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ECZ exam guide

How to revise for ECZ mathematics, Grade 10–12: the full topic checklist

Past papers are free in Zambia and every candidate has them. What costs marks is revising the wrong topics, and losing method marks on the ones you thought you knew. This page is a checklist of every topic area in the ECZ Grade 10–12 mathematics syllabus, and a weekly routine for working through it.

The topic checklist

Work through the groups in this order. For each topic, the test is simple: can you do a full question on it, on paper, showing every line of working, without looking anything up? If not, it goes on your weak list.

Number

Number and numeration · Fractions, decimals and percentages · Ratio, proportion and rates · Variation · Indices and standard form · Surds · Approximations and errors · Sets

Algebra

Algebraic expressions · Algebraic equations · Inequalities · Quadratic equations · Algebraic functions · Sequences and series · Matrices · Flowcharts and pseudocode

Graphs

Coordinates and straight-line graphs · Graphs and functions · Transformations of graphs · Distance–time and speed–time graphs

Geometry and mensuration

Angles and geometrical reasoning · Geometrical construction · Locus of points · Triangles and quadrilaterals · Circles · Perimeter and area · Surface area and volume · Earth geometry

Trigonometry and vectors

Basic trigonometry · Applications of trigonometry · Sine rule and cosine rule · Trigonometric graphs and equations · Introduction to vectors · Applications of vectors

Statistics and probability

Collecting and presenting data · Measures of central tendency · Measures of dispersion · Statistical interpretation · Basic probability

A weekly routine that earns method marks

  1. Pick one weak topic per day. Not your best one — the one you would quietly skip.
  2. Climb the difficulty ladder. Start with easy questions on that topic and only move up when your accuracy is consistent. Four levels is a good spread: foundation, application, analysis, mastery.
  3. Write full working, always. The exam pays method marks before it pays the answer. Practise the habit now, on paper, the way you will sit the exam.
  4. Keep a mistakes log. For every lost mark, write one line: what you did, what the examiner wanted. Re-read it before your next session.
  5. Sit timed papers in the last weeks. Full conditions, no notes, then go through every single lost mark.

Where ScoreUp fits

The hard part of this routine is not finding questions — it is finding out where your working went wrong. ScoreUp marks your own handwritten solution the way an ECZ examiner would: method marks, accuracy marks, and the exact line where it fell apart. You can see a sample marked question on our home page.

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