FINAL EXAM June 2010 - Weeblymrsduprey.weebly.com/.../1/23411986/math_8_practice_exam.pdfERLC Gr. 8...

FINAL EXAM June 2010

ERLC Gr. 8 Math – Final Exam June 2010 2


This examination has been prepared in a professional development activity organized by the Edmonton Regional Learning Consortium and facilitated by Enzo Timoteo. Prepared by:

Enzo Timoteo ERLC Martin Mazurek ECSRD Tyler Nyznyk PHRD Amy Bado ECSRD Lynne Cholette ECSRD Jo-Ann Beaudry ECSRD Colin Schroeder ECSRD Rob Volaril NGRD Michael Steele EPSB Patti Trovato ECSRD Maris Huculak ECSRD Laurier Plante ECSRD Dan Briner ECSRD

The facilitation and preparation of this examination has been subsidized by the Edmonton Regional Learning Consortium as the result of a grant from Alberta Education to support implementation.


Mathematics Grade 8 2010

Description

Instructions

Time allotted: 2 hours. However, you may take an additional 30 minutes to complete the examination. Total possible marks: 65

Fill in the information required on the answer sheet as directed by the teacher.

This is a closed-book examination consisting of three parts.

You are expected to provide your own calculator.

Part A

Carefully read the instructions for each part before proceeding.

has 45 multiple-choice questions each with a value of one mark.

Do not fold the answer sheet.

Part B

has 5 numerical-response questions each with a value of one mark.

Part C

has 3 written-response questions for a total value of 15 marks.

All graphs on this examination are computer-generated and are not to scale.


Part A: Multiple Choice

DO NOT turn the page to start the examination until told to do so by the teacher.

45 questions

Instructions

Read each question carefully.

Record your answer on the answer sheet provided by filling in the corresponding circles.

Use HB pencils only.

Example:

If you wish to change an answer, erase ALL traces of your first answer.

This examination is for the subject of A. biology B. physics C. chemistry D. mathematics

Answer Sheet

A B C


1. The , rounded to the nearest tenth, is approximately equal to

A. 3.8 B. 3.9 C. 7.4 D. 7.5

Use the following information to answer the next question. 2. What is the approximate length of each side?

A. 3.5 cm B. 4.0 cm C. 4.5 cm D. 5.0 cm

Use the following information to answer the next question. 3. Which of the following numbers would fit Emma’s pattern?

A. 29 B. 39 C. 49 D. 59

The area of the square is given.

20 cm2

Emma was arranging pebbles into the following pattern.


Use the following information to answer the next question.

4. What are the dimensions of the park?

A. 16 m by 6 m B. 17 m by 17 m C. 18 m by 18 m D. 19 m by 19 m

Use the following information to answer the next question. 5. What is the side length of the square?

A. 4 m B. 6 m C. 11 m D. 36 m

Angie builds a fence around Big Bear Park. The park is square and has an area of 289 m2.

Big BearPark

Jacob is building a dog house. The instructions are unclear.

Area of rectangle = area of square

3 m

12 m

=


Use the following information to answer the next question. 6. What colours did Leah use with the ratio 5:7?

A. Black to striped B. White to black C. Striped to white D. Striped to black

Use the following information to answer the next question. 7. What distance did Kyle drive in km? (Round to the nearest tenth.)

A. 122.9 km B. 213.3 km C. 216.8 km D. 376.3 km

8. If Pat travels 275 km in 2.5 hours, what is her speed per hour?

A. 100 km/h B. 110 km/h C. 120 km/h D. 130 km/h

Leah colours pictures of squares.

Black

Striped White

speed = distance

time

Kyle is taking his new sports car out for a drive. He travels at a speed of 215 km/h for 1.75 hours.


9. Jodi is buying chocolate chips for baking cookies. The price is $1.99 for 125 g. How much does she pay for 500 g of chocolate chips?

A. $10.96 B. $ 9.96 C. $ 8.96 D. $ 7.96

Use the following information to answer the next question. 10. Which bottle of milk is the best buy?

