Basic Skills Online - Level 2 - Numeracy Standards

Number and Calculation - At this level, adults are expected to:

• Read, write, order and compare positive and negative numbers of any size in a practical context
• Read and record positive numbers of any size in digit form
• Read and record negative numbers of any size in digit form
• Arrange positive and negative numbers in order of size
• Compare positive and negative numbers of any size
• Carry out calculations with numbers of any size using efficient methods, including the use of a calculator
• Carry out calculations involving two or more steps
• Use a calculator to check calculations
• Use a calculator to add, subtract, multiply and divide using all the calculator functions efficiently
• Calculate ratio and direct proportion
• Calculate the number of parts in a given ratio and the value of one part
• Calculate quantities using ratio in the form of a:b or a:b:c
• Calculate using direct proportion
• Evaluate expressions and make substitutions in given formulae in words and symbols to produce results
• Carry out calculations in the correct order
• Match expressions in words and symbols
• Multiply when there is no operator between a number and one or more variables
• Evaluate simple formulae using brackets
• Evaluate simple expressions involving more than one variable

Calculating using Fractions, Decimals and Percentages - At this level, adults are expected to:

• Use fractions to order and compare quantities or amounts
• Reduce a fraction to it's simplest form using factors to cancel
• Use fractions with the same denominators to order quantities or amounts
• Order fractions with different denominations to order quantities or amounts
• Use fractions to compare quantities or amounts
• Identify equivalencies between fractions, percentages and decimals
• Convert a given fraction to a decimal and a percentage
• Convert a given decimal to a fraction and a percentage
• Convert a given percentage to a fraction and a decimal
• Arrange fractions, decimals and percentages in order of size
• Evaluate one number as a fraction of another
• Calculate a number as a fraction of another giving the answer in it's simplest form
• Use fractions to add and subtract amount or quantities
• Use fractions to add amounts or quantities
• Use fractions to subtract amounts or quantities
• Use a calculator to add and subtract efficiently using fractions
• Use a calculator to check fraction calculations
• Order, approximate and compare decimals when solving practical problems
• Round decimals with three decimal places to two decimal places
• Round decimals with two decimal places to one decimal places
• Round decimals with one decimal place to a whole number
• Round answers from a calculator to an appropriate degree of accuracy
• Order decimals
• Compare decimals
• Add, Subtract, Multiply and divide decimals up to three places
• Add and subtract decimals using efficient written methods
• Multiply and divide using efficient written methods
• Add and subtract using efficient calculator methods
• Multiply and divide decimals using efficient calculator methods
• Order and compare percentages and understand percentage increase and decrease
• Order percentages
• Compare percentages
• Calculate a percentage increase
• Calculate a percentage decrease
• Find percentage parts of quantities and measurements
• Calculate percentage parts of quantities and measurements using efficient written methods
• Calculate percentage parts of quantities and measurements using a calculator
• Calculate percentage parts of quantities and measurements using quick methods
• Evaluate one number as a percentage of another
• Calculate one number as a percentage of another by changing a fraction to a percentage

Calculating using Common Measures - At this level, adults are expected to:

• Calculate with sums of money and convert between currencies
• Calculate using sums of money
• Calculate to convert between sterling and different currencies
• Calculate, measure and record time in different formats
• Record different units for measuring time
• Record the relationship between units of time
• Calculate durations of time using 12hr and 24hr clock format
• Calculate durations of time using a calendar
• Measure and record durations of time, in different formats, using appropriate measuring instruments
• Estimate, measure and compare length, weight, capacity and temperature using metric and where appropriate, imperial units
• Estimate, measure and compare length using metric units to an appropriate degree of accuracy
• Estimate, measure and compare weight using metric units to an appropriate degree of accuracy
• Estimate, measure and compare capacity using metric units to an appropriate degree of accuracy
• Estimate, measure and compare temperature using appropriate units to an appropriate degree of accuracy
• Calculate with units
• Carry out calculations involving units within the same system
• Carry out calculations involving units in different systems using conversion tables and scales
• Approximate conversion factors

Calculating using Shape and Space - At this level, adults are expected to:

• Understand and use given formulae
• Calculate perimeters and areas of regular shapes using given formulae
• Calculate areas of composite shapes using given formulae
• Calculate volumes of regular shapes using given formulae
• Work out dimensions from scale drawings
• Calculate measurements from plans and scale drawings with different scales
• Recognise and use common 2-D representations of 3-D objects
• Name 3-D objects represented in 2-D form
• Use 2-D representations of 3-D objects in maps or plans
• Solve problems involving 2-D shapes and parallel lines
• Identify parallel lines on common 2-D shapes
• Use the properties of parallel lines to solve problems using 2-D shapes

Use Data and Statistics - At this level, adults are expected to:

• Extract discrete data and continuous data
• Explain what discrete data is
• Explain what continuous data is
• Extract discrete data and continuous data from tables, diagrams, charts and graphs
• Collect, organise and represent discrete and continuous data in tables, diagrams, charts and line graphs
• Collect discrete data
• Organise and represent discrete data in tables, diagrams and charts using suitable scales
• Collect continuous data
• Organise and represent continuous data in a line graph and identify trends from the shape of the line
• Find the mean, median and mode and use them as appropriate to compare two sets of data
• Find the means for collected or given sets of data
• Find the medians for collected or given sets of data
• Find the modes for collected or given sets of data
• Compare the means, medians and modes for two sets of data and explain how each average is useful for different purposes
• Find the range and use it to describe the spread within two sets of data
• Calculate the ranges of given sets of data in everyday usage
• Compare the ranges of collected data

Probability - At this level, adults are expected to:

• Identify the range of possible outcomes of combined events and record the information using diagrams or tables
• Explain the outcomes when events are independant
• Record the outcomes of an independant event
• Explain the outcome when events are combined
• Record the possible outcomes of combined events in tables
• Record the possible outcomes of combined events in a tree diagram

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