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Aligned to MOE 2025 syllabus

Know exactly what PSLE will test

Browse every topic and learning objective in Mathematics — mapped to the AL band each one differentiates, so you know what to study and what to skip.

Difficulty
Mathematics13 topics · 65 learning objectives
01

Measurement and Geometry

4 topics
Measurement — Length, Mass, Volume6 objectives
FoundationAL6–AL8

Units of measure and conversion

km, m, cm, mm; kg, g; l, ml

M-MG-01-01
StandardAL3–AL5

Perimeter of composite figures

Combined rectilinear shapes

M-MG-01-02
FoundationAL6–AL8

Area of squares, rectangles and triangles

Standard area formulas

M-MG-01-03
StandardAL3–AL5

Area of composite figures

Combining and subtracting areas

M-MG-01-05
StandardAL3–AL5

Volume of cubes and cuboids

l × b × h, finding missing dimension

M-MG-01-06
AdvancedAL1–AL2

Volume of composite 3D shapes

Combining prisms, finding missing dimensions from volume

M-MG-01-07
Geometry — Angles7 objectives
FoundationAL6–AL8

Types of angles (acute, right, obtuse, reflex)

Measuring and drawing angles with protractor

M-MG-02-01
StandardAL3–AL5

Angles on a straight line

Sum of angles = 180°

M-MG-02-02
StandardAL3–AL5

Angles at a point

Sum of angles = 360°

M-MG-02-03
StandardAL3–AL5

Vertically opposite angles

Equal vertically opposite angles

M-MG-02-04
StandardAL3–AL5

Angles in triangles

Interior angles sum = 180°, exterior angles

M-MG-02-05
StandardAL3–AL5

Angles in quadrilaterals

Interior angles sum = 360°

M-MG-02-06
AdvancedAL1–AL2

Finding unknown angles in composite figures

Multi-step angle problems

M-MG-02-07
Geometry — Shapes5 objectives
StandardAL3–AL5

Properties of triangles

Isosceles, equilateral, scalene, right-angled

M-MG-03-01
StandardAL3–AL5

Properties of quadrilaterals

Square, rectangle, rhombus, parallelogram, trapezoid

M-MG-03-02
StandardAL3–AL5

Properties of 3D shapes

Faces, edges, vertices of prisms and pyramids

M-MG-03-04
FoundationAL6–AL8

Symmetry and tessellation

Lines of symmetry, rotational symmetry Officially named 'Line Symmetry' only; 'tessellation' is not official terminology.

M-MG-03-05
StandardAL3–AL5

Nets of 3D shapes

Identify and draw nets of cubes and cuboids

M-MG-03-06
Circles4 objectives
FoundationAL6–AL8

Parts of a circle (radius, diameter, chord, arc)

Identify and name parts

M-MG-04-01
StandardAL3–AL5

Circumference of a circle

C = 2πr = πd, using π = 3.14 or 22/7

M-MG-04-02
StandardAL3–AL5

Area of a circle

A = πr²

M-MG-04-03
AdvancedAL1–AL2

Composite figures involving circles

Quarter circles, semicircles, shaded regions

M-MG-04-04
02

Numbers and Algebra

8 topics
Whole Numbers5 objectives
FoundationAL6–AL8

Place value and numeration (up to 10 million)

Includes reading, writing, comparing whole numbers

M-NA-01-01
StandardAL3–AL5

Order of operations (BODMAS)

Brackets, order of arithmetic operations

M-NA-01-02
StandardAL3–AL5

Factors and multiples

HCF, LCM, common factors and multiples

M-NA-01-03
StandardAL3–AL5

Number patterns

Identify and continue number sequences

M-NA-01-05
AdvancedAL1–AL2

Word problems (4 operations)

Multi-step word problems requiring all four operations

M-NA-01-06
Fractions7 objectives
FoundationAL6–AL8

Concept of fractions and mixed numbers

Proper, improper fractions; converting to/from mixed numbers

M-NA-02-01
FoundationAL6–AL8

Equivalent fractions and simplification

Simplify fractions to lowest terms

M-NA-02-02
StandardAL3–AL5

Adding and subtracting fractions

Unlike denominators, mixed numbers

M-NA-02-03
StandardAL3–AL5

Multiplying fractions

Fraction × fraction, fraction × whole number

M-NA-02-04
StandardAL3–AL5

Dividing fractions

Fraction ÷ whole number and whole number ÷ fraction

M-NA-02-05
StandardAL3–AL5

Fraction of a set

Finding a fraction of a quantity

M-NA-02-06
AdvancedAL1–AL2

Fraction word problems

Multi-step problems combining fraction operations

M-NA-02-07
Decimals5 objectives
FoundationAL6–AL8

Decimal notation (up to 3 decimal places)

