Year 10 Surds Worksheets (GCSE) | Printable PDFs
Year 10 Surds worksheets for Year 10 Maths (Key Stage 4, GCSE). Year 10 students learn how to work with surds, which are roots that cannot be simplified to whole numbers. The exercises below practise simplifying surds into their simplest form. For example √50 = 5√2.
The surds worksheets below also practise adding and subtracting similar surds. For example, 3√2 + 4√2 = 7√2. They also practice multiplying and dividing surds. For example 3(√2 + 4) = 3√2 + 12. To practise rationalising the denominator see Year 11 Surds Worksheets.
Sign Up to Unlock 10 Free Answers Every Month
For more Surds Worksheets, see Year 11 Surds Worksheets
Common Questions about Year 10 Surds
What is a surd?
A surd is an irrational root that cannot be written exactly as a terminating or recurring decimal, such as √2 or √5.How do you simplify a surd?
Look for a square factor inside the root, then take its square root outside. For example, √18 = 3√2.Why do we use surds?
Surds keep answers exact, which is useful when decimals would only give an approximation.
Year 10 Surds Common Mistakes
Common Mistake 1
A common mistake is assuming every square root is a surd, even though roots such as √4, √9 and √25 simplify to whole numbers.Common Mistake 2
Students often miss square factors when simplifying surds, such as leaving √18 instead of simplifying it to 3√2.Common Mistake 3
Another common mistake is treating surds like ordinary numbers, for example incorrectly writing √2 + √3 = √5.
Surds Worksheets - Free Worksheets Above
Surds (A)
Surds (B)
Surds (D)