5.1 Combining skills – using imagination 209
The Stagebus stops for 5 minutes at
each village and takes 1 hour 15 minutes
from leaving Matsberg to arriving at Aaland.
The first Fastrack bus in the morning
leaves Aaland at 8 a.m., and the first
Stagebus leaves Matsberg at 7.45 a.m.
At what time do they pass each other
(to the nearest minute)?
A 8.10 B 8.16 C 8.20
D 8.24 E 8.263 There are four teams in the netball league
on the island of Naldia. In a season, they
play each other once. Three points are
awarded for a win, one for a draw and none
for a loss. At the end of the season, the
points were as follows:
Dunrovia 6
Arbadia 4
Brindling 4
Crittle 2a How many matches were drawn?
b What was the result of the match
between Dunrovia and Crittle?
c If Brindling beat Dunrovia, can you
determine the results of all the matches?
4 Andy, Benita and Chico went out for a meal
together. When the bill came, they thought
they would divide it equally between them.
However, Chico admitted to having chosen
more expensive dishes and noticed that
his total was $3 more than the amount he
would have paid if they split it equally.
If Andy and Benita’s bills were $12
individually, how much was Chico’s?Jeremy, knowing that Emma’s birthday is
12 December, correctly suggested that this
is because a specific number was added
to one of the digits for females.
b (i) How much is added, and to
which digit? [2]
(ii) What is Jocelyn’s date of birth? [1]
c Although never implemented, the
authorities considered identifying
people who had been born outside
Great Britain by using a similar system
to that which identifies gender.
Give an example of how this could have
been done, within the six digits, without
losing any of the existing information. [1]
d Sometimes people tried to use the
driving licence of one of their parents.
Given that a police officer can estimate
a person’s age to within ten years,
what is the chance that the deception
would be noticed from looking at the
person and the number on the driving
licence? [1]
e Using a random number for making
a fake licence for a male, what is the
probability that it would fail to give a
valid month and date (ignoring
the year)? [2]
Cambridge International A & AS Level Thinking
Skills 9694/31 Paper 3 Q2 May/June 2011
2 Fastrack runs a non-stop express service
between Aaland and Matsberg, which
takes 40 minutes. Stagebus offers a
stopping service between the same two
towns, serving three intermediate villages
an equal distance apart.