Mrs. Hayes Math Masters

Let's Make a Deal!

2010-04-16T21:14:00.002-05:00

Daniel brought home a poster from the book fair. He had paid $25 for it. Brandon saw the poster and gave Daniel $35 for it. A few days later, Daniel bought the poster back for $45. Then he sold it again, this time to his friend Whitney for $55.
Did Daniell make money on his transactions, or lose money?

Heads & Legs

2010-03-27T20:00:00.002-05:00

Mrs. Hayes looks out her window into the playground. She sees a mix of boys and dogs. She counts 22 heads and 68 legs. She wants YOU the Math Masters to figure out how many boys are in the yard.

What Time is It?

2010-03-21T23:12:00.004-05:00

What is the number missing from the following sequence? By figuring out the relationship of these watch settings to one another, you should be able to determine what time will show up on Watch E.

WATCH A 5:23

WATCH B 8:26

WATCH C 12:30

WATCH D 5:35

WATCH E ______

Kevin's New Room

2010-03-13T16:08:00.001-06:00

Kevin is selecting floor tiles for his room in his family's new house. No tiles will be put down in the closets. Each tile is 1 foot square and costs $0.60. All the intersecting sides of the tiles meet at right angles.
How much will the tiles cost if there are no tiles left over?

All Four are Probably Probability!

2010-03-07T22:30:00.003-06:00

14,500 people are sitting in a stadium. One of them is picked out. What are the chances that that person's birthday is on a Sunday?

You drop two coins into a muddy river by mistake. You saw one falling in, a dime. You know the other one had to be either a dime, or a nickel. After searching and pulling out one, and discovering it's a dime, what is the chance that the other is also a dime?

Kailyn likes strawberries, blueberries, and apples. She put bananas, apples, oranges, cherries, and blueberries into a basket. There are 36 fruits in the basket total. There are 7 bananas, 4 apples, 11 oranges, 8 cherries, and the rest blueberries. What is Kailyn's chance of picking out a fruit that she likes?

If I have:a normal coin with a heads and tails;a 6-sided die;and a bag containing 4 blue and 2 red marbles,what is the probability of me flipping a heads, rolling a 4, and picking out a red marble?

Oh No! The Boys are in the Kitchen!

2010-02-28T17:19:00.005-06:00

Caleb, Houston, Blake, Daniel, and Dakota made 87 muffins altogether.

Houston made 16 muffins. He put nuts in of them.

Caleb made 1 less muffin than Houston. One third of them had nuts.

Blake and Daniel each made 3 more muffins than Caleb made.

Blake put nuts in of his muffins.

Daniel put nuts in of his muffins.

Dakota put nuts in of his muffins.

How many muffins in all had nuts?

Hoop Time

2010-02-19T22:49:00.003-06:00

Player A	Player B	Player C	Player D	Player E
9 10 12 13 11	14 16 16 13 16	19 18 16 14 18	15 17 19 17 17	13 12 13 12 15

Daniel, Blake, Houston, Michael, and Ryan often play a half-hour-long game of basketball. They keep track of the number of points each player has earned each game. The scores are listed above.

The mean of both Daniel's and Blake's scores is 17.

The median of Michael's scores is 3 less than the median of Houston's scores.

The mean of Ryan's scores is less than the mean of any other player's scores. There is no mode of Ryan's scores.

The mode of Daniel's scores is 1 more than the mode of Blake's scores.

There is one player whose scores yield 2 modes.

Which scores belong to which player?

Oops! There are Two To Do!! :)

2010-02-12T16:08:00.002-06:00

Bobby has 5 shirts: red, blue, green, yellow, and black. He has 4 hats: red, blue, green, and black. He has 3 pairs of pants. How many outfits can he make?

If seven people meet each other and each shakes hands only once with each of the others, how many handshakes will there have been?

Bike Race!

2010-02-07T17:10:00.001-06:00

Kailyn, Daniel and Brandon had a contest to see who could bike the most miles. Together Kailyn and Daniel biked 21 miles. The combined total for Kailyn and Brandon was 19. Together Brandon and Daniel rode 22 miles.

