HSPT Math : How to do other word problems

Study concepts, example questions & explanations for HSPT Math

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Example Questions

Example Question #51 : Word Problems

If you multiply an even and an odd number together is the result always going to be even or odd?

Possible Answers:

Odd

Even

Correct answer:

Even

Explanation:

Multiplying an odd and an even number together always results in an even number.

Example Question #3 : How To Find The Solution To An Equation

Jacob, Judy and John add up all of their ages and get a total of 29.  If they do the same thing 2 years from now, what will be their total?

Possible Answers:

Correct answer:

Explanation:

In two years, each person will be 2 years older.  Since there are 3 of them, their ages will be  years more, so we add 6 to the original total of 29

Example Question #11 : Ssat Middle Level Quantitative (Math)

Sarah borrowed 48 books in the last six months. She returned half of them and then borrowed 9 more.  How many books does she have now?

Possible Answers:

Correct answer:

Explanation:

If Sarah borrowed 48 books and returned half of them, she now has

If she then borrowed 9 more, she added 9 to the 24 she had so now she has 33.

Example Question #11 : How To Find The Solution To An Equation

Elaine wants to give 2 slices of pizza to each of the 14 children invited to a birthday party.  How many pizzas should she buy if each pizza has 8 slices?

Possible Answers:

Correct answer:

Explanation:

If Elaine wants to give 2 slices of pizza to 14 children, then she needs  slices of pizza or 28 slices. 28 slices divided by the number of slice per pizza (8) will give you how many pizzas she needs.

.  

In order to ensure she has enough pizza, she needs to round up so she needs to order 4 pizzas.

Example Question #61 : Word Problems

Marcia is four times as old as her daughter Janice. In twelve years, Janice will be 20 years old. In how many years will Marcia be three times as old as Janice? 

Possible Answers:

Correct answer:

Explanation:

Janice will be 20 years old in 12 years, so she is  years old now. Marcia is four times as old, or  years old.

Let  be the number of years in which Marcia's age will be three times Janice's age. Janice will be  years old, and Marcia will be  years old. Since Marcia will be three times as old as Janice, we can set up and solve the equation:

Example Question #61 : Word Problems

Greg, a barista at a coffeehouse, has to mix two types of coffeebeans together - Strawberry Dream and Vanilla Madness - to produce eighty pounds of a new flavor. 

The Strawberry Dream beans cost $9 per pound; the Vanilla Madness beans cost $14 per pound. The new blend will cost $12 per pound, with the beans costing the same as if they were still separate. 

Let  be the number of pounds of Strawberry Dream beans that will go into the mixture. Which of the following equations can Greg set up to answer the question of how many pounds of each bean he will need?

Possible Answers:

Correct answer:

Explanation:

The total cost of beans is the price per pound times the number of pounds. The total cost of the mixture is equal to that of the Strawberry Dream beans and that of the Vanilla Madness beans. Each can be found by multiplying the cost per pound by the number of pounds:

Strawberry Dream: 

Vanilla Madness: , since the total number of pounds is eighty.

Total mixture: 

Add to get the equation:

Example Question #991 : Algebra

f pigeons land on a telephone wire. Then, g+2 pigeons fly away. Find an expression for the number of pigeons remaining.

Possible Answers:

2(f - g)

f - g + 2

2(f + g)

f + g + 2

f - g - 2

Correct answer:

f - g - 2

Explanation:

There are f - g - 2 pigeons remaining on the wire. We start with f pigeons, then subtract (g + 2) pigeons. f - (g + 2) = f - g - 2.

Example Question #2566 : Sat Mathematics

The sum of the number of pennies and nickels equals 70 and the total dollar amount of the change equals $1.50. How many nickels and pennies are there?

Possible Answers:

None\ of\ the\ answers

60\ pennies,\ 10\ nickels

10\ pennies,\ 60\ nickels

50\ pennies,\ 20\ nickels

20\ pennies,\ 50\ nickels

Correct answer:

50\ pennies,\ 20\ nickels

Explanation:

Assume there are x pennies.  Hence the number of nickels is 70-x

Now you have to set up an equation for the dollar value of the pennies and nickels which will be x+5(70-x)=150

Now solving for x results in x=50 (number of pennies).  Hence the number of nickels will be 70-50=20.

Example Question #501 : Problem Solving

A box used for shipping goods is .  What is the volume of this box?

Possible Answers:

Correct answer:

Explanation:

A box is a rectangular prism that has a length, width, and height dimension.

The volume of a box is: 

Substitute the values into the formula.

Example Question #21 : How To Do Other Word Problems

A Special Pizza at Kelly's Deli has four different toppings; the customer can choose any two meats from pepperoni, sausage, hamburger, and anchovy, and any two vegetables from mushrooms, onions, black olives, green olives, tomatoes, and green peppers.

Kathy wants to order a Special Pizza; she is allergic to green peppers. How many possible pizzas can she order if she must restrict herself accordingly?

Possible Answers:

Correct answer:

Explanation:

There are four meats from which to choose two; the number of ways to do this is

There are five vegetables from which Kathy can choose two (six minus the one to which Kathy is allergic); the number of ways to do this is

The number of ways to make a Special Pizza that leaves out green peppers is 

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