Abacus puzzles -- Guy, age 9

The Chinese triangle -- Guy, age 9

Shapes ratio -- Michael, age 10

Angles in polygons -- Neil, age 10

Patterns on a number grid-- Reena, age 11

Dice race-- Millie, age 10

3-D shapes -- Jamie, age 10

Multiplication challenge -- John-Paul, age 11

The work of gifted and talented children in mathematics in years 5 and 6 shows that they can:

grasp mathematical ideas quickly;

calculate fluently and make reasonable estimates;

make conjectures and check their validity;

make generalisations and communicate them in words or symbols;

think flexibly, choosing and using appropriate mathematical operations to solve problems;

make connections between different aspects of mathematics;

use reasoning and develop logical arguments;

work accurately and systematically;

communicate mathematical ideas clearly, both orally and in writing.

In addition, key stage 2 children:

use combinations of mathematical operations to solve increasingly complex problems;

begin to appreciate the idea of mathematical argument and proof;

use a wider range of symbols and notation to represent and analyse mathematical situations;

analyse characteristics of shapes and begin to develop arguments about geometric relationships;

formulate questions that can be addressed with data; collect, organise and interpret relevant data to answer them.

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