Mid year exam

Student Name/Number:___________________ Teacher Name:__________________________

2011 MID COURSE EXAMINATION

Preliminary - YEAR 11
Mathematics

Time allowed – Two hours
(Plus 5 minutes reading time)

DIRECTIONS TO CANDIDATES

 Attempt ALL questions.
 ALL questions are of equal value.
 All necessary working should be shown in every question. Marks may be deducted for careless or badly arranged work.
 Board-approved calculators may be used.
 Answer each question in a separate booklet.

QUESTION 1 (12 Marks) Start a new booklet Marks

(a) Express correct to three decimal places. 2

(b) Express as a rational number in simplest form. 2

(c) Given , and = 0.8, R = 1.5, r =, find the value of . 2

(d) Solve ) 2

(e) Simplify 2

(f) Simplify 2
QUESTION 2 (12 Marks) Start a new booklet

Marks

(a) Simplify 2

(b) Factorise:

(i) 1 (ii) 1

(iii) 2

(iv) 2

(v) 2

(c) Express with a rational denominator 2

QUESTION 3 (12 Marks) Start a new booklet Marks

(a) Find and if 2

(b) Solve and graph your answer on a number line 2

(c) Evaluate when and 2 Leave your answer as a fraction.

(d) Write with a positive index. 1

(e) Write in index form. 1

(f) Expand and simplify the following:

(i) 1
(ii) 1
(iii) 1
(iv) 1

QUESTION 4 (12 Marks) Start a new booklet Marks

(a) Solve