Number and Numeration, Percentage

Dance #1

Bryan and Annie are going to a school dance. Tickets cost $12.00 per couple at the door. They are only $10.50 if they are bought in advance. What percentage of the door price with Bryan and Annie save if they buy their ticket in advance?

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Number and numeration, percentage

Concert #1

There was a band concert in the school auditorium. The school auditorium was 7/8 full. What percent of the auditorium was full?

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Percent

Electric #1

An engineer for an electric company is calculating the height of a tree. She placed a flag on the ground 42 feet from the base of the tree. She used her surveying equipment to find that the angle of elevation from the flag to the top of the tree is 55 degrees. Find the height, x, of the tree to the nearest foot.

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Patterns/functions

Wood #1

Dave wants to cut a 20-foot- long piece of wood into pieces. They are 5 feet, 4 feet, or 2 feet long. He must have at least one of each length and have no wood left over. What is the greatest number or piece she can cut from this piece of wood?

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Division, addition

Weight #1

In social studies class, eighth graders learned about the average weight of garbage per day. Each person in America, on Average, generates about 5.1 pounds of garbage per day. How many pounds of garbage does a family of 5 generate in 365 days? How many tons of garbage does a family of 5 generate in 365 days?

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Weight, multiplication

Quarters #1

A coin collector has a box that contains United States quarters. The quarters have dates from 1954 to 1959. He has 19 1954 quarters. He has 7 1955 quarters. He has 6 1956 quarters. He has 8 1957 quarters. He has 5 1958 quarters. He has 11 1959 quarters. If the coin collector chooses one quarter from the box with out looking, what is the probability that the quarter selected is dated 1955, 1956, or 1957?

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Uncertainty, probability

Rectangle #1

Susie has a paper rectangle with 32 smaller squares drawn in it. Its length is 8 squares. Its width is 4 squares. 5/8 if the rectangle is shaded. What percentage of the rectangle is shaded?

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Number/numeration, length and width, percent, fractions

School #1

Mary selected some students in her school at random and asked how they got to school each morning. 23 students ride in a car. 51 students ride on the bus. 18 students walk to school. What percentage of the students in the table about ride in a car to school each morning?

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Percentage and logic

Scrubbers #1

The house ware store at the shopping mall is promoting a new floor scrubber. If you buy 3 scrubbers, you will save $5.00. If you buy 6 scrubbers, you will save $10.00. If you buy 9 scrubbers you will save $15.00. If you buy 12 scrubbers you will save $20.00. The amount of money you save increases with the number or floor scrubbers you buy. You purchase 21 floor scrubbers, spending a total of $299.95 after the discount. What was the price, p, of each floor scrubber before the discount?

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Patterns/functions

Shirts #1

Giovanni uses the pattern in the table to calculate the cost of any number of shirts.

Number of shirts / Cost (in dollars)
1 / 17
2 / 29
3 / 41
4 / 53
5 / 65

Giovanni wants to make the pattern go all the way up to 17 shirts. How much would 17 shirts cost?

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Patterns

Snowfall #1

Todd made the measurements of each day’s snowfall. On Friday, there was 3.25 inches of snow. On Saturday, there was 5.75 inches of snow. On Sunday, there was 2.4 inches of show on the ground. What is the mean snowfall, in inches, for the 3 days shown?

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Mean

Sweater #1

Kelly wanted to buy a sweater. Sweaters were on sale for 20% off the original price. Kelly bought a sweater on sale that has an original price of $32.00. The sales tax was 7.25%. How much did Kelly pay for the sweater?

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Multiplication

Swimming #1

Carol loves to swim. In her first race of the season, she swam her event in 5 minutes and 15 seconds. Her goal was to be able to swim the same distance in 2/3 the time by the end of the season. If she reaches her goal, how long will it take for her to swim the race at the end of the season?

