just compare the tenths place digits and put them in order from least to greatest.

The tenths places here are 1, 2, 8, and 9.

So 1.1, 1.2, 1.8, 1.9.

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Example Question #3 : How To Find The Decimal Equivalent Of A Fraction

Find the probability of the outcome. Express the outcome as a fraction, reduced to its lowest terms.

Sarah saw a basket full of apples. There were 17 green apples, 13 red apples, and 15 yellow apples. What is the probability that Sarah will choose a yellow apple if she picks one at random?

Possible Answers:

$\frac{1}{2}$

$\frac{1}{5}$

$\frac{1}{15}$

$\frac{15}{45}$

$\frac{1}{3}$

Correct answer:

$\frac{1}{3}$

Explanation:

To find the probability of an outcome, set up a fraction of the part and the total possible.

$\frac{part}{total\, possible}$

There are 15 yellow apples, but we need to find the total possible by adding all the apples together.

$17_{green}+13_{red}+15_{yellow}=45$

Since there are 15 yellow apples (part) out of 45 apples in all (total possible) the fraction will be 15 over 45.

$\frac{15}{45}$

We can reduce the fraction by dividing both parts by 15.

$\frac{15}{45}=\frac{15\div15}{45\div15}=\frac{1}{3}$

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Example Question #4 : How To Find The Decimal Equivalent Of A Fraction

Which fraction is less than $\small \frac{5}{11}$ ?

Possible Answers:

$\frac{11}{19}$

$\frac{3}{7}$

$\frac{7}{12}$

$\frac{3}{5}$

$\frac{5}{8}$

Correct answer:

$\frac{3}{7}$

Explanation:

Half of 11 is 5.5, so we know that this fraction is a little bit less than one half.

$\frac{5.5}{11}=\frac{1}{2}$

$\frac{5}{11}<\frac{5.5}{11}$

$\frac{5}{11}<\frac{1}{2}$

We are looking for another fraction that is less than one half.

Half of 12 is 6, so $\small \frac{7}{12}>\frac{1}{2 }$ .

Half of 8 is 4, so $\small \frac{5}{8}>\frac{1}{2 }$ .

Half of 5 is 2.5, so $\small \frac{3}{5}>\frac{1}{2 }$ .

Half of 19 is 9.5, so $\small \frac{11}{19}>\frac{1}{2 }$ .

Half of 7 is 3.5, so $\small \frac{3}{7}<\frac{1}{2 }$ .

The only answer that could possibly be less than $\small \frac{5}{11}$ is $\small \frac{3}{7}$ .

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All SSAT Elementary Level Math Resources

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SSAT Elementary Level Math : Numbers and Operations

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

All SSAT Elementary Level Math Resources

Example Questions

Example Question #31 : Numbers And Operations

Example Question #31 : Ssat Elementary Level Quantitative (Math)

Example Question #31 : Numbers And Operations

Example Question #32 : Numbers And Operations

Example Question #35 : Numbers And Operations

Example Question #1 : How To Find The Decimal Equivalent Of A Fraction

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

Example Question #3 : How To Find The Decimal Equivalent Of A Fraction

Example Question #3 : How To Find The Decimal Equivalent Of A Fraction

Example Question #4 : How To Find The Decimal Equivalent Of A Fraction

All SSAT Elementary Level Math Resources

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