Using a tree diagram or otherwise determine the probability that a a Student

# Using a tree diagram or otherwise determine the

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Using a tree diagram or otherwise, determine the probability that a a. Student chosen at random from the class is left handed. (5 marks) b. Test tube is broken in any session. (5 marks) 12

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22. By using a ruler and a pair of compasses only, construct a triangle ABC, such that AB = 8cm, angle ABC = 75 0 and BC = 7cm. Measure AC. P is a point such that the area of triangle APC = area of triangle ABC. Angle APB is 45 0 and P is on the same side of AB as c. Mark P 1 and P 2 , the two possible positions of P. (10 marks) 13
23. In a parallelogram. OABC, OA=a and OC=c. M and N are points on AB and CB respectively such that AM:MB = 3 : 1 and CN : NB = 3: 2. AN and OM intersect at P a. Express ON, OM and AN in terms of a and c . b. If OP = hOM and AP = kAN, find two expressions for OP in terms of a and c . Hence find the ratios in which P divides AN and P divides OM. (10 marks) 14

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24. In the figure below, TA is a tangent to the circle ABCD with center O. Given that ATB = 260. TAD = 480and BOD = 1160, calculate , giving reasons:T260 D B C (a)ACD(b)ABO(c)ADO(d)ACB(10 marks) 15
• Fall '18
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