Exponential relationships — Topic Review | Year 10

QUICK RECAP

Connect the ideas

Choose an index law from the operation; do not apply product laws to sums.

Fractional powers connect with roots. Keep even-root domains and log inputs valid.

Simplify surds exactly and rationalise using equivalent fractions.

Exponential change multiplies by a fixed factor over equal input intervals.

Logarithms invert powers; logarithmic scale differences describe ratios.

Use graphs, tables and context to choose and check a model; round at the end.

Complete each paper and show your working.

Exponential relationships — practice test 1
16 questions · 42 marks · 60 minutes · Scientific calculator
Original progressive questions on exact surds, indices, graphs and exponential/logarithmic reasoning.
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Exponential relationships — practice test 2
16 questions · 47 marks · 60 minutes · Scientific calculator
Original progressive questions on exact surds, indices, graphs and exponential/logarithmic reasoning.
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Exponential relationships — applications test
16 questions · 53 marks · 60 minutes · Scientific calculator
Apply exact arithmetic, models and logarithmic reasoning to varied contexts with all data supplied.
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