Page 1 St. Michael s Episcopal School Summer Math for rising 6 th grade students 2017 Students entering Sixth Grade should have mastered all basic facts, understand and identify place values to hundred thousandths, and be proficient in adding, subtracting and multiplying decimals and fractions. 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.
Page 2 1. Round 4,825 to the nearest a. Tens b. Hundreds c. Thousands 2. 0, 4, 8, 12,,, 3. The product of 12 and 3 is 4. 3 + 4 x 3 5. Three weeks have days 6. If n + 7 = 11, then n = For questions 7-8, use a = 3, b = 4, and c = 6. 7. a + b 8. c a
Page 3 1. 3 x 3 x 3 2. The difference between 9 and 2 is 3. 7 hours = minutes 4. 1, 10, 2, 9, 3,,, For questions 5-7, use a = 6, b = 3.5, and c = 0.12 5. a + b 6. b x c 7. a + c - b
Page 4 1. Test the number, 2,025 for divisibility by 2, 3, 4, 5, 6, 9, and 10. Circle your answers. Find the sum. 2. 6.9 + 12.15 + 7 3. 3 2 3 + 21 3 4. You buy lunch, buying 2 slices of pizza at $ 1.75 each, and a drink which costs $ 1.50. How much does your lunch cost? 5. 1 2 of 30 6. If n 12 = 2, then n = 7. What fractional part of the pizza has been eaten? 8. If there are 50 dimes in a roll of coins, then it is equal to dollars.
Page 5 1) 28, 64, 32, 16,,, Find the difference for problems 2-4. 2. 3.72 1.4 3. 5 8-1 2 4. 2 5 6-1 2 3 5. A store is selling CD s for $18 each. It sells 52 CD s on Saturday. How much money does the store make on CD s Saturday? 6. Three centuries equal years. 7. 2 meters = centimeters 8. You started reading a book at 5:15 PM and finished at 8:40 PM. How long were you reading? 9. Find the perimeter of a rectangle with 12.5 in 14.3 in
Page 6 Round 17.3825 to 1. Tenths 2. Hundredths 3. Whole number 4. Thousandths 5. In Jamie s dresser, there are 6 black socks, 10 white socks, and 8 orange socks (his favorite color). If he picks one without looking, what is the probability that he would choose an orange sock? 6. List the number of sides in the following shapes. a. Pentagon b. Octagon 7. What is the perimeter of a square if each side is 2 1 inches long? 2 8. Circle the best estimate for the weight of a cow. a. 1,000 pounds b. 1,000 grams c. 1,000 tons 9. What is the range of these numbers? 24, 52, 17, 38, 13, 22, 30, 41 10. Complete with,, or = a. 1.78 1.722 b. 1.009 1.1
Page 7 1. What is the name of this shape? 2. What are two prime numbers between 10 and 20? 3. What is the simplified fraction equivalent to 0.32? 4.Three hours earlier than the time shown would be For questions 5-8, use a = 1 2, b = 3 4, and c = 3 5. 5. b - c 6. a + c 7. c b 8. 6 x a 9. Arrange in order from smallest to largest. 3.2, 2.33, 0.32, 0.322, 0.223 10. What fractional part of a year is 8 months?
Page 8 Change the mixed numbers to improper fractions for problems 1-4. 1. 2 1 3 2. 1 3 4 3. 4 5 6 4. 5 1 2 5. Circle the smallest fraction 1 7 1 3 1 10 6.What is the mode of these numbers? 3, 7, 2, 8, 4, 7, 2, 1, 9, 4, 7, 5, 9 7.What is the reciprocal of 2 3? 8.What kind of angle is this? Circle: Acute Right Obtuse