# Core Maths

All Year 12 and 13 students who do not take A Level Maths and/or Further Maths at CAST will be enrolled in Core Maths.

This Level 3 Certificate Mathematical Studies qualification will consolidate students' mathematical understanding as well as building their confidence and competence in applying mathematical techniques to solve a range of problems. In addition, it introduces them to new techniques and concepts which will prepare them for further study and future employment within a broad range of academic, professional, and technical fields.

Core Maths aims to prepare students for the mathematical demands of higher education and work where there is a distinct mathematical or statistical element, but where the mathematical demands do not stretch to a requirement for A-level Mathematics.

### Content

The course consists of material that is assessed in two 90 minute examination papers at the end of Year 13.

Paper 1 content is taught in Year 12:

Analysis of data

• Data
• Collecting and sampling data
• Representing data numerically
• Representing data diagrammatically

Maths for personal finance

• Numerical calculations
• Percentages
• Interest rates
• Repayments and the cost of credit
• Graphical representation
• Taxation
• Solution to financial problems

Estimation

• The modelling cycle
• Fermi estimation

Paper 2 content is taught in Year 13. Students can choose between option A or B depending on their needs and which material is most appropriate for their future studies and careers.

Critical analysis data and models

• Presenting logical and reasoned arguments in context
• Communicating mathematical approaches and solutions
• Analysing critically

Option A: Statistical Techniques

The normal distribution

• Properties of the normal distribution
• Notation
• Calculating probabilities

Probabilities and estimation

• Population and sample
• The mean of sample size n
• Confidence intervals

Correlation and regression

• Correlation
• The product moment correlation coefficient
• Regression lines
• Calculations

Option B: Critical Path and Risk Analysis

Critical path analysis

• Compound projects
• Critical activities
• Gantt charts

Expectation

• Probability
• Diagrammatic representations
• Combined events
• Expected value

Cost benefit analysis

• Living with uncertainty
• Control measures
• Risk analysis