Grade 8 Common Mathematics Assessment Answer Sheetmscallahanmmc.weebly.com/uploads/9/8/0/3/98031196/... · Grade 8 Common Mathematics Assessment Section A Page 4 of 5 Eastern School

Grade 8 Common Mathematics Assessment Answer Sheet

Name: _______________________ Mathematics Teacher: _______________________

Homeroom: _______________________

Page 1 of 1

Eastern School District June 15, 2012

Section A No Calculator Permitted

Section B Calculator Permitted

1. A B C D

2. A B C D

3. A B C D

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Page 1 of 5

Grade 8 Common Mathematics Assessment

June 15, 2012

Section A: No Calculator Permitted

Name:

Mathematics Teacher:

Homeroom:

IMPORTANT

You will have to complete your name and school information in three places: 1. Section A 2. Section B 3. Answer Sheet


12 Selected Response 12 points 5 Constructed Response 11 points Total 23 points

Section B: Calculator Permitted

28 Selected Response 28 points 9 Constructed Response 29 points Total 57 points

FINAL ____________ 80 Points

Grade 8 Common Mathematics Assessment Section A

Page 2 of 5


Selected Response: No Calculator Permitted. For items 1 – 12, circle the appropriate response on the answer sheet. 1. Which number is a perfect square? A. 18 B. 33 C. 36 D. 50

2. Which has an area of 100 m2?

A. 50 m

B. 25 m

C. 20 m

D. 10 m

3. Which is the best estimate of √60? A. 7.2 B. 7.7 C. 15 D. 30 4. Which multiplication statement is equivalent to (−3) + (−3) + (−3) + (−3)? A. (−4) × (−3) B. (−4) × (+3) C. (+4) × (−3) D. (+4) × (+3) 5. Calculate: (−5) × (+7) A. –35 B. –2 C. 2 D. 35 6. The local swimming pool drains at a rate of 6 cm per hour.

The water level dropped 42 cm. Which represents the time it took for the water level to change?

A. (−42) ÷ (−6) = +7

B. (−42) ÷ (−6) = −7 C. (−42) ÷ (+6) = −7 D. (−42) ÷ (+6) = +7

7. Calculate: (+18) ÷ (−9) × (−2) A. −4 B. −1 C. 1 D. 4


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8. Calculate: 4

9×

3

8

A.

1

6

B.

7

17

C.

3

2

D.

32

27

9. Which is equivalent to 4

5÷ 7?

A.

4

5×1

7

B.

4

5× 7

C.

5

4×1

7

D.

5

4× 7

10. Calculate: 31

3÷

5

6

A.

1

4

B. 1

C.

25

9

D. 4

11. Troy can read 3

5 of a page per minute.

How many pages can he read in 15 minutes?

A. 9

B. 142

5

C. 153

5

D. 25

12. A recipe uses 11

2 cups of chocolate chips to make 4 dozen cookies.

How many cups of chocolate chips are needed for 1 dozen cookies?

A. 1

6

B. 3

8

C. 8

3

D. 6


Page 4 of 5


Constructed Response: No Calculator Permitted. Answers to be written on this paper in the space provided. Show all workings. 13. The fence around a square field has a perimeter of 20 m.

What is the area of the field?

[2 points]

14. Use integer tiles OR a number line to model (−2) × (−4). Find the product.

[2 points]

15. Patricia has an error in her solution below. Circle her error and provide a correct solution. (−4) × (+2) − (−3) + (+4) = (−8) − (−3) + (+4) = (−8) − (+1) = −9

[2 points]


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16. Use fraction pieces, a number line, OR a rectangle to model

1

2×

5

6.

Find the product.

[2 points]

17. Calculate: 223× (

78− 2

3)÷ 5

9

[3 points]

End of Section A. Please raise your hand and your teacher will collect Section A.

You can now begin Section B.

