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HSPT Quantitative : HSPT Quantitative Skills

Study concepts, example questions & explanations for HSPT Quantitative

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All HSPT Quantitative Resources

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

Example Questions

Example Question #541 : Hspt Quantitative Skills

What is the difference between 25 percent of 400 and 15 percent of 600?

Possible Answers:

$\displaystyle 11$

$\displaystyle 37$

190 $\displaystyle 190$

$\displaystyle 90$

$\displaystyle 10$

Correct answer:

$\displaystyle 10$

Explanation:

We first need to determine the value of each equation. The first equation, 25 percent of 400, can be expressed by multiplying 400 by the decimal version of 25 percent, 0.25.

$0.25 \cdot 400 = 100$ $\displaystyle 0.25 \cdot 400 = 100$

The second equation, 15 percent of 600, can be expressed by multiplying 600 by the decimal version of 15 percent, 0.15.

$0.15 \cdot 600 = 90$ $\displaystyle 0.15 \cdot 600 = 90$

To find the difference, we subtract the second answer from the first answer.

$\displaystyle 100 - 90 = 10$

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Example Question #542 : Hspt Quantitative Skills

What number is 7 more than the sum of $3^{2}$ $\displaystyle 3^{2}$ and $4^{2}$ $\displaystyle 4^{2}$?

Possible Answers:

$\displaystyle 32$

$\displaystyle 31$

$\displaystyle 21$

$\displaystyle 18$

$\displaystyle 14$

Correct answer:

$\displaystyle 32$

Explanation:

First, find the sum of $3^{2}$ $\displaystyle 3^{2}$ and $4^{2}$ $\displaystyle 4^{2}$. The equation looks like this:

$\left ( 3\cdot 3 \right ) + \left ( 4 \cdot 4 \right ) = 9 + 16 = 25$ $\displaystyle \left ( 3\cdot 3 \right ) + \left ( 4 \cdot 4 \right ) = 9 + 16 = 25$

7 more than 25 is:

$\displaystyle 25 + 7 = 32$

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Example Question #192 : How To Manipulate Numbers

What is $\frac{1}{3}$ $\displaystyle \frac{1}{3}$ of twice $\displaystyle 27$?

Possible Answers:

$\displaystyle 19$

$\displaystyle 18$

$\displaystyle 17$

$\displaystyle 13$

$\displaystyle 16$

Correct answer:

$\displaystyle 18$

Explanation:

First, translate the words into numbers.

$\tfrac{1}{3}*2*27$ $\displaystyle \tfrac{1}{3}*2*27$

If you multiply 27*2 $\displaystyle 27*2$ first, you'll end up with $\displaystyle 54$, and bigger numbers are harder to deal with. Instead, divide $\displaystyle 27$ by $\displaystyle 3$, and multiply that result by $\displaystyle 2$.

$27\div 3=9$ $\displaystyle 27\div 3=9$

9*2=18 $\displaystyle 9*2=18$

No matter which order you multiply in, you will get the same answer, $\displaystyle 18$.

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Example Question #541 : Hspt Quantitative Skills

What is twice the square of six?

Possible Answers:

$\displaystyle 48$

$\displaystyle 72$

$\displaystyle 76$

$\displaystyle 81$

$\displaystyle 68$

Correct answer:

$\displaystyle 72$

Explanation:

First, turn the words into numbers:

2*6^2 $\displaystyle 2*6^2$

Do exponents first, then multiply:

2*36=72 $\displaystyle 2*36=72$

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Example Question #542 : Hspt Quantitative Skills

What is the square of twice five?

Possible Answers:

115 $\displaystyle 115$

100 $\displaystyle 100$

$\displaystyle 64$

$\displaystyle 50$

$\displaystyle 75$

Correct answer:

100 $\displaystyle 100$

Explanation:

Convert the words to numbers.

(2*5)^2 $\displaystyle (2*5)^2$

Do parentheses first, then the exponent:

$\displaystyle (10)^2=100$

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Example Question #543 : Hspt Quantitative Skills

Subtract 20% of 25 from 26.

