Ecz additional mathematics grade 12 2014 paper 2
1 Solve the simultaneous equations
p- 3q + 2r = 2,
2p – q + r = 5,
2p + q + 4r = -3.
2 (a) Find the range of values of x for which 4×2 – 8x- 5 > 0.
(b) Express 7- 5x- 2×2 in the form a(x + b)2 + c, where a, b and c are constants.
Hence, find the co-ordinates of the maximum turning point.
3 (a) Find the value of p, given that the expression 2X3 +px2 -x- 2 is divisible by x + 3. [3]
(b) Factorise the expression 2×3-llx2 + 17x – 6. [4]
4 Solve the equations
(a) 3Zx+1— 3X = 4 [4]
(b) lg(3x + 2) + 6 lg2 = 2 + lg(2x + 1).
5 (a) A family consists of a father, mother and six children. Find the number of ways of
arranging them in a straight line if
(i) there are no restrictions,
(ii) the arrangements start and end with a parent.
(b) A chess team consisting of 8 boys and 5 girls is to be chosen from 10 boys and 7 girls.
In how many ways can this be
