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First of all expand the brackets and simplify the expression given:(4n+1)(4n+1)-(2n-1)= 8n²+8n+1-2n+1= 8n²+6n+2= 2(4n²+3n+1). Since the expression can be factorised with 2...

While I doubt students will ask this exact question, think it provides the basis for what are usually the most difficult questions in GCSE papers, and students would usually be unsure where to start. My i...

(Suppose the coordinates of the point on the circle is (2, 3))To calculate the tangents equation we will first work out it's gradient. The tangent to a circle at a point is perpendicular to the radius of ...

Note that 1/4 as a decimal is 0.25, half of this is 1/8 which is 0.125.Multplying this by 5: we get 0.625

the total number of students in the class would be 12 girls plus 18 boys which is 30 in total. The proportion of the girls would mean dividing the number of girls by the total number of students so 12/3...