Free Cambridge IGCSE 0580 Extended baseline test: start of Year 11
Find out where a student is starting from at the start of Year 11. 20 multiple-choice questions on the Cambridge IGCSE Extended content usually taught in Year 10: surds, growth and decay, algebraic fractions, quadratics, proportion, functions, coordinate geometry, circle theorems, trigonometry, vectors, probability and statistics, marked instantly, with a report that shows which topics are secure and which need work.
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What it covers
The test is written for the start of Year 11 of Cambridge IGCSE 0580 Extended. It covers the Cambridge IGCSE Extended content usually taught in Year 10: surds, growth and decay, algebraic fractions, quadratics, proportion, functions, coordinate geometry, circle theorems, trigonometry, vectors, probability and statistics. Each question is tagged with the topic it tests, so the report maps straight onto the course:
| Question topic | Cambridge 0580 sub-topic | Tier |
|---|---|---|
| Surds | E1.18 Surds | Extended |
| Exponential decay | E1.17 Exponential growth and decay | Extended |
| Upper and lower bounds | C1.10 / E1.10 Limits of accuracy | Core and Extended |
| Fractional and negative indices | C2.4 / E2.4 Indices II | Core and Extended |
| Algebraic fractions | E2.3 Algebraic fractions | Extended |
| The quadratic formula | C2.5 / E2.5 Equations | Core and Extended |
| Completing the square | C2.5 / E2.5 Equations | Core and Extended |
| Inverse proportion | E2.8 Proportion | Extended |
| Composite functions | E2.13 Functions | Extended |
| Inverse functions | E2.13 Functions | Extended |
| Length of a line segment | E3.4 Length and midpoint | Extended |
| Perpendicular gradients | E3.7 Perpendicular lines | Extended |
| Circle theorems | E4.8 Circle theorems II | Extended |
| Surface area of a sphere | C5.4 / E5.4 Surface area and volume | Core and Extended |
| The sine rule | E6.5 Non-right-angled triangles | Extended |
| The cosine rule (angles) | E6.5 Non-right-angled triangles | Extended |
| Trigonometric equations | E6.4 Trigonometric functions | Extended |
| Magnitude of a vector | E7.3 Magnitude of a vector | Extended |
| Conditional probability | E8.4 Conditional probability | Extended |
| Estimating the mean of grouped data | C9.3 / E9.3 Averages and measures of spread | Core and Extended |
From our maps of the official specification and syllabus. Tick off each point on the 0580 syllabus checklist.
How it works
- 20 questions, four options each, one mark per question, about 40 minutes. Calculator allowed.
- Online or on paper, alone or with a class: how the baseline tests work, and the questions students and teachers ask.
Two sample questions
These are like the questions in the test, with different numbers. They are not in the test itself.
Sample 1 · Composite functions
\(f(x) = 3x + 2\) and \(g(x) = x^2 - 4\). Find \(fg(3)\).
- \(117\)
- \(17\)
- \(55\)
- \(16\)
Show the answer and working
Answer: B
Inside first: \(g(3) = 5\), then \(f(5) = 17\).
A is what you get if you worked out g(f(x)): the wrong order. C is what you get if you multiplied f(a) by g(a). D is what you get if you added f(a) and g(a).
Sample 2 · Length of a line segment
What is the distance between \((1, 1)\) and \((7, 9)\)?
- \(10\)
- \(14\)
- \(100\)
- \(11\)
Show the answer and working
Answer: A
\(d = \sqrt{(6)^2 + (8)^2} = \sqrt{100}\).
B is what you get if you added the differences instead of using Pythagoras. C is what you get if you forgot the square root. D is what you get if you added the coordinates instead of subtracting.
What the report looks like
Example report (made-up results for one student):
Score 13 / 20 (65%)
- SurdsGap
- Exponential decayGap
- Upper and lower boundsDeveloping
- Fractional and negative indicesDeveloping
- Algebraic fractionsSecure
- The quadratic formulaSecure
Questions students and teachers ask
Which test should my class take?
Match the tier your students are working towards: the Core test for Cambridge 0580 Core, the Extended test for Extended. The Year 10 tests cover the Key Stage 3 maths IGCSE builds on; the Year 11 tests cover the Year 10 content.
Other free baseline tests
- IGCSE Maths (4MA1): start of Year 11 baseline · Start of Year 11
- Cambridge IGCSE 0580 Core: start of Year 11 baseline · Start of Year 11
- Cambridge IGCSE 0580 Extended: start of Year 10 baseline · Start of Year 10
What else is free here
- IGCSE revision notesEvery sub-topic in plain English, with a worked example.
- Past papersLinks to the boards' own papers and mark schemes, with a timer.
- Free formula sheets (PDF)4MA1 and 0580, with the formulas you must learn marked.
- Daily and weekly questionsOne short question a day to keep every topic fresh.
Choosing a tier? 0580 Core or Extended: how to choose.