PGA | Singapore Math Global Finals

What is SMGF

SMGF is the Global Final exam of SMC.

SMC is where we share the best practices in mathematics learning and where students gauge how good they are at mathematics.

Use of calculator

NZ Year 2-5: Calculator is NOT allowed
NZ Year 6-12: Calculator is allowed

Format of the Test

Format: Online at home

Duration: 90 minutes (1.5 hours)
Total Score: 100 points

PGA reserves the right to interpret all competition and course arrangements.

Syllabus for SINGAPORE Math Global Finals

GRADE 1 (NZ Y2)

• Numbers up to 100

• Addition & Subtraction within 100

• Division within 20

• Heuristics Skills

• Length

• Money

• Multiplication within 40

• Numbers to 100

• Ordinal Numbers

• Picture Graphs

GRADE 2 (NZ Y3)

• Numbers up to 1000
• Addition & Subtraction within 1000
• Fractions
• Heuristics Skills
• Length
• Mass
• Volume
• Money
• Division within Multiplication tables of 2,3,4,5,10
• Multiplication tables of 2,3,4,5,10
• Picture Graphs with Scales
• Time
• 2D & 3D Shapes

GRADE 3 (NZ Y4)

• Addition and Subtraction within

10 000
• Multiplication tables of 2 to 10
• Division Within Multiplication tables of 2 to 10
• Area and Perimeter of Squares and Rectangles
• Equivalent Fractions
• Addition and Subtraction of Fractions
• Heuristics Skills
• Length
• Mass
• Money
• Numbers to 10 000
• Tables and Graphs
• Time
• Volume

GRADE 4 (NZ Y5)

• 4 Operations of Whole Numbers
• Angles
• Area and Perimeter of Squares and Rectangles
• 4 Operations of Decimals
• Factors and Multiples
• Addition and Subtraction of Fractions
• Mixed Numbers and Improper Fractions
• Fractions of a set
• Heuristics Skills
• Length
• Mass
• Money
• Numbers to 100 000
• Properties of Squares and Rectangles
• Time
• Tables and Line Graphs

GRADE 5 (NZ Y6)

• 4 Operations of Decimals
• 4 Operations of Whole Numbers
• Angles
• Area of Triangles
• Area and Perimeter of Squares and Rectangles
• Average
• Fractions of a set
• 4 Operations of Fractions
• Tables and Line Graphs
• Heuristics Skills
• Mass
• Percentage
• Rate
• Ratio
• Properties of Triangles
• Properties of Parallelograms and Trapeziums
• Volume of Cube and Cuboid

GRADE 6 (NZ Y7)

• Operations of Whole Numbers
• 4 Operations of Fractions
• 4 Operations of Decimals
• Percentage
• Volume
• Algebra
• Angles
• Area
• Area and Circumference of Circles
• Area and Perimeter of Squares and Rectangles
• Area of Triangles
• Average
• Heuristics Skills
• Length
• Percentage
• Properties of Quadrilaterals
• Properties of Triangles
• Rate
• Ratio
• Volume
• Volume of Cube and Cuboid
• Tables and Line Graphs

GRADE 7 (NZ Y8)

• Addition and Subtraction of Linear Expressions
• Algebra and Algebraic Manipulation
• Algebraic Fractions
• Angles, Triangles, Quadrilaterals and Polygons
• Approximation and Estimation
• Area and Perimeter of Plane Figures
• Inequalities
• Linear Equations
• Linear Functions and Graphs
• Percentage
• Primes, Highest Common Factors, Lowest Common Multiples , Square and Cube Roots
• Rate and Speed
• Ratio
• Real Numbers and their Four Operations
• Approximation and Estimation
• Number Patterns
• Volume and Surface Area of Prisms and Cylinders
• Analysis and Interpretations of Tables, Pictograms, Pie Charts, Line and Bar Graphs

GRADE 8 (NZ Y9)

