 # Primary 5 Maths Syllabus (MOE)

 Topics/Sub-topics Content Primary 5 (Calculator is allowed unless otherwise stated.) 1 WHOLE NUMBERS Numbers up to 10  million Include:  · reading and writing numbers in numerals and in words,  · rounding off numbers to the nearest 1000. Four operations Include:  ·   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. Order of operations Include:  · combined operations involving the 4 operations,  · use of brackets. 2 FRACTIONS Concept of fraction  as division Include:  · association of a fraction with division,  · conversion between fractions and decimals. Four operations Include  · * addition and subtraction of proper fractions without using  calculators ,  · * addition and subtraction of mixed numbers,  · multiplication of a proper fractions and a proper/ improper  fraction without using calculators,  · multiplication of an improper fraction and an 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.  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 / proper fraction.  · division by an improper fraction/ mixed number  * (Denominators of given fractions should not exceed 12, for  calculations without using calculators.)

 Topics/Sub-topics Content Primary 5 (Calculator is allowed unless otherwise stated.) 3 DECIMALS Four operations Include:  · 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. 4 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:  · 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 RATIO Ratio Include:  · 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.

 Topics/Sub-topics Content Primary 5 (Calculator is allowed unless otherwise stated.) 6 MEASUREMENT Length, mass and  volume Include:  · 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 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. Volume of cube and  cuboid Include:  · building solids with unit cubes,  · measurement of volume in cubic units,  · drawing cubes and cuboids on an isometric grid,  3  · measurement of volume in cubic centimetres (cm )/ cubic  3  metres (m ),  · use of formula to calculate the volume of a cube/ cuboid,  · finding the volume of liquid in a rectangular tank,  3  · conversion between , ml and cm ,  · solving up to 3-step word problems involving the volume of a  cube / cuboid.  3        3  Exclude conversion between cm and m . 7 GEOMETRY Angles Include use of the following properties to find unknown angles:  ∗ angles on a straight line,  ∗ angles at a point,  ∗ vertically opposite angles.

 Topics/Sub-topics Content Primary 5 (Calculator is allowed unless otherwise stated.) Triangle Include:  · identifying and naming the following types of triangles  ∗ isosceles triangle,  ∗ equilateral triangle,  ∗ right-angled triangle,  o  · 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 Include:  · 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. 8 DATA ANALYSIS Average of a set of  data Include:  · 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.

 Topics/Sub-topics Content Primary 5 Foundation Mathematics (Calculator is allowed unless otherwise stated) 1 Whole Numbers Numbers up to  10 million Include:  · reading and writing numbers in numerals and in words,  · comparing and ordering numbers up to 100 000,  · rounding off numbers to the nearest 10, 100 or 1000. Four operations Include:  · addition and subtraction involving two 3-digit numbers without using  calculators ,  · multiplication and division of a 2-digit number by a 1-digit number  without using calculators ,  · solving up to 3-step word problems involving the 4 operations,  · estimation of answers in calculations,  · checking reasonableness of answers. Mental calculation Include  · addition and subtraction involving a 3-digit number and ones, tens or  hundreds without using calculators,  · multiplication and division within the multiplication tables without  using calculators . Factors and multiples Include:  · determining if a 1-digit number is a factor of a given number,  · listing all factors of a given number up to 100,  · finding the common factors of two given numbers,  · recognising the relationship between factor and multiple,  · determining if a number is a multiple of a given 1-digit number,  · listing the first 12 multiples of a given 1-digit number,  · finding the common multiples of two given numbers up to 12.  Exclude 'highest common factor' (H.C.F.) and 'lowest common multiple’  (L.C.M.). Order of operations Include:  · combined operations involving the 4 operations,  · use of brackets.

