p.4
2b) Find the remainder when x^3 + 1 is divided by x + 2
3a) Find the sum of the first 20 terms of the A.P. 1 , 5 , 9 , ... .
b) Find the sum to infinity of the G.P. 9 , 3 , 1 , ... .
4. Mr Cheung bought a flat in 1993 for $2 400 000. He made a profit of 30% when he sold the flat to Mr Lee in 1994.
a) Find the price of the flat that Mr Lee paid.
b)Mr Lee then sold the flat in 1995 for $3 000 000 . Find his percentage gain or loss
5.It is given that x : y+1 = 4 : 5
a) Express x in terms of y
b) If 2x + 9x = 97 , find the values of x and y
6. Solve the trigonometric equation
p.5
7.Solve the following equations without using a calculator
8.In Figure 3 , the line y = k (k > 0) cuts the curve y = x^2 - 3x - 4 at the points A(0 , k) and B(1 , k)
a) i) Find the value of x + x
ii) Express XX in terms of k
b) If the line AB cuts the y-axis at P and BP = 2PA , find the value of k