# Singapore Mathematics - Primary 6 Foundation Mathematics

Topic/Sub-topic Content Learning Outcomes
1 Whole numbers
2 Fractions
2.1 Concepts of fraction as division Include:
• association of a fraction with division,
• conversion between fractions and decimals.
2.2 Division Include:
• division of a whole number/proper fraction by a whole number/proper fraction,
• solving up to 3-step word problems involving the 4 operations.
Exclude:
• division of an improper fraction/mixed number by a whole number/proper fraction,
• division by an improper fraction/mixed number.
3 Decimals
3.1 Multiplication and division   Include:
• multiplication and division of decimals (up to 2 decimal places) by a 1-digit whole number without using calculators,
• division of a whole number by a whole number with answer in decimal form,
• solving up to 3-step word problems involving the 4 operations (including problems involving money),
• rounding off answers to a specified degree of accuracy,
• estimation of answers in calculations,
Exclude:
• multiplication and division by a decimal
4 Percentages
4.1 Percentage   Include:
• 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:
• finding percentage profit/loss,
• finding percentage increase/ decrease,
• 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.”
5 Ratios
6 Measurement
6.1 Area of a triangle Include:
• 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.
6.2 Area and perimeter of composite figure Include:

finding the area and perimeter of a figure made up of some of the following shapes: square, rectangle and triangle.

6.3 Volume of cube and cuboid Include:
• use of formula to calculate the volume of a cube/ cuboid,
• finding the volume of liquid in a rectangular tank,
• conversion between l, ml and cm^3 ,
• solving up to 3-step word problems involving the volume of a cube/ cuboid.
7 Geometry
7.1 Triangle Include:
• 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 180o,
• drawing a triangle from given dimensions using ruler, protractor and set squares
Exclude:
• geometrical construction where the use of compasses is required,
• exterior angles.
7.2 Angles in geometric figures Include:
• finding unknown angles in geometrical figures using the properties of:
• angles on a straight line,
• angles at a point,
• vertically opposite angles,
• a square, a rectangle and a triangle.
Exclude:
• properties related to diagonals of square and rectangle,
• finding angles involving additional construction of lines
7.3 Rectangle and square Include:
• properties of rectangle and square,
• drawing a rectangle/square from given dimensions using ruler, protractor and set squares
Exclude:
• the term ‘diagonal’ and its related properties,
8 DATA ANALYSIS
8.1 Pie charts Include:
• reading and interpreting pie charts,
• solving 1-step problems using information presented in pie charts.
Exclude:
• use of degrees for calculation.
Source: http://www.moe.gov.sg/education/syllabuses/sciences/files/maths-primary-2007.pdf