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Year 10

Exponential and logarithmic relationships

Choose a subtopic, explore its examples and practise with feedback.

Choose a subtopic.

Explore exponential and logarithmic relationships for Year 10. Each subtopic has sample questions and worked answers; choose the skill you want to practise.

01

Matching bases and powers

Matching bases and powers

Examples, answers and practice
02

Substitution and common exponential factors

Optional extension. Substitution and common exponential factors

Examples, answers and practice
03

Infer and compare growth or decay rules using exact common-base values.

Infer and compare growth or decay rules using exact common-base values.

Examples, answers and practice
04

Infer and compare growth or decay rules using exact common-base values.

Infer and compare growth or decay rules using exact common-base values.

Examples, answers and practice
05

Infer and compare growth or decay rules using exact common-base values.

Infer and compare growth or decay rules using exact common-base values.

Examples, answers and practice
06

Exponential graphs and parameters

Exponential graphs and parameters

Examples, answers and practice
07

Logarithmic measurement scales

Logarithmic measurement scales

Examples, answers and practice
08

Lines, intersections and quadratic functions

Lines, intersections and quadratic functions

Examples, answers and practice
09

Lines, intersections and quadratic functions

Optional extension. Lines, intersections and quadratic functions

Examples, answers and practice
10

Lines, intersections and quadratic functions

Optional extension. Lines, intersections and quadratic functions

Examples, answers and practice
11

Infer linear rules and connect them to intersections and models.

Infer linear rules and connect them to intersections and models.

Examples, answers and practice
12

Infer linear rules and connect them to intersections and models.

Infer linear rules and connect them to intersections and models.

Examples, answers and practice

Make, test and investigate.

Predict and investigate function graphs

Predict how changing a parameter will affect the graph. Plot your own test points, reveal the model, record two different parameter runs and explain the evidence.

Guided activity · No grade

Keep exploring.

Year 10 · Finding where two straight lines meet →Year 10 · Solving non-monic quadratics by factorising →Year 10 · Completing the square and using the quadratic formula →Year 10 · Quartiles, interquartile range and box plots →Year 10 · Linked right triangles and changing lengths →