Grade B
1.
Make a the subject of the formula
a s = 4 + 8u
a = ............................. (Total 2 marks)
2.
Make a the subject of the formula
2(3a − c) = 5c + 1
…………………….. (Total 3 marks)
3.
(a)
Expand and simplify
(x – y)
2
................................................ (2)
(b)
Rearrange a(q – c) = d to make q the subject.
q = .......................................... (3) (Total 5 marks)
The Winston Churchill School
1
4.
Make u the subject of the formula D = ut + kt
2
u = ................................... (Total 2 marks)
Grade A 5.
P = πr + 2r + 2a P = 84 r = 6.7
(a)
Work out the value of a. Give your answer correct to 3 significant figures.
a = ……………….. (3)
(b)
Make r the subject of the formula P = πr + 2r + 2a
r = …………………… (3) (Total 6 marks)
x= 6.
p−q pq 5
p = 4 × 10 4 q = 1.25 × 10 (a)
Calculate the value of x. Give your answer in standard form.
……………………………… (2)
(b)
Make q the subject of the formula
x=
p−q pq
q = ……………………………. (4) (Total 6 marks)
7.
The fraction, p, of an adult’s dose of medicine which should be given to a child who weighs w kg is given by the formula
p=
(a)
Use the formula adult’s dose.
p=
3w + 20 200
3w + 20 200 to find the weight of a child whose dose is the same as an
……………………… kg (3)
(b)
3w + 20 p= 200 Make w the subject of the formula
w = ………………………… (3) The Winston Churchill School
3
3w + 20 A 200 = A + 12 (c)
Express A in terms of w.
A = ……………………… (4) (Total 10 marks)
8.
Make x the subject of 5(x – 3) = y(4 – 3x)
x = ..................................... (Total 4 marks)
9.
P=
n2 + a n+a
Rearrange the formula to make a the subject. a =..................................... (Total 4 marks)