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HSPT Quantitative : How to manipulate numbers

Study concepts, example questions & explanations for HSPT Quantitative

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Example Questions

Example Question #171 : How To Manipulate Numbers

is what percentage of ?

Possible Answers:

$1.12\%$

$17.5\%$

$5.71\%$

$0.175\%$

Correct answer:

$17.5\%$

Explanation:

First, divide by :

$14\div 80=0.175$

Next, convert to a percentage by multiplying by 100 :

$0.175\cdot100=17.5\%$

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Example Question #171 : How To Manipulate Numbers

What is $45\%$ of ?

Possible Answers:

7.5

7.2

Correct answer:

7.2

Explanation:

Multiply by $45\%$ , or 0.45 :

$16\cdot0.45=7.2$

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Example Question #171 : How To Manipulate Numbers

What number, when divided by the product of and 3.5 , equals the square root of ?

Possible Answers:

168

58.5

Correct answer:

168

Explanation:

Work backwards to solve this problem. First, the product of and 3.5 is 118 :

$16\cdot3.5=56$

Next, the square root of is :

$\sqrt{9}=3$

Now, the question is, "What number, when divided by , equals ?" This can also be written as:

$\frac{x}{56}=3$

Multiply both sides by to find :

$x=56\cdot3=168$

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Example Question #172 : How To Manipulate Numbers

What number added to 15 gives you $\dpi{100} \frac{1}{4}$ of 72 ?

Possible Answers:

$\dpi{100} 6$

$\dpi{100} 3$

$\dpi{100} 12$

$\dpi{100} 4$

Correct answer:

$\dpi{100} 3$

Explanation:

Set up an equation using the information provided.

$\dpi{100} 15+x=\frac{1}{4}\cdot 72$

$\dpi{100} 15+x=18$

$\dpi{100} 15+x-15=18-15$

$\dpi{100} x=3$

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Example Question #175 : How To Manipulate Numbers

is percent of what number?

Possible Answers:

1200

120

1500

150

Correct answer:

1200

Explanation:

Set up a proportion, representing the unknown number with :

$\frac{60}{x}=\frac{5}{100}$

Then cross multiply and solve:

6000=5x

$x=\frac{6000}{5}=1200$

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Example Question #176 : How To Manipulate Numbers

What number, when divided by , is half the product of and ?

Possible Answers:

312

298

404

415

Correct answer:

312

Explanation:

First find the product of and :

$13\cdot8=104$

Then find half the product by dividing by 2:

$104\div2=52$

Now multiply by to reverse the division:

$52\cdot6=312$

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Example Question #174 : How To Manipulate Numbers

What is percent of ?

Possible Answers:

10.24

12.05

Correct answer:

10.24

Explanation:

Multipy by the decimal version of the percentage:

$64\times .16=10.24$

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Example Question #175 : How To Manipulate Numbers

What is percent of 106 ?

Possible Answers:

$6.\overline{66}$

6.36

7.3

Correct answer:

6.36

Explanation:

Multiply the number by the decimal version of the percentage:

$106\times .06=6.36$

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Example Question #176 : How To Manipulate Numbers

What is $\frac{3}{4}$ of less than ?

Possible Answers:

Correct answer:

Explanation:

First, less than is:

93-13=80

Next, find $\frac{3}{4}$ of that value:

$\frac{80\cdot3}4{}=60$

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Example Question #177 : How To Manipulate Numbers

What number is 2 percent of 3/8 of 72?

Possible Answers:

0.54

2.45

0.75

5.42

1.32

Correct answer:

0.54

Explanation:

First we need to find 3/8 of 72. To do this, convert 72 into a fraction and multiply.

$\frac{3}{8}\cdot \frac{72}{1} = \frac{216}{8}= 27$

To find 2 percent of 27, convert 2 percent into decimal form (0.02) and multiply it by 27.

$0.02 \cdot 27 = 0.54$

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HSPT Quantitative : How to manipulate numbers

Study concepts, example questions & explanations for HSPT Quantitative

All HSPT Quantitative Resources

Example Questions

Example Question #171 : How To Manipulate Numbers

Example Question #171 : How To Manipulate Numbers

Example Question #171 : How To Manipulate Numbers

Example Question #172 : How To Manipulate Numbers

Example Question #175 : How To Manipulate Numbers

Example Question #176 : How To Manipulate Numbers

Example Question #174 : How To Manipulate Numbers

Example Question #175 : How To Manipulate Numbers

Example Question #176 : How To Manipulate Numbers

Example Question #177 : How To Manipulate Numbers

All HSPT Quantitative Resources

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