Mathematics Problems for 12 - 16 year olds


Ancient Egyptian Mathematics Problems No. Two



This section is a brief test to see if you could survive in the
world of Egytian numerals and mathmatics. To find out if you
have passed the test, email me to check your answers.


Problem 1.

If pyramids have bricks
How many bricks are needed to build pyramids?


Problem 2.

If bucket of food feeds camels for days.

How many buckets are needed to feed camels for day?



Problem 3.

The kings of Megiddo and Kadesh are preparing to invade Egypt.
But pharaoh Thutmose III has decided to cross the Sinai desert
and attack his enemies before they are ready.

He is taking men with him.
It takes him days to cross the desert
and each man needs litres of water per day.

How much water will he need to take?



Problem 4.

Before Thuthmose and his army reach Aaruna, at the foot of the
hills in which Meggiddo stands, he is going to send men
to reconnoitre a narrow pass.

The expedition is expected to last days. They are using camels
to carry their food and water. Each person needs kilogram of
food and litres of water per day, and each camel needs
kilograms of food per day (they don't need anything to
drink because they're camels, and camels don't get thirsty
very often).
If each camel can carry kilograms and the rest of
the expedition equipment weighs kilograms.

How many camels are needed to carry the water, food and
equipment?
(The density of water in ancient Egypt was kilogram per litre)



Problem 5a.

An Egyptian wants to build a pyramid in his back garden to bury
his favourite cat.

His garden is meters wide and meters long.
He has goats which each need square metres of
land to graze on and camels which each need square
meters of land to garze on.

If his pyramid has a square base what is the maximum length
of one side of the pyramid?



Problem 5b

What will the surface area of the pyramid be if the angle of
elevation is degrees and the pyramid is smooth?

(ignore the base of the pyramid as that is on the ground)

Give the answer as a whole number.



Problem 5c.

The Egyptian wants to paint the pyramid black (his cat was black)
and a barrel of tar covers square metres how many barrels
of tar will he need to buy ?
(unfortunately the market only sells full barrels)




E-mail me to check your answers

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