Unit 1 Pure Mathematics (2013) P1

l

-J6 (A) 1J' (B) 4J? (c) 4J' (D) -6J' Jg *J-zz

gives - liji .12+l -

can be simplified as

Rationalisins

(A) t-2J' (B) 3-2Ji (c) r+Ji (D) t+2Jj 5.

lf p

and

q are positive integers such that

p < q, then which of the following statements iVare conect?

(B) (c)

I. .r+ II. x- | IIL x+2 IV. x-2 1

(A) (B) (C) (D)

t I

(c)

t 3

,

lo

Which of the following are factors of 4 x4 +8x3 -2x2 -6x-4?

I only II only I and III only II and III only

THIRD root is

(B)

-r0

(D) ll

Two roots of the cubic equation ?j + 3x2 - 5x - 6 are -l and -2. The (A)

a remainder of 7 is obtained when :f - 3.r + k is divided by.r - 3, then k equals

(A) -ll

l' -p>-q ll. f>pq III. p-llxl,a>0,are

The values

(A) ,.9 J

ort

ro

(A)

a+ p+y

(B)

-7 -3 aB+BY+Ya=d+ P+Y=--:,

(B) *.-4 o, , , o J

(c)

^37 dP+ltY+Yd=a+P+/=-, 4J

(c)

=-, 33aB+By+ya=-

43

J

a+p+y=-, aB+BY+Ya=i 5J

The annual growth, g(x), (in thousands) of the population over x years i5 repre-sented by g(x) = 2*. Over how maiiy years will an annual growth of 32 thou.

(D) 14.

(A)

(A)

s

x!

3

ihestatementpv-pisa

(A) (B) (C) (D)

sand be achieved

logl5

x>-aandx