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HSPT Math : HSPT Mathematics

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6 Diagnostic Tests 130 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #881 : Hspt Mathematics

Define an operation $\bigstar$ on the set of real numbers as follows:

$a \bigstar b = 0.5ab$

If $0.1 \bigstar b = 10$ , then evaluate .

Possible Answers:

200

500

Correct answer:

200

Explanation:

$a \bigstar b = 0.5ab$ ,

$0.1 \bigstar b = 0.5 \cdot 0.1 \cdot b = 0.05 b$ .

$0.1 \bigstar b = 10$ , then

0.05 b = 10

$0.05 b \div 0.05 = 10 \div 0.05$

b = 200

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Example Question #882 : Hspt Mathematics

There is a regular sliced pizza (8 slices) that only has 6 slices left. If someone ate 4 more, what are the remaining slices in a decimal form?

Possible Answers:

0.75

0.125

0.25

0.33

Correct answer:

0.25

Explanation:

The starting amount of slices is out of which is 3/4 or 0.75 of the whole pizza.

The other slices that someone ate is half the whole pie or 0.5 .

So to find the remaining amount you must subtract 0.5 from 0.75 which gives you a quarter or 0.25 .

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Example Question #882 : Hspt Mathematics

0.23+0.45=?

Possible Answers:

0.68

0.60

0.65

0.63

Correct answer:

0.68

Explanation:

First you want to add up your hundredths places to get

0.03+0.05=0.08 .

Then you do the same for the tenths places to get

0.2+0.4=0.6 .

Finally, put them together to get 0.68 .

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Example Question #883 : Hspt Mathematics

What is 16.7548 rounded to the nearest tenth?

Possible Answers:

$\dpi{100} 16.755$

$\dpi{100} 16.7$

$\dpi{100} 16.8$

$\dpi{100} 16.75$

Correct answer:

$\dpi{100} 16.8$

Explanation:

The tenth's place is the position one unit to the right of the decimal point. In this case, that is the 7.

After identifying the position, we need to determine if this number remains 7 or if we need to round it up to 8. If the number to the right of the tenth's place is 4 or lower, then our number will remain 7. If it is 5 or greater, then we will round the 7 up to 8.

In this case, the number is indeed 5, so our tenth's place becomes 8. All numbers to the left of the tenth's place will remain the same.

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Example Question #884 : Hspt Mathematics

Express the product in simplest form:

$\frac{3}{5} \cdot 2 \frac{1}{7} \cdot 1 \frac{2}{5}$

Possible Answers:

$1 \frac{9}{10}$

$1 \frac{11}{15}$

$1 \frac{4}{5}$

$2 \frac{1}{5}$

$1 \frac{6}{7}$

Correct answer:

$1 \frac{4}{5}$

Explanation:

Rewrite the mixed fractions as improper fractions, cross-cancel, and multiply across:

$\frac{3}{5} \cdot 2 \frac{1}{7} \cdot 1 \frac{2}{5} = \frac{3}{5} \cdot \frac{15}{7} \cdot \frac{7}{5} = \frac{3}{1} \cdot \frac{3}{1} \cdot \frac{1}{5} = \frac{9}{5} = 1 \frac{4}{5}$

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Example Question #1 : How To Multiply Fractions

Evaluate:

$-3.6 \cdot (-0.07)$

Possible Answers:

2.52

- 0.252

0.252

0.0252

-0.0252

Correct answer:

0.252

Explanation:

The product of two negative numbers is the (positive) product of theie absolute values.

$-3.6 \cdot (-0.07) = +(3.6 \cdot 0.07) = 3.6 \cdot 0.07$

There are a total of three digits to the right of the two decimal points. Therefore, the product can be calculated by multiplying 36 by 7, then placing the decimal point so that there are three digits at right.

$36 \cdot 7 = 252 \Rightarrow 3.6 \cdot 0.07 = 0.252$

This is the correct choice.

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Example Question #885 : Hspt Mathematics

Solve:

$\frac{2}{5}\times\frac{7}{8}=$

Possible Answers:

$\frac{9}{13}$

$\frac{7}{20}$

$\frac{16}{35}$

$\frac{7}{4}$

Correct answer:

$\frac{7}{20}$

Explanation:

$\frac{2}{5}\times\frac{7}{8}=\frac{2\times7}{5\times8}=\frac{14}{40}=\frac{7}{20}$

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Example Question #4 : Fractions

Multiply:

$4.3 \times 3.7$

Possible Answers:

15.91

1.3201

14.911

1.591

13.201

Correct answer:

15.91

Explanation:

First, multiply the numbers, ignoring the decimal points:

$43 \times 37 = 1591$

Since the two factors in the original product have two digits to the right of the decimal points between them, position the decimal point in the product such that two digits are at its right. The result, therefore, is

15.91

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Example Question #886 : Hspt Mathematics

$\frac{2}{5}*\frac{2}{5}=$

Possible Answers:

$\frac{4}{10}$

$\frac{2}{5}$

$\frac{4}{25}$

Correct answer:

$\frac{4}{25}$

Explanation:

Multiply the numerators and then denominators:

$\frac{2}{5}* \frac{2}{5}=\frac{4}{25}$

Answer:

$\frac{4}{25}$

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Example Question #887 : Hspt Mathematics

$\frac{4}{5}*\frac{2}{3}=$

Possible Answers:

$\frac{6}{15}$

$\frac{6}{8}$

$\frac{8}{8}$

$\frac{8}{15}$

Correct answer:

$\frac{8}{15}$

Explanation:

Multiply the numerators then denominators:

$\frac{4}{5}* \frac{2}{3}=\frac{8}{15}$

Answer: $\frac{8}{15}$

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HSPT Math : HSPT Mathematics

Study concepts, example questions & explanations for HSPT Math

All HSPT Math Resources

Example Questions

Example Question #881 : Hspt Mathematics

Example Question #882 : Hspt Mathematics

Example Question #882 : Hspt Mathematics

Example Question #883 : Hspt Mathematics

Example Question #884 : Hspt Mathematics

Example Question #1 : How To Multiply Fractions

Example Question #885 : Hspt Mathematics

Example Question #4 : Fractions

Example Question #886 : Hspt Mathematics

Example Question #887 : Hspt Mathematics

All HSPT Math Resources

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