Cameroon GCE ordinary level June 2025 additional mathematics 2
Cameroon GCE ordinary level June 2025 additional mathematics 2
SECTION A: PURE MATHEMATICS
THIS SECTION IS COMPULSORY TO ALL CANDIDATES
(ANSWER ALL QUESTIONS)
(i) Given that (x + 2) is a factor of /(x) , where /(x) = x 3 + kx2 — 10x — 8,
a) find the value of the constant k.
| With this value of k , b) factorize /(x) completely. |
(2 marks) |
(ii) The quadratic equation x2 + 4x + 1 = 0, has roots a and p.
a) State the values of a 4– /? and ap,
b) Write down another quadratic equation with roots 2a and 2p.
(i) A committee of 3 boys and 4 girls is to be chosen from 5 boys and 6 girls. Find the number of
committees that can be formed.
(ii) Find the numerical value of the term independent of x in the binomial expansion of (x2
1
(2 marks)
(1 mark)
(3 marks)
2.
(4 marks)
2 \1 2
~i) (4 marks)
A farmer plants yam in a farmland which is divided intolO plots, and an average of 4500FCFA is spent on
fertilizer and labour on each plot. Given that the farmer harvests the yams from the 10 plots and sell each yam
at an average of 2500 FCFA. The table below shows the harvest and the sales of the yams for the first 3 plots.
3.
Income made by
the farmer from
each plot
Number
of plots
Amount spent
on fertilizer
and labour
| Number of yams |
Amount Total |
1 |
| harvested Yam |
||
| per | selling price 50000 |
|
| 20 | 2500 |
4500 45500
2 24 2500 60000 4500 55500
3 28 2500 70000 4500 65500
Find;
a) the number of yams harvested from the 10th plot,
b) the total selling price from the 10 plots,
c) the total income made from the farmland.
(3 marks)
(3 marks)
(2 marks)
4. (i) An operation * defined on the set S = {1.5,7,11} where * is multiplication modulo 12.
a) Copy and complete the table below. (2 marks)
b) Show that S forms a group under *.
[ Assume associativity]
(ii) The transformation, T is defined by T : (x, y) —> (2x — y, x — y).
Find the point whose image under the transformation T is (5,3).
