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TUTORIAL 1.1PROBLEM SOLVING
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QUESTION 1 :THE KING’S ELEPHANT
PROBLEMOnce upon a time the king of Siam asked his warriors to
measure the weight of an elephant. However the weight
of the elephant was too heavy to be measured by the
biggest weighing machine available. Your task is to help
the warriors to solve the problem.
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1. UNDERSTAND THE PROBLEM
The warriors needs to find the weight of the weight of the elephant but the weight
of the elephant was too heavy to be measured by the biggest weighing machineavailable.
2. DEVICE A PLAN
Guess and check method can be carried out to find the weight of the
elephant.The weight of the elephant can be estimate by using the volume of
water.
3. CARRY OUT THE PLAN
Fill a tank with water which has more mass than the elephant.Then place theelephant using crane and put into the tank from top.Then collect the water splash
out from the tank into another glass container .Therefore the mass of water
splash out from the tank is equal to the mass of the elephant.So, the mass of the
elephant can be estimate using this method successfully.
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WAYS TO CONDUCT
(IN DIAGRAM FORM)
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• Step 1
FILL A TANK WITH
WATERWHICH HASMORE MASS
THAN THEELEPHANT
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• Step 2
Then place the elephant usingcrane and put into the tank
from top.
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• Step 3
Measure the water that splash out from the big water tank
when elephant is place inside the tank.
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QUESTION 2 : ABUNAWAS’S PROBLEM
• In one of the stories in ‘one thousand and one Night’, Abu
Nawas would only allow any traveler to fetch water from
the only well in the desert after solving the following
problem:
• The travelers were given a 3 litre container and a 5 litre
container.They have to measure exactly four and seven
litters of water using the above containers.You are
required to help the travelers to solve the problem.
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1. UNDERSTAND THE PROBLEM
Measure 4 litres of water and 7 litres of water using 3 litres and 5 littres of
containers.
2. DEVICE A PLAN
Use the 3 litres container and 5 litres container to measure 4 and 7 littres
of water.
3. CARRY OUT THE PLAN
Firstly add the 3litre of water from the 3 litre container into a beaker and
then add on 5 litre water from 5 litre container.Now the total amount of the
water in the beaker is 8 litre. So pour only half litre of water to a beaker to
get 4 litre of water. Then add 3 litre of water from the 3 litre container into
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• WAYS TO CONDUCT (IN DIAGRAM FORM)
To get 4 liter of water
†
3 litre 5 litre8 litre (take half) = 4 litre
A
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To get 7 litre of water
Method 1 Add on 3 litre of water to container A which containing 4 litre of
water to get 7 litre of water.
A
8 litre (half taken) =
remaining 4 litre
†
3 litre 7 litre
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Method 2
†
(i)
5 litre3 litre (i)
2 litre[remaining]
5 litre
=
7 litre