Part 1 No Calculator 1. Which of the following has a value equal to 32 divided by 10? 4. Look at the problem below. Which expression can be used to check the answer? 914 r 2 6 5486 2 914 2 6 914 2 6 914 6 2 10 2. A travel club with 32 members wants to rent vans for the spring trip. Each van seats a maximum of 7 people. What is the least number of vans the travel club must rent so that each member has a seat? 4 5 25 39 914 6 2 5. Trent s tire store has 96 tires. A set contains 4 tires. Which expression represents the greatest number of complete sets of tires that Trent can sell? 96 4 96 4 96 4 96 4 3. Which of the following shows why the equation below is true? 47 6 = 7 R5 6. Multiply 609 x 87 5 6 7 47 5 7 6 47 6 5 7 47 7 6 5 47 9,075 9,135 52,923 52,983 Fall 2010 Page 1
7. Mrs. Taylor has a total of 28 students in her class. She would like to create 7 groups with an equal number of students in each group. Which expression represents the number of students Mrs. Taylor should put in each group? 10. Add 7 28 28 7 28 7 7 x 28 8. Multiply 3,247 x 16 11. Gupta put sugar in glasses of iced tea. He put teaspoon of sugar in his 22,729 40,612 51,952 glass and teaspoon of sugar in his mother s glass. Which expression is equivalent to the total amount of sugar Gupta put in the glasses? 53,493 9. Subtract 2012 Page 2
12. Kurt had a piece of wood that measured foot in length. Kurt needed the length of wood to be foot shorter. What was the length of wood Kurt needed? ft ft ft ft 14. After a concert, a white cake, a chocolate cake, and a strawberry cake were served. The following shows how much of each of these same sized cakes were eaten. of the white cake of the chocolate cake of the strawberry cake What was the total amount of cake eaten? 1 cakes 13. Harry had 1 gallons of paint in the 1 cakes shed. He used of a gallon to paint the trim of the house. Which 1 cakes expression represents the total number of gallons of paint remaining? cakes 1 1 1 15. What is one way to represent the value of the digit 3 in the number 573.64? three tenths 1 thirty tenths three hundreds thirty ones 2012 Page 3
16. What is one way to represent the value of the digit 6 in the number 95.64? six tens 19. Which of the following is equivalent to? six hundredths sixty thousandths sixty hundredths 17. Which statement means the same as? 3 minus 8 8 divided by 3 3 divided by 8 3 multiplied by 8 20. Aiden ate of a candy bar. How many tenths did he eat? 4 tenths 5 tenths 8 tenths 9 tenths 18. The rectangular diagram represents 1 whole. Which expression is represented by the model? 21. The rectangular diagram represents one whole. Which expression is represented by the model? of of of of 2012 Page 4
22. Divide 2 2 8 26. Ron has 7,863 pencils. He puts them in packages of 10. About how many packages of ten can he make? 6 63 786 863 23. Divide 12 27. About how many groups of 100 are there in 9,403? 4 40 24 36 94 940 24. Multiply 570 x 100 5,700 57,000 570,000 5,700,000 28. Multiply 8 0.4 0.032 0.32 3.2 32 25. Multiply 75 x 0.01 7.501 75.01 0.75 0.075 29. Multiply 57 0.03 0.171 1.71 17.1 171.0 2012 Page 5
30. What value of m makes the equation below true? m 31. What value of makes the equation below true? m 2012 Page 6
Part 2 Calculator Allowed 32. Isabella spent $45.99 on 7 books from her favorite author. If all 7 books cost the same amount, how much did each book cost? $6.17 $6.42 $6.57 $6.71 33. Lindsay rode her bike 23.5 miles each week for 3 weeks in March. If she rides her bike 21.8 miles the 4th week in March, how many total miles will she ride her bike in March? 94 92.3 35. Matthew bought 12 yards of fabric at $3.67 per yard. How much money did Matthew spend on fabric? $44.04 $43.04 $42.94 $11.01 36. A bottle is filled with 1 liter of lemonade. Which measurement is equivalent to 1 liter? 0.001 milliliter 0.01 milliliter 1,000.0 milliliters 10,000.0 milliliters 88.9 45.3 34. Nick bought 11 notebooks for $0.70 each. What was the total cost of the notebooks before tax? $ 0.77 $ 7.70 $ 8.10 $11.70 37. Beth calculated the measurement of a rectangular solid. When she was finished, she expressed her answer as 36 yd³. What was she calculating? perimeter height area volume 2012 Page 7
38. Joe calculated the volume of a box. Which of the following could have been a correct answer? 42. What is the volume of this rectangular prism? 36 in 36 in 2 36 in 3 36 in 4 39. Sarah has a box that measures 1 foot on each side. How many one inch cubes will fill the box? 14 cubic units 15 cubic units 18 cubic units 21 cubic units 36 144 432 43. What is the volume of this rectangular prism? 1,728 40. How many yards are equivalent to 54 feet? 1 yard 3 feet 18 yards 19 yards 152 yards 162 yards 41. Which is equivalent to 5.4 kilograms? 1 kilogram 1,000 grams 18 cubic units 24 cubic units 36 cubic units 72 cubic units 5,400 grams 540 grams 54.0 grams 0.0054 grams 2012 Page 8
44. If the volume of a rectangular prismshaped box below is 280 cubic inches, what is its height? 46. John is graphing his loan balance for the loan his brother gave him. He pays his brother the same amount of money on the first day of the week as shown in the graph below. 12 inches 14 inches 28 inches 140 inches 45. The volume of the cube below is 64 cubic centimeters, what is the length of its edges??? What will be the first week that John s balance will be $0? 10 8 6 4? 4 centimeters 8 centimeters 16 centimeters 32 centimeters 2012 Page 9
47. The owner of Casey s Canoe Rentals graphed the approximate number of canoes rented over six months. According to the graph, which of the following statements appears to be true? The number of canoes rented increased from August to September. The same number of canoes was rented in May as in August. The number of canoes rented decreased between April and May. About two times as many canoes were rented in July as in April. 2012 Page 10