Formative Assessment - 2

Sanjay Ghodawat International School

AS Level Mathematics

Formative Assessment  - 2

Total marks : 20                                                        Duration : 30 min          

Multiple Choice

Find, in terms of  $\pi$  , the arc length of a sector of radius 8 cm and angle  $\frac{\pi}{4}$ .     [1]

•  $\pi$  

•  $2\pi$  

•  $3\pi$  

•  $8\pi$  

Multiple Choice

Find, in radians, the angle of a sector of a radius 5 cm and Perimeter 19.2 cm. [2]

• 1.0 rad

• 1.1 rad

• 1.2 rad

• 1.3 rad

Multiple Choice

Find the perimeter of the sector. [2]

• 36.25 cm

• 26.25 cm

• 10.5 cm

• 20.5 cm

Multiple Choice

Find the area of the shaded region.                                  [2]

•  $42.9\ cm^2$  

•  $21.9\ cm^2$  

•  $47.0\ cm^2$  

•  $37\ cm^2$  

Multiple Choice

Find, in terms of  $\pi$  , the area of a sector of radius 10 cm and angle  $\frac{2\pi}{5}$ radians. [1]

•  $10\pi$  

•  $20\pi$  

•  $30\pi$  

•  $4\pi$  

Multiple Choice

Find, in radians, the angle of a sector of a radius 5 cm and arc length 10 cm. [2]

• 1

• 2

• 15

• 25

Multiple Choice

Given that  $\tan\theta=\frac{3}{4}$  and that θ is acute, find the exact value of  $2\sin\theta\cos\theta$  .     [2]

•  $\frac{21}{25}$  

•  $\frac{22}{25}$  

•  $\frac{23}{25}$  

•  $\frac{24}{25}$  

Multiple Choice

Given that  $\sin\theta=\frac{2}{5}$  and that θ is obtuse, find the value of  cosθ.    [2]

•  $\frac{\sqrt{21}}{5}$  

•  $-\frac{\sqrt{21}}{5}$  

•  $\frac{\sqrt{29}}{5}$  

•  $-\frac{\sqrt{29}}{5}$  

Multiple Select

Tick the correct answer(s).         [1]

•  $-1\le\sin\theta\le1$  

•  $-1\le\cos\theta\le1$  

•  $-1\le\tan\theta\le1$  

•  $All\ the\ above$  

Multiple Choice

Which of the following is the period of the function  $\sin2\theta$  ?             [1]

• 90

• 180

• 270

• 360

Multiple Choice

Which of the following is the graph for  $2+3\sin\theta$  ?            [2]

Multiple Choice

Which of the following is the maximum and the minimum value of the function  $3+2\cos\theta$  ?           [2]

• Maximum 6 and Minimum 3
  

• Maximum 6 and Minimum 2
  

• Maximum 5 and Minimum 3
  

• Maximum 5 and Minimum 1
  

THANK YOU