Who was the winner?

One Potatoe, Two Potatoe....

2010-01-30T18:12:00.001-06:00

Reese began peeling a pile of 44 potatoes at the rate of 3 per minute. Four minutes later, Christian joined him, and peeled at the rate of 5 potatoes per minute. When they were finished, how many potatoes had each peeled?

How Many Marbles?

2010-01-23T16:14:00.004-06:00

Mrs. Hayes is holding a bag containing 24 colored marbles. The colors are red, green, and blue. There are twice as many red marbles as green marbles, and one more red marble than blue marbles. How many of each color marble are in the bag?

So....What's in the Bag?

2010-01-17T20:22:00.001-06:00

In front of me, I have level scales. On each side, there are 3 bags. In each bag, there are some marbles. There are 150 Marbles in total. Using the clues below, work out how many marbles are in each bag.

Bag 1 + Bag 2 = 56 marbles
Bag 1 + Bag 3 = 54 marbles
Bag 2 + Bag 3 = 40 marbles
-------------------
Bag 4 + Bag 5 = 61 marbles
Bag 4 + Bag 6 = 37 marbles
Bag 5 + Bag 6 = 52 marbles

Your task is to label the bags 1-6 and tell how many marbles are in each bag!

Bag 1 =
Bag 2 =
Bag 3 =
Bag 4 =
Bag 5 =
Bag 6 =

Carson's Mail Dilemma

2010-01-10T23:14:00.005-06:00

Blake's brother, Carson, is sending pictures from his fall baseball games with letters to friends. The weight of each envelope will require 55 cents postage. Carson has a selection of the following different stamps from which to choose:

52-cent Hubert H. Humphrey stamp
32-cent flag stamp
23-cent Mary Cassatt stamp
20-cent bird stamp
15-cent Buffalo Bill Cody stamp
3-cent bird stamp

Carson wants each envelope to have exactly 55 cents in postage, and to have a different combination of stamps.

What are the different stamp combinations Carson can use on the envelopes, if he has room for no more than 5 stamps on an envelope?

Analyze the Data

2010-01-03T22:47:00.003-06:00

Forty-eight boys and girls in New England were surveyed on their participation in two winter sports. The survey asked the following questions.

Have you ever snowboarded?
Have you ever skied?
Have you both snowboarded and skied?
Have you neither snowboarded nor skied?

The graph above shows the results of the survey, but it does not label each pair of bars. Here are statements on the results of the survey.

Three times as many boys as girls have both snowboarded and skied.
The number of girls who have skied is the same as the number of girls who have neither skied nor snowboarded.
The number of boys who have only skied plus the number of boys who have only snowboarded equals the number of boys who have done neither sport.
Twice as many boys have only skied as have only snowboarded.

QUESTIONS:
How many boys have only snowboarded, have only skied, have snowboarded and skied, or have done neither sport?
How many girls have only snowboarded, have only skied, have snowboarded and skied, or have done neither sport?

Time for Basketball!

2009-11-29T22:58:00.002-06:00

Kevin and his teammates scored 62, 59, 76, and 70 points in their first four basketball games. After 5 games their scoring average was 69 points. How many points did they score in their fifth game?

Hooked on Books

2009-11-15T22:04:00.007-06:00

For their fall book reports, Brooke, Carla, Tony, and Nadine each read 4 of the books shown above. Their teacher told them that each book had to be from a different category. Nobody read the same combination of books.
All four students read a mystery, but Brooke and Tony both read the longer mystery.
Everyone except Tony read a book from a series. Nadine was the only one to read the longer of the two choices.
Tony and Carla read the longest book.
Nadine read the biography and the classic that no one else read.
Carla did not read a biography.
Brooke read the longer historical fiction but the shorter biography.
Tony and Carla read the shorter historical-fiction book.
How many pages did each person read?

What's Your Sign?

2009-11-07T21:46:00.002-06:00

+ - x /

In the equation below, replace each question mark with one of the four mathematical signs: +,-, ×, or ÷. Each sign can be used only once. Fill in the blanks to solve the equation. (Hint: the first sign is +.)

