UK GCSE Β· GCSE Mathematics (Higher Tier)

Number, Surds, Indices and Bounds

14 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 14 questions

  1. Simplify fully.
  2. Rationalise the denominator of and simplify completely.
  3. Evaluate .
  4. A quantity . Given that rounded to 2 significant figures and rounded to 1 decimal place, calculate the upper bound of .
  5. Express the recurring decimal as a fraction in its lowest terms.
  6. Given that , find all possible values of .
  7. Write in standard form.
  8. Write in the form .
  9. Work out the value of .
  10. and , both rounded to 1 decimal place. Which calculation gives the upper bound of ?
  11. Write (that is ) as a fraction in its simplest form.
  12. Simplify .
  13. Rationalise the denominator of and simplify.
  14. What is the highest common factor (HCF) of 84 and 126?

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