Paper 2: Pure Mathematics 2 June 2019, Question 1 3 marks
Given
express y as a function of x.
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Core Mathematics 1 June 2015, Question 7 5 marks
Also involves Quadratic equations
Given that y = 2x,
(a)
[1]
express 4x in terms of y.
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(b)
Hence, or otherwise, solve
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Core Mathematics 1 June 2014 (R), Question 2 4 marks
(a)
[2]
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(b)
[2]
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Core Mathematics 1 June 2013, Question 3 5 marks
(a)
[2]
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(b)
[3]
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Core Mathematics 1 June 2013 (R), Question 5 5 marks
Solve
(a)
[1]
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(b)
[4]
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Core Mathematics 1 June 2013, Question 9 10 marks
Also involves Algebraic division
(a)
[3]
Show that f'(x) = 9x–2 + A + Bx2, where A and B are constants to be found.
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(b)
[2]
Find f " (x).
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(c)
[5]
Given that the point (–3, 10) lies on the curve with equation y = f (x),
find f (x).
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Core Mathematics 1 January 2013, Question 2 2 marks
Express 82x
3 in the form 2y, stating y in terms of x.
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Core Mathematics 1 June 2012, Question 2 4 marks
(a)
Evaluate 32(
32 
, giving your answer as an integer.
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(b)
[2]
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Core Mathematics 1 June 2010, Question 2 4 marks
Find
giving each term in its simplest form.
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Core Mathematics 1 June 2010, Question 7 6 marks
Also involves Algebraic division
Given that
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Core Mathematics 1 June 2009, Question 2 3 marks
Given that 32 √ 2 = 2a, find the value of a.
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Core Mathematics 1 January 2009, Question 1 3 marks
(a)
[1]
Write down the value of 125125 
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(b)
[2]
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Core Mathematics 1 January 2009, Question 6 6 marks
Also involves Surds
Given that 
can be written in the form 2xp – xq,
(a)
[2]
write down the value of p and the value of q.
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(b)
[4]
find 
, simplifying the coefficient of each term.
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Core Mathematics 1 June 2008, Question 11 8 marks
The gradient of a curve C is given by 
= 
x 
0.
(a)
[2]
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(b)
[6]
The point (3, 20) lies on C.
Find an equation for the curve C in the form y = f(x).
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Core Mathematics 1 January 2008, Question 2 3 marks
(a)
[1]
Write down the value of 16 
(b)
[2]
Core Mathematics 1 January 2008, Question 5 6 marks
Also involves Surds
(a)
[2]
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(b)
[4]
find 
, simplifying the coefficient of each term.
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