Real numbers — Topic Review | Year 9

QUICK RECAP

Connect the ideas

Rational numbers are exact integer fractions; terminating and recurring decimals are rational.

A positive integer root is rational exactly when its input is a perfect square.

Use neighbouring squares and positive squared trial values to locate roots.

Negative positions reverse the order of their positive magnitudes.

Retain exact values until final rounding and include units.

Group complete root inputs and denominators, then check digital answers against an estimate.

Complete each paper and show your working.

Real numbers — Practice test 1
16 questions · 38 marks · 50 minutes · Scientific calculator
Classification, number-line order, root estimates and exact values.
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Real numbers — Practice test 2
16 questions · 38 marks · 50 minutes · Scientific calculator
Explain classifications and compare exact values with rounded measurements.
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Real numbers — Applications test
16 questions · 43 marks · 60 minutes · Scientific calculator
Use roots, pi, bounds and rounding to make practical decisions.
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