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10 tutor-authored questions for this Ontario curriculum expectation, ordered easiest to hardest — every one with a full worked solution. Work through them free, no account needed.
Sample: the first question, solved
A circle's radius increases at 3cm/s. Find how fast the area increases when r=4cm (A=πr²).
📘 Worked solution
✓Differentiating A=πr² with respect to time gives dA/dt=2πr(dr/dt); at r=4 with dr/dt=3, dA/dt=2π(4)(3)=24π≈75.40 cm²/s.
And one from the hard end
A 10m ladder's base slides away at 1m/s. Find how fast the top slides down when the base is 6m out.
Solution shown after you try it in practice mode.
Work through all 10, easiest to hardest
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