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GCSE Mathematics › M1.3 Indices, surds and standard form
Free AQA GCSE Mathematics practice questions on Indices, surds and standard form. Sample questions below with detailed mark schemes — sign up to practise the full set with spaced repetition.
A scientist is studying the mass of particles in a laboratory experiment. She measures the mass of a single carbon atom as 1.99 × 10⁻²⁶ kg. She needs to calculate the total mass of a sample containing 5 × 10²³ carbon atoms.
A scientist is studying the spread of bacteria in a laboratory sample. The initial population is 2.5 × 10³ cells. After each hour, the population multiplies by a factor of 2². The scientist needs to express very large numbers and understand how the population grows.
A company installs solar panels on houses. The area of one solar panel is 2.5 × 10⁻¹ m². A house needs enough panels to cover a total area of 1.5 × 10¹ m².
A mathematics student is revising index laws for an exam. They are practising simplifying expressions using the rules of indices instead of calculating large numbers directly.
A computer server stores data in bytes. The capacity of one hard drive is $2^{40}$ bytes. A data centre contains $2^{10}$ identical hard drives.