HSPT Math : Word Problems

Study concepts, example questions & explanations for HSPT Math

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Example Questions

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 

Example Question #65 : Word Problems

A Special Pizza at Monorail Deli has four different toppings; the customer can choose any one meat from pepperoni, sausage, hamburger, and anchovy, and any two vegetables from mushrooms, onions, black olives, green olives, tomatoes, and green peppers. The fourth topping can be a meat or a vegetable.

Clara wants to order a Special Pizza; however, she does not like pepperoni, and she is allergic to onions. How many possible ways can four toppings be chosen for a Special Pizza in order to meet Clara's specifications?

Possible Answers:

Correct answer:

Explanation:

Clara has three meats from which to choose (the four available, minus the one she will not eat); she has five vegetables from which to choose (the six available minus the one to which she is allergic). She can do one of the following:

Case 1: She can choose one meat and three vegetables.

She can choose one of three meats. 

She can choose three of five vegetables; the number of ways to do so is

The number of possible pizzas with one meat and three vegetables is 

Case 2: She can choose two meats and two vegetables.

She can choose two of three meats. There are three ways to do this, since choosing two meats means leaving one out; there are three ways to choose which meat to leave out.

She can choose two of five vegetables; the number of ways to do so is

The number of possible pizzas with two meats and two vegetables is 

The total number of combinations of toppings from which Clara can choose is 

 

Example Question #66 : Word Problems

Rent in Melissa's apartment is $575 per month. The rent is due on the fifth of the month, and Melissa must pay $25 penalty per day late. 

Melissa moved into the apartment on February 15 and agreed to pay a prorated rent of $250 for February. She also paid a $300 security deposit. For the remainder of the year, she paid the regular rent on the first of each month, except for October, when she paid on the fourth of the month. Calculate the amount of money she paid the apartment complex in 2014, including the security deposit and any penalties.

Possible Answers:

Correct answer:

Explanation:

Melissa paid $575 rent for each month from March to December - ten months - for a total of 

.

Add to this her prorated February rent and her security deposit (she was not late with any rent payments, hence no penalties); Melissa paid

Example Question #67 : Word Problems

Rent in Henry's apartment is $645 per month. The rent is due on the fifth of the month, and Henry must pay $20 penalty per day late.

In 2014, Henry paid the rent on time each month except in November, when he paid the rent on November 8. How much rent did Henry pay for the year, including the penalty for November?

Possible Answers:

Correct answer:

Explanation:

Henry's rent is $645 per month; multiply this by 12 to get yearly rent before the penalty.

Henry paid his November rent three days late, so multiply the daily penalty of $20 by 3 to get the total penalty.

Add the regular yearly rent and the November penalty:

 

Example Question #61 : Word Problems

Consider the sequence 

What number replaces the square?

Possible Answers:

Correct answer:

Explanation:

The increment that is added to each successive term to obtain the next term is doubled each time.

, the number in the circle

, the number in the square, which is the correct choice.

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