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For this question I would consider different methods for finding the roots of quadratics and remind the student that an exam could ask for a particular method to be used (as on one of the recent GCSE math...

(The full answer produced answer is annotated working out, but since this text box won't let me submit pictures, I'll do my best to transcribe)First, we gather the two fractions by using a common denomina...

S: 900 700D: 2 m/sT: 960s
Need to find speed in seconds so convert 16 mins to seconds.
To find average, we must find time for the first part. Using...

Initially, one might think to use area = 1/2 x base x height, however drawing the triangle immediately shows that this is not possible here. We then think to use the formula for area using two adjacent si...