MHS Practice Examination - Ms. Holloway's Classjrhsmath.weebly.com/uploads/3/7/9/9/37999993/practice_exam.pdfMHS Practice Examination. This resource can be used for FREE by any teacher

Grade 8MATHEMATICS Secondary Cycle One

Year Two

563-212

Student Question BookletParts A, B and C

✔ This resource can be used for FREE by any teacher or student with an active Math Help Services account✔ Detailed video solutions to each question are available within your MHS account

Supporting TeachersDeveloping Students

Copyright 2013

Exam #1

MHS Practice Examination

This resource can be used for FREE by any teacher / student with an active Math Help Services account Your teacher will make detailed video solutions available within your MHS account after the exam

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Practice Exam Grade 8 Exam #1

SUCCESS ON SUMMATIVE EXAMINATIONS

✔ The best way to prepare for a summative exam is to write multiple versions of that exam so that you become familiar with the format, the language and the time constraints.

✔ A memory aid is a much more valuable resource if you make it before you begin writing practice exams.

✔ We strongly suggest that you place yourself under the same time constraints while writing this exam as you will face when you write the ministry exam at the end of your course.

✔ Note that detailed video solutions to this exam are available in your Math Help Services account. Once your teacher makes the video solutions available you should watch the video solution to each question you had difficulty with to ensure that you know how to face this type of problem in the future.

INSTRUCTIONS

✔ You may use a calculator (with or without a graphic display), a ruler, a set square, a compass, a protractor or additional graph paper.

✔ You may refer to the memory aid you prepared on your own before the examination. This memory aid consists of one handwritten letter-sized sheet of paper (8 ½ x 11). Both sides of the sheet may be used. Any reproduction of this memory aid is forbidden.

✔ Only the above mentioned materials may be used.

✔ You have 3 hours to complete this examination.

✔ Note: Figure are not necessarily drawn to scale.


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Grade 8 Exam #1 Practice Exam

PART A

This part of the examination consists of Questions 1 to 6.

Each question in this part of the examination is worth 4 marks

Multiple Choice

Identify the choice that best completes the statement or answers the question.

1. Which of the following situations does NOT represent a directly proportional relationship between x and y?

A. B.

x y0 01 32 63 9

C. 2 1y x= + D. 4y x=

2. Which of the following speeds given below are faster than 360 km/h? (1.) 120 m/s (2.) 5 km/min (3.) 0.2 km/s

A. All Three B. 1 and 2 C. 2 and 3 D. 1 and 3

3. Which of the following is the simplified version of this expression?

( ) ( )2 23 2 1 4 5 2 6 9x x− + − − + ÷

A. 19x + B. 15x +

C. 17x + D. 11 17x +


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4. Given the graph of the linear function below, what is the rule that defines this line?

A. 2 4y x= − +

B. 1 42

y x= − +

C. 2 8y x= − +

D. 1 82

y x= − +

5. The cylindrical soup can shown below has a height of 9cm and the area of its base is 28.27cm2. If the can has not been opened yet, what is its total surface area?

A) 169.65 cm2

B) 197.92 cm2

C) 226.19 cm2

D) 254.43 cm2

6. At the Lakeside Academy Cafeteria there is a lunch special every day in the form of a combination as shown below.

Main Dish

● Pizza ● Tuna Sandwich ● Pasta & Tomato

Sauce ● Hamburger

Side Dish

● Salad ● Fruit Cup

Beverage

● Juice Box ● Milk ● Bottle of Water

The combo-meal includes one main dish, one side dish, and one beverage. How many different combinations are available to the staff and students at Lakeside Academy?

A) 4 B) 9

C) 12 D) 24


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PART B


Each question in this part of the examination is worth 4 marks

Short Answer

7. Construct a regular hexagon with side lengths measuring 4cm.

8. After an 8% salary raise, Dan now receives an annual salary of $ 54 000. What was his salary before the raise?

9. Bruce is playing Monopoly and needs to roll (two dice) a seven to land on Boardwalk. What is the probability that Bruce lands on Boardwalk?

10. A circle whose circumference is 37.7cm is placed inside a regular pentagon. The perimeter of the regular pentagon is 46cm. This is illustrated in the diagram below.

What is the area of the shaded region?


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PART C


For each question, you must show all your work to justify your answer.

Your work must be organized and clearly presented and cannot simply involve listing the calculator applications or programs used to obtain results or information.

Each question in this part of the examination is worth 10 marks.

Show all work for each question.

11. Sandra wants to lay down sod on her property that is shaped like the figure below:

She knows that the perimeter of her property is 260m.

A landscape gardener tells her that the job will cost her $ 4 per m2.

If Sandra only has $ 10 200 to spend on her property, what percentage of her property will not be sodded?

12. Samantha is working for a tree planting company in Northern Ontario. The company policy is: for every 100m2 of land, the workers will plant 9 trees.

During her first week of planting, Samantha plants a certain number of trees on 1 km2 of land and gets paid $ 1 800.

If Samantha is paid 2 cents for every tree she planted, did she follow the company policy? Justify your answer.


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13. Six students from the Sir Wilfrid Laurier School Board are selected to compete in the Descartes Mathematics Competition. The student’s first names and results (percentage) are listed in the table below. Unfortunately a printing error occurred and Frank’s result was blacked out.

Student Results (%)Alex 82

Bianca 95Craig 80Diane 86Erica 87Frank

If the six students had an average result of 88%, what was the range of their results?

14. At the Canadian National Leadership Conference, the students from the Atlantic Provinces are all staying at the same hotel.

● The Nova Scotia group has 60 more students than the P.E.I. group.

● The Newfoundland group has 10 students more than three times the P.E.I. group.

● The New Brunswick group has twice as many students as the Newfoundland group.

● The total number of students from the Atlantic Provinces attending this conference is 420.

Each hotel room can house 2 students. The cost per room is $60 per night. The students will stay for three nights. How much should the group from New Brunswick budget for their student’s hotel costs?

15. The Granby Zoo has designed a new pen for its petting zoo. The circular design is shown below.

45

4545

45

If the total area of the four pens (the shaded regions) is 1 256 m2, what will it cost to fence off these pens if 500 cm of fence costs $1.50?


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16. The dilation of a rectangle is shown in the coordinate plane below. Note that it has a scale factor of 3 and its center of dilation is the origin.

y

x10 15

10

15

5

5

A D

CB

A'

B' C'

D'

A’B’C’D’ is the image of ABCD

Formulate a conjecture about the relationship between the scale factor of a dilation and the ratio of the areas;

that is, Area of ImageArea of Original Shape

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MHS Practice Examination - Ms. Holloway's Classjrhsmath.weebly.com/uploads/3/7/9/9/37999993/practice_exam.pdfMHS Practice Examination. This resource can be used for FREE by any teacher