__Key Stage 2, Key Stage 3, Key Stage 4__

__ 11+ Entrance Exam and __

__Key Stage 2 Topics__

**Addition and subtraction**

Introduce various methods of addition and subtraction.

**Multiplication**

Introduction to multiplication as repeated addition.

**Division**

An introduction to division.

**Addition and subtraction of fractions**

Addition and Subtraction of fractions.

**Common fractions**

An introduction to common fractions.

**Decimal addition and subtraction**

Addition and subtraction of fractions.

**Decimal fractions**

An introduction to decimal fractions.

**24 hour time **

To introduce the concept of digital (24 hour) time.

**Analogue time**

An introduction to telling and reading time on an analogue watch.

**Data handling**

A basic introduction to tallying raw data and drawing up a bar graph.

**Integers**

To introduce the concept of addition of positive and negative numbers.

**Introduction to integers**

To introduce the concept of numbers less than zero.

**Multiples**

Introduction to Multiples as repeated Multiples.

**Number patterns**

Receive an introduction to number patterns.

**Place value**

Introduction to the place values of numbers.

**Prime and composite numbers**

Identifying, testing for and listing prime numbers.

**Ratio**

Ratio is a comparison of two numbers by division.

**3D shapes**

Introducing 3D shapes and corresponding terminology.

**Area**

Discovering the formula for area of rectangular and square shapes.

**Perimeter**

Discovering the formula for perimeter of rectangular and square shapes.

**Polygons**

An introduction to the properties of various polygons.

**Volume**

An introduction to volume.

__Key Stage 3 Topics__

**Triangle Types**

Learn how to recognise and name different types of triangles.

**Angle Types**

Learn how to recognise different types of angle - acute, obtuse and reflex.

**Angle Measure 1: Acute and Obtuse**

To be able to construct and measure acute and obtuse angles.

**Angle Measure 2: Reflex**

To be able to construct and measure reflex angles.

**Solids**

Learn how to name and draw 3-dimensional shapes, such as cylinders, cones, tetrahedrons, prisms and pyramids.

**Understanding Rotation**

Understand and use the language associated with rotations.

**Rotational Transformations**

Learn to transform shapes by rotation using a compass, ruler and protractor.

**Symmetry**

Learn how to name polygons and how to draw lines of symmetry on a variety of shapes.

**Axial Symmetry**

Learn about axial symmetry and the difference between the axes.

**Planes of Symmetry**

Understand how to find planes of symmetry on common solids.

**Co-ordinates**

Understand how to locate points in a 2-dimensional plane using co-ordinates.

**Cartesian Plane**

Understand how to read the co-ordinates of points plotted on the Cartesian plane.

**Plotting Points in a Quadrant**

Learn to plot points on the Cartesian plane using co-ordinates.

**Variables**

Learn how to replace numbers with letters called variables.

**Expressions**

Learn how to simplify collections of terms called "expressions".

**Multiplication of Variables**

Understand how to multiply variables and terms in expressions.

**Brackets**

Learn how to contain terms in brackets.

**Algebraic Fractions**

Understand how to use fractions when the numerators and denominators contain algebraic expressions.

**Linear Equations**

**Learn how to recognise a linear equation.
**

**Simultaneous Equations**

Learn how to solve simultaneous equations using the elimination method.

**Bisecting Lines**

Learn how to bisect lines and angles using a compass and a straight edge.

**Pythagoras' Theorem**

Learn how Pythagoras' Theorem can be used to solve problems with right-angled triangles.

**Trigonometric Ratios**

Understand that the trigonometrical ratios are ratios of triangle sides.

**Finding Angles From Ratios**

Learn how to use a scientific calculator to find angles when given a trigonometrical ratio.

**Multiplying by 10, 100...**

Learn how to multiply and divide numbers using powers of 10.

**Summing Decimals**

Learn how to add and subtract numbers that have up to 2 decimal places.

**Ordering Decimals**

Learn how to order whole numbers and numbers with up to two decimal places.

__Key Stage 4 Topics__

**Simultaneous Equations**

To understand what simultaneous equations are and learn how to solve simultaneous equations and problems, using simultaneous equations.

**Solving Quadratic Equations**

To understand how to define, factorise and solve a Quadratic Equation.

