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Grade 5

Grade 5 Summer Math Tune-ups

For Students Completing Fifth Grade

This summer math booklet was developed to provide students who have completed fifth grade a list of web sites and activities to explore over the summer. Sixth grade math consists of many different topics and learning strategies. This Web page is designed to assist students in building math skills over the summer and use real life applications in order to enhance the learning process. The first part is a list of useful math web sites. The second part of the Web page is a series of math activities that students may work on over the summer. Many of the Web sites listed help students build on the skills of problem solving, reasoning, computation, and real world applications. Several of the Web sites also have some fun games and list specific math topics. The activities on this page are designed to reinforce those skills introduced in fifth grade and lay the foundation for the sixth grade math program.

Summer Math Student Web Sites

The Conant School Summer Math Challenge

Bronze Medal Round

As part of our summer review try some of these math problems to get you started. Once you get the hang of it, feel free to make up your own. The goal is to complete at least 5 multiplication and division problems a week over the summer. Start with these. 
  1. Solve the following multiplication problems:

  2. 43
    x 9
    x 45
    x 56
    x 40
    x 60
    x 39

    Now make up 10 more of your own. Check with a calculator to see how you did.
  3. Use long division to solve the following problems. 87÷15 = 234÷24 = 1,687÷46 = 14,296÷34 = 568÷34 = Now make up at least 5 of your own. Check your work with calculator.
  4. Have your parent quiz you on your multiplication basic facts for 10 minutes.
Congratulations! Upon Completion of this first group you have earned the Bronze Medal. Now you are eligible for the next set of challenges.

Silver Medal Round

This week we will take a break between trips to raise some money and play some sports. Choose 5 of the following activities to complete.

  1. Brendan is walking dogs this summer to earn money for his own computer. He makes $28 Monday, $31 Tuesday, $37 Wednesday, and $32 on both Thursday and Friday. What was his average income for those 5 days? If the computer and 4 programs cost $250, about how many weeks until Brendan can buy them?
  2. Shona’s volleyball team played 4 games. In them, the team scored 14, 12, 9, and 5 points. Joey’s team scored 11, 8, 20, and 3 points. Which team has the better points per game average? How do you know?
  3. The temperature for one week in July was 98†, 95†, 89†, 98†, 93†, 99†, and 100† Fahrenheit. What was the week’s average temperature?
  4. This week you are a meteorologist. Keep track of the high and low temperatures each day this week. Find the average high and low temperatures for the week.
  5. Make an organized list of all of the different sandwiches you can make be selecting one bread type, one vegetable topping, and one meat topping from the following chart.

    Bread Dressing Meat
    White Mustard Turkey
    Wheat Mayonnaise Sausage
    Roll Relish Ham

    How many combinations were you able to make?
  6. Make a stem and leaf plot for the following information. You and your classmates have all agreed to read at least 10 books over the summer. At the end of summer the 25 students shared the results with their new teacher. 
    Write a paragraph explaining how to make a stem and leaf plot. You should also include how a stem and leaf plot is used. You may give examples.

Silver Medal Round-Group B

    This week we will focus on a trip to the Acton Boxboro Community Pool. Tim and Pete are helping to organize the The Conant School’s swim meet. Complete four of the following activities to make it a success.

  1. Tim and Pete were told to make sure the club’s swimming pool was large enough for the swim team’s upcoming meet. The pool needed an area of at least 2400 square feet. If the pool was 80 feet long and 40 feet wide, can they host the meet? Explain your answer. 
  2. The members of the Patriots Hill Pool Club want to build a fence around their pool. The fence will make a rectangle 110 feet long and 90 feet wide. How many feet of fencing will the club need to purchase all together? 
  3. If the pool is 4 feet deep throughout the entire pool, how many cubic feet of water does it hold? Explain your answer. 
  4. The Summer Pool Club has a kiddie pool that is 6 feet by 12 feet. The Sun Pool Club’s kiddie pool is 11 feet by 7 feet. Who has the larger kiddie pool? By how many square feet? 
  5. Give an example of something that you would measure in each of the following units:
    km cm
    m mm

    Congratulations! You have now earned a silver medal. Now that you have completed this set of activities it’s time to go for the gold medal. Complete the final group and it is yours. Good luck.

