Maths GCSE Higher
1.
Formulae and Substitution Homework
An approximate rule for converting degrees Fahrenheit into degrees Centigrade is
C
F – 30
2
Use this rule to convert 22°F into °C.
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Answer ...................... degrees Centigrade
(Total 2 marks)
2.
Use the formula
v = u + at
to find the value of v when u = –10, a = 1.8 and t = 3.7
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Answer ……………………………………
(Total 2 marks)
3.
(a)
Use the formula a = 5b + 2c to work out a when b = 3 and c = –4
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Answer .........................................................................
(2)
(b)
Use the formula a = 5b + 2c to work out c when a = 16 and b = 2
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Answer .........................................................................
(3)
(Total 5 marks)
Howden School
1
4.
(a)
Find the value of 3x + 4y
(i)
when x = 2 and y = 5
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Answer ...........................................................
(2)
(ii)
when x = 6 and y = –3
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Answer ...........................................................
(2)
(b)
Find the value of a3 + b2 when a = 2 and b = 5
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Answer ...........................................................
(2)
(Total 6 marks)
5.
Here is a formula
P = 10(x – y)
Find the value of P when
(a)
x = 8 and y = 2
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Answer P = ..............................................................
(2)
(b)
x = 9.6 and y = 5.4
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Answer P = ..............................................................
(2)
(Total 4 marks)
Howden School
2
6.
If x = 5 and y = – 7, find the value of
(a)
4x + 3y
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Answer...............................................................................
(2)
x– y
4
(b)
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Answer...............................................................................
(2)
(Total 4 marks)
7.
(a)
Find the value of a3 when a = 4
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Answer ............................................
(1)
(b)
Find the value of 5x + 3y when x = –2 and y = 4
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Answer ............................................
(2)
(c)
There are p seats in a standard class coach and q seats in a first class coach.
A train has 5 standard class coaches and 2 first class coaches.
Write down an expression in terms of p and q for the number of seats in the train.
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Answer ............................................
(2)
(Total 5 marks)
Howden School
3
8.
Find the exact value of
1
1
+
a
b
when a = 0.5 and b = 2
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Answer ....................................................
(Total 2 marks)
9.
You are given that
m = 3 , p = 1 and t = 2
4
2
Find the value of
(a)
mp + t
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Answer ............................................
(2)
(b)
m p
t
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Answer ............................................
(2)
(Total 4 marks)
Howden School
4