7 ? 5 ? 4 ? 7 ? 6 = 15

Fast Flying Birds!

2009-10-30T18:10:00.003-05:00

The fastest flying bird, the Peregrine Falcon, can fly 220 miles per hour. Hummingbirds can fly 27 miles per hour. The loon can fly 90 miles per hour. How much faster can a Peregrine Falcon fly than a hummingbird? How much faster can a loon fly than a hummingbird?

ALBERT EINSTEIN

2009-10-23T18:06:00.001-05:00

Although Albert Einstein was born in Germany, he became an American citizen when he was 61 years old. He was awarded the Nobel Prize of Physics in 1920. If he was born in 1879, in what year did he become an American citizen?

COOKIES CRUMBLE

2009-10-17T22:22:00.004-05:00

QUESTION:

Mrs. Hayes made a batch of cookies for Christian, Dakota, Houston, and Will. The children shared the cookies equally and finished them all right away.
Then Mrs. Hayes made another batch of cookies, twice as big as the first. When she took the cookies off the cookie sheet, 6 of them crumbled, so she didn't serve them to the children. She gave the children the rest of the cookies.
Just then, Mr. Johnson came into the room and ate 2 cookies from the children's tray. Each of the children ate 3 more cookies along with a glass of milk. They were stuffed, so they decided to leave the last 4 cookies on the tray.
How many cookies were in the first batch? How many cookies did each of the children eat?

OUCH!!

2009-09-25T17:39:00.004-05:00

Ouch!
We certainly had some excitement around here last week. It all started when Blake and Will were visiting last weekend. They were riding their bikes when Blake fell and hurt his hand, so he went to the emergency room to check it out. Sure enough, he had a broken finger! After X-rays and a taped up finger, Blake seemed hardly the worse for wear, so we decided to stop by the local ice cream store on the way home.
"Does it hurt much?" asked Will in a worried tone.
"Only when I forget and try to bend it," answered Blake. "I'm glad it's my left hand too, so I can still write."
"What are you thinking about writing at a time like this?" I asked, taking a bite out of my sugar cone.
"Oh, I was thinking of writing Mrs. Hayes. She's on a trip to Washington D.C. and it will be exciting to tell her about my broken finger – especially if I make up a math challenge about it," said Blake, laughing.
I had to admit that this was true. His teacher, Mrs. Hayes just loves math challenges. "As soon as we get home, I'll get some paper and a pen for you. Do you have an idea already?" I asked.
"Yes, in fact I do," said Blake, smiling a bit. "I was listening to the doctor as she was taping up my finger and I got an idea for it."
Here is what Blake wrote to Mrs. Hayes:

Dear Mrs. Hayes,

I fell off my bike and broke one of the finger bones in my left hand. But I have lots more bones in my hands.

Can you figure out how many unbroken bones I have on my hands?
Here are some clues:

I have 2 bones in each thumb.
I have 3 bones in all the other fingers.
I have 2 more palm bones on each hand than finger bones on each finger.
I have 3 more wrist bones on each hand than palm bones on each hand.

See if your students can figure out the answer and tell how they figured it out!

Blake T.

Party Platters

2009-09-18T20:04:00.005-05:00

Food Items and Amounts

Cheese slices 3.02 pounds
Chicken salad 1.5 pounds
Egg salad 2.75 pounds
Ham slices 2.75 pounds
Hot dogs 4.4 pounds
Macaroni salad 2.5 pounds
Potato salad 4 pounds
Sausages 2.37 pounds
Sliced roast beef 2.8 pounds
Turkey slices 2.38 pounds

Party plans are in the works. Samyuth, Whitney, Daniel, and Sidney each bought 2 items from the above list for the party. Not everything on the list was purchased. No two people bought the same thing.
Samyuth bought sliced cheese and 1 of the sliced meats. The sliced meat was the meat that was the greatest amount of all the sliced meats on the list.
Daniel bought meat, but none of it was sliced. The two meats he bought were the same shape.
Whitney bought sliced meat, but it was different from the meat that Samyuth bought.
Sidney bought two salads. The potato salad she bought was 1 and a half pounds more than the other salad she bought.
What were the two items each person bought?
How much did they purchase of each item?
And what was the total weight of the items for each person?

