Edexcel IGCSE Maths (4MA1) · Unit 1: Number
Surds questions with full solutions for Pearson Edexcel International GCSE Mathematics A (4MA1), Higher tier. Read the worked example first, then try the 3 exam-style questions yourself and check your working against the mark scheme.
Simplify \(\sqrt{75}+\sqrt{12}\).
Answer: \(7\sqrt{3}\)
Try each question before you open the answer. The mark schemes use Edexcel-style marks: M for method, A for accuracy (after the method mark), B for an independent result.
Write \(\sqrt{75}\) in the form \(k\sqrt{3}\), where \(k\) is an integer.
Answer: \(5\sqrt{3}\)
Rationalise the denominator and simplify fully \(\dfrac{12}{\sqrt{6}}\).
Answer: \(2\sqrt{6}\)
Show that \((\sqrt{18}+\sqrt{8})^2 = 50\). Show each stage of your working clearly.
Answer: 50 (shown)
Every question and worked example here is original, written for IGCSE Math Revision rather than copied from Pearson papers, and each answer was re-solved independently before publishing.
Either Higher tier paper, 1H or 2H, can test surds: both cover the whole Pearson Edexcel International GCSE Mathematics A (4MA1) specification and both allow a calculator. Show your method, because most marks are for working.
In the IGCSE student hub: Unit 1 (Number) has more exam-style questions on this topic, each with a mark scheme. Practice starts with a 7-day free trial; the worked examples and questions on this page are free.
IGCSE Math Revision