June 2016 Parents/Guardians: Next year your student will be enrolled in 6th Grade Honors for his/her math class. When we arrive at school in August, we will briefly review the concepts that they learned in 5th grade. In order to help ensure your student’s success, it is required that your student completes the attached review packet. THIS PACKET IS WORTH 100 POINTS AND IS DUE ON THE FIRST DAY OF SCHOOL! The students will be tested on this material during the first weeks of school. Your student can use their 5th grade notes to help them complete the packet. An additional resource is the website http://www.khanacademy.org. Here students can enter the topic they are learning about and see a tutorial lesson on it. If there are any problems through summer as your student is working on the packet, please feel free to contact me via email [email protected] or the following 6th grade Honors Math teachers: AVM: Mrs. Kephart at [email protected] Brooks: Mrs. Rooney at [email protected] Humphrey: Mrs. Roach at [email protected] Jane Addams: Ms. Tinsley at [email protected] Lukancic: Ms. Letizia at [email protected] Thank you, Christy Vehe Director of 6-12 Math & Science Valley View School District 365U Summer Review Packet 6th Grade Honors Name ___________________________ Directions: Show all of your work and do NOT use a calculator. Packets without work shown will not be accepted for credit. Evaluate each expression. 1. 27 × 45 2. 315 × 269 3. 2608 ÷ 8 4. 5346 ÷ 22 2. 12 + 16 ÷ (3 + 1) Find the value of each expression. 1. 35 ÷ 7 × 2 − 4 3. 25 + 7 (9 − 1) Create an expression equivalent to the given number using the numbers 2, 3, 4 and the symbols +, ×, ( ). You must use all the numbers and symbols. EXAMPLE: 20 answer: (2 + 3) x 4 1. 18 2. 14 3. 11 Fractions Evaluate each expression. 1. 3 3 + 5 4 4. 9 7. 3 4 × 8 7 10. 2 13. 10 ÷ 5 1 + 11 6 4 2 2 ×1 5 3 1 3 3. 4 1 3 −2 5 5 6. 4 2 1 +7 9 6 3 × 12 4 9. 11 × 11. 1 3 5 ×6 8 4 12. 2 ÷4 5 14. 6 10 ÷ 7 11 15. 2 2. 9 4 − 10 15 5. 8 8. 1 3 −2 2 7 4 5 1 1 ÷3 2 3 16. Write a multiplication sentence to represent the total of the values on the cards below: 3 3 3 3 3 _____________________________ 17. Write a multiplication sentence to represent the total of the values on the cards below: 1 8 1 8 1 8 1 8 1 8 1 8 1 8 1 8 1 8 ____________________ Decimals Compare the two decimals using >, =, and <. 1. 0.16 ______ 0.61 2. 3.5 ______ 3.42 3. 4.902 ______ 4.388 Round the number to the given place value. 1. Round 12.48 to the nearest tenth. 2. Round 5.094 to the nearest hundredth. Evaluate the expression. 1. 45 ×10, 000 2. 16 × 0.1 3. 27 ÷ 0.1 4. 11.2 + 4.6 5. 3.17 + 2.8 6. 8.07 − 3.58 7. 8 × 0.2 8. 1.7 × 2.3 9. 0.6 ÷ 3 Geometry Find the perimeter and area of the given polygons. 1. P = ___________ 5 yd A = ___________ 15 yd 2. P = ___________ 7 𝑖𝑛 8 1 𝑖𝑛 2 A= ___________ 3. 4 𝑖𝑛 A = ___________________ 5 𝑖𝑛 Calculate the volume of the rectangular prism. 4. Volume = _____________________ 10 𝑐𝑚 3 𝑐𝑚 2 𝑐𝑚 Conversions 1. Convert 48 inches to feet. 2. Convert 2 meters to centimeters. 3. Convert 15.14 liters to milliliters. Graphing on the Coordinate Plane Label the following parts of the coordinate plane: 1. x-axis 2. y-axis 3. origin Graph the points on the coordinate plane. 1. (3, 5) 2. (0, 4) 3. (6, 2) 4. (2, 0) Ratios and Rates Use the following pictures to answer the questions below. 1. For every 3 cats shown in the rectangle, there are _____________ dogs. 2. Write a fraction that represents the number of dogs compared to the total number of animals shown in the rectangle. 3. If you increase the total number of animals to 60, predict how many cats would be in the group.
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