Similar shapes – Area and Volume

I made the following problem to be used with my year 9. The boxed value was an error and they had to correct it. It also gave students a chance to discuss misconceptions.

I tried to include one where students used the Scale factor for length as 2 and the SF for area as 2

One where students correctly worked out SF for volume but then the length was halved not doubled,

Another question I included had the SF for area being used on a volume

then a question with SF for volume being used instead of area.

screen shot 2019-01-09 at 00.18.38

I then started to consider some more challenging questions that combined several ideas involving similar shapes, Scales factors and proportion.

screen shot 2019-01-09 at 00.17.46

screen shot 2019-01-09 at 00.30.48

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