6th Orange Math Study guide_benchmark.docx



6th Orange Math Study GuideTopics:compare and order whole numbersOrder of operationscompare and order decimalsadd, subtract, multiply, divide decimalsdivide multi digit numbersvariables and expressionswriting algebraic expressionssolve one step equations with addition, subtraction, multiplication or divisiondistributive propertyexponentsprime numbers and prime factorizationGCFequivalent fractionsmixed numbers and improper fractionsLCMfraction and decimalscompare an ordering fractions and decimalsadd/ subtract fractions with unlike denominatorsadd / subtract mixed numbersequations with fractionsReview problemsThe following review problems are found in textbook. Please put the page number and problem number for the problems. Copy each original problem, show all work and solve.p. 612 # 17, 19, 23, 25, 27 - 37 oddp. 613 # 43, 44p. 616 # 5 - 33 oddp. 617 # 34 - 40 allThe above problems will be review in class on Monday, November 18thp. 618 # 1 - 57 oddp. 619 # 59 - 67 oddp. 620 # 9 - 31 oddp. 621 # 39 - 45 oddThe above problems will be reviewed in class on Tuesday, November 19thMore Practice problemsThe word problems below will be reviewed in class on Wednesday, November 20th and Thursday, November 21st1. In a student art contest there are 14 drawings, 22 sculptures and some paintings. There are 18 more paintings than sculptures. What is the total number of art pieces?2. About 11.4 million people live in Jakarta, Indonesia. Roughly 13.0 million people live in Delhi, India. About 10.4 million people live in Karachi, Pakistan. Order the cities from least to greatest.3. In 2000, the New England states had a population of about 13.92 million. Find the population of Maine.StatePopulationConnecticut3.42 millionMaine?Massachusetts6.35 millionNew Hampshire1.24 millionRhode Island1.05 millionVermont0.61 million4. There is 0.2 gram of calcium in 1 serving of cheddar cheese. How much calcium is in 3.25 servings of cheddar cheese?5. A stack of paper measures 0.9 cm thick. Each piece of paper is 0.01 cm thick. How many pieces of paper are in the stack? Could each of 25 students get three pieces of paper?6. A dog walker charges $10 to walk a large dog and $6 to walk a small dog. Write a algebraic expression to calculate her earnings, where d is large dogs and s is small dogs. a. how much does she earn for walking 4 large and 2 small dogsb. 6 small dogs7. Customers in a paint store use the table below to decide how much paint they need.Area (sq ft)Gallons400180022000532008a. Write an expression for the number of gallons of paint needed for an area of A square feet.b. Paint costs $17.95 per gallon. Write an expression to find the cost of paint needed for an area of A square feet.8. You add a 4 minute song to your Ipod. It now has 2 hours of music. Use an equation to find out how much music was on the Ipod before you added the song.9. You buy several posters. The total cost is $18.95. You have $7.05 left after you pay. Write and solve an equation to find how much money you had before this purchase. 10. An elephant’s height is about 5.5 times the length of her hind footprint. Use an equation to find the approximate height of an elephant whose hind footprint is 1.5 feet long.11. A group has 36 ceremonial guards. When they march, they form rows of equal number of guards. What numbers of rows can they make? How many guards will be in each row?12. Carrie is lining up 45 students in the drill team and 25 students in the color guard. She wants each row to have the same number of students in both groups. How many rows are there, an how many students are in each row?13. A caterer plans to serve two slices of melon to each of 50 guests. She estimates getting 12 slices from each melon. Write the number of melons she will use as a mixed number. How many melons does she need?14. During a promotion, a music store gives a free CD to every fifteenth customer and a free DVD to every fortieth customer. Which customer will be the first to get both gifts?15. Simplifya. 3(x + 2)b. 4(4 - x)c. 2(x + 1)16. Find each quotienta. 1,334÷29b. 10,980 ÷4517. A scientist has 1,050 samples to observe. She has 14 assistants for the job. If she splits the samples evenly among the assistants, how many samples will each assistant observe? ................
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