Arithmetic

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HSPT Math › Arithmetic

Questions 1 - 10
1

Which of the following statements demonstrates the associative property of addition?

None of the examples in the other responses demonstrates the associative property of addition.

Explanation

The associative property of addition states that to add three numbers, any two can be added first, followed by adding the sum to the third. Of the statements given, only

demonstrates this property, so it is the correct choice.

2

There are 500 students at the high school. There are only two menu options: chicken or fish. If 15% of students ordered fish, how many students ordered chicken?

Explanation

If 15% of students ordered fish, then 85% of the students must have ordered chicken. Then multiply 85% or .

3

Explanation

Multiply the numerators then denominators:

Answer:

4

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

5

Multiply:

Explanation

First, multiply the numbers, ignoring the decimal points:

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

6

Menu 1

The above is a menu at the concession stand at a drive-in movie.

Gary wants to order two hamburgers and two small orders of fries. He wants to order two sodas of the same size. If he has just a twenty-dollar bill on hand, what is the largest size soda of which he can order two?

Gary can afford two large sodas

Gary can afford two medium sodas, but not two large sodas

Gary can afford two small sodas, but not two medium or large sodas

Gary cannot afford two sodas

Explanation

The easiest way to think of this is to note that Gary seems to be ordering for two people, himself and a friend. He has $20, so half of this will be for himself and half for his friend - and half of $20 is $10.

Each hamburger costs $4.89, and each small order of fries costs $2.29. This leaves

to spend on a soda for each person. This will enable to him to buy both himself and his friend a large soda.

7

Which of the following operations is equivalent to taking of a number?

Dividing the number by

Dividing the number by

Dividing the number by

Moving the decimal point one place to the left, then doubling the result

Moving the decimal point one place to the left, then tripling the result

Explanation

Let's just pick a number at random, for example .

of this number is , which is divided by .

We can also work by simplifying the fractional form of . A percent can be written as the number divided by .

We can simplify this fraction: .

Either way, we get the same answer.

8

Menu 1

The above is a menu at the concession stand at a drive-in movie.

Gary wants to order two hamburgers and two small orders of fries. He wants to order two sodas of the same size. If he has just a twenty-dollar bill on hand, what is the largest size soda of which he can order two?

Gary can afford two large sodas

Gary can afford two medium sodas, but not two large sodas

Gary can afford two small sodas, but not two medium or large sodas

Gary cannot afford two sodas

Explanation

The easiest way to think of this is to note that Gary seems to be ordering for two people, himself and a friend. He has $20, so half of this will be for himself and half for his friend - and half of $20 is $10.

Each hamburger costs $4.89, and each small order of fries costs $2.29. This leaves

to spend on a soda for each person. This will enable to him to buy both himself and his friend a large soda.

9

There are 500 students at the high school. There are only two menu options: chicken or fish. If 15% of students ordered fish, how many students ordered chicken?

Explanation

If 15% of students ordered fish, then 85% of the students must have ordered chicken. Then multiply 85% or .

10

77% can also be writen as ________.

Explanation

To convert a percentage into a decimal, divide the number by 100.

Instead of doing long division, simply pretend there is a decimal point at the end of the number, and then move the decimal point two places to the left.

You can think of 77 as 77.0 (or 77. - the zero doesn't matter). Now move the decimal point two places to the left.

Answer:

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