CCGPS Benchmark 3 (2014-2015) REVIEW Name 1. 21 students in a social studies class took a test, and their average score was 87%. William was absent that day. He came back, took the test, and got a 95%. What happened to the class average? (Did it go up or down? By how much?) 2. What is the median of each set of numbers? Set 1: 8 10 13 6 8 Set 2: 20 13 30 10 5 12 3. The line plot below shows the number of skateboards owned by members of a skateboard club. What is the mean number of skateboards owned for this group of teenagers? 4. Sasha has scored 90, 78, 60, and 80 on the last four science tests. What is the average (mean) of these four test scores? 5. The soccer team scored 1 goal in its first game, 5 goals in the next game, and 9 goals in the last game. Which was the average number of goals the team scored per game? 6. A math class is conducting an experiment. They want to determine if single-serving Cheetos bags contain 2 ounces of Cheetos as claimed. Five students each measured the number of ounces of Cheetos in 10 bags and recorded the average amount per bag in the table shown. If the actual average of all the bags produced is 2 ounces of Cheetos per bag, which statement is true? A. As more students perform the experiment, the total average will approach Student Average Number of Ounces in 10 Bags Al 1.9 Carlie 2.1 Nikki 1.8 Juan 1.6 Stephen 2.0 Total 1.88 1.88 ounces. B. As more students perform the experiment, the total average will approach 2 ounces. C. As more students perform the experiment, the total average will always be less than 2 ounces. D. As more students perform the experiment, the total average will be greater than 2 ounces.
7. Which is the mean number of hours the students study per week as shown in the chart? Student Number of Hours Per Week Studying Marcus 5 Lena 10 Mona 12 Nick 4 8. The five number summary for a set of data is shown. What is the interquartile range for this set of data? Min: 8 Q1: 15 Q2: 20 Q3: 32 Max: 50 9. Victoria measured the length of 10 lizards for a project. The lengths of the lizards were 4 in, 5 in, 4.5 in, 3 in, 5 in, 5.5 in, 6 in, 3.5 in, 8 in, and 7 in. What is the interquartile range of Victoria s data? >> 10. Use the scaled figure of the chalkboard to answer the questions. 5 inches 2 ¼ inches Scale: 1 inch = 1 ½ feet Part A Find the perimeter, in inches, of the scaled figure and the perimeter, in feet, of the actual chalkboard. Show your work. Part B Find the area, in square inches, of the scaled figure and the area, in square feet, of the actual chalkboard. Show your work. Part C If the scale is changed to 1 inch equals 3 feet, what should the new dimensions of the drawing be? Use words and numbers to explain your answer. **Write your response on your answer document. Nothing written on this test will be graded!!
11. What is the mode of the following set of numbers: 2, 2, 3, 3, 6, 4, 4, 5, 3, 4, 4, 7, and 3? 12. At a baseball game, 10 out of the first 40 people who came to the field are wearing hats. If this sample is representative of the 160 people attending the game, about how many of them will probably be wearing hats? 13. At Longshore Elementary School, 2 out of 5 students have blue eyes. Approximately how many students have blue eyes if the building has 450 students? 14. For every dollar Olivia earns, she saves $0.15. Olivia has saved $35.30. How much has Olivia earned? 15. When my cousin purchased his motorcycle, it had a value of $5,000. In each of the first 2 years after he purchased it, its value decreased by 10% of the previous year s value, as shown in the table below. If the value of my cousin s motorcycle continues to decrease each year by 10% of the previous year s value, what will be the value of his motorcycle 3 years after he purchased it? Motorcycle s Decrease in Value Number of years after Purchase Value of Motorcycle 0 $5,000 1 $4,500 2 $4,050 3? 16. Amber deposits $1800 in a local bank. She knows that, due to interest, her money will be increased by 4%. How much money will she have at the end of 2 years? (Use the simple interest formula.) >> 17. A mother wants to buy notebooks for her child for the year. The table shows the cost of notebooks. Cost of Notebooks Number of Cost What is the unit rate? Show your work and explain your answer. Notebooks 40 $36 30 $27 20 $18 **Write your response on your answer document. Nothing written on this test will be graded!! 18. Macy s had a Saturday special. It offered an additional 15% discount on shoes that were already discounted 50%. How much did Don pay for a pair of boots that originally sold for $80?
1 19. Ashira has a scale drawing of her house in which inch on the drawing represents 1 foot in the house. In the 2 drawing, the deck on her house measures 1 foot. How long is her deck? 20. What would the actual height of the couch be? 6 in. 21. An architect s blueprint shows the length of a new school gym to be 17 inches. What is the actual length of the new gym? 0.25 inches = 2 feet 22. The scale drawing of Naomi s garden is shown. The actual length of side CB is 20 feet. What is the actual length of side AB? No More Calculators Past This Point! No More Calculators Past This Point!
23. Which shape can be formed from a cross-section perpendicular to the base of a cylinder? 24. Which shape can be formed from a cross-section parallel to the base of a rectangular prism? 25. Which shape can be formed from a cross-section perpendicular to the base of a square pyramid? 26. In a triangle, one angle is 70 degrees and another is 25 degrees. The remaining angle must be. A. Acute B. Obtuse C. Right D. Complementary E. Supplementary 27. 3 in 4 in 6 in In the diagram, ABC~ DEF. Find the scale factor (large to small) of the two triangles. 28. Which equation corresponds to the given table of values? A. y = x + 3 B. y = 2x 10 C. y = 3x + 1 D. y = 0.2x + 4 29. Roger ran at a constant rate of 6 miles per hour. If Roger were to graph his run, what would his graph look like? A. B. C. D. 30. Which situation can be represented by the equation y = 5x? A. Mila earned $5 for babysitting. She also earned x dollars for weeding a garden. Mila earned a total of y dollars for babysitting and weeding a garden. B. Mila baked y batches of cupcakes. There were 5 cupcakes in each batch. Mia baked a total of x cupcakes. C. Mila sold x tickets. Each ticket costs $5. Mila sold a total of y dollars worth of tickets. D. Mila answered x questions correctly on a test. Each of the questions was worth y points. Mila earned a total of 5 points on the quiz.
31. A teacher kept track of the results for the first two tests her class. The results are shown in the box plots below. Which conclusion can be drawn from the box plots? A. The two tests have the same median and interquartile range. B. Test 1 has a greater median and a greater interquartile range than Test 2. C. Test 1 has a greater interquartile range than Test 2, but both tests have the same median. D. Test 2 has a greater median than Test 1, but both data sets have the same range. 32. Which shape could not be a cross section for this cylinder? A. circle B. trapezoid C. rectangle D. ellipse 33. Which shape could not be a cross section for this square pyramid? A. square B. trapezoid C. triangle D. ellipse