11-plus Maths tests are often used by Local Education Authorities and schools as part of a grammar school selection process.
Children must have a sound knowledge of all aspects of Mathematics including Shape and Space, Number, Measures, Handling Data, Algebra and of course problem solving. All the questions that are set may well be based on the National Curriculum Programmes of Study in maths.
These programs of study are statutory in schools and so your child should have been taught this work in their everyday school work or perhaps been introduced to the numerous topics as a homework exercise.
These maths programs of study, which are built upon year on year in each school include: -
Number including place value. They should be able to read, write, order and compare numbers up to at least 1 000 000 and determine the value of each digit. They should be able to interpret negative and positive numbers in context understanding that these numbers include zero. They need to comprehend how to “round” any given number and to solve number problems.
Your child must extend and apply their understanding of the number system to decimal numbers (up to three decimal places), percentages and fractions. Being able to apply the four rules of addition, subtraction, multiplication and division to problem solving quickly and with accuracy is essential.
Your child needs to practise and extend their use of number to include terms such as factor, multiple and prime, square and cube numbers.A glossary of mathematical terms will help to teach your child much of the mathematical language they will need for the 11+ exam.
With regards to measurement it is important for a child to be able to convert between different units of metric measure for example, kilometre and metre; centimetre and metre; centimetre and millimetre; gram and kilogram; litre and millilitre. It is vital that they can calculate the perimeter and area of shapes in centimetres and metres and be confident in using all four operations to solve problems involving measure for example, length, mass, volume, money.
Geometry requires being able to identify 3-D shapes, including cubes and other cuboids, including from their 2-D representations, understand and calculate angles measured in degrees, differentiate between acute, obtuse and reflex angles, understanding that 360° is a complete or whole turn and what happens when shapes are reflected.
Statistics demands the skill to solve comparison, sum and difference problems using information presented in a graph and being able to complete, read and interpret information in tables, including timetables.
The 11+ maths exam will be based on the National Curriculum programmes of study in maths but when bringing all these areas and skills together your child must be able to work quickly and accurately to apply their number facts to more difficult and very demanding maths questions. Often these questions will be written into quite long passages and your child will have to search for the required information. Maths type questions may also form part of Verbal Reasoning or Non-Verbal Reasoning 11-plus tests.
This 11+ maths practice book provides 10 tests with each test containing 50 questions covering the above subject areas. A comprehensive glossary and answers are included.