• Algebra and Algebraic Manipulation
• Angles, Triangles, Quadrilaterals and Polygons
• Approximation and Estimation
• Congruent and Similar Figures
• Direct and Indirect Proportions
• Expansi on and Factorisation of Quadratic Expressions
• Four Operations of Algebraic Fractions
• Graphs of Quadratic Functions
• Linear Equations
• Linear Functions and Graphs
• Linear Inequalities
• Map and Scales
• Number Patterns
• Percentage
• Primes, Highest Common Factors, Lowest Common Multiples, Square and Cube Roots
• Probability of Single Events
• Pythagoras’ Theorem
• Quadratic Equations
• Number Patterns
• Rate and Speed
• Ratio
• Simultaneous Equations
• Trigonometric Ratios
• Analysis and Interpretations of Tables, Pictograms, Pie Charts, Dot Diagrams, Histograms, Stem-and-Leaf Diagrams, Line and Bar Graphs
• Mean, Mode and Median
• Volume and Surface Area of Prism & Cylinder
• Volume and Surface Area of Pyramids, Cones and Spheres
• Volume of Cube and Cuboid
• Tables and Line Graphs

GRADE 9 (NZ Y10)

• Algebra and Algebraic Manipulation
• Algebraic Fractions
• Angles, Triangles, Quadrilaterals and Polygons
• Applications of Trigonometry
• Approximation and Estimation
• Arc Length, Sector Area and Radian Measure
• Area and Perimeter of Plane Figures
• Congruence and Similarity
• Coordinate Geometry
• Data Handling and An alysis
• Expansion and Factorisation of Quadratic Expressions
• Functions and Graphs
• Further Trigonometry
• Indices and Standard Form
• Linear Equations
• Linear Inequalities
• Map and Scales
• Number Patterns
• Percentage
• Primes, Highest Common Factors, Lowest Common Multiples , Square and Cube
Roots
• Probability of Single and Combined Events
• Pythagoras’ Theorem
• Quadratic Equations
• Rate and Speed
• Ratio
• Direct and Indirect Proportions
• Real Numbers and their Four Operations
• Simultaneous Equations

GRADE 10-12 (NZ Y11-13)

• Expansion and Factorisation of Quadratic Expressions
• Functions and Graphs
• Further Trigonometry
• Indices and Standard Form
• Linear Equations
• Linear Inequalities
• Map and Scales
• Number Patterns
• Percentage
• Primes, Highest Common Factors, Lowest Common Multiples, Square and Cube Roots

• Probability of Single and Combined Events
• Pythagoras’ Theorem
• Quadratic Equations
• Rate and Speed
• Ratio
• Direct and Indirect Proportions
• Real Numbers and their Four Operations
• Simultaneous Equations
• Volume and Surface Area of Prism & Cylinder
• Volume and Surface Area of Pyramids, Cones and Spheres
• Set and Set Notation
• Matrices
• Vectors In Two Dimensions

Awards

Full Marks

Students who have scored FULL MARKS will be awarded:

Perfect Score certificate (physical);
Personalized medallion (physical);
Invited to compete in SIMOC 2026 (July).
Invited to compete in IJMO 2026 (December).
Performance Report

Gold / Silver Winner

Physical Medal + Physical Certificate
Invited to compete in SIMOC 2026 (July).
Invited to compete in IJMO 2026 (December).
Performance Report

Bronze Winner

Physical Medal + Physical Certificate
Invited to compete in SIMOC 2026 (July).
Performance Report

Honorable Mentioned

E-certificate
Performance Report
Eligible to compete in SIMOC 2026 (July). (Training required)

Participation

E-certificate
Performance Report

Overall Championship Awards

• SINGAPORE MATH GLOBAL FINALS Overall Championship awards are given to the top 3 winners per grade level from grades 1 to 10 based on the their individual score*.
• They will be announced during the Online Award Ceremony.
• In the event of any ties, we will give the winners the same position. For example, if two contestants score 90 points and the third contestant scores 87 points, we will grant 2 overall champions and an overall 2nd runner-up. And the awards will be split between the 2 winners.

Awards (SIMCC VOUCHER)

Overall Champion will be awarded an SMGF–SIMOC Voucher for the SIMOC 2026 contest
and training package, valued at approximately SGD 600
Overall Runner-up worth SGD300 (SIMCC Gift Voucher)
Overall 2nd Runner-up worth SGD100 (SIMCC Gift Voucher)