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Frank Aini School
Entrance Exam for the First Intermediate Grade (French)
Answer only five questions.
Q1: A village woman brought a cage of chicks to sell in the market. She was supposed to sell each chick
for 150 fils, but on the way, 4 chicks escaped from the cage. She was forced to sell each
of the remaining chicks for 180 fils, and thus she obtained the required amount. How many
chicks were there?
Q2: A man gave his younger son 2/9 of the money he had, and gave his older son 3/4 of the remainder, and gave
his daughter what remained after that. If the total amount taken by the two sons was 69 dinars, show the share of each
of them.
Q3: Adel went to a real estate company and liked a rectangular piece of land on a map
drawn to a scale of 1/600. He bought it for 1620 dinars. What is the price per square meter
if its length on that map is 5 centimeters and its width is 3 centimeters?
Q4: Two people participated in a trade, and the total amount the two put into this trade was (1200) dinars,
and their total profit from it was (210) dinars. If the capital of the first with his share of the profit
equals 822.5 dinars, what is the amount of the second's capital and what is the share of each of the two from the profit?
Q5: A wooden pillar was encased in a brick structure so that the pillar (including the bricks)
became in the shape of a rectangular parallelepiped with a height of 13 feet and a square base with a side of 2 feet. If
you know that the volume of wood in this pillar equals 25 percent of the volume of the pillar,
and the cost of a cubic foot of wood equals 750 fils, how much does the wooden part of this
pillar cost?
Q6: Find the height of a triangular piece of land whose base length is 77 m and whose area equals the area of a
circular piece of land with a diameter of 56 m.
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Frank Iny School
Entrance exam for the first intermediate grade (French branch) for the summer of 1962
Subject
Arithmetic
Date
2 / 10 / 1962
Class
Primary school graduates for the summer of 1962
Time
10 - 12
Q1: An employee spends 1/3 of his salary on food, 4/9 of the remainder on house rent, and 1/2 of the remainder on the price of clothes
and ten dinars remain with him. What is his monthly salary?
Q2: A contractor undertook to build ten kilometers of road in a period of 150 days, but found after
starting the work that 90 men built 3 kilometers of the road in 80 days. How many men
must he add to his men to complete the remainder of the undertaking in the specified time?
Q3: Two men participated in a trade, and the ratio of the first's money to the second's money was equal to 6/11.
If it is known that the first's money was 810 dinars and that it remained at the company's disposal for (9) months,
while the second's money remained for (6) months at the company's disposal, and they gained upon the dissolution
of the company an amount of (1188) dinars, what is the share of each of them from the profit and what is the amount
of the second's money?
Q4: Khalil sold a square-shaped piece of land with a side length of 50 meters at a price of 1.200 dinars per square meter.
Then he loaned its price to a merchant at a rate of 5%. After a period, the total amount became
3300 dinars. What is the period of time that passed since the amount was loaned?
Q5: What is the price of the oil that fills a basin in the shape of a rectangular parallelepiped, the length of its base being (8) meters,
its width (3) meters, and its lateral area equals the area of a circle with a diameter of 14 meters,
knowing that the price of one liter of oil is seven fils.
⟦line⟧
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Frank Iny School
Entrance Exam for the First Intermediate Class
French Branch
For the Summer of 1960
Subject
Arithmetic
Date
28 / 9 / 1960
Class
Primary School Graduates
Time
11 - 1:30
Q1 Simplify the following:
0.16 x 0.003 x 0.203
a) ⟦line⟧
0.0029 x 0.008
1 1/8 ÷ 3/4 1 1/3 - 2
b) ⟦line⟧ - ⟦line⟧
1 1/4 x 8/15 - 2 + 1 1/3
Q2 Khalil put his bicycle in a lottery; if he sets the ticket price at two Dirhams, he profits
(3) Dinars, and if he sets the ticket price at 80 Fils, he loses 1.600 Dinars.
What is the price of the bicycle and how many tickets are there?
Q3 A man sold two cars for 840 Dinars each; he found that he had profited on
one of them 20% of the purchase value and lost on the second 20% of the purchase value
as well. What is the purchase price of each, and what is the amount of his profit or loss in that deal?
Q4 What is the cost of building a wall around a square-shaped plot of land whose side length including the wall is 36 meters,
the width of the wall is 40 cm, and its height is 2.5 m, knowing that building one cubic meter of
that wall costs 5.500 Dinars.
Q5 Fawzi and Farid partnered in establishing a commercial project; Fawzi invested 3600 Dinars and Farid invested
2400 Dinars. After 7 months, Fawzi withdrew half of his money, then they found after (3)
years of establishing the project that they had profited 3276 Dinars. What is the share of each
of them from the profit?
Q6 Imad found that the total amount recorded in his savings book at the beginning of the year 1959
equals 250 Dinars. If he added 60 Dinars to this amount on June 4, 1959,
then added 24 Dinars on November 9, 1959, what will be the total of the amounts
and profits recorded in his book at the end of the year 1960, if we know that the interest rate
equals 2% annually.