Mathematics and Mathematical Literacy - Thutong

Mathematics(NSC)/Grade 12/ P1 28 ExemplarGrade 12 Mathematics: Question Paper 1MARKS: 150TIME: 3 hoursQUESTION 11.1 Solve for x:1.1.1 log 3x = 2(1)1.1.2log 2710 = x(1)2x 1 2 −11.1.3 3− x= 27(2)1.2 Determine the value of the following expression: ∑ 2i1.3nThe sum of n terms is given by S n = (1 + n)find T 5 .21.4 Determine the 7 th 3 9 27term of the following sequence: 64 ; ; ; 32 16 87i = 3(2)(3)(3)1.5 If inflation is expected to be 8.7% per annum for the next 10 years. During whichyear will prices be double what they are today? (3)1.63 2Given that f(1) = 0; solve for f ( x)= x − x − 4x− 4(4)1.71Given : f ( x)= x − 51.7.1 Determine the equation of the vertical asymptote of f(x) (1)1.7.2 Determine the y-intercept of f(x) (1)1.7.3 Determine x if f(x) = -1 (2)1.7.4 Determine the equation of one of the axes of symmetry of f(x). (2)−1.8 The inverse of a function is f 1 ( x)= 2x− 4 , what is the function f(x)?(3)1.9 Which of the following functions does no increase over the interval (0;10)?x10A) y = log x B) y = 10C) y =x(2)1.10 Determine a function f(x) such that2′( x)3x(2)f =1.11 A car travelled for 1 hour. The average speed for the first 15 minutes was 60km/h and for the remaining 45 minutes the average speed was 80km/h. How fardid the car travel? (3)[35]Copyright reserved