Free Printable Competition Time

1.

What is the sine of angle C

a)

7/24

b)

7/25

c)

24/25

d)

25/24

2.

If tanθ = 3/4, what is cosθ?

a)

3/5

b)

4/5

c)

4/3

d)

3/4

3.

Cos 0 =

a)

0

b)

1

c)

-1

d)

undefined

4.

Which is the correct equation for the diagram?

a)

b)

c)

d)

5.

Which one below is correct?

a)

b)

c)

d)

6.

a)

11.54

b)

11.536

c)

11.537

d)

11.53

7.

How many radians are in one revolution?

a)

$2\pi$

b)

$360\degree$

c)

$\frac{\pi}{2}$

d)

$\pi$

8.

How many Radians in 60 $\degree$ ?

a)

$\frac{3\pi}{2}$

b)

$\frac{\pi}{4}$

c)

$\frac{\pi}{3}$

d)

$\frac{\pi}{6}$

9.

What is $\frac{11\pi}{6}$ in degrees?

a)

30

b)

330

c)

185

d)

300

10.

Find a conterminal angle to 20 degrees.

a)

740

b)

690

c)

760

d)

320

11.

Which of the following is a negative coterminal angle of 165 degrees?

a)

-165

b)

-500

c)

-555

d)

-525

12.

What are the negative and positive coterminal angles of -225 degrees?

a)

$375\degree,-600\degree$

b)

$135\degree,-585\degree$

c)

$125\degree,-356\degree$

d)

$60\degree,-120\degree$

13.

Approximate the angle of rotation's degree measure

a)

135 $\degree$

b)

-135 $\degree$

c)

95 $\degree$

d)

175 $\degree$

14.

Approximate the angle of rotation's degree measure

a)

$-200\degree$

b)

$180\degree$

c)

$-260\degree$

d)

$130\degree$

15.

Positive angles rotate in the (a) direction.

16.

Approximate the angle of rotation's degree measure

a)

$-270\degree$

b)

$350\degree$

c)

$-90\degree$

d)

$-350\degree$

17.

Find the arc length. Leave your answer in terms of π.

a)

$\frac{7\pi}{4}$

b)

$\frac{7\pi}{2}$

c)

$45\pi$

d)

$\frac{\pi}{8}$

18.

The length of an arc is 18cm and the radius of the circle is 6cm. What is the radian measure of the central angle?

a)

3 radian

b)

2 radian

c)

4 radian

d)

$2\pi\ radian$

19.

Find Arc Length.

a)

$\frac{3\pi}{4}$

b)

$\frac{39\pi}{4}$

c)

$\frac{13\pi}{4}$

d)

$\frac{4\pi}{13}$

20.

Find an angle coterminal with an angle measuring 17π / 4 radians.

a)

$\frac{\pi}{4}$

b)

$\frac{\pi}{3}$

c)

$\frac{5\pi}{4}$

d)

$\frac{13\pi}{4}$

21.

.

Which of the following shows −210° graphed in standard position?

a)

b)

c)

d)

22.

Solve for missing d.

a)

19.5

b)

18.5

c)

18.9

d)

19

23.

Select the correct ratio for Cos C

a)

$\frac{30}{34}$

b)

$\frac{34}{30}$

c)

$\frac{16}{34}$

d)

$\frac{16}{30}$

24.

Which inverse trig function would you use to find the measure of Angle B?

a)

Inverse Sine

b)

Inverse Cosine

c)

Inverse Tangent

d)

Impossible to determine

25.

What is the Value X and Y?

a)

$x=10$

y= $5\sqrt[]{3}$

b)

$x=5$

$y=5\sqrt[]{3}$

c)

$x=2.5$

$y=2.5$

d)

$x=5$

$y=10$

26.

What is the simplified form of (-9 + 5i) + (3 -2i)?

a)

-12 + 31i

b)

-6 + 3i

c)

-11 + 7i

d)

5 - 3i

27.

What is the simplified form of (8 -3i)²?

a)

73

b)

16 - 6i

c)

55 + 48i

d)

55 - 48i

28.

.

What is the simplified form of the above?

a)

$\frac{7}{10}+\frac{11}{10}i$

b)

$\frac{13}{10}+\frac{1}{10}i$

c)

$\frac{5}{4}-\frac{3}{2}i$

d)

$\frac{7}{10}-\frac{11}{10}i$

29.

Simplify i³⁷

(a)

30.

Simplify i⁴³

(a)

31.

Evaluate

(a)

32.

$x^2+6x+13=0$

Solve for x

a)

x = {-3+2i, -3-2i}

b)

x = {7, 6}

c)

x = 2±i√3

d)

No solution

33.

$3-\left(-2+4i\right)-\left(5i\right)$ =

a)

5-i

b)

-1-9i

c)

5-9i

d)

3-5i

34.

$\left(-1-3i\right)+\left(4-5i\right)-\left(-6+3i\right)$

a)

-3-11i

b)

3-6i

c)

3-11i

d)

9-11i

35.

Simplify $-4\ \sqrt[]{-63}$

a)

$3i\sqrt[]{7}$

b)

$-12i\sqrt[]{7}$

c)

$-3i\sqrt[]{7}$

d)

$-4i\sqrt[]{7}$

36.

$\sqrt[]{-5}\ \sqrt[]{-5}$

(a)

37.

If you are given the two sides that are not the hypotenuse, which trigonometric function should you use?

a)

Sine

b)

Cosine

c)

Tangent

38.

What is Sec(T)?

(a)

39.

From ∠C, what side is AB?

a)

Adjacent

b)

Hypotenuse

c)

Opposite

40.

Which of the following illustrates Cos 52?

a)

ED/JD

b)

JE/JD

c)

ED/JE

d)

JD/JE

41.

You look up at a 62 m tall building and find that the angle of elevation from the ground to the top of the building is 51 degrees. How far away from the building's base are you?

a)

76.6 m

b)

50.2 m

c)

48.2 m

d)

39.0 m

42.

A tourist views a deer from a height of 45 feet. The horizontal distance between the tourist and the deer is 130 feet. At what angle (x) should the tourist hold his camera to photograph the deer? Round your answer to the nearest degree.

a)

$19\degree$

b)

$45\degree$

c)

$71\degree$

d)

$138\degree$

43.

What is the measure of the given Angle?

a)

$-940\degree$

b)

$-40\degree$

c)

$120\degree$

d)

$-240\degree$

44.

$i^{11}+i^{22}$ =

(a)

45.

Evaluate $\sqrt[]{-300}$

a)

10i√3

b)

15√15

c)

-10√3

d)

2i√13

Competition Time

Total questions: 45

Worksheet time: 45mins

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