Cambridge Lower Secondary Maths — Year 9 (Stage 9)
Year 9 is Stage 9 of the Cambridge Lower Secondary Mathematics programme (framework 0862) and the year of the Checkpoint test. It consolidates the whole Lower Secondary programme and is the final bridge into IGCSE Mathematics, introducing Pythagoras’ theorem and trigonometry, quadratic expressions and simultaneous equations, and the probability of combined events.
Cambridge organises the maths curriculum into four strands: Number, Algebra, Geometry and Measure, and Statistics and Probability. In Year 9 students consolidate indices and standard form, tackle compound and reverse percentages and compound measures such as speed and density; expand and factorise quadratic expressions, solve simultaneous equations and find the nth term of sequences; apply Pythagoras’ theorem and trigonometry to right-angled triangles and work with the mensuration of circles, cylinders and compound solids; and handle the probability of combined events and the averages and interpretation of grouped data — all at the highest Lower Secondary level, ready for the Checkpoint assessment.
Number
Indices & Standard Form
Use positive, negative and zero indices, and write and calculate with small and large numbers in standard form.
Compound & Reverse Percentages
Use multipliers for repeated percentage change and compound interest, and find an original amount with reverse percentages.
Ratio, Proportion & Compound Measures
Solve harder ratio and proportion problems and use compound measures such as speed and density.
Algebra
Quadratic Expressions
Expand the product of two brackets and factorise quadratic expressions of the form x² + bx + c.
Simultaneous Equations
Solve a pair of linear simultaneous equations by elimination and by substitution.
Sequences & the nth Term
Find the nth term rule of a linear sequence and use it to generate terms and check membership.
Geometry and Measure
Pythagoras' Theorem
Use Pythagoras' theorem to find a missing side in a right-angled triangle and solve problems.
Introductory Trigonometry
Use sine, cosine and tangent to find missing sides and angles in right-angled triangles.
Mensuration
Find the surface area and volume of cylinders and compound solids, and convert between units of area and volume.
Statistics and Probability
Looking ahead to IGCSE?
Stage 9 is the direct stepping stone to IGCSE (Cambridge 0580). Pythagoras and trigonometry lead straight into the IGCSE Trigonometry topic, quadratics and simultaneous equations into Algebra and Graphs, and combined-event probability into the IGCSE Probability topic.
Read the Year 9 IGCSE preparation guide →Frequently Asked Questions
What is Cambridge Lower Secondary Year 9 (Stage 9)?
Year 9 is Stage 9 of the Cambridge Lower Secondary Mathematics framework (0862) and the year of the Checkpoint test. It is the final stage before IGCSE Mathematics and consolidates the whole Lower Secondary programme.
What maths topics are covered in Year 9?
Year 9 covers indices and standard form, compound and reverse percentages, and ratio with compound measures in Number; quadratic expressions, simultaneous equations and sequences in Algebra; Pythagoras’ theorem, trigonometry and mensuration in Geometry; and the probability of combined events and the averages and interpretation of grouped data.
How does Year 9 maths prepare students for IGCSE?
Stage 9 is the direct bridge into IGCSE. Pythagoras, trigonometry, quadratics and simultaneous equations are all IGCSE topics, so a strong Year 9 means students start IGCSE already confident with the fundamentals.