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

W6 L1

TEST DATES

·       TUTORIAL TEST 3  NEXT WEEK (11 MARCH)

·       NEXT WEEK RE-TEST (FOR CLASS TEST 2 ONLY)

SIXTEEN PEOPLE PAY A TOTAL OF R4912.80 for A WEEKEND OUTING.

If TWO of THEM pay 10% LESS THAN THE REST, WHAT DID EACH ONE HAVE TO PAY?

FOURTEEN PAY  x rand and TWO PAY …………………

THEREFORE,                 15.8x = 4912.80

                                                      x =

WHY NOT :   4912.80 divided by 16 etc?

FRACTIONS

IMPORTANT:

COURSE READER :

 STUDY  pp.  49-54;  pp.  93-105;  pp. 149-155
 

1. Ntando is planning a journey of 540 km by car.  He wants to know how much money he will need for petrol. He knows that petrol consumption depends on the speed he drives. At a speed of 120 km/h the 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. Three-fifths of the journey will be on highways,  of the journey will be in built-up areas where he is only allowed to travel 60 km/h, and the rest will be along roads where he can do 90 km/h. How much money should he have available for petrol, if petrol is R2,10 per litre.

DIAGRAM:

                                            540  km
 

90 km/h

                                120 km/h
 

                                                                                60 km/h
 

KEY TERMS:

RATE:  - PETROL CONSUMPTION:      120 km/h: 9 km/l

                                                                              90 km/h: 10km/l

                                                                              60 km/h: 12km/

            - PRICE PER LITRE

HOW MANY LITRES?( QUANTITY OF PETROL)

PRICE:  NUMBER OF LITRES ×  PRICE / litre

ANSWERS

1.          On High Ways: ;  Therefore,  uses   =  36 litres;

At 60 km/h:    ; Therefore, uses  = 7,5 litres

At 90 km/h:   Rest = 540 – 324 – 90  = 126 km.;  Therefore, uses   = 12,6 litres

                    Cost of (36 + 7,5 + 12,6)l of petrol = R2.10 x 56,1                                                                                               = R117,81       

2. If  tiles across the length of a room and  tiles fit across the width of the room, how many tiles do you need altogether to tile the floor? Draw a rough sketch of this floor to make sure that your answer is correct.

   (b)* Zinzi and Saartjie undertake a bicycle trip. Zinzi covers the trip in  hours while Saarjie manages to cover the same distance in  minutes.  Who took longer? Express in minutes and seconds the difference between their cycling times.

THERE EXISTS ORDER IN OUR DECIMAL NUMBER SYSTEM

• NOTATON
• GROUPING IN 10’s
• PLACE VALUE
• PLACE HOLDER

WHAT IS THE PLACE VALUE OF THE DIGITS IN :

5 321 452 , 109 860 9

Tenths =

NOTE:

INTEGERS:                                          …; -3;-2;-1;0;+1;+2;+3:…

PLACE VALUES:       1 000;  100; 10;  1;  1/10;  1/100; 1/1000

POWERS:                                  ;   ;    ;    ;    ;   ;                    

DO THE FOLLOWING EXERCISE

• WITHOUT
• WITH CALCULATOR

DO THE SAME WITH:

1. MONEY 

·        COMMA SEPARATES RAND AND CENTS

·        100 cents to a rand.

·        ROUNDING OFF TO NEAREST 1c

·        ROUNDING DOWN:  p .12

2. DECIMAL FRACTIONS:

            ROUNDING OFF: p. 125  APPROX AND ESTIMATION

• Number of SIGNIFICANT FIGURES
• Number of dec. places.

WEIGHTING

Tests and Examinations:

                                  Term Tests(2):             20%   10% + 10%

                                  Semester Test(1):        50%

Tutorial Tests(6):                                           10% 

Class Tests (4):                                             10%

Gateway Tests(4):                                          8%                                             

Attendance of Tutorials:                                2%        

                                   TOTAL                   100%

NB  1 TERM TEST = ALL  TUT (CLASS) TESTS > ALL GW TEST

·       CLASS TEST 2 : REVISION

1.1       Evaluate the following without calculator:

(a)        ()                                 (b)        (0,0001)

(c)        (-1)                                     (d)        (–5)³ – (–15) 

1.2 Calculate    correct to 2 decimal places.

1.3  Simplify the following without calculator:

(a)        10,5 7 × 3 -  5,2 × 2 + 13,04                                   

(b)         -  0,3 × 0,03       

(c)        –3,5 + (

1.4 What is the perimeter of a room 10,52  metres long and  6 metres wide?            

QUESTION 2                                                                                                               

                                                                                                                                                    3m

QUESTION 3

It took Mzondré  6 hours to complete a journey by car.  One-twelfth of the time was spent resting and re-fueling.  1  hours were used for repairing a puncture at the garage and for a general check-up.  What time, in minutes, was spent on the actual on-road driving of the car for the completed distance?

QUESTION  4                                                                                                                 

Four pieces of wood are 2,05 metres, 178 centimeters, 2,19 metres and 1 946 millimeters in length.  62% of the length of a fifth piece equals 2,35 metres.  What length in metres of wood is there altogether?

QUESTION 5

The rectangular kitchen floor needs new tiles.  There are 24 rows of 36 tiles each on the existing floor.  The tiles are 0,24m by 0,24m.

(a)    Calculate the length and breadth of the kitchen floor.

(b)   The new tiles are  times longer than the old tiles. How many new tiles are needed to cover the kitchen floor?

(c)    What is the percentage decrease in the number of new tiles as compared to the old ones?

(d)   The new tiles are normally sold at R88,50 per square metre. However, if you could obtain a discount of 15%, how much would the tiles cost in total?           

QUESTION 6 (IMPORTANT)

Anne earned R75,85 per day. She then received a wage increase of 6,5%.  She thereafter worked from 4 January 2006 until and including 11 February 2006, except on the Sundays which fell in this period since she also received an incentive of 7,5% on all sales.  If she sold goods totaling R25 172,16  during that period, what did she earn for the period?  (1 January 2006 was on a Sunday.)

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