Math 9th Chap 6 : Topic 1 - Maryam Publications

Math Chapter 6 : Topic 1

Angles and Radians

1 / 25

An angle in standard position has its initial side:

A) Along $y$-axis

B) Along positive $x$-axis

C) Anywhere

D) Along negative $x$-axis

2 / 25

The terminal side of a ${90}^{o}$ angle lies on:

A) Negative $x$-axis

B) Positive $x$-axis

C) Positive $y$-axis

D) Negative $y$-axis

3 / 25

Which angle is equal to $\frac{\pi}{2}$ radians?

A) ${180}^{o}$

B) ${45}^{o}$

C) ${60}^{o}$

D) ${90}^{o}$

4 / 25

The angle $\pi$ radians corresponds to:

A) ${360}^{o}$

B) ${180}^{o}$

C) ${270}^{o}$

D) ${90}^{o}$

5 / 25

Which quadrant does ${135}^{o}$ lie in?

A) Second

B) First

C) Fourth

D) Third

6 / 25

Which of the following is equal to ${270}^{o}$ in radians?

A) $2\pi$

B) $\frac{\pi}{2}$

C) $\pi$

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

7 / 25

An angle of ${360}^{o}$ in radians is:

A) $\pi$

B) $2\pi$

C) $3\pi$

D) $\frac{\pi}{2}$

8 / 25

Which angle lies in the third quadrant?

A) ${210}^{o}$

B) ${60}^{o}$

C) ${330}^{o}$

D) ${120}^{o}$

9 / 25

Convert ${45}^{o}$ into radians:

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

B) $\frac{\pi}{4}$

C) $\frac{\pi}{6}$

D) $\frac{\pi}{2}$

10 / 25

Which angle is co-terminal with ${30}^{o} $?

A) ${390}^{o}$

B) ${60}^{o}$

C) ${330}^{o}$

D) ${180}^{o}$

11 / 25

Which angle lies on the negative $x$-axis?

A) ${180}^{o}$

B) ${270}^{o}$

C) ${360}^{o}$

D) ${90}^{o}$

12 / 25

Convert $\frac{2\pi}{3}$ radians into degrees:

A) ${60}^{o}$

B) ${90}^{o}$

C) ${180}^{o}$

D) ${120}^{o}$

13 / 25

Which angle is in standard position but negative?

A) ${180}^{o}$

B) ${60}^{o}$

C) $- {90}^{o}$

D) ${270}^{o}$

14 / 25

The angle $(- {90}^{o})$ lies on:

A) Positive $x$-axis

B) Negative $y$-axis

C) Positive $y$-axis

D) Negative $x$-axis

15 / 25

Which of the following equals $\frac{5\pi}{3} $?

A) ${210}^{o}$

B) ${150}^{o}$

C) ${330}^{o}$

D) ${300}^{o}$

16 / 25

An angle of $\frac{\pi}{6} $ lies in:

A) Fourth quadrant

B) Third quadrant

C) First quadrant

D) Second quadrant

17 / 25

Which angle completes one full clockwise rotation?

A) ${360}^{o}$

B) ${0}^{o}$

C) $- {360}^{o}$

D) ${180}^{o}$

18 / 25

Which is NOT a co-terminal angle of ${90}^{o} $?

A) ${810}^{o}$

B) ${450}^{o}$

C) ${180}^{o}$

D) $- 270^{\circ}$

19 / 25

Convert ${225}^{o}$ into radians:

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

B) $\frac{9\pi}{4}$

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

D) $\frac{7\pi}{6}$

20 / 25

Which angle lies in the fourth quadrant?

A) ${150}^{o}$

B) ${200}^{o}$

C) ${120}^{o}$

D) ${300}^{o}$

21 / 25

The smallest positive co-terminal angle of $- {450}^{o}$ is:

A) ${270}^{o}$

B) ${180}^{o}$

C) ${90}^{o}$

D) ${360}^{o}$

22 / 25

Which angle corresponds to $2\pi$ radians?

A) Quarter rotation

B) No rotation

C) Half rotation

D) Full rotation

23 / 25

Which angle lies exactly on the positive $y$-axis?

A) $180^{\circ}$

B) ${0}^{o}$

C) ${90}^{o}$

D) $270^{\circ}$

24 / 25

Convert $\frac{7\pi}{6}$ radians into degrees:

A) ${240}^{o}$

B) ${300}^{o}$

C) ${210}^{o}$

D) ${180}^{o}$

25 / 25

Which angle represents no rotation?

A) ${90}^{o}$

B) ${180}^{o}$

C) ${360}^{o}$

D) ${0}^{o}$

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