Topic/Sub-topic Content Learning Outcomes
1 Numbers and Algebra
1.1 Numbers and the four operations Include:
  • primes and prime factorisation
  • finding HCF and LCM, squares, cubes, square roots and cube roots by prime factorisation
  • negative numbers, integers, rational numbers, real numbers and their four operations
  • calculations with the use of a calculator
  • representation and ordering of numbers on the number line
  • use of the symbols <, >, ≤, ≥
  • approximation and estimation (including rounding off numbers to a required number of decimal places or significant figures, estimating the results of computation, and concepts of rounding and truncation errors)
1.2 Ratio, rate and proportion Include:
  • ratios involving rational numbers
  • writing a ratio in its simplest form
  • average rate
  • problems involving ratio and rate
1.3 Percentage Include:
  • expressing one quantity as a percentage of another
  • comparing two quantities by percentage
  • percentages greater than 100%
  • increasing/decreasing a quantity by a given percentage
  • reverse percentages
  • problems involving percentages
1.4 Speed Include:
1.5 Algebraic representation and formulae Include:
  • using letters to represent numbers
  • interpreting notations:
    • ab as a \times b
    • {a \over b} as a \div b
    • a^2 as a \times a , a^3 as a \times a \times a , a^2b as a \times a \times b...
    • 3y as y + y + y or 3 /times y
    • {{3 \pm y} \over 5} as {{(3 \pm y)} \div 5} or {1 \over 5}\times {(3 \pm y)}
  • evaluation of algebraic expressions and formulae
  • translation of simple real-world situations into algebraic expressions
  • recognising and representing number patterns (including finding an algebraic expression for the nth term)
1.6 Algebraic manipulation Include:
  • addition and subtraction of linear algebraic expressions
  • simplification of linear algebraic expressions, e.g.
    • − 2(3x − 5) + 4x
    • {2x \over 3}-{3(x-5) \over 2}
  • factorisation of linear algebraic expressions of the form
    • ax + ay (where a is a constant)
    • ax + bx + kay + kby (where a , b and k are constants)
1.7 Functions and graphs Include:
1.8 Solutions of equations and inequalities Include:
  • solving linear equations in one unknown (including fractional coefficients)
  • solving simple inequality (e.g. 3x \le 5 )
  • solving simple fractional equations that can be reduced to linear equations, e.g.
    • {x \over 3}+{x-2 \over 4}=3
    • {3 \over x-2}=6
  • formulating a linear equation in one unknown to solve problems
2 Geometry and Measurement
2.1 Angles, triangles and polygons Include:
  • right, acute, obtuse and reflex angles, complementary and supplementary angles, vertically opposite angles, adjacent angles on a straight line, adjacent angles at a point, interior and exterior angles
  • angles formed by two parallel lines and a transversal: corresponding angles, alternate angles, interior angles
  • properties of triangles and special quadrilaterals
  • classifying special quadrilaterals on the basis of their properties
  • angle sum of interior and exterior angles of any convex polygon
  • properties of regular pentagon, hexagon, octagon and decagon
  • properties of perpendicular bisectors of line segments and angle bisectors
  • construction of simple geometrical figures from given data (including perpendicular bisectors and angle bisectors) using compasses, ruler, set squares and protractors, where appropriate
2.2 Mensuration Include:
  • area of parallelogram and trapezium
  • problems involving perimeter and area of composite plane figures (including triangle and circle)
  • volume and surface area of cube, cuboid, prism and cylinder
  • conversion between cm2 and m2 , and between cm3 and m3
  • problems involving volume and surface area of composite solids
3 Statistics and Probability
3.1 Data handling Include:
  • data collection methods such as:
    • taking measurements, conducting surveys, classifying data, reading results of observations/outcomes of events
  • construction and interpretation of:
    • tables, bar graphs, pictograms, line graphs, pie charts, histograms
  • purposes and use, advantages and disadvantages of the different forms of statistical representations
  • drawing simple inference from statistical diagrams


  • histograms with unequal intervals.


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Page last modified on January 28, 2009, at 12:00 PM