Place value, reading and writing decimals

M-NA-03-01
FoundationAL6–AL8

Rounding decimals

Round to nearest whole, 1dp, 2dp

M-NA-03-02
StandardAL3–AL5

Four operations with decimals

Add, subtract, multiply, divide decimals

M-NA-03-03
StandardAL3–AL5

Converting fractions, decimals and percentages

Interconversion between all three forms

M-NA-03-04
AdvancedAL1–AL2

Decimal word problems

Practical contexts including money and measurement

M-NA-03-05
Percentage5 objectives
FoundationAL6–AL8

Expressing fractions and decimals as percentages

Convert between forms

M-NA-04-01
StandardAL3–AL5

Percentage of a quantity

Finding x% of a given amount

M-NA-04-02
StandardAL3–AL5

Percentage increase and decrease

New value after % change

M-NA-04-03
StandardAL3–AL5

Discount, GST and profit/loss

Applied percentage in commerce context

M-NA-04-04
AdvancedAL1–AL2

Multi-step percentage word problems

Complex problem sums combining % with other topics

M-NA-04-05
Ratio5 objectives
FoundationAL6–AL8

Writing and simplifying ratios

Express as ratio in simplest form

M-NA-05-01
FoundationAL6–AL8

Equivalent ratios

Scale ratios up or down

M-NA-05-02
StandardAL3–AL5

Ratio of 3 quantities

Three-part ratios and their relationships

M-NA-05-03
StandardAL3–AL5

Relationship between fraction and ratio

Convert between ratio and fraction notation

M-NA-05-04
AdvancedAL1–AL2

Ratio and proportion word problems

Sharing, combining and comparison using ratios

M-NA-05-05
Algebra5 objectives
FoundationAL6–AL8

Using letters to represent unknowns

Introduction to algebraic notation

M-NA-06-01
StandardAL3–AL5

Algebraic expressions (simplifying)

Collecting like terms; excludes expansion of algebraic terms involving parentheses.

M-NA-06-02
StandardAL3–AL5

Substitution

Evaluate expressions given variable values

M-NA-06-03
StandardAL3–AL5

Solving linear equations

One-step and two-step linear equations Official scope: whole number coefficients only.

M-NA-06-04
AdvancedAL1–AL2

Algebraic word problems

Formulate and solve equations from word problems

M-NA-06-05
Average4 objectives
FoundationAL6–AL8

Finding the average (mean)

Sum ÷ number of items

M-NA-07-01
StandardAL3–AL5

Finding total given average and count

Reverse average calculation

M-NA-07-02
StandardAL3–AL5

Finding number of items given total and average

Divide total by average

M-NA-07-03
AdvancedAL1–AL2

Multi-step average word problems

Combining sets, changing averages

M-NA-07-04
Rate2 objectives
FoundationAL6–AL8

Concept of rate

Units per time, cost per unit etc.

M-NA-08-01
StandardAL3–AL5

Solving rate word problems

Practical problems using rate relationships

M-NA-08-02
03

Statistics

1 topic
Data Analysis5 objectives
FoundationAL6–AL8

Reading and interpreting tables

Extract data from tables

M-ST-01-01
FoundationAL6–AL8

Bar graphs and line graphs

Construct and interpret graphs

M-ST-01-02
StandardAL3–AL5

Pie charts

Read pie charts, calculate angles/percentages

M-ST-01-03
StandardAL3–AL5

Average from data sets

Calculate mean from tabulated data

M-ST-01-04
AdvancedAL1–AL2

Interpreting and solving data problems

Multi-step problems from graphs and tables

M-ST-01-05

Independently developed. Not affiliated with, endorsed by, or associated with MOE Singapore or SEAB. Refer to official SEAB syllabus documents for authoritative requirements.