Primary Mathematics Syllabus 2007

(Calculator is allowed unless otherwise stated)

Fractions

1. Four operations
   • division of a whole number / proper fraction by a proper fraction without using calculators
   • (Denominators of given fractions should not exceed 12, for calculations without using calculators)
   • Exclude:
     • division of an improper fraction / mixed number by a proper fraction
     • division by an improper fraction / mixed number

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Percentage

1. Percentage
   • finding the whole given a part and the percentage
   • finding percentage increase / decrease
   • solving word problems involving percentage
   • Exclude:
     • finding percentage profit / loss

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Ratio

1. Ratio
   • expressing one quantity as a fraction of another, given their ratio, and vice versa
   • finding how many times one quantity is as large as another, given their ratio, and vice versa
   • expressing one quantity as a fraction of another given the two quantities
   • finding the whole / one part when a whole is divided into parts in a given ratio
   • solving word problems involving 2 pairs of ratios

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Speed

1. Speed
   • concepts of speed and average speed
   • relationship between distance, time and speed
     • Distance = Speed × Time
     • Speed = Distance ÷ Time
     • Time = Distance ÷ Speed
   • calculation of speed, distance or time given the other two quantities
   • writing speed in different units such as km/h, m/min, m/s and cm/s
   • solving up to 3-step word problems involving speed and average speed
   • Exclude:
     • conversion of units, e.g. km/h to m/min

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Measurement

1. Area and circumference of circle
   • use of formulae to calculate the area and circumference of a circle circle
   • finding the area and perimeter of
     • semicircle (half circle)
     • quarter circle
   • solving word problems involving area and perimeter
   • Exclude:
     • finding the radius / diameter of a circle given its area or circumference
2. Area and perimeter of composite figure
   • finding the area and perimeter of a figure made up of some of the following shapes: square, rectangle, triangle, semicircle and quarter circle
3. Volume of cube and cuboid
   • finding one dimension of a cuboid given its volume and the other dimensions
   • finding the length of one edge of a cube given its volume
   • finding the height of a cuboid given its volume and base area
   • finding the area of a face of a cuboid given its volume and one dimension
   • use of the symbols and
   • solving word problems involving volume of a cube / cuboid

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Geometry

1. Geometrical figures
   • finding unknown angles in geometrical figures involving square, rectangle, parallelogram, rhombus, trapezium and triangle
2. Nets
   • 2-D representation of prism and pyramid
   • identifying nets of the following solids
     • cube
     • cuboid
     • prism
     • pyramid
   • identifying the solid which can be formed by a given net
   • making 3-D solids from given nets
   • Exclude:
     • nets of cylinder and cone

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Data Analysis

1. Pie charts
   • reading and interpreting pie charts
   • solving 1-step problems using information presented in pie charts
   • Exclude:
     • use of degrees for calculation

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Algebra

1. Algebraic expressions in one variable
   • representation of an unknown number using a letter
   • simple algebraic expressions such as
     • y ± 2,  6 ± y
     • y + y
     • 3y

     • y

       2

     • 3 ± y

       5

   • interpreting
     • 3y   as   y + y + y   or   3 × y

     • y

       2

         as   y ÷ 2   or  

       1

       2

       × y

     • 3 ± y

       5

         as   (3 ± y) ÷ 5   or  

       1

       5

       × (3 ± y)
   • simplification of algebraic expressions
   • evaluation of simple algebraic expressions by substitution
   • solving word problems involving algebraic expressions
   • Exclude:
     • evaluation of expressions involving variable in the denominator such as

       1

       x

     • simplification of expressions involving
       - fractional coefficients
       - brackets

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