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HSPT Quantitative : How to manipulate numbers

Study concepts, example questions & explanations for HSPT Quantitative

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6 Diagnostic Tests 55 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #51 : How To Manipulate Numbers

What is $\frac{1}2{}$ $\displaystyle \frac{1}2{}$ of $\displaystyle 5$ less than $\displaystyle 67$ ?

Possible Answers:

$\displaystyle 36$

$\displaystyle 57$

$\displaystyle 62$

$\displaystyle 31$

Correct answer:

$\displaystyle 31$

Explanation:

First, find $\displaystyle 5$ less than $\displaystyle 67$ :

67-5=62 $\displaystyle 67-5=62$

Then, find $\frac{1}{2}$ $\displaystyle \frac{1}{2}$ :

$62\div2=31$ $\displaystyle 62\div2=31$

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Example Question #52 : How To Manipulate Numbers

$\displaystyle 16$ is $\displaystyle 40$ percent of what number number?

Possible Answers:

$\displaystyle 52$

$\displaystyle 46$

$\displaystyle 44$

$\displaystyle 40$

Correct answer:

$\displaystyle 40$

Explanation:

Representing the unknown number with an $\displaystyle x$ , we know that 16=.40x $\displaystyle 16=.40x$ . Now solve for $\displaystyle x$ by dividing both sides by $\displaystyle .40$ :

$\frac{16}{.40}=40$ $\displaystyle \frac{16}{.40}=40$

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Example Question #53 : How To Manipulate Numbers

What is $\displaystyle 12$ percent of 15^2 $\displaystyle 15^2$ ?

Possible Answers:

$\displaystyle 13$

$\displaystyle 45$

$\displaystyle 27$

$\displaystyle 34$

Correct answer:

$\displaystyle 27$

Explanation:

First, square $\displaystyle 15$ :

$15^2=15\cdot15=225$ $\displaystyle 15^2=15\cdot15=225$

Then, find $\displaystyle 12$ percent:

$225\cdot12=27$ $\displaystyle 225\cdot12=27$

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Example Question #54 : How To Manipulate Numbers

What number multiplied by $\displaystyle 4$ equals $\displaystyle 8$ more than $\frac{2}{3}$ $\displaystyle \frac{2}{3}$ of 120 $\displaystyle 120$ ?

Possible Answers:

$\displaystyle 22$

$\displaystyle 62$

$\displaystyle 80$

$\displaystyle 26$

Correct answer:

$\displaystyle 22$

Explanation:

First, find $\frac{2}{3}$ $\displaystyle \frac{2}{3}$ of 120 $\displaystyle 120$ :

$\frac{120\cdot2}{3}=80$ $\displaystyle \frac{120\cdot2}{3}=80$

Then, add $\displaystyle 8$ :

80+8=88 $\displaystyle 80+8=88$

Finally, divide by $\displaystyle 4$ to reverse the multiplication:

$88\div4=22$ $\displaystyle 88\div4=22$

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Example Question #54 : How To Manipulate Numbers

What is $\displaystyle 18$ percent of $\frac{1}{6}$ $\displaystyle \frac{1}{6}$ of 1200 $\displaystyle 1200$ ?

Possible Answers:

194 $\displaystyle 194$

$\displaystyle 46$

$\displaystyle 36$

200 $\displaystyle 200$

Correct answer:

$\displaystyle 36$

Explanation:

First, find $\frac{1}{6}$ $\displaystyle \frac{1}{6}$ of 1200 $\displaystyle 1200$ :

$\frac{1200}{6}=200$ $\displaystyle \frac{1200}{6}=200$

Then, find $\displaystyle 18$ percent:

$200\cdot.18=36$ $\displaystyle 200\cdot.18=36$

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Example Question #55 : How To Manipulate Numbers

What is the average of 1051 $\displaystyle 1051$ and 1069 $\displaystyle 1069$ ?

Possible Answers:

1060 $\displaystyle 1060$

1061 $\displaystyle 1061$

1063 $\displaystyle 1063$

1058 $\displaystyle 1058$

Correct answer:

1060 $\displaystyle 1060$

Explanation:

Find the average by adding the numbers and dividing by $\displaystyle 2$ :

$\frac{1051+1069}{2}=1060$ $\displaystyle \frac{1051+1069}{2}=1060$

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Example Question #57 : How To Manipulate Numbers

What is $\displaystyle 6$ less than $\frac{3}{4}$ $\displaystyle \frac{3}{4}$ of $\displaystyle 92$ ?

Possible Answers:

$\displaystyle 60$

$\displaystyle 69$

$\displaystyle 57$

$\displaystyle 63$

Correct answer:

$\displaystyle 63$

Explanation:

First, find $\frac{3}{4}$ $\displaystyle \frac{3}{4}$ of $\displaystyle 92$ :

$\frac{92\cdot3}{4}=69$ $\displaystyle \frac{92\cdot3}{4}=69$

Then, subtract $\displaystyle 6$ :

69-6=63 $\displaystyle 69-6=63$

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Example Question #53 : Number Manipulation*

What is the product of 7^2 $\displaystyle 7^2$ and $\displaystyle 25$ percent of $\displaystyle 16$ ?

Possible Answers:

$\displaystyle 89$

162 $\displaystyle 162$

$\displaystyle 53$

196 $\displaystyle 196$

Correct answer:

196 $\displaystyle 196$

Explanation:

The square of $\displaystyle 7$ is $\displaystyle 49$ :

$7^2=7\cdot7=49$ $\displaystyle 7^2=7\cdot7=49$

$\displaystyle 25$ percent of $\displaystyle 16$ is $\displaystyle 4$ :

$16\cdot.25=4$ $\displaystyle 16\cdot.25=4$

Multiply these to find the product:

$49\cdot4=196$ $\displaystyle 49\cdot4=196$

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Example Question #56 : How To Manipulate Numbers

What is $\displaystyle 55$ percent of $\displaystyle 60$ ?

Possible Answers:

$\displaystyle 27$

$\displaystyle 25$

$\displaystyle 35$

$\displaystyle 33$

Correct answer:

$\displaystyle 33$

Explanation:

Multiply $\displaystyle 60$ by the decimal equivalent of the percentage to find the answer:

$60\cdot.55=33$ $\displaystyle 60\cdot.55=33$

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Example Question #60 : How To Manipulate Numbers

What is $\displaystyle 14$ less than $\frac{1}{4}$ $\displaystyle \frac{1}{4}$ of $\displaystyle 96$ ?

Possible Answers:

$\displaystyle 14$

$\displaystyle 24$

$\displaystyle 11$

$\displaystyle 10$

Correct answer:

$\displaystyle 10$

Explanation:

First, find $\frac{1}{4}$ $\displaystyle \frac{1}{4}$ of $\displaystyle 96$ :

$\frac{96}{4}=24$ $\displaystyle \frac{96}{4}=24$

Then, subtract $\displaystyle 14$ :

$\displaystyle 24-14=10$

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All HSPT Quantitative Resources

6 Diagnostic Tests 55 Practice Tests Question of the Day Flashcards Learn by Concept

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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 #51 : How To Manipulate Numbers

Example Question #52 : How To Manipulate Numbers

Example Question #53 : How To Manipulate Numbers

Example Question #54 : How To Manipulate Numbers

Example Question #54 : How To Manipulate Numbers

Example Question #55 : How To Manipulate Numbers

Example Question #57 : How To Manipulate Numbers

Example Question #53 : Number Manipulation*

Example Question #56 : How To Manipulate Numbers

Example Question #60 : How To Manipulate Numbers

All HSPT Quantitative Resources

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