HSPT Math : HSPT Mathematics

Study concepts, example questions & explanations for HSPT Math

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Example Questions

Example Question #1231 : Hspt Mathematics

Divide:

Possible Answers:

Correct answer:

Explanation:

Example Question #6 : How To Divide Variables

Simplify:

Possible Answers:

Correct answer:

Explanation:

To simplify, we want to get the same base in both the numerator and the denominator. This will allow us to easily manipulate the exponents.

Replace the denominator with this value and simplify.

Example Question #1232 : Hspt Mathematics

Simplify:

Possible Answers:

Correct answer:

Explanation:

To simplify, we want to get the same base in both the numerator and the denominator. This will allow us to easily manipulate the exponents.

We can write:

and

Replace the fraction with these values and simplify.

Example Question #7 : How To Divide Variables

Which of the following numbers is divisible by 7?

Possible Answers:

Correct answer:

Explanation:

The number 756 can be segmented into 700 and 56. Given that 700 is divisble by 7 (700 divided by 7 is 100) and that 56 is divisible by 7 (56 divided by 7 is 8), 756, as the aggregate of 700 and 56, is also divisble by 7. 

Example Question #8 : How To Divide Variables

What is the equivalent of this expression?

The square root of 64 divided by the square of 2.

Possible Answers:

Correct answer:

Explanation:

The mathematical translation of the square root of 64 divided by the square of 2 is:

 

Example Question #1233 : Hspt Mathematics

Which of the following is divisible by 3?

Possible Answers:

Correct answer:

Explanation:

A quick trick to remember is that a number is divisible by 3 when the digits of that number add up to a sum that is also divisible by 3.

For example, we know that the number 85,962 must be divisible by 3 because:

30 is divisible by 3; therefore, 85,962 must also be divisible by 3.

In contrast, adding the digits of the other answer choices will give numbers that are not divisible by 3, indicating that the other answer choices are also not divisible by 3.

Example Question #1234 : Hspt Mathematics

Possible Answers:

Correct answer:

Explanation:

First find the exponent value:

Then find the value of

Finally, solve the entire expression with the known values:

The answer is 36.

Example Question #1235 : Hspt Mathematics

Simplify:

Possible Answers:

Correct answer:

Explanation:

Example Question #3 : How To Multiply Variables

Multiply:

Possible Answers:

Correct answer:

Explanation:

Use the distributive property:

Example Question #4 : How To Multiply Variables

Possible Answers:

Correct answer:

Explanation:

Multiply the numbers and multiply the variables:

Answer:

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