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									Rainfall Records

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

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

Where does each of the record-keepers live?
Million Mystery

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
      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?

Frigid Forecast
Andy checked his Fahrenheit thermometer at 10:00 each morning during his winter vacation. He
was disappointed because he could not go outside very often, as the weather was extremely cold.

He wrote his notes for each day on scrap paper. The notes are not in order of the days of the

      Tuesday was the warmest day of the week, but still was only 10 degrees below freezing.
       That was 15°F warmer than the day before.
      On Wednesday the temperature was 5°F colder than on Monday.
      Thursday was 1°F colder than Friday.
      Friday's temperature was 6°F below Wednesday's.
      It was 5°F warmer on Saturday than on Friday.

What was the temperature in degrees Fahrenheit each day?
Kitty Corner

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
      After they made their purchases, they had $2.74 left.

How much money had Nicki earned that week?
Polly's Party

Polly 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. Polly 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?
Winter Sports Survey

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.

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?
More Meatballs

Laurie, Olivia, Peter, and Yuri are planning to make meatballs. Each person bought three
packages of meat, totaling between 2 and 3 pounds.

      Everyone except Yuri bought two packages of beef and one package of lamb.

      Olivia bought the largest package of lamb and 2 packages of beef of equal weight.

      The package of lamb that Laurie bought weighed less than the one that Peter bought.

      Peter bought the largest and smallest packages of beef.

      Yuri will make all-beef meatballs. The three packages he bought were of equal weight.
       The total weight of his packages was greater than that of the beef packages that Laurie

In pounds and ounces, what was the total weight of meat that each person bought?
Party Platter
  Food Items and Amounts
     Item         Amount
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. Anna, Garrett, Shakira, and Tika 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.

      Anna 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.
      Shakira bought meat, but none of it was sliced. The two meats she bought were the same
      Garrett bought sliced meat, but it was different from the meat that Anna bought.
      Tika bought two salads. The potato salad she bought was 1 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?
Pie Pieces

Mrs. Hopkins made four different pies for the fair. Each pie was the same size. At the fair, she
cut the blueberry pie into 6 equal slices, the apple pie into 5 equal slices, the peach pie into 3
equal slices, and the chocolate pie into 4 equal slices.

Alyssa, Dalton, Rowan, and Shane each bought one slice of pie but ate only a portion of that
slice. Each chose a different kind of pie.

      Alyssa bought the largest slice available and ate of it.
      Dalton bought the smallest slice available and ate of it.
      The slice Rowan bought was bigger than the slice Shane bought. Rowan ate of his slice.
      Shane ate of his slice.

What kind of pie did each person choose?
What fraction of the total pie did each person eat? Simplify the fractions in the answer.
Mugs, Jugs, &

At their school fundraiser, the fifth-graders collected $476.25 by selling school mugs, water jugs,
and tote bags.

      They sold $115.50 worth of school mugs.
      The money collected for the mini tote bags was $3.00 less than that collected for the
      The money collected for the full-size tote bags was $7.50 more than the money collected
       for the mini tote bags.

How many of each item was sold?

More for the Floor

Nika is selecting floor tiles for her room in her 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?
Package Pile
Amanda, Curtis, Driscoll, Lori, and Trevor each filled a different box of classroom supplies to
store for the vacation. They have piled them into a stack 43 inches high.

      The volume of Lori's box is the least.
      Driscoll's box has the greatest volume.
      The volume of Amanda's box is less than the volume of Trevor's box.
      The volume of the box Curtis filled is greater than the volume of Trevor's box.

The table below shows the measurements of each of the five boxes.

   Box 1      Box 2      Box 3      Box 4      Box 5
l = 15 in. l = 15 in. l = 18 in. l = 13 in. l = 17 in.
w = 11 in. w = 12 in. w = 13 in. w = 12 in. w = 12 in.
h = 9 in. h = ?       h = 10 in. h = 9 in. h = 7 in.

Match the person with the volume of the box he or she filled.

Project Percents
Austin, Cheyenne, Jasmine, Kareema, and Madeline each have to answer 100 questions for their
geography project. The information below describes the status of each student's project on the
day before it is due.

      Austin has answered of the questions.
      Cheyenne has answered 10 fewer questions than Austin.
      Jasmine has answered half as many as Cheyenne.
      Kareema has answered 0.3 of the questions.
      Madeline has answered 6 more questions than Kareema.

What percent of all the questions has each person answered?
Royal Teams
Five teams competed in field-day events in which it was possible to score 60 points.

      The Crowns scored 35% of the possible 60 points.
      The Royals scored 54 of the possible points.
      The Knights scored half as many points as the Royals.
      The Bishops scored 12 fewer points than the Knights.
      The Dukes scored of the possible points.

What percent of the total 60 points did each team score?
List the teams from first to fifth place, with the highest-scoring team listed first.

Party Pitchers

At his birthday party, Derrick served lemonade and punch. The pitchers show how much
lemonade and punch was left over after the party. As he cleaned up, Derrick poured all the
leftover lemonade into a polka-dot pitcher. He poured all the leftover punch into a striped
pitcher. Before the cleanup, this is what Derrick saw.

      Three pitchers had lemonade and three pitchers had punch.
      Two pitchers had the same amount of liquid. One pitcher contained lemonade; the other
       contained punch.
      The pitcher that had the least amount of liquid contained lemonade.
      One pitcher of punch was full. That pitcher was twice as full as another pitcher of

After the cleanup, how full was the polka-dot pitcher?
How full was the striped pitcher?
Walk 'n' Talk

Henry began his afternoon walk at 2:45, leaving from his house to visit a friend. For every 5
minutes he walked, he traveled north 2 blocks and east 1 block. He started on the corner of C
Street and Second Avenue. He arrived at his friend's house at 3:10 in the afternoon.

On the corner of which streets does his friend live?

Bonus Question: Henry then spent 2 hours and 20 minutes at his friend's house. When he left,
he walked to the store at the corner of K and Sixth Streets at the same rate as his earlier walk
(though in a different direction). He spent 10 minutes at the store before walking home.

If he walked home at the same rate as his other walks, at what time did get home?

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