Free Cambridge IGCSE 0580 Extended baseline test: start of Year 10
Find out where a student is starting from at the start of Year 10. 20 multiple-choice questions on the Key Stage 3 maths Cambridge IGCSE Extended builds on, at a higher level: number, indices, algebra, equations and inequalities, graphs, mensuration, trigonometry, statistics and probability, 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 10 of Cambridge IGCSE 0580 Extended. It covers the Key Stage 3 maths Cambridge IGCSE Extended builds on, at a higher level: number, indices, algebra, equations and inequalities, graphs, mensuration, trigonometry, statistics and probability. Each question is tagged with the topic it tests, so the report maps straight onto the course:
| Question topic | Cambridge 0580 sub-topic | Tier |
|---|---|---|
| Order of operations | C1.6 / E1.6 The four operations | Core and Extended |
| Dividing fractions | C1.4 / E1.4 Fractions, decimals and percentages | Core and Extended |
| Reverse percentages | C1.13 / E1.13 Percentages | Core and Extended |
| Sharing in a ratio | C1.11 / E1.11 Ratio and proportion | Core and Extended |
| Standard form | C1.8 / E1.8 Standard form | Core and Extended |
| Fractional indices | C1.7 / E1.7 Indices I | Core and Extended |
| Expanding double brackets | C2.2 / E2.2 Algebraic manipulation | Core and Extended |
| Factorising quadratics | C2.2 / E2.2 Algebraic manipulation | Core and Extended |
| Equations with fractions | C2.5 / E2.5 Equations | Core and Extended |
| Linear inequalities | C2.6 / E2.6 Inequalities | Core and Extended |
| Rearranging formulae | C2.2 / E2.2 Algebraic manipulation | Core and Extended |
| The nth term | C2.7 / E2.7 Sequences | Core and Extended |
| Equation of a straight line | C3.5 / E3.5 Equations of linear graphs | Core and Extended |
| Area of a circle | C5.3 / E5.3 Circles, arcs and sectors | Core and Extended |
| Surface area of a cylinder | C5.4 / E5.4 Surface area and volume | Core and Extended |
| Pythagoras' theorem | C6.1 / E6.1 Pythagoras' theorem | Core and Extended |
| Finding an angle | C6.2 / E6.2 Right-angled triangles | Core and Extended |
| Mean from a frequency table | C9.3 / E9.3 Averages and measures of spread | Core and Extended |
| Combined events | C8.3 / E8.3 Probability of combined events | Core and Extended |
| Interquartile range | 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 · Fractional indices
Find the exact value of \(27^{\frac{4}{3}}\).
- \(81\)
- \(36\)
- \(\frac{1}{81}\)
- \(243\)
Show the answer and working
Answer: A
Root first, then power: \(27^{\frac{4}{3}} = 81\).
B is what you get if you treated the power as a multiplier. C is what you get if you took the reciprocal when the power was positive. D is what you get if you applied the root and power incorrectly.
Sample 2 · Linear inequalities
Solve the inequality \(-4x + 9 < 21\).
- \(x < -3\)
- \(x > -\frac{15}{2}\)
- \(x > -3\)
- \(x < -\frac{15}{2}\)
Show the answer and working
Answer: C
Collect terms: \(-4x < 12\). Dividing by a negative number reverses the inequality. So \(x > -3\).
A is what you get if you did not reverse the inequality when dividing by a negative. B is what you get if you moved a number across without changing its sign. D is what you get if you two errors: sign of a number and the direction.
What the report looks like
Example report (made-up results for one student):
Score 13 / 20 (65%)
- Order of operationsGap
- Dividing fractionsGap
- Reverse percentagesDeveloping
- Sharing in a ratioDeveloping
- Standard formSecure
- Fractional indicesSecure
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 10 baseline · Start of Year 10
- Cambridge IGCSE 0580 Core: start of Year 10 baseline · Start of Year 10
- Cambridge IGCSE 0580 Extended: start of Year 11 baseline · Start of Year 11
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.