School of Technology & Mathematics

Department of Mathematics

CORE MATHEMATICS TEST 4 [37 Marks] Answer all questions and show necessary working.

Please Write both your name and ID number on your answer sheets

1. Using either Pythagoras theorem or an appropriate trigonometric ratio, answer each of the following questions:

[2+2+3+3 mrks]

2. (a) Evaluate +

[3 mrks] (b) Given that and , find the value of 2A 3B [3 mrks]

(c) Evaluate the following products:

(i) (ii) [4+4 mrks]

3. Using the Graph Sheet A above, solve simultaneously: and

[4 mrks]

4. (a) Complete the following table for the quadratic equation : [4 mrks]

x23456

y1

(b) Using Graph Sheet B above, draw the graph of

[3 mrks](c) State whether the graph has a maximum or minimum value and write down this value[1 mrk]

(d) State the coordinates of the turning point of the curve[1 mrk]

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