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, 

· measurement of volume in cubic centimetres (cm )/ cubic 

metres (m ), 

· use of formula to calculate the volume of a cube/ cuboid, 

· finding the volume of liquid in a rectangular tank, 

· conversion between , ml and cm , 

· solving up to 3-step word problems involving the volume of a 

cube / cuboid. 

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, 

· 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, 

· measurement of volume in cubic centimetres (cm )/ cubic metres 

(m ), 

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/