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A school has a number of students. One is chosen at random; the probability that the student is female is 2/5. Knowing that there are 174 male students, work out the total number of students in the school.

This is a simple yet standard GCSE question, especially in non-calculator papers. The solution is simple: if the student is picked at random, then the probability 2/5 must represent a ratio where the other s...
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Answered by Adam M. • Maths tutor
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The circle C has centre A (10, 12) and passes through the point B (15, 15). a) Find the length of AB, giving your answer as a simplified surd. b) Hence write down an equation for C in the form (x+c)^2 + (y+d)^2 = r^2.

a) Given two coordinate pairs (x1, y1) and (x2, y2) you can work out the distance AB as sqrt((x1-x2) 2 +(y1-y2) 2 ) - subbing in values gives us sqrt(5 2 +3 2 ) which is equal to sqrt(34) . Despite the quest...
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Answered by Adam M. • ICT tutor
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Q: Choose a poet who reflects on the idea of change. Show how the poet explores the subject in one or more of his/her poems, and explain to what extent your appreciation of the subject is deepened.

(P) Heaney is convincing in his use of the extended metaphor, which brings to life his observation that childhood innocence must give way to adult realism. Just as the berries inevitably rot when picked from...
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Answered by Callum H. • English tutor
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Explain processes of erosion that occur in a river

The first erosional process that occurs in a river is hydralic action, which is where water is forced into cracks in the river bed and channel which compresses trapped air, making the cracks larger which can...
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Answered by Olivia S. • Geography tutor
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Outline two ways in which belief in a just God has an impact on Christians today. (4 marks)

Belief in a just God encourages Christians to act more fairly towards others. This is because they believe they have experienced God's justice and they want others to experience it as well. Christians believ...
RK
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