Summer Math Packet For Students Entering Grade 7

Transcription

1 Summer Math Packet For Students Entering Grade 7 The Summer Math Packet is just what you need to keep your skills sharp over the summer so you are ready for 7 th grade math. Please do the even numbered problems to the best of your ability and remember to show your work. You may use your online textbook as a resource. Your 7 th grade mathematics teacher will be reviewing the packet during the first few days of school and then an assessment will follow. Please turn in your completed packet to your math teacher when you begin school in September. The 7 th Grade Mathematics Teachers Student s Name Access to online textbook: User name Password Review and Practice of Summer Math Packet th Grade Skills needed for 7 th Grade For Students Entering Grade

2 6th to 7th Summer Math Packet Please do the even numbered problems to the best of your ability and remember to show your work. Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which of the inequalities is true? a. c. b. d. 2. Which of the inequalities is true? a. c. b. d. 3. Which of the following ratios is equivalent to 63 : 81? a. 21 : 27 c. 7 : 8 b. 9 : 12 d. 8 : 9 4. Which of the following ratios is equivalent to 56 : 32? a. 2 : 1 c. 26 : 16 b. 64 : 40 d. 14 : 8 5. Which of the following is not equivalent to 48%? a. 24 out of 50 c. b. d of 96% 6. Which of the following is not equivalent to 78%? a. 39 out of 50 c b. d. of 86%

3 Short Answer 1. What is the greatest common factor of 28 and 36? 2. What is the greatest common factor of 27 and 45? 3. What is the value of? 4. What is the value of? 5. What is the sum of? 6. Adam and Stacy are playing a video game. Stacy has 16 points and Adam has 8. What is the difference in their scores? 7. Given that, what is the value of?

4 8. Given that, what is the value of? 9. What is the value of? 10. What is the value of? 11. What is the value of? 12. What is the value of? 13. What is the value of?

5 14. What is the value of? 15. Solve. 16. Solve. 17. Solve. 18. Solve n + 3 = Solve.

6 20. Solve. 21. Solve 19m = Solve 15m = Jerry has 15 ounces of cheddar cheese. He wants to cut as many -ounce pieces as he can. How many - ounce pieces of cheese can jerry cut? 24. Rachel has a ribbon that is 14 feet long. She wants to cut it into pieces. How many pieces of ribbon will she have? 25. Draw a horizontal number line to represent common multiples of 3 and 4 between 20 and 50.

7 26. Draw a horizontal number line to represent the odd numbers greater than 33 but less than Write 56 as a product of its prime factors. 28. Write 84 as a product of its prime factors. 29. Find the least common multiple of 4 and Find the least common multiple of 8 and What is an inequality that could represent the following statement? Having a balance of $52 in your account is better than having a balance of $84.

8 32. Write an inequality for the statement: The elevation of diver 1 was 12 meters, which is deeper than the elevation of diver 2 at 5 meters. 33. A loaf of bread is 2.8 feet long. Toma wants to cut the bread into 0.3-foot pieces. How many 0.3-foot pieces can Toma cut? 34. A container of dry cat food has 12 cups of food. If a cat eats about 0.35 cups of the cat food each day, how many full days will the food in the container feed the cat? 35. It takes Printer A 3 minutes to print a brochure. It takes Printer B 9 minutes to print the same brochure, and it takes Printer C 15 minutes. If the three printers start printing together, how long will it take them to have all printed a whole number of brochures at the same time? 36. It takes Printer A 3 minutes to print a brochure. It takes Printer B 9 minutes to print the same brochure, and it takes Printer C 15 minutes. If the three printers start printing together, how long will it take them to have all printed a whole number of brochures at the same time? 37. There are as many black pants as blue pants in George s closest. There are as many black pants as brown pants in his closet. What is the ratio of the number of black pants to the total number of pants in the closet?

9 38. There are as many barrettes as hair ties in Sasha s hair supplies. There are as many barrettes as hair bands in her supplies. What is the ratio of the number of barrettes to the total number of hair ties and bands? 39. It costs Janelle $3 to send 60 text messages. How many text messages can she send if she only wants to spend $2? 40. A computer can burn 16 CDs in 48 minutes. How many CDs can the computer burn in hours? 41. Some dark chocolate costs $0.32 per ounce. How much will 3 pounds of the chocolate cost? 42. Silver ribbon costs $3.25 per foot. How much do 3 yards of ribbon cost? 43. Ms. Koh has a movie collection. She has 18 comedies and 32 action adventure movies. What percent of the movies are action adventure movies?

10 44. A home goods store has 78 dinner forks and 162 salad forks on sale. What percent of the forks are salad forks?

11 Additional Problems for students entering Math 7-Algebra Prep Please complete all of the following problems: 45. The regular price of a pair of sneakers $62. Aisha buys the sneakers when they are on sale for 70% off of the regular price. If there is a 5% sales tax, how much does Aisha pay for the sneakers? 46. What is the value of the expression when w = 4? 47. A loaf of bread costs b dollars. A rotisserie chicken costs 4 times as much as the bread. A bag of mixed greens costs $3 more than the bread. How much more does the chicken cost than the bag of greens? 48. A chain of tile stores each get a shipment of tiles. Each store gets the same number of crates of plain tiles and of patterned tiles. Complete the table.

12 49. Find the ratio of the unshaded area to the shaded area of the square. 50. A community center is filling a pool with water. After m minutes, the volume of water in the tank is 3(4m + 1) gallons. What is the volume of water in the pool after 8 minutes? 51. Pete had (30d 8) dollars. He bought 3 sandwiches and 8 bags of chips. Each sandwich cost 5d dollars. Each sandwich cost as much as 4 bags of chips. How much money did Pete have after buying the sandwiches and chips?