Data and population
Before calculating, identify what each value measures, the population, and whether the sample is representative.
IGCSE Year 11 / Mathematics / Curriculum
Vectors, statistics and probability: structured theory, worked examples, answered practice, and a mastery checklist for IGCSE Year 11.
Unit
The essential chapter ideas in a clear sequence before practice.
Before calculating, identify what each value measures, the population, and whether the sample is representative.
Mean, median, range, and probability answer different questions. Give the value together with a contextual interpretation.
A graph needs a valid scale and a probability must lie from 0 to 1. These checks immediately expose inconsistent answers.
Mathematics
Follow the method step by step and check why every step is valid.
For the data 4, 5, 9, 7, 7, find the mean and range.
Mathematics
Start from the board specification and work topic by topic before full papers.
The structure follows the official textbook layout and is used to organise study.
Mean 6.4, range 5.
Before calculating, explain the key idea from “Column vectors” and which conditions must be checked.
The answer should show not only which rule is used for “Column vectors”, but also why it is valid here.
Vectors, statistics and probability
Try independently, use the hint if needed, then open the answer guide.
1. Explain the idea and give one correct foundation example for “Column vectors”.
Write the givens, a useful representation or rule, and only then calculate.
A complete answer defines “Column vectors”, shows equivalent steps, and includes a final check.
2. Solve an application and show every intermediate step for “Vector geometry”.
Write the givens, a useful representation or rule, and only then calculate.
A complete answer defines “Vector geometry”, shows equivalent steps, and includes a final check.
3. Compare a correct and an incorrect approach and justify the difference for “Magnitude and direction”.
Write the givens, a useful representation or rule, and only then calculate.
A complete answer defines “Magnitude and direction”, shows equivalent steps, and includes a final check.
4. Create a short exam-style question and check your answer for “Histograms where applicable”.
Write the givens, a useful representation or rule, and only then calculate.
A complete answer defines “Histograms where applicable”, shows equivalent steps, and includes a final check.
The areas that usually create mistakes or need extra revision.
Where to start: textbook, daily material, PDFs, videos, and worked examples.
Targeted practice before full tests so coverage is clear.
How to measure progress in this chapter and when it enters a cumulative mock.
What to do after finishing the chapter and how it connects to the next unit.
Note: for the official examinable syllabus of each school year, always confirm with the school, tutor, and current Ministry/IEP announcements.