Page 1 of 10

Grade 8 Common Mathematics Assessment

June 15, 2012


Name:

Mathematics Teacher:

Homeroom:


12 Multiple Choice 12 points 5 Constructed Response 11 points Total 23 points


28 Multiple Choice 28 points 9 Constructed Response 29 points Total 57 points

FINAL ____________ 80 POINTS

Grade 8 Common Mathematics Assessment Section B

Page 2 of 10


Selected Response: Calculator Permitted. For items 18 – 45, circle the appropriate response on the answer sheet. 18. What is the length of PQ̅̅ ̅̅ ? A. 12 cm

B. 17.5 cm C. 144 cm D. 306 cm

19. Which set of numbers is a Pythagorean triple? A. 2, 4, 8 B. 3, 4, 7 C. 4, 5, 41 D. 8, 15, 17 20. What net forms a right cylinder?

A.

B.

C.

D.

21. Which shapes are to be added to create a complete net of a square-based pyramid? A. one square and three triangles B. one triangle and three squares C. three squares D. three triangles

? m2

12 m2

10 m2

P

RQ

225 cm2

81 cm2


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22. What is the area of the net? A. 100.5 cm2 B. 301.6 cm2 C. 703.8 cm2 D. 904.9 cm2

23. How much non-skid material would be required to cover the top surface of the ramp shown below?

A. 12.6 m2

B. 18.9 m2 C. 30.9 m2 D. 37.8 m2

24. Which dimensions of a right rectangular prism have a volume of 180 cm3? A. 3 cm by 5 cm by 9 cm B. 3 cm by 9 cm by 10 cm C. 4 cm by 5 cm by 9 cm D. 4 cm by 9 cm by 10 cm 25. What is the height of a right cylinder with a volume of 800 cm3 and a base area

of 20 cm2? A. 2.5 cm B. 40 cm C. 400 cm D. 16 000 cm 26. What is the volume of this prism? A. 30 cm3 B. 60 cm3

C. 120 cm3

D. 240 cm3

27. Which best represents 250% on the number line?

500%

A B C D

0%

28. What is 0.25% of 140? A. 0.0035 B. 0.35 C. 35 D. 3500

A = 502.7 cm2

A = 201.1 cm2

Side

Top

3 m

2

m

6.3 m

6 m

5 cm

3 c

m

8 cm


Page 4 of 10


29. A tablet lowers in price from $260 to $195. What is the percent decrease?

A. 0.25% B. 0.33% C. 25% D. 33% 30. Which represents the ratio of circles to squares as 4 : 3? A.

B.

C.

D.

31. Which is equivalent to 18 : 40? A. 9 : 40 B. 18 : 80 C. 27 : 60 D. 27 : 80 32. A family portrait has a length to width ratio of 5 : 4.

If the length of the portrait is 28 cm, what is the width? A. 22.4 cm B. 35 cm C. 50.4 cm D. 63 cm 33. Which is the best buy? A. $0.50 for 1 juice box B. $3.12 for 8 juice boxes C. $6.72 for 24 juice boxes D. $12.40 for 40 juice boxes 34. What is the solution for the equation modelled?

= positive = negativeNote:

A. 𝑥 = −2 B. 𝑥 = −1 C. 𝑥 = 1 D. 𝑥 = 2


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35. Solve: −3 = 1 − 2𝑥 A. 𝑥 = −2 B. 𝑥 = −1 C. 𝑥 = 1 D. 𝑥 = 2 36. Julia made a mistake when she solved the equation

𝑥

2− 3 = 5.

At which step did she make her mistake?

Solve: 𝑥

2− 3 = 5

Step 1: 𝑥

2− 3 + 3 = 5 + 3

Step 2: 𝑥

2= 8

Step 3: 𝑥

2÷ 2 = 8 ÷ 2

Step 4: 𝑥 = 4 A. Step 1 B. Step 2 C. Step 3 D. Step 4 37. Alan delivers newspapers. Each week he earns $10 plus $0.25 per newspaper he

delivers. Which equation relates Alan’s earnings (E) to the number of newspapers delivered (n)?

