Ordinary level 2024 South West mock additional mathematics 2
Ordinary level 2024 South West mock additional mathematics 2
10) ,-H,M.ofthe polynomial – 2a’ +(U* + 2* + &ÿ Giventhai a. the y- intercept of,he curve
y =f{x),y = 3, (4 marks)
(a). Find the values of a and k.
Hence, (2 marks)
(b). factorisc /(x) completely.
(ii) The equation 3×2 — 5x – 1= 0 has roots a and /?. Findthe quadratic equation with integral coefficients
,
whose roots . are -2.2 and – . (3 marks)
a p
2(i) (a). Findthe number of possible arrangements of the letters of the word PARALLELOGRAM .(2 marks)
(b). Inhow many ways can a shepherd select 6 goats or 8 sheep from a farm of 20 goats
and 30 sheep? { marks)
(ii) (a). Findthe first four terms inthe binomial expansion of (1+ 3x)-2 in ascending powers ofx, simplifying
your answer as far as possible ‘ marks)
(b).Find also, the quotient of the coefficient of x3 by that of x2. 0 ntark)
3. A company produces tomato paste insmall tins which are packaged incartons of 50. The company s
delivery trucks are all linedup in a sequence, according to their capacities(number of cartons),defined by
Un = 10[3ÿ7-“ÿ].The last truck carries 30 cartons of tomato tins.
(a). Calculate the number of tins of tomato delivered by the second truck. (3 marks)
(b). Findthe number of delivery trucks linedup. (2 marks)
(c). Findthe total number of cartons delivered by all the trucks. (4 marks)
4(i) Given that the set S = [k,m,I,n) and the binary operation * form an abelian group,
(a). Findthe elements (1), (2), (3), (4) and (5) inthe following table:
