Grade 8 Performance Assessment Spring 2001

Transcription

1 Cover Page of Exam Mathematics Assessment Collaborative Grade 8 Performance Assessment Spring 2001 District's Student Id # (Option: District May Use a Label Here) To be complete by official scorer MAC ID # Task 1 Task 2 Task 3 Task 4 Task 5 Total Score Score Chk

2 Machines plot a scatter graph to show data use the scatter graph to estimate values Robert works in a factory that manufactures parts. He thinks that as the machines in the factory get older, they make fewer parts each day. He collects the following data to see if he is correct. Age in months Machine Number of parts made each day A B C D E F G H I J Robert plots the number of parts made each day against the age of each machine. 1. The data for the first five machines, A to E, has been plotted for you. Plot the points for the rest of the machines Number of parts made each day Age in months 2. Draw a straight line that best fits the points plotted. 3. How many parts would Robert expect a 104-month-old machine to make? 4. The company decides to scrap machines when they can no longer produce at least 250 parts each day. Use the graph to estimate the probable age of a machine that produces 250 parts each day. 6 Page 1 Machines Test 8: Form A

3 Boxes of Chocolates find and extend a number pattern express the pattern using a rule or formula Sam designs and makes boxes for chocolate candies. The boxes have different lengths, but they are all the same width. The chocolates are always arranged in the same kind of pattern. The shaded circles show dark chocolates. The white circles show milk chocolates Key dark chocolate milk chocolate 3-by-2 box 3-by-3 box 3-by-4 box Sam makes a table to show how many chocolates are in each size of box. Size of box Number of dark chocolates Number of milk chocolates Total number of chocolates Fill in the missing numbers in Sam s table. 2. Describe two number patterns you can see in the table. Page 2 Boxes of Chocolates Test 8: Form A

4 3. How many chocolates of each kind are there in a 3-by-9 box? Show how you figured it out. 4. Write a rule or formula for finding the total number of chocolates in a 3-by-n box. 5. The total number of chocolates in a box is 63. What is the size of the box? Show your work. 10 Page 3 Boxes of Chocolates Test 8: Form A

5 Cubes visualize unseen faces of an object from a drawing Leila makes a solid shape by joining together 8 wooden cubes such as the one shown below. There are 6 cubes in the base and 2 on top. Leila has lots of square yellow stickers. Each sticker can cover exactly one side (face) of one of the wooden cubes. Leila covers the whole outside of the shape with square yellow stickers, including the surface underneath. 1. How many square yellow stickers are needed to cover the whole outside of the solid shape? Show how you figured it out. Page 4 Cubes Test 8: Form A

6 Leila pulls apart the shape so that she has a pile of 8 cubes. Each cube has yellow stickers on some of its faces. 2. Explain why no cube has 5 or 6 stickers. 3a. How many cubes have 2 stickers? 3b. How many cubes have 3 stickers? 3c. How many cubes have 4 stickers? 9 Page 5 Cubes Test 8: Form A

7 Dropping a Pencil Box calculate probabilities When you drop a pencil box, it can land on an end, an edge, or on a side. 5 no. 2 Pencils End Edge Side When Jane did an experiment she found that: the probability of the box landing on an end is approximately 0.1; and the probability of the box landing on a side is approximately Describe how Jane may have found these estimates. 2. Estimate the probability that the pencil box will land on an edge. Show your method clearly. 3. Jane and Sarah are playing a game: Jane Sarah I will drop two boxes. If they both land on their side, I win. Otherwise, you win. Who is more likely to win the game? In the space below, calculate the probability of each person winning. 8 Page 6 Dropping a Pencil Box Test 8: Form A

8 Fudge use percentage increase apply numbers in a real-life context Cathy makes fudge, which she sells to make money for her school. For $10 she can buy the ingredients to make 4 trays of fudge. She cuts each batch into 10 pieces. The pieces are sold individually. 1. In order to cover the cost of the ingredients, how much should Cathy charge for each piece of fudge? Show your work. 2. Cathy wants to make a profit of 20%. How much should she charge for each piece of fudge? 3. The cost of the ingredients goes up by 5%. Cathy thinks she should increase the original cost of each piece of fudge by 25% in order to continue making a profit of 20%. Cathy is not correct. Explain why she is not correct. 7 Page 7 Fudge Test 8: Form A