Age (9-11)

Main Topics

• Work confidently with large whole numbers, factors, multiples, and prime numbers.
• Apply the four operations to multi-step problems.
• Work with fractions, decimals, and percentages in practical situations.
• Explore patterns, sequences, and simple unknown-number problems.
• Calculate perimeter, area, angles, and properties of shapes.
• Work with measurement, time, money, and simple speed problems.
• Understand and apply ratios and proportions.
• Read and interpret tables, charts, and graphs.
• Explore mean, median, mode, and basic probability.
• Solve challenging multi-step mathematical and real-life problems.

Detailed Syllabus

1. Numbers & Number Sense

• Read, write, compare, and order numbers up to millions.
• Place value and expanded form.
• Factors and multiples.
• Prime and composite numbers.
• Prime factorization of smaller numbers.
• Common factors and common multiples.
• Number patterns and number puzzles.

2. Operations & Calculation

• Multi-digit addition, subtraction, multiplication, and division.
• Long multiplication and long division.
• Order of operations using brackets.
• Estimation and checking answers.
• Mental-math strategies.
• Multi-step calculations involving different operations.

3. Fractions

• Proper, improper, and mixed fractions.
• Equivalent and simplified fractions.
• Compare and order fractions.
• Add and subtract fractions.
• Multiply simple fractions by whole numbers.
• Fraction problems in real-life situations.

4. Decimals & Percentages

• Read, compare, and order decimals.
• Add, subtract, multiply, and divide decimals.
• Convert simple fractions to decimals.
• Understand percentages as parts of 100.
• Find common percentages such as 10%, 25%, 50%, and 75%.
• Solve money and discount problems.

5. Patterns & Early Unknowns

Instead of formal algebra, keep this age group focused on number reasoning.

• Complete number sequences.
• Identify the rule in a pattern.
• Find missing numbers.
• Use boxes or symbols for unknown numbers.
• Solve simple number puzzles.
• Understand relationships such as:
  • “A number plus 8 equals 25.”
  • “Three groups of a number make 24.”
• Function-machine style challenges.

6. Geometry

• Classify triangles and quadrilaterals.
• Identify different types of angles.
• Measure and calculate angles.
• Lines of symmetry.
• Reflections and simple transformations.
• Perimeter of regular and irregular shapes.
• Area of rectangles, squares, and simple composite shapes.
• Identify properties of common 2D and 3D shapes.

7. Measurement, Time & Speed

• Convert metric units.
• Length, mass, and capacity.
• Calculate elapsed time.
• Read timetables and schedules.
• Solve money and shopping problems.
• Understand simple distance, time, and speed situations.
• Solve real-world measurement challenges.

8. Ratio & Proportion

• Understand and write ratios.
• Simplify simple ratios.
• Compare quantities using ratios.
• Solve simple proportion problems.
• Use ratios in recipes, sharing, maps, and everyday situations.
• Apply percentages to real-life situations.

9. Data Handling & Probability

• Read and interpret tables.
• Bar graphs and line graphs.
• Compare information from different graphs.
• Find mean, median, and mode from small data sets.
• Identify the range of a data set.
• Understand simple probability using words such as certain, likely, unlikely, and impossible.
• Solve simple probability experiments.

10. Mathematical Problem Solving

• Multi-step word problems.
• Problems combining fractions, decimals, measurement, and money.
• Identify the information needed to solve a problem.
• Choose the appropriate operation or method.
• Estimate before calculating.
• Find and correct mistakes.
• Explain the reasoning behind an answer.
• Solve problems with more than one possible approach.

Important Note for Participants

The topics and subtopics provided are the main areas of the syllabus. They are not limited to only the examples mentioned.