CAPE Applied Mathematics Unit 1
Learn to collect, describe, analyse and interpret data while developing statistical reasoning for real-world decisions.
Statistical analysis from data collection to inference
Unit 1 builds a complete statistical pathway: collecting reliable data, modelling uncertainty and using evidence to make justified conclusions.
Learn, practise and improve
Students receive structured teaching and digital support throughout the programme.
Free CAPE Applied Mathematics Unit 1 Video Course
Study all 17 lessons in order. Open a module and select each separate video lesson.
Statistical FoundationsLessons 1–2+
Unit 1 Applied Mathematics Module 1
Unit 1 Applied Mathematics Module 1
Probability DistributionsLessons 3–9+
Unit 1 Applied mathematics Probability
Unit 1 Applied Mathematics Probability 2
Unit 1 Applied Mathematics Discrete Random Variables
Unit 1 Applied Mathematics Binomial distribution
Unit 1 Applied Mathematics Continuous random variables
Unit 1 Applied Mathematics Normal Distribution
Unit 1 Applied Normal Distribution 3
Regression, Estimation & Hypothesis TestingLessons 10–17+
Unit 1 Applied Mathematics Linear Regression
Unit 1 Applied Mathematics Correlation and Past papers
Unit 1 Applied mathematics Sampling distribution and estimation 1
Unit 1 Applied Mathematics point estimate
Unit 1 Applied Mathematics Confidence interval
Unit 1 Applied Mathematics Confidence intervals 2
Unit 1 Applied Mathematics CI questions and Chi-Squared
CAPE Applied Mathematics Unit 1 Crash Course
The lessons follow the order of the official ARETE YouTube playlist.
View original playlist ↗What students will study
Topics are grouped into clear modules so students can build understanding progressively.
Collecting & Describing Data
- Populations, samples and sampling methods
- Data collection and presentation
- Measures of location and spread
- Graphical and numerical summaries
Managing Uncertainty
- Probability rules
- Random variables
- Discrete and continuous distributions
- Normal distribution and modelling
Analysing & Interpreting Data
- Sampling distributions and estimation
- Confidence intervals
- Hypothesis testing
- Correlation and regression
Support from lesson to examination
Diagnostic support
Identify weak areas and set clear learning priorities.
Exam practice
Develop method, accuracy, timing and question selection.
ARETE+ access
Review notes, quizzes and learning materials from any device.
Guidance
Get feedback and help with difficult concepts and calculations.
Ready to begin Applied Mathematics Unit 1?
Apply online or message the office to confirm the current timetable and available spaces.