Primary Mathematics Syllabus 2007

(Calculator is allowed unless otherwise stated)

Whole Numbers

1. Numbers up to 10 million
   • reading and writing numbers in numerals and in words
   • rounding off numbers to the nearest 1000
2. Four operations
   • multiplication and division by tens, hundreds and thousands without using calculators
   • solving word problems involving the 4 operations
   • estimation of answers in calculations
   • checking reasonableness of answers
3. Order of operations
   • combined operations involving the 4 operations
   • use of brackets

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Fractions

1. Concept of fraction as division
   • association of a fraction with division
   • conversion between fractions and decimals
2. Four operations
   • addition and subtraction of proper fractions without using calculators
   • addition and subtraction of mixed numbers
   • multiplication of two proper fractions without using calculators
   • multiplication of an improper fraction and a proper/improper fraction
   • multiplication of a mixed number and a whole number
   • division of a proper fraction by a whole number without using calculators
   • solving word problems involving the 4 operations
   • (Denominators of given fractions should not exceed 12, for calculations without using calculators)
   • Exclude:
     • calculations involving more than 2 different denominators
     • multiplication of a mixed number by a proper fraction / improper fraction / mixed number
     • division of an improper fraction / mixed number by a whole number

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Decimals

1. Four operations
   • multiplication and division of decimals (up to 3 decimal places) by tens, hundreds and thousands without using calculators
   • solving word problems involving the 4 operations
   • rounding off answers to a specified degree of accuracy
   • estimation of answers in calculations
   • checking reasonableness of answers
   • Exclude:
     • multiplication and division by a decimal

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Percentage

1. Percentage
   • expressing a part of a whole as a percentage
   • use of the percentage symbol (%)
   • writing fractions and decimals as percentages, and vice versa
   • finding a percentage part of a whole
   • solving up to 2-step word problems involving percentage
   • discount, GST and annual interest
   • Exclude:
     • expressing one quantity as a percentage of another, e.g. “A is 60% of B
     • comparison of two quantities by percentage, e.g. “ A is 20% more than B.”

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Ratio

1. Ratio
   • interpretation of a : b and a : b : c, where a, b and c are whole numbers
   • writing equivalent ratios
   • expressing a ratio in its simplest form
   • finding the ratio of two or three given quantities
   • finding the missing term in a pair of equivalent ratios
   • finding one quantity given the other quantity and their ratio
   • solving up to 2-step word problems involving ratio
   • Exclude:
     • ratios involving fractions and decimals

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Measurement

1. Length, mass and volume
   • conversion of a measurement from a smaller unit to a larger unit in decimal form, and vice versa
     • kilometres and metres
     • metres and centimetres
     • kilograms and grams
     • litres and millilitres
2. Area of triangle
   • identifying the base of a triangle and its corresponding height
   • use of formula to calculate the area of a triangle
   • Exclude:
     • finding the base / height of a triangle given its area
3. Volume of cube and cuboid
   • building solids with unit cubes
   • measurement of volume in cubic units
   • drawing cubes and cuboids on an isometric grid
   • measurement of volume in cubic centimetres (cm³) / cubic metres (m³)
   • use of formula to calculate the volume of a cube / cuboid
   • finding the volume of liquid in a rectangular tank
   • conversion between , ml and cm³
   • solving up to 3-step word problems involving the volume of a cube / cuboid
   • Exclude:
     • conversion between cm³ and m³

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Geometry

1. Angles
   • use of the following properties to find unknown angles
     • angles on a straight line
     • angles at a point
     • vertically opposite angles
   • Triangle
     • identifying and naming the following types of triangles
       • isosceles triangle
       • equilateral triangle
       • right-angled triangle
     • use of the property that the angle sum of a triangle is 180°
     • finding unknown angles
     • drawing a triangle from given dimensions using ruler, protractor and set squares
     • Exclude:
       • geometrical construction where the use of compasses is required
       • finding angles involving additional construction of lines
       • exterior angles
   • Parallelogram, rhombus and trapezium
     • identifying and naming parallelogram, rhombus and trapezium
     • properties of parallelogram, rhombus and trapezium
     • finding unknown angles
     • drawing a square / rectangle / parallelogram / rhombus / trapezium from given dimensions using ruler, protractor and set squares
     • Exclude:
       • the term ‘diagonal’ and its related properties
       • geometrical construction where the use of compasses is required
       • finding angles involving additional construction of lines

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Data Analysis

1. Average of a set of data
   • interpretation of average as "total amount ÷ number of items"
   • calculation of the average number / quantity
   • finding the total amount given the average and the number of items
   • solving word problems involving average

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