## 11+ maths syllabus and content.

Below is a comprehensive list of topics typically covered in the 11+ Maths syllabus, arranged by topics__.__ Remember, this is based on the National Curriculum guidelines and may vary slightly depending on the exam board or school:

1. Number and Place Value:

- Understanding and working with whole numbers, including up to millions.

- Place value: understanding the value of digits in numbers, including decimal places.

- Rounding numbers to the nearest 10, 100, or 1000.

- Ordering and comparing numbers.

- Prime numbers, factors, and multiples.

- Square numbers and cube numbers.

2. **Addition, Subtraction, Multiplication, and Division**:

- Efficient methods for addition and subtraction, including column addition and subtraction.

- Long multiplication and division.

- Multiplying and dividing by powers of 10.

- Solving word problems involving all four operations.

3. **Fractions, Decimals, and Percentages**:

- Understanding and comparing fractions.

- Equivalent fractions and simplifying fractions.

- Adding, subtracting, multiplying, and dividing fractions.

- Converting between fractions, decimals, and percentages.

- Calculating percentages of amounts.

- Solving word problems involving fractions, decimals, and percentages.

4. **Ratio and Proportion**:

- Understanding ratio notation.

- Solving problems using ratio and proportion.

- Sharing amounts into a given ratio.

5. **Algebra**:

- Understanding basic algebraic notation.

- Solving simple equations with one unknown.

- Using algebra to solve word problems.

- Understanding and using sequences and patterns.

6. **Geometry**:

- Identifying 2D and 3D shapes and their properties.

- Angles: identifying, measuring, and calculating angles in shapes.

- Symmetry: identifying lines of symmetry in shapes.

- Perimeter and area of 2D shapes.

- Volume and surface area of 3D shapes.

7. **Measurement**:

- Length, mass, capacity, and temperature conversions.

- Perimeter, area, and volume measurements.

- Units of measurement: understanding and converting between metric and imperial units.

8. **Statistics and Probability**:

- Interpreting and constructing tables, charts, and graphs.

- Calculating and interpreting measures of central tendency (mean, median, mode).

- Probability: understanding and calculating probability of simple events.

9. **Word Problems and Logical Reasoning**:

- Solving a variety of word problems involving multiple mathematical concepts.

- Developing logical reasoning skills to solve mathematical puzzles and problems.

Remember, while this syllabus covers the basics, it's advisable for students to practice beyond these topics, especially if they're aiming for selective schools where the number of applicants might be higher. Regular practice, revision, and exposure to a variety of problem-solving techniques are key to success in the 11+ Maths exam.