Syllabus focus for Final Exam 2010-11
Number theory:
· Rational & Irrational numbers, Real numbers
· Cubes and cube roots of numbers.
· Make estimates of numbers, quantities and lengths, give approximations to specific significant figures.
· Percentages
· Limits of accuracy
· Indices
· Surds
· Simple Interest
· Compound Interest: To find compound interest when interest is compounded annually, half yearly, quarterly.
Mensuration:
Algebra
· Continue a given number sequence; recognize patterns in sequences generalize to simple algebraic statements (including expressions for the nth term) relating to such sequences.
· Fundamental concepts and operations of algebra (excluding division), polynomials, Basic Identities, Substitution, Simplification and Expansion of algebraic expressions, linear equations, application of linear equations.
Factorization
Simultaneous equations
· Substitution method
· Elimination method
· Application of Simultaneous equations
Quadratic equations
· Simple quadratic equations
· Application of quadratic equations.
Pythagoras theorem
Coordinate Geometry
Properties of circle
Trigonometry
Statistics
· Mean of grouped data
· Finding the median class and modal class of grouped data
Probability
·Calculate the probability of single event as fraction or decimal.
·Calculate the probability of simple combined events
· Rational & Irrational numbers, Real numbers
· Cubes and cube roots of numbers.
· Make estimates of numbers, quantities and lengths, give approximations to specific significant figures.
· Percentages
· Limits of accuracy
· Indices
· Surds
· Simple Interest
· Compound Interest: To find compound interest when interest is compounded annually, half yearly, quarterly.
Mensuration:
- Carry out calculations involving the area of a trapezium, the volume of a cuboid, prism and cylinder and the surface areaof a cube, cuboid and a cylinder
Algebra
· Continue a given number sequence; recognize patterns in sequences generalize to simple algebraic statements (including expressions for the nth term) relating to such sequences.
· Fundamental concepts and operations of algebra (excluding division), polynomials, Basic Identities, Substitution, Simplification and Expansion of algebraic expressions, linear equations, application of linear equations.
Factorization
- Grouping the terms
- Splitting the middle term.
- Using algebraic identities
Simultaneous equations
· Substitution method
· Elimination method
· Application of Simultaneous equations
Quadratic equations
· Simple quadratic equations
· Application of quadratic equations.
Pythagoras theorem
- Finding the unknown side of a right angled triangle
- Converse of Pythagoras theorem
- Pythagorean triples
- Application sums
- Use Pythagoras theorem to solve three dimensional geometric problems
Coordinate Geometry
- Interpret and obtain the equation of a straight line
- Determine the equation of a straight line parallel/perpendicular to a given line.
- Calculate the gradient of a straight line from the co-ordinates of two points on it
- Calculate the length and the co-ordinates of the midpoint of a straight line segment from the coordinates of its end points.
Properties of circle
- Angle properties of circles
- Angles in opposite segments of circles
- Tangents
- Tangent from an external point
Trigonometry
- Trigonometrical ratios
- Practical applications of trigonometry.
Statistics
· Mean of grouped data
· Finding the median class and modal class of grouped data
Probability
·Calculate the probability of single event as fraction or decimal.
·Calculate the probability of simple combined events
