O level south west regional mock gce 2022 additional mathematics 2

O level south west regional mock gce 2022 additional mathematics 2

O level south west regional mock gce 2022 additional mathematics 2

SECTION A : PURE MATHEMATICS
THIS SECTION IS COMPULSORY TO ALL CANDIDATES
( ANSWER ALL QUESTIONS )
1(|) When (a). Find the polynomial the value of/p(*. ). = *3 + px2
Given (b). Show that with thatthis /(xvalue ) = (xof-fp,3x)+(3x2is—a factor 4). Hence of/,(factorise *), /(x) completely.
(ii) The equation x2 — 3x + 1 = 0 has roots a and /?. Find the quadratic equation with integral
a— and^p .
– 4x- 12 is divided byx- 1,the remainderis-12.
(2 marks)
(2 marks)
coefficients whose roots are a-1 (4 marks)
2(i) (a). In how many ways can a manager select a volleyball team of 4 left-handed and 2 righthanded players from a club of 7 left-handed and 5 right-handed players?
(b). How many possible arrangements are there of the letters of the word ARRANGEMENT?
(ii) Find the coefficient of x 3, in the expansion of (x —^)9 in ascending powers of x.

3. An engineer signed a one-year contract of work with a construction Company stipulating that
-His starting salary would be 200,000 FCFA, with taxes.
-He would have a 5% increase in salary in the third month,
-Thereafter, the salary increase would come every second month following the last increase.
He started work on the 1st of June, 2019. Different from his bi-monthly salary increase, he got a 10% salary
increase in the eighth month due to a promotion.
(a). Copy and complete the table below, showing his monthly salary balance in the first ten months, given
that he paid monthly taxes equal to 1,5% of his gross salary
(b). Verify, correct to 2 d.p., the percentage of his total gross salary lost as taxes in this period. (2 marks)