HSPT Math : HSPT Mathematics

Study concepts, example questions & explanations for HSPT Math

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Example Questions

Example Question #861 : Hspt Mathematics

Which of the following is a true statement?

Possible Answers:

Correct answer:

Explanation:

The square root of a number is the number which, when squared - multiplied by itself - yields that number as the product. The square root of a fraction whose numerator and denominator are both perfect squares can be found as follows:

Divide 3 by 7:

Division

The number falls between 0.42 and 0.43.

Example Question #862 : Hspt Mathematics

Which of the following is true of ?

Possible Answers:

Correct answer:

Explanation:

The principal square root of a number is the number that, when multiplied by itself, yields that number. To determine which of the four statements is true, we find the squares of the numbers 8.4, 8.5, 8.6, 8.7, and 8.8. If we do this, we find that

,

so

.

Example Question #861 : Hspt Mathematics

Which of the following is a true statement about the expression  ?

Possible Answers:

Correct answer:

Explanation:

If each of 0.2, 0.3, 0.4, 0.5, and 0.6 is subtracted from 8, the resulting differences are 7.8, 7.7, 7.6, 7.5, and 7.4, respectively. Therefore, we ask which of these two numbers  falls between and work from there. 

, the square root of 58, is the number which, when squared - multiplied by itself - yields the product 58. If each of the numbers are squared, we see that

, or, equivalently,

.

Example Question #162 : Decimals

Which of the following four expressions is the greatest?

Possible Answers:

Correct answer:

Explanation:

By order of operations, multiplication takes precedence over addition, and each is worked right to left. Keeping this in mind:

The greatest of the four is .

Example Question #861 : Hspt Mathematics

Solve: 

Possible Answers:

Correct answer:

Explanation:

Since you are multiplying  by a quarter, you can take each part separately.  

A quarter of  is .  

A quarter of  is .

 

When you put them back together you get .

 

Example Question #866 : Hspt Mathematics

Which of the following is the least of the four?

Possible Answers:

Correct answer:

Explanation:

 and  are both positive, since the product or quotient of two negative numbers is always positive.

 

 is the only negative number among the four choices, this is the least of the four.

Example Question #862 : Hspt Mathematics

Menu 1

The above is a menu at the concession stand at a drive-in movie. The manager is thinking of offering a Family Chicken Strip Bucket, which would comprise twenty-four strips. He wants to set it up so that anyone purchasing the Bucket would save at least 15% off the price of the chicken strips had he purchased the necessary number of smaller orders. Also, he wants to charge a whole dollar amount.

What should be the price of the Family Chicken Strip Bucket at most?

Possible Answers:

Correct answer:

Explanation:

Twenty-four chicken strips comprise  regular orders, which together cost . The price that would ensure a savings of 15% would be  of this, which is 

.

The price charged for the Basket should be no higher than this. However, the manager wants the price to be a whole dollar amount, so we round down to $20.

Example Question #271 : Concepts

Which of the following is true of ?

Possible Answers:

Correct answer:

Explanation:

.

Multiply, ignoring the decimal points:

Since, between the factors, a total of two digits are to the right of the decimal points, position the decimal point in the product so that two digits are at right of its decimal point. This is 65.34, which falls between 65 and 66.

Example Question #862 : Hspt Mathematics

What is 16.7548 rounded to the nearest tenth?

Possible Answers:

\dpi{100} 16.8

\dpi{100} 16.7

\dpi{100} 16.75

\dpi{100} 16.755

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.

Example Question #863 : Hspt Mathematics

Possible Answers:

Correct answer:

Explanation:

To subtract decimals you place the first decimal over the top of the other aligned by the decimal point. If there are no numbers after a tens, hundredths, or thousandths place or further to the right of the decimal just add a zero in the required areas.

For example  becomes 

Then go through each place and subtract the top number by the bottom number. Subtract the numbers in each place like you would any number.

The example we are working with will look like this 

The answer after subtraction is 

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