# Singapore Mathematics - Primary 6

Topic/Sub-topic Content Learning Outcomes
1 Fractions
1.1 Four operations Include:
• Include division of a whole number/proper fraction by a proper fraction without using calculators
Exclude:
• division of an improper fraction/mixed number by a whole number/proper fraction,
• division by an improper fraction/mixed number.
2 Percentages
2.1 Percentage   Include:
• finding the whole given a part and the percentage,
• finding percentage increase/decrease,
• solving word problems involving percentage.
Exclude:
• finding percentage profit/loss,
3 Ratios
3.1 Ratio   Include:
• 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.
4 Speed
4.1 Speed   Include:
• 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
5 Measurement
5.1 Area and circumference of a circle Include:
• use of formulae to calculate the area and circumference of a 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.
5.2 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, triangle, semicircle and quarter circle

5.3 Volume of cube and cuboid Include:
• 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 \sqrt{} 3\sqrt{}
• solving word problems involving volume of a cube/ cuboid.
6 Geometry
6.1 Geometrical figures Include:
• finding unknown angles in geometrical figures involving square, rectangle, parallelogram, rhombus, trapezium and triangle
6.2 Nets Include:
• 2-D representation of cube, cuboid, cone, cylinder, 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
7 DATA ANALYSIS
7.1 Pie charts Include:
• reading and interpreting pie charts,
• solving 1-step problems using information presented in pie charts.
Exclude:
• use of degrees for calculation.
8 Algebra
8.1 Algebraic expressions in one variable Include:
• representation of an unknown number using a letter,
• simple algebraic expressions such as
• y ± 2, 6 ± y , y + y, 3y
• \frac{y}{2} , \frac{3 \pm 5}{y}
• interpreting
• 3y as y + y + y or 3 × y
• \frac{y}{2} as y ÷ 2 or \frac{1}{2} \times y
• \frac{3 \pm 5}{y} as (3 ± y) ÷ 5 or \frac{1}{5}\times (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 , 1x.
Source: http://www.moe.gov.sg/education/syllabuses/sciences/files/maths-primary-2007.pdf