St. Michael s Episcopal School. Summer Math

Transcription

1 St. Michael s Episcopal School Summer Math for rising 7 th grade pre-algebra students 2017 Students entering pre-algebra should be proficient in working with integers, fractions and decimals and order of operations. To maintain skills through the summer, students are expected to complete the attached review problems, showing all work. The summer skills packet will be collected on the first day of school and graded. Students are also encouraged to use math throughout the summer. Suggested activities include: *Play games with other people. Board games such as Monopoly, checkers and chess require logic and/or math skills. Set, 24, Sudoku, and many card games require logic and strategy. *Worksheets, computer games, and word problems that require students to add, subtract, multiply, and divide without a calculator provide needed practice. Include operations with fractions and decimals. *Real life situations often require math. Measuring and adjusting recipes, figuring a checkbook, determining a trip s costs and mileage are all opportunities to use math. Compare the costs of driving or flying for a vacation trip. Graph swim times or the price of gasoline each week. Determine tips, change and taxes on purchases.

2 Summer Review 2016 Attach notebook paper to show work. Name: Number your problems. Simplify Express as a decimal. Show your work. 3 8 Round to the hundreds place 6. to the hundredths place 7. to the nearest whole Evaluate the following expressions when j = 12 and k = 4. Watch signs j k 9. j k 10. 2k 11. jk Estimate the product to the nearest whole Write as a percent. Use >, <, o r = to complete each of the following Show work to justify your answer.

3 17. Express as a fraction in lowest terms. 18. Name the parts of the circle below. SP RQ Draw chord SQ. 19. The radius is 4½ cm. What is the diameter of the circle? cm What is the circumference? Use the formula, C = πd 20. What are the coordinates of the graphed point? 21. What is the measure of a?

4 = There are 12 cubes in a bag. Four are red, 3 are blue, 2 are orange, and 3 are yellow. Find the probability of drawing the following: 24. P( yellow) 25. P (red or orange) 26. To make 24 cookies, a recipe requires ¾ teaspoon of vanilla. How much vanilla is needed for a dozen cookies? 27. Write 6,230,000 in scientific notation. 28. Express the prime factorization of What is the total cost of an item priced at $12.75 if there is a 5% sales tax? Find the product and simplify if necessary Find the quotient and simplify if necessary

5 36. What is 12% of 50? Show your work. 37. One centimeter on a map represents 50 miles. What is the actual distance between two cities that are 6.5 cm apart on the map? 38. Find the missing number ³ = input output Circle the numbers that are factors of 492? 2, 3, 4, 5, 6, 9, 10 Use the rules of divisibility. 41. What is the square root of 81? 42. Find the product of Show your work. Go back and compare your answer to your estimate for # To make green paint, a painter mixed yellow paint and blue paint in the ratio 3:2. If he used 12 gallons of yellow paint, how much blue paint did he use? 44. A sum of money was shared between Susan and Nancy in the ratio 2:5. Nancy received $36 more than Susan. How much money did Susan receive? You may use unit bars to solve the problem.

6 45. What fraction of 2 hours is 20 minutes? Simplify. 46. What fraction of one pound is12 ounces? Simplify. Write each fraction as a decimal Jane bought 1 of a cake. She ate 1 of it. She cut the remaining cake into 2 equal slices. What 2 4 fraction of the whole cake was each slice? 50. Divide Show your work. 51. The Dark Ages ended in What is the Roman numeral for 1066? 52. Subtract 1066 from Show your work. 53. One kilometer = meters. 54. One meter = centimeters : 8 : 20 = 3 : : 56. The product of two numbers is 48. The sum is 16. What are the numbers?

7 57. Find the perimeter of the rectangle below. Label your answer. 58. Find the area of the rectangle. Label your answer. 59. Find the perimeter of the square if one side is 8 inches in length. P = inches Find the area of the square. A = in The stem-and-leaf plot below shows the ages of guests at a restaurant. Find the following: Mean Median Mode Range Express your answer as a mixed number in simplest form.

8 62. 35% of what number is 80? is what percent of 60? 64. Find the sum of Divide Express 7 as a decimal and as a percent Find the GCF of 12, 24, and Identify the figure. Be specific. 69. What does regular mean in geometry? Draw a regular figure. 70. Express 5 16 as a decimal. 71. Match: sum quotient product difference a. the answer to a subtraction problem b. the answer to a multiplication problem c. the answer to an addition problem d. the answer to a division problem

9 72. If a car is traveling at an average speed of 55m/hr. on a 330 mile trip, how long will the trip take? 73. Simplify Draw a figure with horizontal reflection. Draw the line of symmetry. 75. Draw a figure with rotational symmetry What is the main difference between parallelograms and trapezoids? 78. Divide Use >, <, or = Multiply John is packing his lunch. He needs a sandwich and fruit. How many different lunches can he prepare if he has the choice of cheese or peanut butter on white or whole wheat bread. His fruit selection includes grapes, an apple, or a banana. He can make different lunches. List the lunches or draw a tree diagram.

10 82. Change 5 3 to an improper fraction Change to a mixed number A right isosceles triangle has angle measures of,, and. 90. Multiply List the first twelve multiples of 7. 0,,,,,,,,,,,, 92. If 2 3 = x 60, then x = 93. Order the fractions from least to greatest. Make equivalent fractions with a common denominator

11 94. Use >, <, or = to complete the statement How many quarter pounders can Ronald McDonald make with 80 pounds of beef? 96. There are 125 students in the Middle School. If 3 of them are girls, how many girls are in the 5 Middle School? How many boys are in the Middle School? ounces = pounds. 98. Express 38 % as a decimal and as a fraction in lowest terms. 99. List all of the factors of Find the sum. Simplify