Grade 11 Mathematics CAPS term 2 test and memo

� GRADE 11 MATHEMATICS – TERM 2 TEST

TOTAL: 100 MARKS | TIME: 2 HOURS
Name: _________________ Grade 11: ____ Date: ____________



INSTRUCTIONS

1. Answer ALL questions.
2. Show ALL calculations and working steps.
3. You may use a scientific calculator.
4. Round off to 2 decimal places where necessary.



QUESTION 1: ALGEBRA, EQUATIONS & INEQUALITIES (25 MARKS)

Write your answers and working in the spaces provided:

1.1 Simplify fully:
1.1.1 2(x+3)^2 - 3(x-1)(x+2)



_________________________________________________________ (4)

1.1.2 \frac{x^2 - 16}{3x^2 + 10x + 8} \times \frac{2x+4}{x^2 -4x}



_________________________________________________________ (4)

1.2 Solve for x :
1.2.1 x^2 + 3x - 40 = 0
_______________________________________ x = ____ or ____ (3)

1.2.2 3x^2 - 2x - 5 = 0
_______________________________________ x = ____ or ____ (4)

1.2.3 \sqrt{3x - 2} = x
_______________________________________ x = _________ (4)

1.2.4 2x^2 - 5x - 3 > 0
_______________________________________ _______________ (6)



QUESTION 2: FUNCTIONS & GRAPHS (25 MARKS)

Write your answers and working in the spaces provided:

2.1 Given f(x) = -x^2 + 2x + 8 :
2.1.1 Turning point: ( ____ ; ____ ) (2)
2.1.2 x- intercepts: _________ y- intercept: _________ (4)