A. Bottle 1 B. Bottle 2 C. Bottle 3 D. Bottle 4

Kelsey has four bottles of milk to choose from. Each bottle is a different size and price.

1.1 L

$4.45

Bottle 3

1.35 L $5.50

Bottle 4

750 mL $3.10

Bottle 2

400 mL $1.85

Bottle 1 CostUnit Price =

Volume

1 L = 1000 mL


Use the following information to answer the next question. 11. Which proportion should she use to determine the price of 525 mL?

A. $1.35 525 mL 350 mL

B. $1.35 350 mL 525 mL

C. $1.35 350 mL 525 mL

D. $1.35 525 mL 350 mL

Katie is at the grocery store to buy her favourite orange juice. The price for 350 mL is $1.35. She wants to buy 525 mL.

=

=

=

=


Use the following information to answer the next question. 12. Which model displays the solution?

A.

B.

C.

D.

Use the following information to answer the next question. 13. Insert brackets to make this statement TRUE.

A. 12 ÷ (5 – 8 – 4) × (–2) B. 12 ÷ 5 – (8 – 4) × (–2) C. 12 ÷ (5 – 8) – 4 × (–2) D. 12 ÷ 5 – 8 – (4 × (–2))

Charlotte uses integer chips to solve the multiplication statement (+6) × ( 2). +1 1

12 5 8 4 ( 2) 4


Use the following information to answer the next question. 14. What is the quotient for ( 9 ) ÷ 3 ?

A. (+3) B. ( 3) C. (+9) D. ( 9)

Use the following information to answer the next question. 15. In which step did Sarah make a mistake?

A. Step 1 B. Step 2 C. Step 3 D. Step 4

Number lines can be used to model the division of integers.

Sarah is dividing the following fractions:

-11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1

104 Step 3164

26= Step 441

1 15 38 4

41 13 Step 18 4

8 13= Step 241 4


Use the following information to answer the next question. 16. Which of the following is a diagram of the product of diagram 1 and diagram 2?

A.

B.

C.

D.

Use the following information to answer the next question. 17. The amount of time it will take Rachel to paint her room is

A. 27 min B. 48 min C. 1 hr 15 min D. 1 hr 28 min

Diagram 1 Diagram 2

Rachel takes 34

hr to paint 35

of her room.


18. Lisa and Joel are sharing a box of golf balls. Lisa gets 34

of the box. Joel gets 16

of the

box. Joel’s golf balls represent what percentage of Lisa’s golf balls?

A. 0.13% B. 0.22% C. 13% D. 22%

Use the following information to answer the next question. 19. What percent does the diagram represent?

A.

B.

C.

D.

Daniel draws the following diagram using hundred grids.


Use the following information to answer the next 2 questions. 20. The missing y values are

A. 1, 0, 1 B. 1, 3, 5 C. 2, –4, 7 D. 2, 0, 3

21. The graph of this table of values is

x -8 -6 -4 -2 2 4 6 8 -2

-4 -6 -8

8 6 4 2

y

x -8 -6 -4 -2 2 4 6 8-2

-4 -6 -8

8 6 4 2

y

x -8 -6 -4 -2 2 4 6 8 -2

-4 -6 -8

8 6 4 2

y

x -8 -6 -4 -2 2 4 6 8-2

-4 -6 -8

8 6 4 2

y

Darby and Luke were playing a game. One of them would create a partial table of values and the other would have to complete the table and graph the result. Darby gave Luke the following table.

x 8 7 6 2 0 3 y 4 3 2

A. B.

C. D.


Use the following information to answer the next question. 22. Owen’s rate of pay, in dollars per hour, is

A. $60.00 B. $45.00 C. $30.00 D. $15.00

Use the following information to answer the next question.

23. The first step in solving this equation would be to add _____ to both sides.

A. –2,

B. 2,

C. 4,

D. –4,

Jared was solving equations.