Possible Answers:

$10\frac{1}{5}$ $\displaystyle 10\frac{1}{5}$

$\displaystyle 31$

$\displaystyle 21$

$\frac{1}{5}$ $\displaystyle \frac{1}{5}$

Correct answer:

$\displaystyle 21$

Explanation:

To subtract 20% of 25 from 26, we first find 20% of 25. The decimal equivalent of 20% is 0.20, so multiply:

$0.20 \times 25 = 5$ $\displaystyle 0.20 \times 25 = 5$

Subtract 5 from 26:

$\displaystyle 26 - 5 = 21$,

the correct response.

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Example Question #544 : Hspt Quantitative Skills

Add 20% of 84 to 30% of 66. What is the result?

Possible Answers:

$\displaystyle 43$

36.6 $\displaystyle 36.6$

38.8 $\displaystyle 38.8$

41.8 $\displaystyle 41.8$

Correct answer:

36.6 $\displaystyle 36.6$

Explanation:

20% of 84 is equal to 84 multiplied by 0.20; this is equal to

$0.20 \times 84 = 16 .8$ $\displaystyle 0.20 \times 84 = 16 .8$

30% of 66 is equal to 66 multiplied by 0.30; this is equal to

$0.30 \times 66 = 19.8$ $\displaystyle 0.30 \times 66 = 19.8$

Add these quantities:

$\begin{matrix} \; \; \; 16.8\\ \underline{+ 19.8}\\ \; \; \; 36.6\; \end{matrix}$ $\displaystyle \begin{matrix} \; \; \; 16.8\\ \underline{+ 19.8}\\ \; \; \; 36.6\; \end{matrix}$

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Example Question #545 : Hspt Quantitative Skills

Subtract 80% of 125 from 75% of 500.

Possible Answers:

225 $\displaystyle 225$

250 $\displaystyle 250$

300 $\displaystyle 300$

275 $\displaystyle 275$

Correct answer:

275 $\displaystyle 275$

Explanation:

80% of 125 is equal to 0.80 - or 0.8 - multiplied by 125:

$0.8 \times 125 = 100$ $\displaystyle 0.8 \times 125 = 100$

75% of 500 is equal to 0.75 multiplied by 500.

$0.75 \times 500 = 375$ $\displaystyle 0.75 \times 500 = 375$

Subtract the former from the latter:

$\begin{matrix} \; \; \; 375 \\ \underline{- 100} \\ \; \; \; 275 \end{matrix}$ $\displaystyle \begin{matrix} \; \; \; 375 \\ \underline{- 100} \\ \; \; \; 275 \end{matrix}$

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Example Question #548 : Hspt Quantitative Skills

What number divided by $\displaystyle 3$ is 150 $\displaystyle 150$ percent of $\displaystyle 16$?

Possible Answers:

$\displaystyle 72$

$\displaystyle 9$

$\displaystyle 15$

$\displaystyle 24$

Correct answer:

$\displaystyle 72$

Explanation:

First, find 150 $\displaystyle 150$ percent of $\displaystyle 16$:

$16\cdot1.50=24$ $\displaystyle 16\cdot1.50=24$

Then, multiply by $\displaystyle 3$:

$24\times 3=72$ $\displaystyle 24\times 3=72$

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Example Question #546 : Hspt Quantitative Skills

Add 20% of 500 to 30. What is the result?

Possible Answers:

230 $\displaystyle 230$

$\displaystyle 50$

130 $\displaystyle 130$

$\displaystyle 55$

Correct answer:

130 $\displaystyle 130$

Explanation:

20% of 500 is equal to the decimal equivalent of 20%, or 0.20 or 0.2, multiplied by 500; this is

$0.2 \times 500 = 100$ $\displaystyle 0.2 \times 500 = 100$.

Add this to 30:

$\displaystyle 30+100 = 130$

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All HSPT Quantitative Resources

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HSPT Quantitative : HSPT Quantitative Skills

Study concepts, example questions & explanations for HSPT Quantitative

All HSPT Quantitative Resources

Example Questions

Example Question #541 : Hspt Quantitative Skills

Example Question #542 : Hspt Quantitative Skills

Example Question #192 : How To Manipulate Numbers

Example Question #541 : Hspt Quantitative Skills

Example Question #542 : Hspt Quantitative Skills

Example Question #543 : Hspt Quantitative Skills

Example Question #544 : Hspt Quantitative Skills

Example Question #545 : Hspt Quantitative Skills

Example Question #548 : Hspt Quantitative Skills

Example Question #546 : Hspt Quantitative Skills

All HSPT Quantitative Resources

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