WELCOME TO THIS PAGE INTENDED FOR STUDENTS AT THE UNIVERSITY OF THE WESTERN CAPE REGISTERED IN 2010 FOR THE MODULE:
T1 W3 L2
TUTORIAL TEST 1: BASED ON DIAGNOSTIC TEST (NO CALCULATOR)
DECIMAL NUMBER SYSTEM : 1 ; CR : p.71
WHOLE NUMBERS / INTEGERS : 2 4, 9 : pp. 81-82
COMMON FRACTIONS : 5 8: pp.49- 54; pp. 93 100 ; pp. 149 - 155
DECIMAL FRACTIONS : 10 -12 : pp. 100 - 102
PERCENTAGES : 13, 15 16 : pp. 102 106 ; pp. 164 - 166
POWERS : 14 : pp. 131 - 133
ALGEBRA : 17 20 : p.83; pp.110 133; pp. 155 - 163
Elasticity of Demand =
KEY BUSINESS CONCEPTS/TERMS: DEMAND, QUANTITY, PRICE
KEY MATHEMATICAL CONCEPTS/TERMS: EQUATION/FORMULA, NUMBERS, FRACTIONS, DECIMAL FRACTIONS, PERCENTAGE, VARIABLES (ALGEBRA), GRAPHS
NUMBERS -----DECIMAL NUMBERS ALGEBRA ---- VARIABLES
EXPRESSIONS ---- EQUATIONS
FRACTIONS ----DECIMAL FRACTIONS GRAPHS
FIGURE: DIAGRAMMATICAL REPRESENTION SHOWING RELATIONSHIPS BETWEEN BASISC MATHEMATICAL CONCEPTS/TERMS RELEVANT TO ABOVE ELASTICITY FORMULA
CALCULATOR SKILLS !!!!!!!!!!!! PROBLEM 5.8 and 5.9
IN GENERAL, it is harder to formulate a problem, than to solve it.
N.B. This of course depends on the level of the problem.
Eg. SOLVE without calculator:
(a) 19386356 Χ 10983829
or (b) If three men can dig five graves in 2 days, how long will seven men take to dig 50 graves?
5. The word more is often confused. What is the difference between the two statements:
(a) There are b boys and c more girls than boys; and
(b) There are b boys and c girls, where the girls are more than the boys.
6. (a) What is wrong with the following proof of the statement: If n is even, then (-1) =1.
Proof: (-1) = 1, and 4 is even, therefore (-1) =1.
7. State whether the following is true or false:
(a) 60% of 90 = 90% of 60
(b) of y expressed as a fraction of (a+b) = of x expressed as a fraction of (b+a).
8. Refer Section 2.4.1 on p. 77 dealing with sets. Draw a large, clear diagram, picture or any representation which represents the problem. (DO NOT SOLVE!!)
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