2x + 4 = 2

=

0102030405060708090

0 1 2 3 4 5

Owen's Rate of Pay

Hours Worked

Am

ount

Ear

ned

($)

= x

= –1

Legend

= 1

= –x


Use the following information to answer the next question. 24. The correct solution is

A. 6 B. 7 C. 10 D. 13

Use the following information to answer the next question. 25. Sydney made a mistake on step

A. I B. II C. III D. IV

Gage is the special teams’ manager for the school team. He needs to solve the following equation to make sure he has the correct number of players.

2x – 7 = 19

Sydney showed her work when solving an equation.

4( 3) 8

4 3 8 I

4 3 3 8 3 II

4 11 III4 4

3.75 IV

x

x

x

x

x


Use the following information to answer the next question. 26. The solution to the equation is

A. –24 B. –6 C. 6 D. 24

=

Legend

= x

= –x

= x= –1


Use the following information to answer the next question. 27. The top view of the above 3-D object is

A.

B.

C.

D.


Use the following information to answer the next question. 28. Using linking cubes, rotate the following object 270 counterclockwise about a vertical

axis.

A.

B.

C.

D.

Front Right Side

Top

Front Right Side

Top

Front Right Side

Top

Front Right Side

Top

Front Right Side

Top


Use the following information to answer the next question. 29. The net for the right rectangular prism is

A. net 1 B. net 2 C. net 3 D. net 4

5 cm

5 cm

7 cm

5 Net 1

7

5

Net 2

5

7

Net 3 7

5

Net 4


Use the following information to answer the next question. 30. The 3-D object with the above side view is A. B. C. D.

Side View


Use the following information to answer the next question. 31. The area of the triangle to the nearest tenth is

A. 94.7 m2 B. 103.2 m2 C. 189.4 m2 D. 206.4 m2

Use the following information to answer the next question. 32. Joe flattened a cracker box. Find the surface area to determine the amount of cardboard

needed to manufacture the box.

A. 111 cm2 B. 180 cm2 C. 222 cm2 D. 360 cm2

15.4 m

13.4 m 12.3 m b × h = 2

A

3 cm

5 cm

12 cm

A l w


Use the following information to answer the next question. 33. The minimum amount of material required for Jordan’s tent (not including overlap) is

A. 266 dm2 B. 272 dm2 C. 306 dm2 D. 312 dm2

Jordan has a tent that he uses when he goes camping.

20 dm

3 dm

4 dm


Use the following information to answer the next 2 questions. 34. The measurement he needs is

A. volume B. surface area C. perimeter D. mass

35. How much water would be needed to fill the fish tank half full?

A. 13 500 mL B. 27 000 mL C. 54 000 mL D. 108 000 mL

Use the following information to answer the next question. 36. Determine the length of side c.

A. 10 cm B. 14 cm C. 28 cm2 D. 100 cm2

David bought a new fish tank on the weekend. He wants to know how much water he needs to fill the tank.

1 mL = 1 cm3

Given a2 + b2 = c2

64 cm2

36 cm2

c

30 cm 120 cm

30 cm


Use the following information to answer the next question. 37. A ship travels from port 30 km/h for 4 hours due East. It then travels due South at 20 km/h

for 2 hours. How far is the ship from port? (Solve to the nearest tenth.)

A. 36.1 km B. 72.1 km C. 126.5 km D. 160.0 km

Use the following information to answer the next question. 38. A ladder is leaning against a building. The distance from the bottom of the ladder to the

wall is

A. 4.0 m B. 6.3 m C. 8.9 m D. 14.4 m

N

E

S

W

8 m

?

12 m


Use the following information to answer the next question. 39. The object above is transformed using a

A. translation B. rotation C. reflection D. tessellation

Use the following information to answer the next question. 40. In order to create image R , the object R is

A. rotated B. translated C. reflected then rotated D. translated then rotated

A

A

x-axis

y-axis

R R


Use the following information to answer the next question. 41. In the above diagram where would the reflection line be?

