Age 7 to 11
Ages: 7 to 11 (Years 3, 4, 5 and 6)

These school years will build on the work done in the early years and will also end with a SATs test as specified in the National Curriculum, towards the end of Year 6.
The additional work done in each year is:
Year 3:
- >, <, = use of these symbols
- square numbers, prime numbers
- muliples of numbers
- more fractions: 1/8, 1/10 etc
- decimal fractions: getting a feel for their size
- continued use of the 4 main oprerators: +, -, X, / for more detailed calculations.
- adding: more than 2 numbers
- multiplying: 2 digit by 1 digit. Introducing the other times tables to 10
- division: halving and quartering by division, idea of remainder
Year 4:
- Fraction equivalence
- Negative numbers: appreciation of more and less
- Odds and Evens: telling whether the result of an addition is odd or even by looking at the properties of the two numbers added
- Ratio
- Decimals and Fractions: their relationship
- Extending work with the 4 operators:
- adding: decimal numbers
- subtracting: decimals
- multiplication: doubling
- division: by single digit, maybe with remainder
- Measurement: less and more in different units, converting units of measurement cm, mm, m
- Areas: by counting squares
- Perimeters of shapes
- 3D Shapes: faces, edges, vertices, nets
- Angle: measurement by protractor
- Compass points
Year 5:
- Writing larger numbers as figures and words
- Estimating calculations by rounding
- Estimating fractions of quantities
- Negative numbers: differences between
- Multiples and factors
- Number squaring
- Fractions: comparing sizes, with many different denominators. Considering one quantity as a fraction of another
- Percentage: of a quantity, manually calculated
- Extending work with the 4 operators:
- Adding: several numbers, varying sizes, in columns
- Subtracting: hundreds and thousands
- Multiplying: of decimals, and long multiplication
- Dividing: into numbers in hundreds and thousands
- Calculator work for all operations including problem solving
- Areas: in square mm, cm, m. Also converting between such units
- Metric and imperial units: comparing between
- Triangle: types of
- Time: 24 hour clock
- Angles: types of, calculation of angles in shapes
- Reflection and rotation
- Probability: understanding of, and associated words
Year 6:
- Estimating decimal calculations by rounding to a whole number
- Number sequence: describing the pattern
- Multiples: awareness of larger multiples of single digit numbers
- Fractions: by all 4 operators, also mixed numbers and improper fractions
- Percentage: one number as percentage of another, percentages of quantities, with and without use of calculator
- Extending work with the 4 operators:
- Multiplication: Long, with 3 digit numbers
- Division: Long, by 2 digits
- Calculator work: extended to fraction and percentage
- Brackets: interpreting use of, in more complex calculations
- Metric/Imperial units: converting between
- Area calculation: square, rectangle, triangle
- Quadrilaterals: further types
- Polygons: names and properties
Towards the end of Year 6, children will take a SATs test as specified in the national cuuriculum. This will assess their attainment thus far. The exam consists of a calculator paper, a non-calculator paper and a mental test.
Tuition can address any or all of the above areas, and provide practice in SATs tests by the use of past papers