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Math 12 Old Provincial Exam Bank

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; Subject: ; Class: ; with 15 questions; test in 15 minutes; update 27/04/2018
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Subjects Update 27/04/2018
Class Number of questions 15
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Question 1.

Evaluate: \(tan{5\pi\over3}\)

(A)

\(-{1\over \sqrt3}\)

(B)

\({1\over \sqrt3}\)

(C)

\(-\sqrt3\)

(D)

\(\sqrt3\)

Question 2.

The terminal arm of angle \(\theta\) in standard position intersects the unit circle at the point (m, n). Which expression represents \(cot\theta\) ?

(A)

m

(B)

n

(C)

\(n\over m\)

(D)

\(m\over n\)

Question 3.

If the graph of the function shown below has the equation y = acosb(x - c) + d , determine the value of d.

(A)

3

(B)

5

(C)

6

(D)

9

Question 4.

Determine an equation of an asymptote of y = sec 3x .

(A)

\(x = {\pi \over6}\)

(B)

\(x = {\pi \over3}\)

(C)

\(x = {2\pi \over 3}\)

(D)

\(x = \pi\)

Question 5.

Which expression is equivalent to \(sin(\pi + 2x)\) ?

(A)

2cos2x - 1

(B)

1 - 2cos2x

(C)

2sinxcosx

(D)

-2sinxcosx

Question 6.

Convert \(8 \pi \over 3\) radians to degrees.

(A)

60o

(B)

120o

(C)

240o

(D)

480o

Question 7.

Determine the minimum value of the function  y = -3sin2x + 4.

(A)

-7

(B)

-3

(C)

-1

(D)

1

Question 8.

The terminal arm of angle \(\theta\), in standard position, passes through the point (-2, 9). Determine the value of  sin \(\theta\).

(A)

\(-2\over{\sqrt77}\)

(B)

\(9\over{\sqrt77}\)

(C)

\(-2\over{\sqrt85}\)

(D)

\(9\over{\sqrt85}\)

Question 9.

Simplify:  \(4cos^26x - 2\)

(A)

2cos3x

(B)

4cos3x

(C)

2cos12x

(D)

4cos12x

Question 10.

Evaluate: \(log_\sqrt7 7^3\)

(A)

\(2 \over 3\)

(B)

\(3 \over 2\)

(C)

6

(D)

9

Question 11.

Solve: \(log_2(log_9x)=-1\)

(A)

\(1\over81\)

(B)

\(1\over3\)

(C)

3

(D)

81

Question 12.

Solve: \(5^{x+1} = 2(3^{2x})\)

(A)

\(x={-log5\over1- 2log6}\)

(B)

\(x={-log5\over log5 - 2log6}\)

(C)

\(x={log2 - log5\over1-2log3}\)

(D)

\(x={log2-log5\over log5-2log3}\)

Question 13.

Determine the number of pathways from point A to point B if only moves to the right and down are permitted.

(A)

18

(B)

19

(C)

23

(D)

47

Question 14.

The smallest positive solution of  tanbx = 2 is  x = 0.3. Determine the general solution of  tanbx = 2.

(A)

\(0.3 + 2n\pi \), n is an integer

(B)

\(0.3 + 2bn\pi \), n is an integer

(C)

\(0.3 + n\pi\over{b} \), n is an integer

(D)

\(0.3 + 2n\pi\over{b} \), n is an integer

Question 15.

The y-intercept of the function y = f(x) is 5. Determine the y-intercept of y = f(x) + 3 .

(A)

-2

(B)

-8

(C)

8

(D)

2

Question 1    Question 2    Question 3    Question 4    Question 5    Question 6    Question 7    Question 8    Question 9    Question 10    Question 11    Question 12    Question 13    Question 14    Question 15   
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