Rearrange the subject of the formula
Question 1
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National curriculum reference: NA5g
Date: June 1999
Paper: 5
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Make x the subject of the formula
y
x2  4
5
(3 marks)
Question 2
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National curriculum reference: NA5g
Date: June 2000
Paper: 6
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t
8( p  q)
pq
p = 2.71
q = 3.97
(a) Calculate the value of t.
Give your answer to a suitable degree of accuracy.
(b) Make q the subject of the formula
t
8( p  q)
pq
q = ........................................
(4 marks)
Question 3
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National curriculum reference: NA5g
Date: November 2000
Paper: 5
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Make t the subject of the formula
v = u + 10t
t = .................................
(2 marks)
Question 4
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National curriculum reference: NA5g
Date: November 2000
Paper: 6
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Rearrange
4y = k(2  3y)
to write y in terms of k.
y = .......................
(4 marks)
Question 5
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National curriculum reference: NA5d,5g
Date: June 2001
Paper: 5
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(a) Simplify
(b)
(3xy3)4
(2 marks)
 x 4

  2y
 5 
Rearrange this formula to give x in terms of y.
(3 marks)
Question 6
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National curriculum reference: NA5g
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Date: November 1997
Paper: 3
(a) Make y the subject of the equation x + 2y = 6
(b) On the grid, draw the line with equation x + 2y = 6
(c) On the grid, shade the region for which x + 2y  6, 0  x  4 and y  0.
Question 7
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National curriculum reference: NA5g
Date: January 2003
Paper: 13
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Make m the subject of the formula 2(2p + m) = 3  5m
m = ........................
(3 marks)
Question 8
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National curriculum reference: NA5g
Date: March 2003
Paper: 13
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Make t the subject of the formula v = 5t + u
t = ........................
(2 marks)
Question 9
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National curriculum reference: NA5e,NA5g
Date: June 2003
Paper: 19
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A straight line has equation y = 12 x +1
The point P lies on the straight line.
P has a y-coordinate of 5.
(a) Find the x-coordinate of P.
...............................
(2 marks)
(b) Rearrange y = 12 x +1 to make x the subject.
...............................
(2 marks)
Question 10
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National curriculum reference: NA5g
Date: June 2002
Paper: 6
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Make x the subject of the formula y 
x
ax
x = ........................
(3 marks)
Question 11
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National curriculum reference: NA5e
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Date: November 2002
Paper: 5
Rearrange
4(x  2) = y (3  5x)
to make x the subject.
x = ........................
(4 marks)
Question 12
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National curriculum reference: NA5k
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(a) Factorise
x2  4x  21
(b) Simplify
1
3

( x  2) ( x  1)
(c) Make f the subject of the formula
1 1 1
 
u v f
Date: November 1997
Paper: 6