A. x = 0 B. x = –1 C. y = 0 D. y = –1

y

x 1 2 3 4 5 6 7 8 9 -9 -8 -7 -6 -5 -4 -3 -2 -1

9 8 7 6 5 4 3 2 1 C B

A

C B

A

-1 -2 -3 -4 -5 -6 -7 -8

-9


Use the following information to answer the next question. 42. The new ordered pair for point B is

A. (–5, 1) B. (–2, 1) C. (–1, –1) D. (–1, 1)

ABC, where A(4,6), B(2,1) and C(6,2) is reflected about the x-axis and then translated 3 units to the left.

x

y

1 2 3 4 5 6 7 8 9 -9 -8 -7 -6 -5 -4 -3 -2 -1

9 8 7 6 5 4 3 2 1 C B

A

-1 -2 -3 -4 -5 -6 -7 -8

-9


Use the following information to answer the next question. 43. Given A B C , what is the coordinate of A using the translation [ 5, 3 ]?

A. ( 9, 1) B. ( 1, 7) C. (1, 5) D. (1, 1)

A

B C

y

1 2 3 4 5 6 7 8 9 -9 -8 -7 -6 -5 -4 -3 -2 -1

9 8 7 6 5 4 3 2 1

-1 -2 -3 -4 -5 -6 -7 -8 -9

x


Use the following information to answer the next question. 44. The probability of obtaining Heads and an odd number is

A. 16

B. 13

C. 12

D. 23

Grayson was flipping a coin and spinning a spinner. He came up with a tree diagram.

11 2

3

Coin Spinner Outcome

H, 1 H, 2 H, 3 T, 1 T, 2 T, 3

H

T

1 2 3

1 2 3


Use the following information to answer the next question. 45. The probability of the same number appearing on the card and the die is

A. 0.138

B. 0.16

C. 0.2 D. 0.4

Corbin has some cards and a die. He draws one card at random and rolls the die.

Sample Space

1 2 3 4 5 6 2 3, 2

Cards 3 2, 3 4 4, 4 5 6, 5 6 1, 6

Die


Part B: Numerical Response

5 questions

Sample questions and solutions

Instructions

Sample 1: Evaluate 35

35 = 3 3 3 3 3 = 243

Consider all numbers used in the questions to be exact real numbers.

Read each question carefully.

Record 243 on the answer sheet.

Record your answer on the answer sheet provided by writing it in the boxes and filling in the corresponding circles.

Use HB pencils only.

If you wish to change an answer, erase ALL traces of your first answer.

Sample 2:

Correct to the nearest tenth, when 19

14 is

expressed in decimal form, the result is

19

14 = 0.73684

= 0.7

Record 0.7 on the answer sheet

2 4 3

0 7

START PART B IMMEDIATELY.


.


Use the following information to answer the next question. 1. What is the denominator?

(Record your answer on the answer sheet.)

Use the following information to answer the next question. 2. The correct solution to this challenge question, written as a decimal rounded to the nearest

tenth is


Jack solved the following question and put the answer in lowest terms.

1 37 23 4

Lindsay was solving a challenge question.

1 1 3 11 + 2 2 2 4 8


Use the following information to answer the next question. 3. The length of each side of Morgan’s octagon is ________ cm.


Use the following information to answer the next question. 4. The probability of drawing a black marble from Bag 1 and a black marble from Bag 2, as a

decimal rounded to the nearest tenth is ______ .


Morgan drew an octagon. Justin also drew an octagon but each side of his octagon was 3 cm less than the sides of Morgan’s octagon. The perimeter of Justin’s octagon is 48 cm. An equation that could be used to model the length of a side of Morgan’s octagon is

8(x 3) = 48.

Morgan

Justin

P = 48 cm

Karli has 2 bags of marbles. She draws one marble from each bag. Bag 1 Bag 2


Use the following information to answer the next question. 5. A die is rolled and a coin is tossed 100 times. Given the information above, how many

times would the outcome be Heads on the coin and an odd number on the die?


1 2 3 4 5 6 Sample Space

H H1 H2 H3 H4 H5 H6 T T1 T2 T3 T4 T5 T6

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