18/10/2017
CORE MATHEMATICS
GRADE 11 EXAM CONTENT
November 2017
PAPER 1
3 hours Marks: 150
Algebraic expressions:
Simplification, multiplication, division, addition & subtraction
Complete the square on an expression
Equations and Inequalities:
Solve: linear equations, linear inequalities, simultaneous linear equations
Solve: quadratic equations, quadratic inequalities
Solve simultaneous equations; one quadratic and one linear
Quadratic equations:
Factors
Fractions
Substitution
Squaring
Completing the square
Quadratic formula
Finding an equation from its roots
Solving general (word) problems
Nature of Roots
Exponents and Surds:
Simplify expressions using the laws of exponents
Simplification of surds, including adding, subtracting, multiplying and dividing
with surds; rationalising denominators
Solve exponential equations
Financial Mathematics:
Use simple and compound increase formulae A = P(1 + i.n) ; A = P(1 + i)^n
to solve problems involving interest, hire-purchase, inflation, population growth
Use simple and compound decrease formulae A = P(1 – i.n) ; A = P(1 – i)^n
to solve problems including straight line depreciation and depreciation on a reducing
balance
Use nominal and effective interest rates to solve problems
Working with timelines
Functions:
Revision: grade 10 content
Horizontal shifts
Finding the equation of a function
Distance between graphs
Characteristics and sketching of all graphs
Mixed graph exercises and problem solving
Mathematical modelling
Probability:
Revision: grade 11
Dependent and Independent events
Tree Diagrams
Venn Diagrams
The product rule for independent events
The sum rule for mutually exclusive events
The identity
The complementary rule
Generation of the fundamental counting principle
Apply the fundamental counting principle to solve probability problems
Sequences and Series:
Number sequences, including AP’s, GP’s
General term and sum formulae
Differencing to find formulae esp. Quadratics
Correctly select the formula for and calculate the sum of series
Rock of ages ....building our future leaders,accountants,engineers and scientist.
We believe in exc