Name: Period: Review 1. Rectangle ABCD is 3 inches wide and 6 inches high. The rectangle is reduced to rectangle EFGH, which is 1 inch wide and 2 inches high. What is the scale factor for the reduction? What was the change is area? 2. ΔGHJ is dilated to form ΔKLM. What is the scale factor for the dilation? 3. Casey tossed a coin 25 times and recorded the results. What percent of the coin tosses came out heads? 4. A jar contains 85 jelly beans. Approximately of the jelly beans are red. About how many are red? 5. Libby likes to lift weights. She has a bar that weighs 30 lb and several 5-lb weights that can be added. How many 5-lb weights does Libby need to add to the bar to reach a total of 80 lbs? 6. In the equation y = 3x -100x, what is the value of y if x = 4? 7. In the equation y + 40 = 7x + 4, what is the value of y if x = 2? 8. Hannah makes 5 gallons of spaghetti for a potluck supper. If each person takes a serving of about pint, how many servings can Hannah get from her spaghetti? (There are 8 pints in 1 gallon)
9. Kiwi fruits are on sale for $5.02 per pound. Amanda bought 3.75 pounds. About how much did she pay for the Kiwis? 10. Gabi ran 5 miles in 40 minutes. If she continues at this rate, about how far can she run in 100 minutes? 11. Noboru types 15 pages in 4 hours. At this rate, about how long will it take him to type his 120 page dissertation? 12. R.C., J.T., and Henry agreed split the cost of food and entertainment evenly. They spent $23.80 for food and $15.50 for entertainment. Find the amount that each of the three friends paid. 13. During a card game, Lauryn scored both negative points and positive points. Her scores for each of 6 hands were -15, 25, 65, 70, -10, and -40. What was the total amount of the points that Lauryn scores? 14. Glen used of his allowance on gas for his car, of his allowance to wash his car, and spent the rest at the movies. If his allowance was $30.00, how much money did he spend at the movies? 15. Meherina bought 30 meters of gold chain. She used of it to make a ring, and to make a bracelet. What percent of gold did she have left? How much gold did she have left? 16. The area of a square is 148 square meters. Which best represents the perimeter of the square? a) 12.3 m b) 49.2 m c) 24.6 m d) 151 m 17. If the circumference of a circle is 15 meters, what is the area of the circle? Use 3 for π.
18. A certain bacterium is approximately.00000018 mm long. How is this length expressed in scientific notation? 19. A movie grossed nearly 6.7 x 10 6 dollars. Write this number in standard notation. 20. Which number is the largest? a) 2.83 x 10 5 b) 1.3 x 10 6 c) 2.38 x 10 5 d) 9.3 x 10 5 21. A gallon of latex paint will cover 105 square feet. Aidan wants to paint all 4 walls of a room that is 12 feet long, 15 feet wide, and 9 feet high. About how many gallons of paint will he need to buy? 22. The floor of a concert hall is 3600 square feet. If the hall is 90 feet wide, how long is it? 23. Which answer is closest to the length of line segment d in the following diagram? 24. An archaeologist measures a square pyramid. The length of one side of the base of the pyramid is 600 m. The length of each face of the pyramid is 500 m. Which of the following is closest to the height of the pyramid?
25. The drawing below is a base plan of a solid figure made of stacked cubes. Which of the following solid figures is represented by the base plan below? 26. The drawing shows a solid made of stacked cubes. Which of the following best represents the base plan for the solid? 27. A random group of students from four different classes was asked how many preferred dogs. Which class had the greatest fraction that preferred dogs?
28. Which of the following lists of rational numbers is ordered from greatest to least? 29. A bag of marbles contains 25% purple, 35% red, 20% blue, and 20% green marbles. There are 80 marbles in the bag. Which proportion can be used to find z, the total number of blue marbles in the bag? a. = b. = c. = d. = 30. Reece s Trading Cards ran a special sale on Saturday. Reece exchanged 3 new Star Wars cards for 20 old ones. On that day, how many would you receive for 180 old cards? 31. A certain seasoning is sold in cylindrical containers with the dimensions shown below. a. What size label, to the nearest square inch, is needed to wrap all around the curved portion of the cylindrical container? b. If the volume of the new cylinder is 1,458 in 3, what is the scale factor? 32. The lateral surface area of a square pyramid is 25 square meters and the perimeter of the base is 12 meters. What is the total surface area of the pyramid?
33. Nirmit wants to paint his skateboard ramp shown below. How much area does Nirmit need to paint? (he only paints the sides that people will be able to see) 34. A paper drinking cup is in the shape of a square pyramid. How much water is needed to fill 3 of these paper cups if the height of the pyramid is 7? 35. The following aquarium is built to fit in the corner of a room. How much water is needed to fill the tank halfway? 36. A square with a perimeter of 28 cm is enlarged. The new area of the square is 784 cm 2. What is the scale factor? 37. A circle has an area of 32 square inches. The circle is dilated by a scale factor of ½ to produce a new circle. What is the area of the new circle?
38. A company that makes square tiles would like to make a square tile that has 4 times the area of the smaller tiles. If their smaller tiles have a perimeter of 16 inches, what will be the perimeter of the larger tile? 39. A sphere has a surface area of 6 square yards. A sphere is enlarged by a scale factor of 3 to produce a new sphere. What is the surface area of the new sphere? 40. A rectangular prism has a surface area of 40 ft 2. A similar rectangular prism has a surface area of 90 ft 2. If the volume of the smaller prism is 16 ft 3. What is the volume of the larger prism? 41. The cones below are similar. What is the ratio of the surface area of the cone on the right to the surface area of the cone on the left? 42. A bag contains 6 black, 4 blue, 3 green, 5 yellow, and 4 red marbles. What is the probability of randomly pulling out a blue marble? 43. A hat contains the names of 5 boys and 7 girls. Two prizes are to be given away by drawing names from the hat. The same person cannot win both times. What is the probability of both winners being boys? 44. Shreya tosses four fair coins. What is the probability that all four coins will land tails up?
45. Ottavio tosses a six-sided number cube. What is the theoretical of rolling an even number twice in a row? 46. There are 3 colored balls in a bag: red, white, and blue. In order to win a game, Kristy must select the red ball 3 times in a row without looking in the bag. What is the theoretical probability? 47. The probability of an egg being broken is. In a shipment of 600 eggs, how many eggs are likely to be broken? 48. Angle 1 and angle 2 are supplementary angles. If the measure of angle 2 equals 67 0, which conclusion is valid? 49. A bottle of vitamins containing 250 tablets costs $15. 00. What is the unit price of each tablet? 50. A floor costs $756.50 to cover with tile. If the tile has a unit price of $4.25 per square foot, what is the area of the floor? 51. Suppose you walk a total of 7,500 feet in 2 days. If you walked 574 feet farther on Day 1 than on Day 2, how far have you walked on each day?