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Fractions

Tents #1

The school planning committee wants to rent as many tents as they can for the spring fair. Rent-A-Roof charges $325 for the first 3 tents, and the $125 for each additional tent. There is no charge for delivery and set up. Parties-R-Us has a one time charge of $100 for delivery and set up, plus $100 for each tent. Tents-‘n-More charges $125 for each tent. There is no additional charge for the delivery and set up. The committee has $600 to spend on tents. What is the maximum number or tents it can rent?

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Patterns/functions

Tree #1

A tree, which is in danger of falling, stands 65 feet from a house. The angle of elevation fro the bottom of the house to the top of the tree is 40 degrees. The tree may fall directly towards the house. If the tree should fall toward the house will it hit the house?

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Patterns and functions

IceCream #1

Maya’s school is having a spring fair to raise money. Maya’s class is selling ice cream cones for $0.75 each at the spring fair. The class spent $60.00 for the ice cream cones. This equation can be used to find the amount of profit the class will make.

Profit = $0.75 x #of ice cream cones sold - $60.00

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Patterns/functions

Ladder #1

A window washer leans a ladder up against a wall so that the top of the ladder touches the base of the window. The bottom of the ladder is 15 feet from the wall. The base of the window is 26 feet from the ground. What is the length of the ladder to the nearest foot?

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Measurement

Miles #1

An odometer shows the distance a car has been driven. The odometer does not work right on Peter’s car, and it registers only 2 miles for every 3 miles it has been driven. His odometer shows 48 miles. How many miles has he actually driven?

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Multiplication, division

Money #1

There is a relationship between the hours Joe works and the money he earns. He receives $12.50 if he works 2 hours. He receives $25.00 is he works 4 hours. He receives $37.50 is he works 6 hours. How much money will Joe get if he works 10 hours?

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Addition

Numbers #1

Randy and Carl are writing questions for the “name that number” game. They want to ask the players to find a number with certain properties. The number is a one-digit positive integer. When 82 are divided by the number, the remainder is 3. Does such a number exist?

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Operations

Paint #1

Mr. Frank wants to mix yellow paint and blue paint. He wants to get 15 ounces of green paint. The shad of green he wants requires 2 parts yellow paint and 3 parts blue paint. How many ounces of yellow paint does he need for his mix?

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Fractions, division

Snow #1

Ahmir is doing a project on snowfall. The table shows snowfall data for six New York cities in November 1995. What was the mean snowfall for all these cities in November 1995?

City / Total snowfall (in inches) / Departure from normal (in inches)
Albany / 5.8 / 0.8
Binghamton / 34.1 / 26.6
Buffalo / 15.4 / 5.5
NYC / 2.9 / -0.4
Rochester / 23.4 / 17.0
Syracuse / 34.2 / 25.1

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Measurement

People #1

There is a group of 40 people. 32 people are over 5 feet 7 inches in height and the others are under this height. One person is selected at random from this group. What is the probability the person’s height will be less than 5 feet 7 inches?

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Probability

Flowers #1

Ron owns a flower shop in the shopping mall. The flower most frequently ordered from his flower shop is the rose. For each order of roses, Ron charges $3.00 for each rose plus $5.00 for delivery service. Ron made a delivery or roses for which he charged $59.00. Write an equation that you could use to find how many roses, r, he delivered.

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Division, multiplication

Food #1

Julie has $10.00. She plans to buy 4 bagels and then buy pastries with the money she has left over. Pastries cost $1.75 each. Bagels cost $1.00 each. What is the maximum number of pastries she can buy?

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Money, addition, subtraction

Fuel #1

The outboard engine on Jimmy’s boat uses a fuel-to- oil mixture in a 50:1 ratio. Jimmy puts 2.5 gallons of fuel in the tank. How many fluid ounces of oil does he need to add? 1 gallon=128 fluid ounces

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Ratios

Game #1

Jamal and Morgan are playing a game in which 7 objects are placed on a table. Each player takes turns removing 1 or 2 objects. The player who removes the last object on the table losses. Morgan goes first and removes one object from the table on her first turn. How many objects should Jamal remove next to be sure that he will win?

