# 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