**Solving Quadratic Equations by Formula**

To understand how to use a formula and solve any possible Quadratic Equation which has real solutions.

**Factors 1**

To understand how to extract common factors and how to factorise simple terms and quadratics.

**Factors 2**

To understand how to extract common factors from four terms and how to factorise complex quadratic equations and squares.

**Area of Triangle**

To be able to understand the rule for the area of a non right-angled triangle and apply the rule for the area of a triangle to simple and complex problems.

**Pythagoras' Theorem**

To be able to identify when Pythagoras' Theorem can be used, and how to solve right-angled triangle problems.

**The Sine Rule**

To understand how to apply the Sine Rule to a simple triangle and to more complex problems, and how to use compass directions to solve problems.

**Triangle Basics**

To understand how to identify right angle, adjacent, opposite and hypotenuse sides in right-angled triangles, and describe the ratio of sine, cosine and tangent.

**Triangles with Angles > 90 Degrees**

To understand how to find the value of an angle if given the Sin, Cos or Tan for an angle between 90° and 360°, inclusive.

**Circles**

To understand the circumference, arcs, cyclic quadrilaterals and tangents to circles.

**Equation of the Line**

To understand how to find the equation of the line linking any two points, and how to draw any line from the equation of the line.

**Slope**

To understand the slope formula and how to apply it to calculate slopes of parallel and perpendicular lines.

**Triangle Theorems**

To understand triangle ratios, equiangular triangles and Pythagoras' Theorem.

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__11+ (Year 7) Entrance Exam Topics__

This paper checks basic numerical skills , tackle real-life and theoretical problems contained within National Curriculum Attainment Targets Ma2 to Ma4. Questions are generally aimed at Levels 4 and 5 with some elements of Level 6.

Questions may be set on the followings topics:

Addition and subtraction of integers and decimal;

Long multiplication of integers or division by one or two digit integers;

Subtraction and multiplication of simple decimals;

Making sensible estimates of everyday objects;

Simplifying fractions and finding fractions of quantities;

Simple percentage;

Use simple imperial or metric units in context, know to convert one metric to another and know the rough metric equivalents of imperial units in daily use;

Recognising number patterns;

Knowing prime number to 20 and square number up to 10 x10;

Cartesian co-ordinates;

Using simple formulae;

Understand the meaning of factor and multiple;

Use correctly of symbols< , > and = ;

Understand the use of brackets to determine the order of operations;

Recognise the angles on a straight line total 180˚ and the sum of the angles of a triangle is 180˚;

Simple 2D and 3D shapes, visualise 3D shapes from 2D drawings;

Reflective, rotational symmetry and translation;

Finding perimeters, area or simple volumes and angles;

Use units of time – seconds, minutes, hours, days and weeks and know the relationship between them;

Interpretation of statistical diagrams ( bar charts, line graphs ,pie charts, etc);

Estimation of probability on the scale of 0 to 1;

Mean, mode, median and range of a set of data.

__13+ (Year 9) Entrance Exam Topics__

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**This paper checks basic numerical skills and gives candidates the opportunity to tackle real-life and theoretical problems contained within National Curriculum Attainment Targets Ma2 to Ma4. Questions are generally aimed at Levels 5 and 6, with some elements of Level 7. Material contained in the 11+ (Year 7) paper is assumed. No calculators are permitted. **

Questions may be set on the following topics:

The four basic operations applied to fractions; ratios, calculations with decimals, use of estimation to check calculations;

Generating sequences using formulae;

Co-ordinates in all quadrants;

Solving simple equations or inequalities;

Simplifying algebraic expressions; substituting numbers into a formula. Solving a pair of simultaneous equations either graphically or by elimination. The graphical representation of simple linear equations.

Understanding the meaning of square, square root, cube and cube root;

Use index notation and know the laws for multiplying and dividing positive integer powers.

2D and 3D shapes; area of plane shapes or volumes of simple solids; types of quadrilaterals;

Pythagoras’ Theorem;

Find an exterior or interior angle of a regular polygon;

Transformations: Rotation, Reflection, Translation and Enlargement;

Probability; outcomes of combining two independent events;

Have a basic understanding of correlation and be able to use a line of best fit.