Mitzi's Party

2009-09-11T18:59:00.008-05:00

Mitzi is planning to invite 14 people to her birthday party.
She went shopping with her mother for party supplies. They went through the express check-out line because they had fewer than 15 items. Mitzi and her mother bought cupcakes, plates, ice-cream sandwiches, and juice boxes. There were 3 more cupcakes than juice boxes, but the same number of packages of each.
They wanted to make sure that each person at the party got one of each item. They also wanted to have the least possible amount left over.
How many packs or boxes of each item did they buy?
How many items in all did they buy?

One....Two....Three.....

2009-09-04T19:16:00.002-05:00

This week you will solve three different problems. You may choose to post your answers all at one time or work on them separately. However, ALL posts must be made by midnight on Thursday! I want to see posts from everyone this week!

PROBLEM 1

Replace each blank with the correct digit.
4 3 _ 2
4 5 _
_ 1 2 7
---------
8 8 9 3

PROBLEM 2

Scientists have just discovered people on Neptune. There are 3 villages, 2 cities and 1 super city on Neptune. These are the populations in 1994 and 1996.

1994 1996

Eilosa 129 204
Vertu 308 292
Pridi 90 50
Dedrun 500 600
Antran 700 693
Maran 1200 1500

List the places in order of increasing size in 1994 and 1996.
In which year was the population of the planet greater?

PROBLEM 3

The Teacher has left a clue for the Students to follow at the beginning of each class. These are the clues that the Students have found:

(1) There is a 1 in the thousands place.
(2) The digit in the tens place is 9 times the digit in the thousands place.
(3) Multiply the digit in the thousands place by 2.
(4) The digit in the ones place is a hand without a thumb.
(5) The digit in the hundreds is 2 less than the number in the tens.

Solve the riddle to find the number!

SWIM SCORES

2009-08-28T17:06:00.007-05:00

The swim teams of Danville, Union City, Turner, and Baldwin all competed in a two-part relay race. The team with the fastest total time won the race.
Danville's swimmer took the least time in the first leg but took longer than Baldwin's swimmer in the second leg of the race.
Turner's team came in behind Union City's in the first leg but was fastest in the second leg.
Baldwin had the slowest time in the first leg but took second place in the second leg.
Union had the slowest time in the second leg of the relay.

What was each team's total time and in which order did each team place?

KITTY CORNER

2009-08-23T09:39:00.004-05:00

Question
Nicki and her brother Lee went shopping to buy supplies for their cat. Lee contributed $5.00. Nicki brought all the money she'd earned that week to cover the rest of the cost.
They bought 3 bags of litter, 10 cans of cat food, and 2 bags of cat treats.
They returned a hamster exercise wheel and got a credit of $5.69 to help pay for the cat supplies.
After they made their purchases, they had $2.74 left.

How much money had Nicki earned that week?

MILLION MYSTERY

2009-08-17T07:53:00.003-05:00

What's the mystery number?

It's greater than one million but less than ten million.
It's an even number.
None of the digits is less than 3.
No digit is used more than once.
The sum of the digits in the ones period is 12.
The digit in the ten thousands place is equal to the sum of the digits in the tens and hundreds places.
The digit in the millions place is 2 more than the digit in the thousands place.
The digit in the hundred thousands place is twice the digit in the tens place.

What is the mystery number?

2009-08-10T22:30:00.000-05:00

Rainfall Records

Anna, Marty, Gina, Dwayne, Emily, and Randy each researched the average rainfall for January and July for the city where they live.

1. Anna's city has more rainfall in January than July.
2. Dwayne's city receives three tenths of an inch more rain in January than Emily's city does.
3. Randy's city gets 3.69 inches more rain in July than in January.
4. The January rainfall in Marty's city is 2 inches more than the rainfall in Emily's city.
5. There is less than 0.5 inch of rain in July where Gina lives.

Where does each of the record-keepers live?