Skip to main content
O-LevelAdditional MathematicsDifferentiation and integrationMay/June 2024Paper 2 Q117 Marks

In this question all lengths are in centimetres. The diagram shows a rectangle ABCD with BC = x. The area of the rectangle is 400 cm². Two identical quarter-circles of radius x/2, with centres A and C, are removed from the rectangle to make the shaded shape. Given that x can vary, find the value of x that gives the minimum value of the perimeter of the shaded shape and hence find this minimum value.

✓ Correct Answer

The correct answer is . This question tests the candidate's understanding of differentiation and integration within the Additional Mathematicssyllabus. The examiner's mark scheme requires...

📋 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...

🔒

Unlock the Examiner's Answer

Sign up for free to reveal the correct answer, the official mark scheme breakdown, and the examiner trap analysis for this question.

Sign Up Free to Unlock →

Join thousands of Cambridge students already using Oracle Prep

About This O-Level Additional Mathematics Question

This structured question appeared in the Cambridge O-Level Additional Mathematics (4037) May/June 2024 examination, Paper 2 Variant 1. It tests the topic of Differentiation and integration and is worth 7 marks.

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.

© 2026 Oracle Prep — The AI-Powered Cambridge Exam Engine