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.