Name:__________________ Teacher:_________________ Block:______ Math 8 Midyear PRACTICE Exam 2014 You are being assessed with Criteria A: Knowledge and Understanding & Criteria C: Communication You may use your calculator for the following questions. Section A – knowledge and recall, solving simple familiar problems. If you answer most of the questions in this section correctly you will achieve level 2 on Criterion A NON Calculator Section: 1. a) -6 + -7 b) -7 x 2 c) 3 - -4 d) -10÷ -5 c. d. Calculator: 2. Which expression does this diagram represent? a. b. 3. One completely shaded grid represents 100%. What percent does this diagram represent? a. 4. b. Express c. d. c. 0.30 d. 0.75 as a decimal. a. 0.03 b. 0.15 5. Determine the lowest common denominator for the following group of fractions: , , and . a. 6. Calculate a. 60 b. 80 c. 120 d. 140 c. 9 d. 16 . b. 7. What table of values on the right is represented by this graph? . 8. Esteban deposited $1 into his bank account on the first day. The next day he deposited $2; on the third day he deposited $4. What ordered pair will be in the next cell of the table? Day Amount ($) a. (4, 5) b. (4, 7) c. (4, 6) 1 1 2 2 3 4 d. (4, 8) 9. Which operation should be used to solve this equation? a. divide by –3 10. b. multiply by –3 c. divide by –8 d. multiply by –8 In the equation 2x + 6 = 14, the first operation that you perform is a. add 6 b. multiply by 2 c. divide by 2 d. subtract 6 Section B – solving simple familiar problems. If you answer most of the questions in this section (and in section A) correctly you will achieve level 4 on Criterion A 11. The temperature increased from 4 C to 12 C in four hours. Determine the average hourly temperature increase. a. 2 C/h b. 4 C/h 12. Determine –5 (–10) (–2). a. 100 b. 25 c. c. 3 C/h d. 13. Which of the following shows two different ways of writing a. 0.3, 3% b. 0.03, 3% d. 6 C/h ? c. 0.3, 30% d. 0.03, 30% 14. The area of the backyard of a house is 180 m2. If 1.5% of the backyard is planted with flowers, the area not covered with flowers is _________________________. 15. Determine . Express your answer in lowest terms. a. 16. b. c. d. _________________________ 17. Which table of values is best represented by the linear relation ? 18. The phrase “3 times a number, increased by 4, equals 15” can be modelled with the equation a. c. b. d. 19. Solve for the unknown: a) 8(x + 2) = 32 b) x 2 3 6 Section C – Solving simple and complex familiar problems. If you answer most of the questions in this section (and in sections A and B) correctly you will achieve level 6 on Criterion A. 20. When a sum of money is divided equally among three people, each person receives $25. Write and solve an equation to determine the value of the sum of money. Verify your solution. 21. In a class of 30 students, have a computer in their home. Of the students who have a computer in their home, have high speed Internet access. Of the students with high speed Internet access, are using a Mac computer. What fraction of the class uses a Mac computer for high speed Internet access? How many students is this? 22. Elisha plans to install a new ceiling in her basement. Each ceiling tile covers an area of 1.25 m2. The area of the basement ceiling is 50 m2. If Elisha has only 21 ceiling tiles, what percent of the ceiling can she tile? 23. The cost, in dollars, of printing a book is given by the equation , where c is the total cost and n is the number of books. a) Complete the table of values. b) Draw a graph of the relation. Number of Books, n 0 10 20 30 40 Total Cost, c ($) c) If the total cost is $570, how many books are printed? Section D – Solving challenging problems in an unfamiliar situation If you answer most of the questions in this section (and in sections A, B and C) correctly you will achieve level 8 on Criterion A. 24. A series of school trips are planned involving 384 students. One quarter of the students are to travel by train, of the students are to travel by bus, and the remainder are to travel by van. How many students are to travel by van? 25. Kathy earns $8/h washing dishes. If she works overtime, she is paid $12/h. Last week Kathy worked 48 hours. Eight of those hours were overtime. How much did Kathy earn? 26. Jaime is painting her room. The equipment (paint roller, roller tray, and paintbrush) costs a total of $15.00. Each can of paint costs $21.00. Jaime has a budget of $78.00 to paint her room. Write and solve an equation to show how many cans of paint Jaime can purchase. Verify your solution. 27. Victoria High School is planning a 24-hour relay race. Students can walk or run either 2-km or 5-km segments. There are 110 students signed up for the 2-km option and 90 for the 5-km option. Based on last year’s results, 15% of students in the 2-km group and 35% of students in the 5-km group will not finish. a) What fraction of all students entered are expected to complete their distance? Express your answer in reduced form. b) Using last year’s statistics, what do you predict will be the total distance travelled by the students who complete their segment? Criteria A: Knowledge and Understanding Level Beginning (0) Criteria The student does not reach a standard described by any of the descriptors give below Incorrect thinking. Developing (1-2) Needs significant support to solve familiar problems. Multiple errors showing minimal or incomplete understanding. Correct mathematical thinking. Solves simple familiar problems with support. Approaching (3-4) Errors exist that detract from the correctness of the solution. Solves using correct mathematical thinking Accomplished (5-6) Solves simple and more complex problems in familiar context without support. Minor errors may exist, but they do not detract from the reasonableness of the solution. Solves using correct mathematical thinking, possibly including multiple branches of mathematics. Produces unique solutions efficiently. Exemplary (7-8) Solves challenging problems in an unfamiliar context without support. No errors exist. Criteria C: Communication Achievement 0 level Level descriptor The student does not reach a standard described by any of the descriptors given below. 1–2 3–4 5–6 The student shows basic use of mathematical language and/or forms of mathematical representation. The student shows sufficient use of mathematical language and forms of mathematical representation. The student shows good use of mathematical language and forms of mathematical representation. Shows work Shows work Shows work Vertical format Vertical format Vertical format Correct units Correct units Correct units Concluding statement Concluding statement Concluding statement Boxed final answer Boxed final answer Boxed final answer The lines of reasoning are difficult to follow. Communicates mathematically information Express fluently and coherently the process and solution