Questions: Surds
Pick a question type. Each time you get new numbers. Free ones are marked free.
Simplifying surds
- Simplify a surdSimplify, 2 marks, free, Higher tier
- Simplify a surd with a large square factorSimplify, 2 marks, free, Higher tier
- Which of these is not a surd?Choose, 1 mark, free, Higher tier
- Add and subtract like surdsSimplify, 1 mark, free, Higher tier
- Simplify, then addSimplify, 2 marks, free, Higher tier
- Simplify three surdsSimplify, 3 marks, free, Higher tier
- Write a√b as one square rootWrite, 1 mark, free, Higher tier
- Which surd is bigger?Choose, 1 mark, free, Higher tier
- Find the number in frontWork out, 2 marks, free, Higher tier
- Put surds in orderChoose, 1 mark, free, Higher tier
Multiplying and expanding surds
- Multiply two surdsSimplify, 2 marks, free, Higher tier
- Surds that multiply to a whole numberWork out, 2 marks, free, Higher tier
- Multiply surds with numbers in frontSimplify, 2 marks, free, Higher tier
- Square a surd termWork out, 1 mark, free, Higher tier
- Divide surdsSimplify, 2 marks, free, Higher tier
- Expand a bracket with a surdExpand, 2 marks, free, Higher tier
- Expand two brackets with surdsExpand, 3 marks, free, Higher tier
- Square a bracket with a surdExpand, 2 marks, free, Higher tier
- A product with no surd leftWork out, 2 marks, free, Higher tier
- Expand and give p and qExpand, 3 marks, free, Higher tier
Rationalising the denominator
- Rationalise a/√kRationalise, 2 marks, Plus, Higher tier
- Rationalise a/(b√k)Rationalise, 2 marks, Plus, Higher tier
- Rationalise a/(b + √k)Rationalise, 3 marks, Plus, Higher tier
- Rationalise a/(√k − b)Rationalise, 3 marks, Plus, Higher tier
- What do you multiply by to rationalise?Choose, 1 mark, Plus, Higher tier
- Write (a + √k)/√k as p + q√kRationalise, 3 marks, Plus, Higher tier
- A conjugate that gives whole numbersRationalise, 3 marks, Plus, Higher tier
- Add fractions with surdsSimplify, 3 marks, Plus, Higher tier
- Write a/√k in the form b√kWrite, 2 marks, Plus, Higher tier
Exact answers with surds
- An exact hypotenuseFind, 3 marks, Plus, Higher tier
- An exact shorter sideFind, 3 marks, Plus, Higher tier
- Diagonal of a rectangle with surd sidesFind, 3 marks, Plus, Higher tier
- Area of a rectangle with surd sidesWork out, 3 marks, Plus, Higher tier
- Perimeter of a square from its areaWork out, 3 marks, Plus, Higher tier
- Quadratic solutions in surd formSolve, 3 marks, Plus, Higher tier
- Solve an equation with a surd coefficientSolve, 3 marks, Plus, Higher tier
- Show a squared bracket has a given formShow that, 2 marks, Plus, Higher tier
- The diagonal of a squareWork out, 2 marks, Plus, Higher tier
- Area of a triangle with surd lengthsWork out, 3 marks, Plus, Higher tier
- The exact distance between two pointsFind, 3 marks, Plus, Higher tier
- Exact area of a circle with a surd radiusWork out, 2 marks, Plus, Higher tier
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