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2.2.1 How much will it cost for a five day cruise? 2.2.2 If a trip costs R900, how many days did the trip last? Question 3


3.1 Factorise and simplify the following: 3.1.1 36 x 4 − 1 _______


6 x 2 + 1


3.1.2 a 2 − ab ______


3.1.3 2x


a + b 2 − ab ______


b


____ x + 5 × x 2 − 25


3.1.4 2a + 3c _______


_______ 4 x 2 − 6x


2a + 10b ÷ 4 a 2 − 9 c 2 ________


a 2 − 25 b 2


3.2 Solve for x: 3.2.1 6(13 − x) + 2x(x − 13) = 0 3.2.2 8x2 − 1 = 24 − x2 3.2.3 12(2 − x) = 2x − x2


Question 4 4.1 Construct an angle of 30° without using a protractor.


4.2 Construct triangle KLM with KL = 6,4 cm, ˆ and LM = 5,29 cm.


L = 90°, (3)


4.3 Prove, by means of congruency, that the diagonals of a rhombus bisect the angles.


4.4 Find all the missing angles in the following (with reasons): F


A C E 29° G H


4.5 Find the angles for the variables in the following diagram. Be sure to give a reason for each answer.


B 17° D F d (5) B D


(3) (4)


(2) (2) (3) (3)


(2) (2) (3)


[17] (2)


(1)


(3) [9]


A


a


b c C


24°


69°


E Term 4: December Exemplar Examination


[17] 453


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