Test Revision & Solution

Supplementary Questions. 1.

Find the values of the following without calculator. 7 (a) log715+ log7    15 

(b) log5125 3

(c) 81 2 2

(d) 1000 3 2.

Find the values of the following without using a calculator. (i) cos210° (ii) 2π tan() 3

3.

Solve the equation 2 sin 2θ − 1 = 0 , 0° ≤ θ ≤ 360°

4.

In ∆ABC shown in Figure 4, solve the ∆ABC if A = 30°, b = 10cm and a = 13cm. C Figure 4

b = 10cm

a = 13cm

) 30o A 5.

B

A and B are the points (-4, 0) and (5, 6) respectively. (a)

Find the slope of AB.

(b)

Find the length of AB.

(c)

Write down the coordinates of the mid-point of AB.

6.

Find the slope, x-intercept and y-intercept of the line 4x + 2y = 5.

7.

If

8.

(a) Convert the following complex number ( - 3 +j ) into polar form. (b) Hence find ( - 3 +j )10

9.

If

z1 = 1+ 2j ,

z=

and

z2 = 1 - j ; find

z1 z2

3+ j , find z and arg z using polar form approach. 1- j