 # Primary 6 Maths Syllabus (MOE)

Topics/Sub-topics

Content

## Primary 6 (Calculator is allowed unless otherwise stated.)

1 FRACTIONS

Four operations

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 proper

fraction,

· division by an improper fraction/mixed number.

2 PERCENTAGE

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 RATIO

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

Distance, time and

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.

 Topics/Sub-topics Content Primary 6 (Calculator is allowed unless otherwise stated.) 5 MEASUREMENT Area and  circumference of  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 . 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. 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,  3  ·    use of the symbols   and   ,  ·    solving word problems involving volume of a cube/ cuboid. 6 GEOMETRY Geometrical figures Include finding unknown angles in geometrical figures involving  square , rectangle, parallelogram, rhombus, trapezium and triangle. 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.

 Topics/Sub-topics Content Primary 6 (Calculator is allowed unless otherwise stated.) 7 DATA ANALYSIS 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 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  y  2  3 ± y  5  · interpreting  ∗   3y as y + y + y or 3 × y  y           1  ∗      as y ÷ 2 or    × y  2          2  3 ± y                1  ∗        as (3 ± y ) ÷ 5 or  × (3 ± y )  5                5  · 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  1  such as  ,  x  · simplification of expressions involving  ∗   fractional coefficients  ∗   brackets

Topics/Sub-topics

Content

## Primary 6 Foundation Mathematics (Calculator is allowed unless otherwise stated)

1 FRACTIONS

Concept of fraction as

division

Include:

· association of a fraction with division,

· conversion between fractions and decimals.

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.

2 DECIMALS

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.

 Topics/Sub-topics Content Primary 6 Foundation Mathematics (Calculator is allowed unless otherwise stated) 3 PERCENTAGE 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." 4 MEASUREMENT Area of 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. 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. 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 􀁁, ml and cm3, solving up to 3-step word problems involving the volume of a cube/ cuboid.

 Topics/Sub-topics Content Primary 6 Foundation Mathematics (Calculator is allowed unless otherwise stated) 5 GEOMETRY 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. 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. 6 DATA ANALYSIS Pie charts Include: reading and interpreting pie charts, solving 1-step problems using information presented in pie charts. Exclude use of degrees for calculation.

You can also get the full Primary Maths Syllabus (MOE) from the below link: http://www.moe.gov.sg/education/syllabuses/

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