Functional Skills Maths Level 2

Add, subtract, multiply and divide decimals up to three decimal places

And include numbers up 10 million and Money problems

Apply the four operations, including formal written methods, to integers,

Follow the order of precedence of operators, including indices (No indices beyond cubic)

All both positive and negative; understand and use place value

Order, approximate and compare decimals

Add, subtract, multiply and divide decimals up to three decimal places

Read, write, order and compare positive and negative numbers of any size

Include decimals and fractions; use the symbols =, ≠, , ≤, ≥

Apply the four operations, - fractions (proper and improper), and mixed numbers

Express one number as a fraction of another

Work out percentages of amounts and express one amount as a percentage of another

Calculate percentage change (any size increase and decrease), and original value after percentage change

Calculate percentage change (any size increase and decrease), and original value after percentage change

Identify and know the equivalence between fractions, decimals, and percentages

Work interchangeably with terminating decimals and their corresponding fractions

Carry out calculations (up to one million) to check answers including estimation and approximation estimate answers; check calculations using approximation and estimation, including answers obtained using technology

Understand and calculate using ratios, use ratio notation, including reduction to simplest form, simplifying ratios, ratio of amount, total from 1 ratio

Direct proportion and inverse proportion (without the need for algebra)

Basic multiplication problems, involving some ratio

Evaluate expressions and make substitutions in given formulae in words and symbols

Perform calculations and solve problems multistep problems involving money

Calculate amounts of money, compound interest, percentage increases, decreases and discounts including tax and simple budgeting

Convert between units of length, weight, money, and time.

Solve problems requiring unit conversions.

Read and interpret conversion graphs

Calculate using compound measures including speed, density, and rates of pay

Calculate perimeters and areas of circles

know the formulae: circumference of a circle = 2\pi r=2πr = \pi d=πd , area of a circle = \pi r2=πr2

Calculate perimeters and areas of 2-D shapes including triangles and circles and composite shapes including non-rectangular shapes

Draw and interpret nets of regular and irregular 3D shapes

Using nets, draw corresponding 3D shapes.

Use formulae to find volumes and surface areas of 3-D shapes including cylinders

Can include more complex 3D shapes, however formula and definitions or all terms will be given.

Cylinders, prisms, cuboids, pyramids, some slightly complex shapes

Can include more complex 3D shapes, however formula and definitions or all terms will be given.

Understand and use common 2-D representations of 3-D objects

Construct and interpret plans and elevations of 3D shapes

Draw 3-D shapes to include plans and elevations

Calculate actual dimensions from scale drawings and create a scale diagram given actual measurements

Use scale factors, scale diagrams and maps

Use coordinates in 2-D, positive and negative, to specify the positions of points

Work with coordinates in all four quadrants

Drawn lines and shapes from given coordinates.

Calculate values of angles and/or coordinates with 2-D and 3-D shapes

Angles in a triangle

Angles in a quadrilateral

Calculate the median and mode of a set of quantities

Use the mean, median, mode and range to compare two sets of data

Work out the probability of combined events including the use of diagrams and tables, including two-way tables

Estimate the mean of a grouped frequency distribution from discrete data

Work out the probability of combined events including the use of diagrams and tables, including two-way tables

Express probabilities as fractions, decimals and percentages expected frequencies to theoretical probability, using appropriate language and the 0-1 probability scale

Draw and interpret scatter diagrams and recognise positive and negative correlation.

Line of best fit