Mathematics and Mathematical Literacy - Thutong

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Mathematics(NSC)/Grade11/P1 18 ExemplarQUESTION 8Below is a feasible region for a linear programming problem.1098A7654B321DC1 2 3 4 5 6 7x8.1 Determine the system of inequalities that represent the above feasible region. (6)8.2 Determine the maximum value of P = x + y if P lies in the feasible region. (3)8.3 For what values of k would T = kx + y have a maximum at point B? (3)[12]11 y – End of Paper –Copyright reserved
Mathematics(NSC)/Grade 11/ P2 19 ExemplarGrade 11 Mathematics: Question Paper 2MARKS: 150TIME: 3 hoursQUESTION 11.1 A triangle is drawn with vertices A (0;2) ; B (4;5) and C (4;-4).1.1.1 Find the length of AB. (2)1.1.2 Find the equation of the line through B and C. (1)1.1.3 Find the equation of the line through A and B. (2)1.1.4 Find the inclination of the line through A and B. (2)1.2 What will be the gradient of the line perpendicular to3 x + 2y− 7 = 0 ? (2)1.3Using a calculator find the values of the following if x = 42 and y = 127,8 :1.3.1 sin 3x(1)1.3.2 cos 2 (3x + y)− 2(2)1.4 Simplify:sinsin( 180 + A)( 90 − A) 1.5 Find the solution to 3 tan 2x = 1 on the interval x ∈[0,270 ](4)1.6 Consider the diagram below:(3)P7 cm5 cmR3040T60K1.6.1 Find the length of KT. (3)1.6.2 Find the length of PT. (3)1.7 Draw, on the graph paper on your diagram sheet, a box and whisker diagram fora set of data with the following characteristics:o Median is 17o Upper quartile is 20o Lower quartile is 11o Maximum value is 30o Range is 20(5)Copyright reserved
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