MINISTRY OF EDUCATION AND HUMAN RESOURCESMAURITIUS EXAMINATIONS SYNDICATE

NATIONAL ASSESSMENT AT FORM mNAME

SCHOOL NAME

CLASS/SECTIO N

MATHEMATICS

October 2012

1 hour 45 minutesStudents answer on the Question Paper.

Additional Materials: Geometrical Instruments.

READ THESE INSTRUOIONS FIRST

Write your name, the name of your school and your class/section in the spaces provided above.Write in dark blue or black ink.

You may use a soft pencil for any diagram or rough working.Do not use correction fluid.

There are 19 questions in this paper.

Answer all questions.

If working is needed for any question it must be shown in the space below that question.Omission of essential working may result in loss of marks.

Diagrams are not drawn to scale, unless specified otherwise in a particular question or partquestion.

ELECTRONIC CALCULATORS MUST NOT BE USED IN THIS PAPER

The number of marks is given in brackets [ ] at the end of each question or part question.The total number of marksfor this paper is 100.

This document consists of 23 printed pages.

1. Evaluate

(a) -[64,

(b) 24 + (6 - 2).

:,) 4 ,~ .: J

b

(b) Express 4.3 kilograms into grams.

20, 16, 12, 8, ....

2

g~Answer [1]

2. (a) Write down 6.87, correct to one decimal place.

(c) Write down the next term in the sequence.

r6,Answer [1]

b ~I.Answer [1]

L{ 3b0'Answer g [1]

~ .Answer [1]

3. (a) Express the ratio 4 : 12 in its simplest form.

4 ; \2!-.2.. '"2' f,., 2. 1 ~ 3....,•

Answer .:.. .t.. .... 3...... " .... [1]

(b)2

Express - as a percentage.S

'20

Answer ~(~.: % [1]

(e)s . S

Find the value of . -. giving your answer as a fraction in its lowest9 If 3' •• . <

l~ ~~y,-5r ktI

terms.""--

3

Answer 3..I........ [1]

3

4. (a) Simplify

(b)

(ii) x7...!... 3.. x ".~ . ' '1'~),)C

'If .Answer ~...........J [1]

~ ~

Answer Ie...... ..... [1]~ .

Given that C = ( 4 2 )I . 1 3 and 0 = ( 5 1) ." -3 2 .find ~~

C~: c8; ((D(;),21&) @~L'

(IY ~.)Answer .. \.:-:-.~ } [2]

4

.•...0 ~b '::-L·ll

Y 1-'\. ;;. %~

c: ~C/ I;. ....ll.( +.(.~ 1- .

5. Given that p = (-:) and q = (!),

(a) express p + 2q as a column vector,

- (-~) + 2(~)~ln-t (~u!~ l,:,)

( I~)Answer : [2]

(b)

f()Answer [2]

5

6. (a) Given that a = 5 and b = - 3, find the value of 2~ - b.

- .2 lS) - (~'))

(b) Factorise completely 7y~ + 21y ..'

\0

~ .\'3

, ~>

Answer [1]

(c) Expand and simplify (2x - 3 ex + 5).

Answer ... 0j..Ss~..~2.·[1]

-) (?~~).~'

~ ~)C-\5

6

'1--21- --+ 1-?(-IS'

Answer [2]

7. (a) (= {a, b, c, d, e .t, g}.

p = {b,e,f,g} and Q = {c,d,e,f,g}.

List the elements of P'n Q . '

f) .\ f\\ :'lQh.)J

C; c , .:Answer , [2]

(b) In a bag there are 6 red balls, 4 blue balls and 3 yellow balls of the sameshape and size. A ball is drawn at random from the bag.

Giving your answer as a fraction, find the probability that the ball is

(i) yellow,

~ V'\ l 'j~J l..,',,-)

~

s~13>

.i.Answer ..I.~ : [1]

(ii) not blue. e (b(v-{,)~

y----13

:: ;L <1-,~

P (11\ 0 t- \:J l-t.~)': , e-r-

-- I

Answer d. [1]( 3·

7