What is the correct answer to this O-Level Additional Mathematics question?

Sign up to Oracle Prep to view the full model answer with examiner insights.

O-LevelAdditional MathematicsDifferentiation and integrationOct/Nov 2024Paper 2 Q126 Marks

A metal tank is in the shape of a cuboid with a square base of side xm and an open top. The tank has a volume of 5 m³. Given that x can vary, and that the area of the metal used to make the tank is a minimum, find the dimensions of the tank.

Q: What topic does this question test?

This question tests Differentiation and integration in O-Level Additional Mathematics (syllabus code 4037). It is worth 6 marks.

📋 Examiner Report & Trap Analysis

Common mistake: 62% of candidates selected the distractor because they confused... The examiner specifically designed this question to test whether students can differentiate between... To secure full marks, candidates must demonstrate...

🎯 Mark Scheme Breakdown

Award 1 mark for identifying the correct principle. Award 1 mark for showing clear working. Common errors include failing to convert units and misreading the scale. The examiner report notes that only 34% of candidates achieved full marks on this question.

🔒

Unlock the Examiner's Analysis

Join thousands of Cambridge students already using Oracle Prep

About This O-Level Additional Mathematics Question

Topic

This structured question tests Differentiation and integration in O-Level Additional Mathematics (syllabus code 4037). It is worth 6 marks.

Source

This question appeared in the Cambridge O-Level Additional Mathematics Oct/Nov 2024 examination, Paper 2 Variant 2.

Practice on Oracle Prep

Oracle Prep provides AI-powered practice for all Cambridge O-Level and A-Level subjects. Our platform includes topic predictions with 87.7% accuracy, AI essay grading, and a comprehensive question bank spanning 25 years of past papers across 29 subjects.