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AQA GCSE higher specimen paper 1: Question 28

When performing live calculations of examples of questions for the students, I shall begin by writing down an approach to how they should tackle the problem. This will only take a minute and I’ve found doing...
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Answered by Andrew R. • Maths tutor
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Integrate x*ln(x) with respect to x

First identify that integration by parts is required. Then seperate the integration so u = ln(x) dv/dx = x then, du/dx = 1/x v = (1/2)x^2 . And using the integration by parts formula with these substitutions...
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Answered by Ana S. • Maths tutor
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Solve the following simultaneous equations: 2y+x=8 , 1+y=2x

This is a very common type of question that might be asked in an exam and there are 3 methods we could use to solve this; by substitution, by elimination (or subtraction) or by using straight line graphs. Th...
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Answered by Ben R. • Maths tutor
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Expand and simplify 2y+3y(5y+3)

BIDMAS Following BIDMAS, multiply the bracket out before the addition of the 2y. 3y(5y+3) = 15y 2 +9y adding the 2y gives the calculation of 15y 2 + 9y +2y = 15y 2 + 11y
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Answered by Emma S. • Maths tutor
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Derive the following with respect to x1: y=(x1*x2)/(x1+x2).

y is a function of x 1 and x 2 . We are asked to derive y with respect to x 1 , meaning that x 2 remains constant. Note that y ' is the derivative of y. Both the numerator and denominator of the fraction con...
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Answered by Thaleia K. • Maths tutor
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