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Mathematical reasoning, logic

Gasoline #1

Dante is driving 638 miles to his cousin’s house. His care has a 12 gallon tank. His tank goes 22 miles for every gallon of gasoline. Dante started with a full tank of gasoline and will fill up the tank when it is empty. How many times will he have to stop for gasoline?

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Multiplication

Hamburgers #1

Mr. Adams will be serving 20 people at a barbeque. He plans to make two hamburgers for each person. Mr. Adams spent $27.00 at the store on the meat, which sells for $2.25 per pound. Mr. Adams wants to make all the hamburgers the same size. What will be the size, in pounds, of each hamburger?

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Division, multiplication

Waste #1

Each year approximately 28 million tons of yard waste (mowed grass, dead leaves, etc.) are thrown away in the United States. This is about 20% of the total amount of garbage thrown away in the United States each year. About how many tons of garbage is thrown away in the United States each year.

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Operations, percentage

Variables #1

There are four equations where each variable a, b, c, and d represent different values.

a + d = b

b – a = c

c x d = -d

d + d = a

If a = 4, use the equations above to determine the value of each other variable.

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mathematical reasoning

Family #1

Maria and Toni are sisters and Jacob and Marcel are brothers. Maria’s age plus Toni’s age equals 36. Jacob’s age plus Marcel’s age equals 33. Maria’s age plus Jacob’s age equals 29. Toni’s age is 21. How old is Marcel?

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addition

Tank #1

There is a large water tank in the shape of a right circular cylinder. It stands 25 meters high and measures 15 meters in diameter. What is the volume or the water tank in cubic meters?

You can use the pie formula. (3.14)

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measurement

Field #1

The city planning department wants to build a rectangular playing field in one of its parks. The perimeter of the entire field will be fenced, and the total area of the field will be 1,200 square feet. The length and the width can only be whole numbers. What dimensions for the playing field will require the minimum number of feet or fencing? What is the perimeter of the playing field with the minimum number of feet of fencing?

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measurement

Fishing #1

Tikka made bamboo fishing poles for her sister and herself. She used 3/5 of a 10-foot stick or bamboo for her pole. The remaining amount or the bamboo stick was used for her sister’s pole. How long is her sister’s fishing pole?

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fractions

Bakery #1

At the bakery, the daily ratio of cookie sales to donut sales is 3 to 4. Cookies and donuts cost the same amount. The bakery earned $225.00 from the sale of cookies on Tuesday. Write a proportion that could be used to find the amount of money that came from the sale of donuts on Tuesday.

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proportions

Bookshelf #1

Antonio is building a bookshelf. He has a piece of wood that measures 90 centimeters in length. The directions require that this piece of wood be cut into two pieces, one piece 20 centimeters longer than the other.

The equation x + (x + 20) = 90 will help determine where to make the cut. The shorter piece of wood must then be cut in half. With the equation, determine the length of the shorter piece of wood.

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Equations, division

Cake #1

A baker is decorating the top or a cake with a 3 inch boarder of chocolate frosting surrounding a 6-by-10 inch rectangle or vanilla cake. What is the total area, in square inches, or the chocolate frosting boarder?

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uncertainty, length, width

Cells #1

Georgiana is collecting data on the growth of E. Coli bacteria. Each E. Coli cell reproduces by dividing in half every 20 minutes. IF Georgiana starts with one E. Coli cell, how many cells will be in the sample after 120 minutes? After how many minutes will there be 256 cells in the sample?

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operations, division

Change #1

Andy bought a carton of milk that cost $3.10. He also bought a package of sugar that cost $1.39. He bought a carton of eggs that cost $2.10. How much change did he receive from $20.00?

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addition, subtraction

Chocolate #1

Laura received a box of chocolates for her birthday. The chocolates in the box have 5 different fillings. There are 16 caramels, 10 coconut, 12 mint, 14 cherry, and 8 toffee. The chocolates are all the same shape and Laura does not like coconut or toffee. What is the probability that Laura will pick a chocolate from the full box that she does like?

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probability