A. E = 10 + 0.25𝑛 B. E = 10𝑛 + 0.25 C. 𝑛 = 10 + 0.25E D. 𝑛 = 10E + 0.25 38. What is the relationship between the variables in the graph?

x- 5 - 4 - 3 - 2 - 1 1 2 3 4 5

y

- 5- 4- 3- 2- 1

12345

A. As x-values increase by 1, the y-values decrease by 2. B. As x-values increase by 1, the y-values increase by 2. C. As x-values increase by 2, the y-values decrease by 1. D. As x-values increase by 2, the y-values increase by 1.


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39. Joan and Peter’s test scores are displayed in the graph below. Which student improved the most, and by how much?

A. Joan, by 10 marks B. Joan, by 40 marks C. Peter, by 10 marks D. Peter, by 30 marks

40. Andrea has the choice to wear grey or black pants, with a red, purple, or green shirt. What is the probability that Andrea will wear black pants and a purple shirt?

A. 1

6

B.

1

5

C.

2

5

D.

2

3

41. What is the probability of spinning an odd number and the letter M? A. 5% B. 10% C. 15% D. 44%

42. Which 3D object do these views describe?

Top

Left Front Right

A.

Front View

B.

Front View

C.

Front View

D.

Front View

Test Marks

Test Number1 2 3 4 5

Ma

rk

(

%)

10

20

30

40

50

60

70

80

PeterJoan

12

34

5

M A

TH


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43. What is the top view after this object is rotated 90 about the horizontal axis away from you?

Front View

axis of rotation

A.

B.

C.

D.

44. Which will NOT tessellate?

A.

B.

C.

D.

45. What transformation(s) are used to create this tessellation?

A. reflection B. reflection, translation C. rotation, translation D. translation Constructed Response: Calculator Permitted. Answers to be written on this paper in the space provided. Show all workings.

46. The size of an IMAX movie screen measures 22 m by 16 m. What is the length of its diagonal (to the nearest metre)?

16

m d

22 m

[3 points]


Page 8 of 10


47. A gift box measures 40 cm by 20 cm by 8 cm. If an extra 86 cm2 of wrapping is needed to allow for the overlapping at the edges, what is the total amount of wrapping needed to cover the entire gift box?

[4 points]

48. Calculate the volumes of cylinders P and Q. Determine which has a greater volume.

10

c

m

P

Q

A = 22.5 cm2

A = 46.8 cm2

4 c

m

[3 points]

49. The regular price of a jacket is $89.99. It is currently on sale for 25% off.

a) Determine the sale price of the jacket.

b) Harmonized Sales Tax in Newfoundland and Labrador is 13%. Determine the final price of the jacket.

[4 points]


Page 9 of 10


50. The ratio of boys to girls at Eastern Junior High is 3:4. If there is a total of 210 students, how many are girls?

[3 points]

51. Solve: 2(𝑥 − 4) = −10 [2 points]

52. Dennis purchased AHL hockey game tickets on the internet. Each ticket costs $25. Dennis was charged a one-time processing fee of $5. An equation for this relation is C = 25n + 5, where C is the total cost and n is the number of tickets bought.

[3 points]

A. Complete the table of values.

# of tickets n

Total cost C

1

2

3

4

B. Graph the relation.

n

C


Page 10 of 10


53. The Grade 8 students voted on where to travel for a school trip. The results are shown below.

School Trip

10

20

30

40

50

60

70

St

.

Pi

er

re

Ir

el

an

d

Ha

wa

ii

Nu

mb

er

o

f

Vo

te

s

[3 points]

A. How many students voted in total?

B. How many times more popular was Ireland than St. Pierre?

C. The principal concluded that the majority of students (more than 50%) wanted to go to Ireland. Is the principal correct? Explain.

54. Draw the front, left, right, and top views of the object.

Front View

[4 points]

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Grade 8 Common Mathematics Assessment Answer Sheetmscallahanmmc.weebly.com/uploads/9/8/0/3/98031196/... · Grade 8 Common Mathematics Assessment Section A Page 4 of 5 Eastern School