Question 1 of 3 · No calculator needed
Put -2.07, -2.7, -2.17 and -2.071 in ascending order.
Ascending means smallest to largest. For negative numbers, the value furthest below zero is smallest: -2.7 < -2.17 < -2.071 < -2.07.
Cambridge IGCSE · International GCSEMathematics,
Mathematics,
one step at a time.
Specification 0580. Explore a topic, practise the skill, and see where to focus next.
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Question 2 of 3 · No calculator needed
Work out 27^(2/3).
The denominator 3 means take the cube root and the numerator 2 means square: 27^(2/3) = (∛27)² = 3² = 9.
Question 3 of 3 · No calculator needed
In triangle ABC, a = 8 cm is opposite A = 30°, and b is opposite B = 45°. Find b exactly.
Using the sine rule, b/sin45° = 8/sin30°. Thus b = 8(√2/2)/(1/2) = 8√2 cm.
These tiles show your answers to three questions. They are a starting point, not a mastery score or grade prediction.
Number
Correct answer: -2.7, -2.17, -2.071, -2.07
Ascending means smallest to largest. For negative numbers, the value furthest below zero is smallest: -2.7 < -2.17 < -2.071 < -2.07.
Algebra and graphs
Correct answer: 9
The denominator 3 means take the cube root and the numerator 2 means square: 27^(2/3) = (∛27)² = 3² = 9.
Trigonometry
Correct answer: 8√2 cm
Using the sine rule, b/sin45° = 8/sin30°. Thus b = 8(√2/2)/(1/2) = 8√2 cm.
For parents: look at the explanation together. A correct answer is encouraging; a missed answer gives you something specific to work on. Broader practice over time is needed to understand progress.
YOUR TOPIC MAP
9 areasFind your starting point.
01Number
Specification reference: 0580 1
Number requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Number requires. Keep exact values until the final step and check signs, units and reasonableness.
02Algebra and graphs
Specification reference: 0580 2
Algebra and graphs requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Algebra and graphs requires. Keep exact values until the final step and check signs, units and reasonableness.
03Coordinate geometry
Specification reference: 0580 3
Coordinate geometry requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Coordinate geometry requires. Keep exact values until the final step and check signs, units and reasonableness.
04Geometry
Specification reference: 0580 4
Geometry requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Geometry requires. Keep exact values until the final step and check signs, units and reasonableness.
05Mensuration
Specification reference: 0580 5
Mensuration requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Mensuration requires. Keep exact values until the final step and check signs, units and reasonableness.
06Trigonometry
Specification reference: 0580 6
Trigonometry requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Trigonometry requires. Keep exact values until the final step and check signs, units and reasonableness.
07Transformations and vectors
Specification reference: 0580 7
Transformations and vectors requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Transformations and vectors requires. Keep exact values until the final step and check signs, units and reasonableness.
08Probability
Specification reference: 0580 8
Probability requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Probability requires. Keep exact values until the final step and check signs, units and reasonableness.
09Statistics
Specification reference: 0580 9
Statistics requires the correct mathematical rule, exact working and a final check that the result satisfies the conditions in the question.
Watch for: Do not select a familiar formula before identifying what Statistics requires. Keep exact values until the final step and check signs, units and reasonableness.
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Cambridge IGCSE · International GCSE · Mathematics · 0580
Version 3, 2025-2027
Source checked: 2026-08-27. The current official specification controls assessment requirements and option choices.
Can parents and students try LearningP before signing up?
Yes. This page offers three original questions from three different skills on this exact course. Each answer has an explanation, followed by a sample heatmap showing what was correct and what to revisit. No account is needed, and taster answers are not saved.
What does the three-question heatmap tell a parent?
It shows the outcome of these three answers and gives a specific skill to discuss or practise next. It is not a full assessment, a mastery score or a grade prediction. Broader practice over time is needed to understand progress.
What does the Cambridge IGCSE International GCSE Mathematics route cover?
LearningP currently maps 9 assessed areas for specification 0580. The visible topic map below is derived from the verified route; the current official specification remains controlling.
How many LearningP questions support this route?
The verified source bank contains 201 original LearningP question records for this route. Every mapped area meets the current publication minimum and passed the latest blocker and review audit.
Does LearningP reproduce official exam questions?
No. LearningP uses official specifications and assessment materials to map content and demand, while its practice questions and explanations are independently authored.
Can this page predict an exam grade?
No. LearningP reports practice evidence, coverage, strengths and gaps. It does not guarantee or automatically predict examination outcomes.
Where should current assessment information be checked?
Use the official Cambridge IGCSE specification and assessment-resource pages linked on this page, together with information supplied by the learner’s school.
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