Exam style questions - Hodder Plus Home

6 Equations 1
Here is an exam question …
a Find the values of a and b.
15
31
[2]
b Solve the following equations.
i 6x = 30 [1]
ii x + 5 = 3 [1]
iii
x
4 = 5 [1]
… and its solution
a a = 5, b = 9
b i x = 30 ÷ 6
= 5
ii x = 3 − 5
= − 2
iii x = 5 × 4
= 20
5
4
a
b
7 Coordinates
Here is an exam question …
a Plot the following points on the grid. [3]
y
8
7
6
5
4
3
2
1
0 1 2 3 4 5 6 7 8
A(3, 1), B(7, 3), C(5, 7), D(3, 5),
E(2, 3), F(5, 1), G(2, 7)
b Points A, B and C are three corners of a square.
Write down the coordinates of a point P that
would be the fourth corner of the square. [1]
x
Chief Examiner says
x
means x ÷ 4 and the inverse of ÷ is ×.
4
Now try these exam questions
1 For the given inputs, find the output from these
number machines.
a i 16
ii 9
6
iii 4
b
i 10
ii 19
5
2
[4]
2 Solve the following equations.
a 8x = 32 [1]
b x − 6 = 9 [1]
c x 5 = 7 [1]
3 Given that x = 9 and y = 7, calculate the value
of x 2 − 5y. [2]
4 The formula t = v – u may be used to find the
a
time taken for a car to accelerate from a speed u
to speed v with acceleration a.
Find t when v = 11.9, u = 5.1 and a = 1.7. [3]
5 The cost, C pence, of printing n party invitations is
given by C = 120 + 4n.
Find a formula for n in terms of C. [2]
[3]
… and its solution
a y
8
7 G C
6
5 D
4
3 E
B
2
1 A F
0 1 2 3 4 5 6 7 8
b (1, 5)
x
© Hodder Education 2011 Unit A
5