# Questions On Principles Of Mathematics

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Principles of Mathematics 12
2007/08 — Released Exam January 2008 — Form B Provincial Examination — Answer Key
Cognitive Processes K = Knowledge U = Understanding H = Higher Mental Processes Weightings 10% 70% 20% Prescribed Learning Outcomes (PLOs) A Question Type 44 = Multiple Choice (MC) 7 = Written Response (WR)

Topics 1. Patterns and Relations

A1–A3: Geometric Sequences and Series A4–A6, A13–15: Logarithms and Exponents A7–A12, A16-A18: Trigonometry B1–B6: Shape and Space C1–C5: Combinatorics C5–C10: Probability

2. Shape and Space 3. Statistics and Probability

B C

Question Number

Keyed Response

Cognitive Process

Mark

Topic

PLO

Question Type

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22.

D A A B D D B B A D C C D B D C B A A B C B

K U U U U U H U K U U U H H U U K U U H H U

1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5

2 1 2 1 1 1 1 2 1 1 2 1 1 1 3 2 3 2 3 2 2 2

A17 A16 A8 A7 A12 A17 A17 A9 A14 A4 A5 A6 A6 A5 C2 B2 B2 B6 B3 B6 B6 A9

MC MC MC MC MC MC MC MC MC MC MC MC MC MC MC MC MC MC MC MC MC MC
Page 1

Principles of Mathematics 12 – 0801 Alternate Form B Key

Question Number

Keyed Response

Cognitive Process

Mark

Topic

PLO

Question Type

23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. 37. 38. 39. 40. 41. 42. 43. 44.

C C C D C B D D B A B C C C C A B D C B D A

U U H K U U U U H K U U U U U U U U U U H U

1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5

1 1 1 2 1 1 1 1 2 1 2 1 3 4 3 3 3 3 3 3 3 3

A16 A11 A18 A1 A1 A3 A2 A1 A3 A13 A14 A15 C4 C1 C3 C5 C2 C8 C5 C6 C10 C7, C10

MC MC MC MC MC MC MC MC MC MC MC MC MC MC MC MC MC MC MC MC MC MC

Question Number

Keyed Response

Cognitive Process

Mark

Topic

PLO

Question Type

1. 2. 3. 4. 5. 6. 7.

– – – – – – –

U U U U U U H

3 2 5 5 3 1 5

2 2 1 3 1 1 1

B5 B4 A14 C9, C10 A9 A10 A11, A12

WR WR WR WR WR WR WR

Principles of Mathematics 12 – 0801 Alternate Form B Key

Page 2

Principles of Mathematics 12
2007/08 — Released Exam January 2008 — Form B Provincial Examination — Scoring Guide

Use the following graph to answer questions 1 and 2. The graph of y = f ( x ) is shown below.

y

5

y = f (x) x
–5 5

–5

Principles of Mathematics 12 – 0801 Alternate Form B Scoring Guide

Page 1

1. On the grid provided, sketch the graph of y =

f (x) + 2 .

(3 marks)

SOLUTION __________________________________________________________________ y 5

x
–5 5

–5

1 mark: vertical translation 1 mark: absolute value 1 mark: reflection in x-axis Note(s): Cap at 2 marks if wrong order of transformations.

Principles of Mathematics 12 – 0801 Alternate Form B Scoring Guide

Page 2

2. On the grid provided, sketch the graph of y =

1 . f (x)

(2 marks)

SOLUTION__________________________________________________________________ y 5

x
–5 5

–5

1 2

mark: asymptotic behaviour

1 mark: invariant points
1 2

mark: shape

Note(s): Deduct

1 2

mark if graph does not end at correct points.

Principles of Mathematics 12 – 0801 Alternate Form B Scoring Guide

Page 3

3. In a population of moths, 78 moths increase to 1000 moths in 40 weeks.…