Gold Medal Round-Group A

    During the first week of summer vacation, we will focus on a field trip to Six Flags. A successful trip has you completing four of the following activities.

  1. The fifty-six members of the Conant’s Fun Club went to Six Flags for a club activity. Each member had fun riding 39 rides during the day. What was the total number of rides club members enjoyed? 
  2. Write your own word problem for the following problem: 
    37 x 84 = ? 
  3. During the Conant School teddy bear sale, each participating member sold 72 bears. There were 46 members participating in the fund raising sale. How many bears were sold? 
  4. Kayla wishes she could spend the entire summer at Six Flags. She figures out that she could ride 58 rides per day. She knows the park is open 7 days a week and that her summer vacation is 9 weeks long. If she could stay there all summer, how many rides would Kayla be able to go on during the summer? 
  5. Write down 5 multiplication and division fact families. For example:
    2 x 3 = 6 3 x 2 = 6 6 ÷ 3 = 2 6 ÷ 2 = 3

Gold Medal Round-Group B

    This week let’s spend some time sight-seeing in Boston. We will use the T to get from place to place. Complete 5 of the following activities related to your sight-seeing adventures.

  1. It takes 34 minutes to travel from Alewife to the Franklin Park Zoo. At what time do you need to leave the Alewife stop to get to the Franklin Park Zoo stop by 11:00 a.m.? 
  2. You get to the zoo at 11:15 a.m. If you spend an hour eating lunch and 3 hours touring the zoo, what time will it be when you start back home? 
  3. You and your friends decide to take a Duck tour bus through Boston. The tour leaves the Prudential Center at 1:00 p.m. and returns at 4:30 p.m. How long is your tour? If you paid $28.00, how much did the tour bus company charge per hour? 
  4. While visiting the Museum of Science, you and your friends decide to schedule your time in each exhibit. You plan to spend 25 minutes looking at the NASA Exhibit, 45 minutes with the animal exhibit, 35 minutes studying the birds, 20 minutes in the gift shop, and the rest of your time looking at insects. If you have three-and-a-half hours to spend at the museum, how much time will you get to spend looking at insects? 
  5. At the Museum you want to watch one of the IMAX movies. It will start at 11:30 a.m. and run for 1 hour and 25 minutes. What time will the movie be finished? 
  6. Calculate the following. Simplify your answers.

    3 weeks 2 days x 5
    6 weeks 5 days x 4

  7. How many hours are there in 4 days? How many days are there in three weeks?

Gold Medal Round-Group C

    The time has finally come for a fun-filled trip to Cape Cod. You are getting ready for a week of eating lobsters, playing miniature golf, and swimming in the ocean. Complete the following activities.

  1. The drive from Acton to Cape Cod will take 2 hours and 50 minutes. If you and your family leave at 11:45 a.m., what time will you arrive at the Cape? How long is it round trip? 
  2. In Hyannis, you arrive at your favorite arcade. While there, you survey the other people present about their favorite arcade games. Eighteen say they like driving games best, 25 prefer adventure games, 18 enjoy sports games, and 14 favor battle games. Create a graph representing the data from your survey. 
  3. At the arcade you notice something interesting. The ratio of boys to girls is 2 to 3. If there are 75 people in the arcade all together, how many are girls? 
  4. You and your family stop a Bertucci’s for pizza. You order an extra large pizza with 18 slices. You father eats 1/3 of the pizza, your mother eats 1/6, and your two little sisters each eat 1/9. How many slices are left for you? 
    You would prefer to eat 2/9 of the pizza. Is there enough for you to do that? 
  5. At the beach, you notice many people are making sand designs. Draw a geometric design of a shape that contains 5 right angles, 5 obtuse angles, and 5 acute angles. Label the angles. 
  6. At the mini golf and batting cage, you compared the number of people golfing to the number of people at the batting cage. The ratio was 4:5. If there were 36 people golfing, how many were at the batting cage? How many were there in all? 
  7. Your family decides to conclude its fabulous beach trip with a lobster feast. Your father orders 3 dozen lobsters. Dad eats 18 of the lobsters, mom eats 9 lobsters. You eat 6 and your little sister eats 3 lobsters. What fraction of the lobsters does each person get? Write your answers in simplest form.

Fantastic Finish! You have completed the Conant School Math Challenge. With a great finish you have now earned a gold medal!