Summer Math Packet 7 th Grade Math

Transcription

1 Name School The following packet of material contains prerequisite skills and concepts that will be drawn upon from 6 th grade, for success in 7 th Grade Math. The majority of the material contained in this packet falls within the range of concepts covered in 6 th grade.. Order the following sets of numbers on the number line from least to greatest. 6 a.,,, least greatest a. -, -, -, 9 b.,,, least greatest 9 b. -, -,,. Candy has to paint the fence shown below. If she can paint / of each section in ½ an hour, how long will it take her to paint the entire fence? one section 6 hours. The snow at my aunt s winter house is up to feet. A new storm added feet. What is the snow level now? ft. 7

2 . Which one of the following fractions is not equivalent to the others? 0 a. b. c. d. 0 Show how you found your answer. c. 0. Stephanie is making lasagna for a party. The recipe uses: teaspoons of basil, teaspoons of salt, teaspoons of pepper, teaspoons of parsley. If she needs to double the recipe, how many teaspoons will she use of each ingredient? Show all your work. Basil- teaspoons Salt- teaspoon Pepper- teaspoon Parsley- teaspoons 6. A cupcake weighs ounces. How many cupcakes are there in a 0-ounce package? cupcakes 7. Elizabeth has a piece of ribbon that is. meters long. She wants to cut it into pieces that are 0. meter long. How many pieces of ribbon will she have? pieces

3 . Cheryl bought. pounds of coffee that cost $6.9 per pound. How much did she spend on coffee? $.6 9. Which of the following quotients has the greatest value? a) b) c) d) b) Judith is planning a birthday party at her house. She has 6 slices of pizzas and Capri Suns. What is the maximum number of people she can have at the party so that each person gets the same number of slices of pizza and the same number of Capri Suns? Show all work. people. Write each phrase using numbers and symbols. a. A number divided by. x b. A number less than 0. 0 x c. The sum of a number and six, times three. ( x + 6) d. Twelve added to half of a number. + x

4 . Which expression is not equivalent to the expression? a) ( 6) b) ( )9 c) 7 d) 9( ) d) 9( ). Use the table below to answer each question. Continent Highest Point Elevation above sea level (ft.) Lowest Point Elevation below sea level (ft.) Africa Mt. Kilimanjaro 9,0 Lake Assal Asia Vinson Massif 6,066 Bently Subglacial Trench, 7 Asia Mt. Everest 9,0 Dead Sea, 9 Austrailia Mt. Kosciusko 7,0 Lake Eyre Europe Mt. Elbrus,0 Caspian Sea 9 North America Mt. McKinley 0,0 Death Valley South America Mt. Aconcagua, Valdes Peninsula a) What is the highest elevation on Earth? What is its elevation? Mt. Everest 9,0 ft. b) What is the lowest elevation on Earth? What is its elevation? Bently Subglacial Trench -,7 ft. c) Which point on Earth is higher Mt. Elbrus or Mt. Kilimanjaro? Mt. Kilimanjaro d) Which point on Earth is lower the Caspian Sea or Lake Eyre? Caspian Sea

5 . Janie and her friends played a question and answer game. Their scores at the end of the game were,,, 6,, 0, and. Find the median score of the game.. The average temperatures for one week in Alaska are as follows: 0, 6, 9, 6,, 0,. What is the mean of these temperatures? Show all work.. 6. When Charles eats Oreos, he likes to dunk out of every cookies in a cold glass of milk. If he eats a total of Oreos, how many will he dunk? How many will he eat without dunking? Use a proportion to solve and show all work. 9 cookies 7. If you can buy gallons of gas for $.60, what is the cost per gallon? Use a proportion to solve and show all work. $.0

6 . Paulette can bake a batch of cookies with eggs and cup of water. How many batches of cookies can Paulette bake if she has 0 eggs and 7 cups of water? Use a proportion to solve and show all work. batches 9. Sixteen of 0 dogs in at a rescue kennel are puppies. What percent of the dogs in the kennel are puppies? Use a proportion to solve and show all work. 0% 0. The ratio of girls to boys in a seventh grade class is to 7. Using this information, which of the following statements are possible? Use proportions and words to explain your choice(s). a. boys are in the class c. 0 girls are in the class b. people are in the class d. people are in the class b. people are in the class c. 0 girls are in the class. A subscription for magazines cost $. The same company is offering magazines for $70. Which is a better deal? Why? magazines for $70. You took a 0 question test and received a 6% on the test. How many questions did you answer correctly? Use a proportion to solve and show all work. questions

7 . Calculate the area of the rectangle below. Show your work. Area = length x width ½ in. / in.. in. If the perimeter of Milo s rectangular backyard is 6 feet. Which of the following could be the dimensions of the yard? Circle all that apply. Explain your choice(s). a. 6 feet by feet b. feet by feet c. 7 feet by 9 feet d. feet by feet a. 6 feet by feet d. feet by feet