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WELCOME TO THIS PAGE INTENDED FOR STUDENTS AT THE UNIVERSITY OF THE WESTERN CAPE REGISTERED  FOR THE MODULE QSF 131:

 TERM TEST 1                                         11 September 2009

TOTAL: 65                                                                                      DURATION: 2 hours

Note:

1.   Calculators must NOT  be used in Question 3.  SHOW YOUR WORKINGS.             However, you may retain your calculator throughout this examination.

2        Ensure that your name and student number appear on your answer sheet.

3.   Space is provided after each question on this question paper for you to do all your             calculations and to give your answers.

4.   Hand in this question paper which consists of 6 pages divided into 12 questions.

5    Answer ALL questions.

6.   Except where indicated otherwise, and only where required, give your answers     correct to 2 decimal places.

QUESTION 1 (7 marks)  

A taxi-fleet owner of a number of similar 1600 cc four-door sedans, charges the following weekly rates for transport services:

·        R12 for every kilometer traveled; and

·        R20 basic fee per half an hour of traveling.

·        In addition to the above, the charge for waiting is R48 per hour.  Over weekends his fee is 25% more than his weekly rate.

1.1 Calculate his gross income for a 5-day week, if his fleet carried passengers a total of 2450 kilometers in 500 hours. The total waiting time during that week was 36 hours.

1.2 If petrol cost him R7.45 per liter, which allows him to travel 8 km on the average, how much petrol did he use during the week when he covered 2450 kilometers;

1.3 How much is his gross income for a weekend during which he conveyed passengers over 1450 km in 240 hours with a waiting time of 24 hours?

1.4 If his weekly fleet maintenance bill amounts to R2000, and the wages of the drivers total R 10 000, calculate his loss/profit for the week, using your answers in 1.1 and 1.2 above for the owner’s gross income and petrol costs.

QUESTION 2 (4 marks) 

Starting from the 80^th floor, a fireman climbs down ALL the stairs to the first floor of a skyscraper in New York. He climbs down from the 80^th floor to the 79^th in 8 seconds. If the average time taken to climb down the floor, becomes  of a second more each time, calculate the total time in hours taken to climb down the 80 floors. 

QUESTION 3 (15 marks) (DO NOT USE YOUR CALCULATOR HERE)

Calculate without calculator

3.1       0.7 – 0.7 ÷ (0.6  – 0.03) × 2.5             3.2        –1 + (

3.3                                  3.4      

3.5      

 QUESTION 4 (3 marks)

Use your calculator to simplify (if necessary correct to 3 decimal places):

            (1.607– 0.607 +  )²

QUESTION 5 (5 marks)                                                                                                       

During the World Athletics Championship competition  held in Berlin, Germany, on Sunday 16 August 2009, the Jamaican sprinter Usain Bolt ran the 100 metres in 9.58 seconds to clinch the gold medal for this event. A year ago, Bolt ran the same distance a year ago in the world previous record time of 9.69 seconds.

5.1       Calculate his speed in km/h over the 100m distance on 16 August 2009, as well as a year ago.                                                                                                         (3)

5.2       What is the percentage decrease in the two record times over the distance?(1)

5.3       What is the percentage increase in his speed over this distance when he set the two world records?                                                                                       (1)                                                                                                                                                                                                                               

QUESTION 6 (3 marks)

 A special type of engine oil treatment is sold for R119 for 350 ml at a particular store. The same store also sells a

500 ml container of the same thing for R149. Which is the better buy?

QUESTION 7 (5 marks)

 Mzondré intends to undertake a journey of 1 240 km by car.  She wants to know how much money she will need for petrol. She knows that her petrol consumption will be related to the speed at which she drives. At a speed of 120 km/h her car uses 1 litre every 9 km and at 60 km/h the 1 litre for every 12 km. At a speed of 90 km/h the car uses 1 litre every  10 km. Seven-eighths of the journey will be on highways,  of the journey will be in built-up areas where she is only allowed to travel 60 km/h, and the remainder will be along roads where she can do 90 km/h. How much money should she have available for petrol, if petrol costs R10.07 per litre?

 QUESTION 8  (4 marks)

There are 171 female students in a class of QSF students, of which 78 travel to university by train. 

 8.2  What percentage of female QSF students travel to university by train?     (1)

 8.1  Determine the number of male QSF students, if 43% of the total number of QSF   students are males.                                                                                                      (3)

 QUESTION 9 ( 9 marks)

9.1       Simplify:           –11xy – 5y(x –3y)  + 4(xy –7y²)                                              (1)

9.2       If :        A = 3– 4b + 5c;  B =  7a – 4c  and    C = -c + 2b -  4a  calculate: 

                                    (A+B)(A-B)                                (3)                                                                               

9.3       Subtract    –2(4x – 5y)²  from   9y(x – 6y)                                                       (2)

9.4       Find the product:

  (1)          (2x +5y – 6z)( 3x – 5y + 6z)                                                            (2)

                                                                                                  (1)                                                                                                                   

 QUESTION 10 (4 marks)

Describe how the totals in column B relate to that in column A:

Description of pattern:……………………………………………………………….

Hence write down the values of (a) and (b).                                                                  (4)

 QUESTION 11 (2 marks)

For which value(s) of T (the ‘tens’ digit) would the total bursary fund allocation of

R9T 058.36 be exactly and equally divisible amongst eleven students.                                                                                                                                                                            (2)

QUESTION 12 (4 marks)

A column of liquid in a thermometer is 34.5 mm long at a temperature of 28°, and 40.5 mm long at a temperature of 40°. 

12.1 How long will the column be at 18°?

12.2 At what temperature will the column be 30 mm long?

                                                                                                                     (4)

                                                                                                            TOTAL:         65

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