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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 #21 : How To Find The Part From The Whole With Percentage

There are 1000 birds. 68% of the birds are green. How many birds are green?

Possible Answers:

$568 \textsl{\textsl{ birds}}$

$\textsl{\textsl{birds}}$

$720 \textsl{\textsl{ birds}}$

$68 \textup{\textsl{ birds}}$

Correct answer:

$\textsl{\textsl{birds}}$

Explanation:

One way to solve this problem is to use cross multiplication. $68 \% = \frac{68}{100}$

So in order to determine the number of green birds, set this proportion equal to $\frac{x}{1000}$ .

Therefore, $\frac{68}{100}= \frac{x}{1000}$

Cross multiply to get $100x=68\cdot1000$

100x=68000 . Now divide both sides of the equation by 100 to get

x=680

A faster way to solve this problem is to recognize that 100 and 1000 differ by only one decimal place (1000 has an extra zero). Therefore, in order to determine 68% of 1000, simply add an extra zero to 68 and you have 680 birds.

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Example Question #23 : Percentage

70% of snacks served at a café are healthy while the rest of the snacks are unhealthy. There are 500 snacks. How many of these snacks are unhealthy?

Possible Answers:

$150 \textsl{ snacks}$

$225\textsl{ snacks}$

$350 \textsl{ snacks}$

$70 \textsl{ snacks}$

Correct answer:

$150 \textsl{ snacks}$

Explanation:

First, we need to determine the percentage of snacks that are unhealthy. To do this, we subtract

$100\%-70\%=30\%$ Therefore, 30% of snacks are unhealthy.

The quick estimation method allows us to compute this problem quickly and save time on later questions. To begin, we need to determine 10% of the total amount of snacks. In order to find 10% of a number, simply move the decimal point one place to the left. So, 10% of 500 snacks is 50 snacks.

We want to determine how many snacks constitute 30% of the total amount of snacks. 30% is 3 times 10% so all we need to do is multiply 10% (50 snacks) by 3. Therefore,

$3\cdot50 \textsl{ snacks}=150 \textsl{ snacks}$ are unhealthy.

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Example Question #2021 : Ssat Middle Level Quantitative (Math)

The sales tax for a given city is 8.5%. How much will someone shopping there pay for $139.34 worth of groceries, after tax is figured in?

Possible Answers:

$\$ 151.18$

$\$ 127.50$

$\$257.78$

$\$140.52$

$\$147.84$

Correct answer:

$\$ 151.18$

Explanation:

To calculate the tax, multiply 8.5%. or, equivalently, 0.085, by $139.34, rounding to the nearest cent:

$139.34 \cdot 0.085 \approx 11.84$

Add the tax to the price before tax:

139.34 +11.84 = 151.18

The amount paid will be $151.18.

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Example Question #2 : How To Work With Percentages

Exactly $\frac{1}{3}$ of the plants in a garden are tomato plants. Which of the following could be the total number of plants in the garden?

Possible Answers:

Correct answer:

Explanation:

The total number of plants has to be divisible by 3. Of the answer choices, the only one that is divisible by 3 is 18. You can check this because numbers that are divisible have the sum of their digits also divisible by 3. For example,

1 + 8 = 9

which is divisible by 3, so 18 is divisible by 3.

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Example Question #41 : Percentages

330 is 75% of what number?

Possible Answers:

400

220

$247 \frac{1}{2}$

420

440

Correct answer:

440

Explanation:

330 is 75% of a number we will call ; alternatively, 0.75 multiplied by is equal to 330. Set up this equation and solve for :

0.75 N = 330

$0.75 N \div 0.75 = 330\div 0.75$

N = 440

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Example Question #42 : Percentages

88 is $12 \frac{1}{2}$ % of what number?

Possible Answers:

704

576

Correct answer:

704

Explanation:

We can rewrite $12 \frac{1}{2}$ % as 12.5%. 88 is 12.5% of a number , or, equivalently, 0.125 multiplied by a number is equal to 88. We can write this as an equation and solve for :

0.125 N = 88

$0.125 N \div 0.125 = 88 \div 0.125$

N =704

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Example Question #43 : Percentages

32 is $2 \frac{1}{2}$ % of what number?

Possible Answers:

128

$\frac{4}{5}$

800

1,280

$7\frac{7}{8}$

Correct answer:

1,280

Explanation:

We can rewrite $2 \frac{1}{2}$ % as 2.5%. 32 is 2.5% of a number , or, equivalently, 0.025 multiplied by a number is equal to 32. We can write this as an equation and solve for :

0.025 N = 32

$0.025 N \div 0.025 = 32 \div 0.025$

N = 1,280

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Example Question #4 : How To Work With Percentages

To get on the ballot for student body president, a student must turn in a petition with the signatures of 3% of the students. If there are 5,319 students, how many signatures must a student get to be on that ballot? (Nearest whole person)

Possible Answers:

160

220

106

1,064

1,596

Correct answer:

160

Explanation:

3% of 5,319 can be calculated by multiplying 5,319 by 0.03, the decimal equivalent of 3%:

$5,319 \times 0.03 = ?$

Multiply 5,319 by 3, then move the decimal point so that two digits are to the right:

$5,319 \times 3 =15,957$ ,

$5,319 \times 0.03 = 159.57$

Rounded to the nearest whole number, this is 160 signatures.

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Example Question #2024 : Ssat Middle Level Quantitative (Math)

3,200 is 160% of what number?

Possible Answers:

2,000

5,120

2,400

$2,133\frac{1}{3}$

3,040

Correct answer:

2,000

Explanation:

Set up the proportion statement and solve for by cross-multiplying:

$\frac{3,200}{N}= \frac{160}{100}$

$N \cdot 160 = 3,200 \cdot 100 = 320,000$

$N \cdot 160 \div 160 = 320,000\div 160$

N = 2,000

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Example Question #31 : Percentage

12 is $\frac{3}{4} \%$ of what number?

Possible Answers:

900

$\frac{9}{100}$

1,600

Correct answer:

1,600

Explanation:

Set up the proportion statement and solve for by cross-multiplying:

$\frac{12}{N } = \frac{\frac{3}{4}}{100}$

$\frac{3}{4} \cdot N = 12 \cdot 100 = 1,200$

$\frac{4}{3} \cdot \frac{3}{4} \cdot N = \frac{4}{3} \cdot 1,200$

$N = \frac{4,800}{3} =1,600$

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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 #21 : How To Find The Part From The Whole With Percentage

Example Question #23 : Percentage

Example Question #2021 : Ssat Middle Level Quantitative (Math)

Example Question #2 : How To Work With Percentages

Example Question #41 : Percentages

Example Question #42 : Percentages

Example Question #43 : Percentages

Example Question #4 : How To Work With Percentages

Example Question #2024 : Ssat Middle Level Quantitative (Math)

Example Question #31 : Percentage

All SSAT Middle Level Math Resources

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