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Incoming 8th Grade Math Packet

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Russell O. Brackman Middle SchoolSeventh <strong>Grade</strong> Summer Review <strong>Packet</strong>For Students Entering 8 th <strong>Grade</strong>DUE THE FIRST FULL DAY OF SCHOOLYou have heard it said that “math is not a spectator sport.” Thismeans that the way a person becomes good at math is by “doingmath”. Since it is important to exercise your mathematicalthinking so that you remain in “good mathematical shape”, wehave designed the problems in this packet to help you reviewtopics from this past school year.Please try to do each problem and show all of the work that goeswith that answer. If you need help use the following site to helpyou: www.math.comThis packet MUST be completed by the first full day of school.Students who turn in the summer math review will receive 100%as their first quiz grade of the year.7th <strong>Grade</strong> Summer <strong>Math</strong>ematics ReviewFor Students Entering <strong>Grade</strong> 81


7th <strong>Grade</strong> Summer <strong>Math</strong>ematics ReviewRussell O. Brackman Middle School13. Identify each of the polygons. Begin with thetriangle and continue to the outermostpolygon.14. Mr. Nguyen saves $120 of his income of$800.00. What percent of his income doesMr. Nguyen save?15. The diameter of a circle is 8 cm. Using theformula C = πd, find the circumference of thecircle. (π = 3.14)16. The town of Pratt has a population ofabout 8,260,000. Express this number inscientific notation.17. 3x + 2 = 9In the above equation:What is the variable? _______________What is the coefficient? _____________18. A tree 5 feet tall has a shadow that is 14feet long. If another tree casts a shadow 21feet long, at the same time of day, how tall isthe tree?19. Write a proportion to show that the twoquadrilaterals below are similar.20. Decrease seventy-two hundredths by twotenths. Write the equation used to solve thisproblem.21. Ms. Ramos gives 8% of her income to charity.Ms. Ramos’ monthly income is $2000. Howmuch does she give to charity each month?22. A rectangle has a perimeter of 30 m. Thelength is 10 m. Solve the following equation tofind the width.2w + 2(10) = 30For Students Entering 8 th <strong>Grade</strong> 3


7th <strong>Grade</strong> Summer <strong>Math</strong>ematics ReviewRussell O. Brackman Middle School23. Estimate the area of a garden plot with alength of 9.45 m and a width of 3.76 m.24. Write 80% as a fraction in lowest terms.___________Write 80% as a decimal. _________Show the decimal on the number line.25. Write the factors of 8._____________________________Write the factors of 12.______________________________26. The Munchery advertises that you canhave a different lunch combination every dayof the year. They offer 12 different kinds ofsoups, 6 different sandwich meats and 4different kinds of bread. Is their claim valid?Explain.Find the greatest common factor (GCF)of 8 and 12._______________27. Find the volume of the solid. 28.29. Evaluate this expression: 30. Simplify your answer:For Students Entering 8 th <strong>Grade</strong> 4


7th <strong>Grade</strong> Summer <strong>Math</strong>ematics ReviewRussell O. Brackman Middle School30. What point has the coordinate (2,3)?______________Graph the ordered pair (4, -5).31. Jose’s grandmother gives him $0.10 onSunday. On Monday, she gives him $0.20. OnTuesday, she gives him $0.40. If shecontinues this pattern, how much money willshe give him on Saturday of that week?32. Rewrite using exponents.4 x 4 x 7 x 7 x 7_____________________________33. Suppose there are 2 choices for icecream cones: sugar and cake, and there are 3choices for ice cream: chocolate, vanilla andstrawberry. Draw a tree diagram to determinethe number of possible combinations.34. This is a frequency table of students’ testscores on one test. Find the mode, median, andmean of these scores.35. Jose plans to buy a pair of jeans that areon sale for 25% off. If the regular price is$48, how much will he have to pay?For Students Entering 8 th <strong>Grade</strong> 5


7th <strong>Grade</strong> Summer <strong>Math</strong>ematics ReviewRussell O. Brackman Middle School36. Find the surface area of the rectangularprism. (The base is a square.)37. Solve:38. Solve: 39. There are 24 marbles in a bag. Six marblesare red, eight are green and ten are black.Find the probability of choosing a green marbleif one marble is chosen at random.Express the probability:as a ratio ____________________as a decimal __________________as a percent __________________40. If the boys sell 300 hot dogs, how much would they expect to earn?__________________For Students Entering 8 th <strong>Grade</strong> 6

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