St. Michael s Episcopal School Summer Math for rising 6 th grade students 2016 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 1 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 7-10, use a = 3, b = 4, and c = 6. 7. a + b 8. c - a 9. 5 x c 10. c a
Page 2 1. 3 x 3 x 3 2. The difference between 9 and 2 is 3. 39 3 4. 7 hours = minutes 5. 1, 10, 2, 9, 3,,, 6. 10 3 x 2 For questions 7-10, use a = 6, b = 3.5, and c = 0.12 7. a + b 8. b x c 9. 2 x c 10. a + c - b
Page 3 1. Test the number, 2,025 for divisibility by 2, 3, 4, 5, 6, 9, and 10. Circle your answers. 2. Find the equivalent decimal for 3 4. Find the sum. 3. 468 + 946 4. 6.9 + 12.15 + 7 5. 3 4 + 1 2 6. 3 2 3 + 21 3 7. 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? 8. 1 2 of 30 9. The sum of a number and 12 is 36. Find the number. 10. If n 12 = 2, then n =
Page 4 1. List all the factors of 20.,,,,, 2. What fractional part of the pizza has been eaten? 3. If there are 50 dimes in a roll of coins, then it is equal to dollars. 4. 128, 64, 32, 16,,, Find the difference for 5-8. 5. 113 66 6. 3.72 1.4 7. 5 8-1 2 8. 2 5 6-1 2 3 9. 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? 10. Three centuries equal years.
Page 5 1. 216 hours = days For questions 2-5, use a = 0.45, b = 9.3, and c = 2.62. 2. a + b 3. c - a 4. 3 x c 5. c x b 6. 2 meters = centimeters 7. You started reading a book at 5:15 PM and finished at 8:40 PM. How long were you reading? 8. Find the perimeter of a rectangle with a length of 8 inches and a width of 3 inches. 9. Bon Air Fire Department wants to raise $ 5,735 for new fire suits and helmets. They have raised $ 3,626. How much more do they need to raise? 10. Twenty minutes is what fractional part of an hour?
Page 6 Find the product for 1-4. 1. 107 x 24 2. 12.6 x 0.8 3. 48 x 1.05 4. 3 8 x 1 2 5. Nine tricycles have wheels. 6. Find the perimeter of an equilateral triangle if each side is 6 inches long. 7. What is the mean (average) of 3, 10, 43, and 24. 8. List the first 5 multiples of 3. 9. Write 34,012,006 in words. 10. 0.5, 1, 1.5, 2,,,
Page 7 1. Twenty-three thousandths as a decimal is. Find the quotient for 2-5. 2. 312 3 3. 13.45 0.5 4. 0.27 9 5. 2 3 1 2 Round 17.3825 to 6. Tenths 7. Hundredths 8. Whole number 9. Thousandths 10. 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?
Page 8 1. List the number of sides in the following shapes. a. Pentagon b. Octagon 2. What is the perimeter of a square if each side is 2 1 inches long? 2 3. Circle the best estimate for the weight of a cow. a. 1,000 pounds b. 1,000 grams c. 1,000 tons 4. What is the range of these numbers? 24, 52, 17, 38, 13, 22, 30, 41 5. Complete with,, or = a. 1.78 1.722 b. 1.009 1.1 c. 1.0 0.999 6. 1, 2, 4, 7,,, 7. What is the name of this shape? 8. What are two prime numbers between 10 and 20?
9. If an ant has 6 legs, how many legs would 27 ants have? 10. What is the simplified fraction equivalent to 0.32?
Page 9 1. Three hours earlier than the time shown would be For questions 2-5, use a = 1 2, b = 3 4, and c = 3 5. 2. b - c 3. a + c 4. c b 5. 6 x a 6. Arrange in order from smallest to largest. 3.2, 2.33, 0.32, 0.322, 0.223 7. What fractional part of a year is 8 months? Change the mixed numbers to improper fractions for 8-11. 8. 2 1 3 9. 1 3 4 10. 4 5 6 11. 5 1 2
Page 10 Find the quotient for 1-4. 1. 1.2 8 2. 0.09 1.2 3. 6 0.04 4. 0.2 5 5. Circle the smallest fraction 1 7 1 3 1 10 6. What is the area of a square with sides of 8? 7. What is the mode of these numbers? 3, 7, 2, 8, 4, 7, 2, 1, 9, 4, 7, 5, 9 8. What is the reciprocal of 2 3? 9. Parallel lines never meet. Circle: True False 10. What kind of angle is this? Circle: Acute Right Obtuse
Page 11 Find the value for n in questions 1-3. 1. 3 x n = 18 2. n 6 = 2 3. 20 n = 2 4. In 23.74609, what number is in the thousandths place? Find the products for the 5-8 5. 4.581 x 0.22 6. 18 x 0.006 7. 7 x 4 5 8. 2 3 x 6 Simplify to lowest terms. 9. 18 42 10. 24 36 11. 1, 4, 9, 16, 25, 36,,,
Page 12 Change the improper fraction to mixed numbers for problems 1-4. 1. 14 5 2. 9 2 3. 10 3 4. 12 7 5. Find the median for this group of numbers: 3, 7, 13, 14, 19, 20, 36, 37, 41 Find the sum for 6-9. 6. 24.6 + 9.82 7. 1.1 + 0.11 + 11.1 + 1.001 + 1 8. 2 5 6 + 6 2 3 9. 5 1 2 + 2 1 3 Find the difference for 10 & 11. 10. 24.6 9.82 11. 6 2 3 2 5 6