Exam style questions - Hodder Plus Home

a How far does Tom live from school [1]
b Write down the time that Tom arrives at the
school. [1]
c Tom stopped three times on the journey. For
how many minutes was he at the last stop [1]
d Calculate his speed in km/h between 8.20 a.m.
and 8.30 a.m. [3]
3 Steve goes from home to school by walking to a
bus stop and then catching a school bus.
Use the information below to construct a
distance–time graph for Steve’s journey.
Steve left home at 8.00 a.m.
He walked at 6 km/h for
10 minutes.
He then waited for 5 minutes before
catching the bus.
The bus took him a further 8 km to
school at a steady speed of 32 km/h. [4]
4 The graph below describes a real-life situation.
Describe a possible situation that is occurring. [3]
b x = −1.8 and x = 2.8
y
9
8
y x 2 x 3
7
6
5
4
3
y 2
2 1
2
1
0
x
1 2 3 4
1
2
3
Speed
Time
Now try these exam questions
1 a Complete the table of values and draw the
graph of y = x 2 − 2x + 1 for values of x from
−1 to 3. [2]
Quadratic graphs
Here is an exam question …
a Make a table of values and draw the graph of
y = x 2 − x − 3 for values of x from −2 to 4. [4]
b Use your graph to solve the equation
x 2 − x − 3 = 2. [2]
… and its solution
a
x −2 −1 0 1 2 3 4
x 2 4 1 0 1 4 9 16
−x 2 1 0 −1 −2 −3 −4
−3 −3 −3 −3 −3 −3 −3 −3
y 3 −1 −3 −3 −1 3 9
x –1 0 1 2 3
y 1 4
b Use the graph to find the value of x when
y = 3. [2]
2 a Complete the table for y = 4x − x 2 and draw
the graph. [4]
x −1 0 1 2 3 4 5
y 3 0
b Use your graph to find
i the value of x when 4x − x 2 is as large as
possible. [1]
ii between which values of x the value of
4x − x 2 − 2 is larger than 0. [2]
More exam practice
1 a Complete the table and draw the graph of
y = x 2 − 4 for values of x from −3 to 3. [4]
x −3 −2 −1 0 1 2 3
y 5 −3 −4 0
b Use your graph to find the solutions of the
equation x 2 − 4 = 0. [2]
© Hodder Education 2011 Unit C
59