# Math 12 Old Provincial Exam Bank

Subject: ; Class: ; with 15 questions; test in 15 minutes; update 27/04/2018
 Time 15 minutes Time to take the test Start exam Click button start to test. Guide to the test Subjects Math test Update 27/04/2018 Class Grade 12 Number of questions 15 View 946 Tested 1

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