# Grade 11 Mathematics 2020 Paper 1

## Question 9

9.1 Two events A and B are such that: P(not A) = 0,45 P(B) = 0,3 P(A or B) = 0,685 Are events A and B independent? Justify your answer 9.2 A survey was done among a group of 75 learners to determine which sports theywatch on television. They chose from athletics (A), netball (N) … Read more

## Question 8

8.1 Calculate the effective interest rate per annum if an investment earns 9,5% interest perannum, compounded monthly. (3) 8.2 The value of a house increased to R764 050,60 over a period of 5 years due to inflation.The price of the house increased at a rate of 5% p.a. compounded annually.Calculate the original price of the … Read more

## Question 7

7.1.1 Write down the equation of asymptote of g. (1) 7.1.2 Write down the range of g. (1) 7.1.3 Determine the coordinates of the x and y-intercepts of g. (3) 7.1.4 Hence, write down the values of x for which g(x) < 0. (1) 7.2 Draw a neat sketch of the graph of h(x) = … Read more

## Question 5

Given: f(x) = -x2 + 6x + 7 5.1 Determine the coordinates of the turning point of f. (3) 5.2 Determine the x-intercepts of f. (2) 5.3 Draw a neat sketch of f, clearly indicating all intercepts with the axes and the turningpoint. (4) 5.4 Write down the equation of the axis of symmetry of … Read more

## Question 4

Given the quadratic pattern: -12; -8;0;12;… 4.1 Determine the next two terms of the pattern. (2) 4.2 Determine Tn , the general term of the pattern, in the form Tn = an2 + bn + c. (4) 4.3 Between which two consecutive terms does the first difference of 192 lie? (3) 4.4 A new pattern, … Read more

## Question 3

3.1 Given the linear pattern: 9 ; 5 ; 1; … ; −143. 3.1.1 Determine the formula for the nth term of the pattern. (2) 3.1.2 Calculate the value of T7 . (2) 3.1.3 Determine the number of terms in the pattern. (2) 3.2 Given that, in a linear number pattern, the 16th term is … Read more

## Question 1

1.1 Solve for x: 1.2 Simplify the following, without using a calculator: 1.3 Solve for x and y simultaneously: 1.4 The diagram below shows an oval piece of land that Eli acquired for his poultryproject. He decides to use the biggest possible rectangular piece of land out of theentire piece. The rectangular piece will have … Read more