Unit 1: Applications of Number, Statistics and Probability in Vocational Roles

The aim of this unit is to enable learners to solve mathematical problems in a range of different vocational roles. They will develop skills in using number, including fractions, decimals, percentages and standard form, in statistical calculations, diagrams and sampling techniques by using discrete and continuous data and use probability to predict outcomes.


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Unit 1: Applications of Number, Statistics and Probability in Vocational Roles

BTEC Level 2 Mathematical Applications


Assessment and grading criteria


To achieve a pass grade the evidence must show that the learner is able to:


To achieve a merit grade the evidence must show that, in addition to the pass criteria, the learner is able to:

To achieve a distinction grade the evidence must show that, in addition to the pass and merit criteria, the learner is able to:

P1 Use fractions, decimals and percentages to solve real-life problems in context

M1 Convert between metric and imperial measurements and use rounding to give answers to real-life problems

D1 Use percentage error to a sensible degree of accuracy in real-life problems

P2 Convert numbers to and from standard form to solve real-life problems in context

M2 Calculate using standard form to solve real-life problems in context


P3 Use the probability scale from 0 to 1 to represent outcomes in work-related real-life situations

M3 Use the AND and OR rules for probability to predict outcomes in practical situations

D2 Compare two situations using probability and give advantages of one situation

P4 Use statistical sampling in real-life situations to compare discrete and continuous data

M4 Make predictions using trends found in data in contextual situations

D3 Contrast two situations, referring to statistical techniques, making justified suggestion for improvement in at least one

P5 Represent data by using two of the following statistical diagrams; scatter diagrams, cumulative frequency diagrams, box plots and histograms in real-life situations

M5 Interpret the statistical diagrams in P5