 Topics/Sub-topics Content Primary 5 Foundation Mathematics (Calculator is allowed unless otherwise stated) 2 FRACTIONS Concepts of fractions Include:  · fraction of a whole,  · fraction of a set of objects. Equivalent fractions Include:  · recognising and naming equivalent fractions,  · listing the first 8 equivalent fractions of a given fraction,  · writing the equivalent fraction of a fraction given the denominator or  the numerator,  · expressing a fraction in its simplest form,  · comparing fractions with respect to half,  · comparing and ordering unlike fractions.  (Denominators of given fractions should not exceed 12.) Mixed numbers and  improper fractions Include:  · expressing an improper fraction as a mixed number, and vice versa,  · expressing an improper fraction/mixed number in its simplest form.  (Denominators of given fractions should not exceed 12.) Four operations Include:  ·   * addition and subtraction of proper fractions without using  calculators ,  ·   addition and subtraction of mixed numbers,  ·   multiplication of a proper/improper fraction and a whole number  without using calculators ,  ·   multiplication of two proper/improper fractions,  ·   solving up to 2-step word problems involving addition, subtraction  and multiplication,  ·   using unitary method to find the whole given a fractional part.  Exclude:  ·   calculations involving more than 2 different denominators  ·   multiplication involving mixed numbers.  * (Denominators of given fractions should not exceed 12, for calculations  without using calculators)

 Topics/Sub-topics Content Primary 5 Foundation Mathematics (Calculator is allowed unless otherwise stated) 3 DECIMALS Decimals up to 3  decimal places Include:  · notation and place values (tenths, hundredths, thousandths),  · identifying the values of the digits in a decimal,  · use of the number line to display decimals,  · comparing and ordering decimals,  · conversion of a decimal to a fraction,  · conversion of a fraction whose denominator is a factor of 10 or 100 to  a decimal,  · rounding off decimals to  ∗   the nearest whole number,  ∗   1 decimal place,  ∗   2 decimal places. Addition and  subtraction Include:  · addition and subtraction of decimals (up to 2 decimal places) without  using calculators,  · estimation of answers in calculations,  · checking reasonableness of answers,  · solving up to 2-step word problems involving addition and subtraction  ( including problems involving money). 4 MEASUREMENT Length, mass and  volume Include 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 Time Include:  · finding the duration of a time interval,  · 24-hour clock,  · solving up to 3-step word problems involving addition and subtraction  of time given in hours and minutes.

 Topics/Sub-topics Content Primary 5 Foundation Mathematics (Calculator is allowed unless otherwise stated) Area and perimeter Include:  · finding the perimeter of a rectilinear figure,  · finding the area of a figure made up of rectangles and squares,  · finding one dimension of a rectangle given the other dimension and  its area/ perimeter,  · finding the length of one side of a square given its area/ perimeter,  · solving up to 3-step word problems involving the area/ perimeter of  squares and rectangles. Volume of cube and  cuboid Include:  · building solids with unit cubes,  · measurement of volume in cubic units,  · drawing cubes and cuboids on an isometric grid,  3  · measurement of volume in cubic centimetres (cm )/ cubic metres  3  (m ),  3         3  Exclude conversion between cm and m . 5 GEOMETRY Perpendicular and  parallel lines Include:  · identifying and naming perpendicular and parallel lines  · drawing of perpendicular and parallel lines using ruler and set  squares,  · use of the terms ‘vertical’ and ‘horizontal’. Angles Include:  · using notation such as ∠ ABC and ∠ x to name angles,  · estimation and measurement of angles in degrees,  · drawing an angle using a protractor,  · use of the following properties to find unknown angles  * angles on a straight line,  * angles at a point,  * vertically opposite angles.  Exclude:  · drawing and measuring reflex angles,  · use of the notation x ° . 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.

 Topics/Sub-topics Content Primary 5 Foundation Mathematics (Calculator is allowed unless otherwise stated) 6 DATA ANALYSIS Tables,  bar graphs,  line graphs Include:  · reading and interpreting tables, bar graphs and line graphs,  · completing a table/ bar graph from given data,  · solving problems using information presented in tables/ bar graphs/  line graphs. Average of a set of  data Include:  · 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 up to 3-step word problems involving average.

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

 Exam Syllabus Articles on Exam