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HSPT Quantitative : Number Manipulation*

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 #191 : How To Manipulate Numbers

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

Possible Answers:

Correct answer:

Explanation:

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

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

7 more than 25 is:

25 + 7 = 32

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Example Question #192 : How To Manipulate Numbers

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

Possible Answers:

Correct answer:

Explanation:

First, translate the words into numbers.

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

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

$27\div 3=9$

9*2=18

No matter which order you multiply in, you will get the same answer, .

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Example Question #191 : Number Manipulation*

What is twice the square of six?

Possible Answers:

Correct answer:

Explanation:

First, turn the words into numbers:

2*6^2

Do exponents first, then multiply:

2*36=72

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Example Question #192 : Number Manipulation*

What is the square of twice five?

Possible Answers:

115

100

Correct answer:

100

Explanation:

Convert the words to numbers.

(2*5)^2

Do parentheses first, then the exponent:

(10)^2=100

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Example Question #193 : Number Manipulation*

Subtract 20% of 25 from 26.

Possible Answers:

$\frac{1}{5}$

$10\frac{1}{5}$

Correct answer:

Explanation:

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

$0.20 \times 25 = 5$

Subtract 5 from 26:

26 - 5 = 21 ,

the correct response.

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Example Question #194 : Number Manipulation*

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

Possible Answers:

41.8

38.8

36.6

Correct answer:

36.6

Explanation:

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

$0.20 \times 84 = 16 .8$

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

$0.30 \times 66 = 19.8$

Add these quantities:

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

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Example Question #195 : Number Manipulation*

Subtract 80% of 125 from 75% of 500.

Possible Answers:

275

300

225

250

Correct answer:

275

Explanation:

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

$0.8 \times 125 = 100$

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

$0.75 \times 500 = 375$

Subtract the former from the latter:

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

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Example Question #198 : How To Manipulate Numbers

What number divided by is 150 percent of ?

Possible Answers:

Correct answer:

Explanation:

First, find 150 percent of :

$16\cdot1.50=24$

Then, multiply by :

$24\times 3=72$

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Example Question #196 : Number Manipulation*

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

Possible Answers:

230

130

Correct answer:

130

Explanation:

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

$0.2 \times 500 = 100$ .

Add this to 30:

30+100 = 130

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Example Question #200 : How To Manipulate Numbers

Add the square of $\frac{1}{2}$ to $\frac{1}{3}$ . What is the result?

Possible Answers:

$\frac{1}{36}$

$\frac{11}{18}$

$\frac{7}{12}$

$\frac{2}{7}$

Correct answer:

$\frac{7}{12}$

Explanation:

The square of $\frac{1}{2}$ , or $\left (\frac{1}{2} \right )^{2}$ , can be calculated by squaring numerator and denominator:

$\left (\frac{1}{2} \right )^{2} = \frac{1^{2}}{2^{2}} = \frac{1}{4}$

This is added to $\frac{1}{3}$ by expressing both fractions in terms of their least common denominator, which is LCM (3,4) = 12 , as follows:

$\frac{1}{3} = \frac{1 \times 4}{3\times 4} = \frac{4}{12}$

$\frac{1}{4} = \frac{1 \times 3}{4\times 3} = \frac{3}{12}$

Add numerators:

$\frac{1}{3} + \frac{1}{4} = \frac{4}{12}+ \frac{3}{12} = \frac{4+3}{12} = \frac{7}{12}$

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All HSPT Quantitative Resources

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HSPT Quantitative : Number Manipulation*

Study concepts, example questions & explanations for HSPT Quantitative

All HSPT Quantitative Resources

Example Questions

Example Question #191 : How To Manipulate Numbers

Example Question #192 : How To Manipulate Numbers

Example Question #191 : Number Manipulation*

Example Question #192 : Number Manipulation*

Example Question #193 : Number Manipulation*

Example Question #194 : Number Manipulation*

Example Question #195 : Number Manipulation*

Example Question #198 : How To Manipulate Numbers

Example Question #196 : Number Manipulation*

Example Question #200 : How To Manipulate Numbers

All HSPT Quantitative Resources

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