Grade 7 Math Final Examination - Mr. Smith's Stuff

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Grade 8 Math Final Exam ? June 2012 ? Answer Key

Section 1: Non-Calculator

1.

A

2.

B

3.

D

4.

B

5.

D

6.

B

7.

D

8.

B

9.

C

10. C

Section 2: Calculator

11. B 12. C 13. A 14. C 15. D 16. A 17. C 18. D 19. A 20. C

21. C

22. D

23. C

24. C

25. B

26. C

27. B

28

A

29. C

30. C

31. A 32. C 33. C 34. B 35. B 36. A 37. A 38. D 39. D 40. A

Grade 8 Mathematics Final Exam Solutions

June 2012

Page 1

1. What is the length of the diagonal path, to the nearest tenth? Explain your

answer.

[3 Marks]

Marks 1 1

1

= + = + = +

=

= Students responses will vary however should include,

= = ~.

Grade 8 Mathematics Final Exam Solutions

June 2012

Page 2

2. Calculate (+3) ? (-5) by sketching a model of your choice (i.e. counters, number

line, etc.).

[2 Marks]

Marks

1 for model

One possible answer: 3 groups of -5 which is -15

1 for stating

-15

Another possible answer: Three groups of -5 which is -15

3. Janet has two pieces of ribbon that are each 6 1 m long. She needs to cut each piece

4

into smaller lengths of 3 m. She thinks she will get 18 pieces of the appropriate

4

length. Do you agree or disagree? Explain your answer.

[3 Marks]

Marks Methods may vary. One possible method of solving:

0.5

13 64?4

25 3 = 4 ?4

25 4

0.5

= 4 ?3

25

0.5

=3

1

0.5

= 83

1

Since she has two such pieces, she will get 16 pieces of appropriate length not

18 (she'll have two smaller pieces left over).

Grade 8 Mathematics Final Exam Solutions

June 2012

Page 3

4. Solve:

Marks

0.5 0.5 0.5 0.5

-3( + 2) = 15

[2 Marks]

-( + ) = - - = - - + = +

- - = - = -

Grade 8 Mathematics Final Exam Solutions

June 2012

Page 4

5. Determine the value of .

[3 Marks]

Marks

x2 y2 z2

1.5 marks

for each piece shown

242 x2 262 576 x2 676 x2 100 x 10

62 y2 102 36 y2 100 y2 64 y8

Grade 8 Mathematics Final Exam Solutions

June 2012

Page 5

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