AI en Translation, Pages 251-275
Page 251
Shamash Secondary School
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Subject: Arithmetic & Trigonometry
Date: 14/9/1965
Class: 4th Year Secondary
Time: 8.00-10.30
⟦line⟧
Attempt all questions.
1. Find the income produced by investing £253 15s. in 3½% stock at
101½ and the amount realised by subsequently selling out at 99.
2. A spherical ball of lead 3 in. in diameter is melted and recast
into three spherical balls. The diameters of two of these are
1½ in. ⟦and 2 in.⟧ respectively. What is the diameter of the other?
3. A ladder, 24ft. long, makes an angle of 52° with the ground and
leans against a vertical wall. If the top of the ladder slips
down 2 ft. how far will the foot of the ladder move?
4. An aeroplane is flying horizontally due E. When it is due N.
of an observer its elevation is 42°. Find its elevation when
it is N. 55° E. of the observer.
5. A householder has two alternative methods of paying for the
electric light and power that he uses during one quarter of a
year. Either he pays 7d. per unit for light and 2¾d. per unit
for power, or he pays 1½d. per unit for light and for power and
also a quarterly charge of £2 5s. 6d.
Determine which method is the cheaper, and by how much, for a
quarter during which he uses 68 units for light and 196 units
for power.
A householder paying by the first method used 117 lighting units
during a quarter, and his electricity bill for the quarter was
£5 3s. 1d. Find the number of units used for power.
⟦line⟧
⟦illegible⟧
15) 128
120
8
540
3 189
20
134
⟦illegible⟧
Page 252
1st Quarter Exam.
Subject: Arithmetic & Trigonometry. Date: 1/12/1958
Class: 4th Secondary. Time: 90 minutes.
Answer all questions.
1 (a) Decimalise: -
£ 9 15s 10¾d
£ 5 2s 2¾d
£10 10s 8¾d.
(b) Express in shillings and pence to the nearest ¼d
£0.840, £0.730, £0.910
(c) Express as a compound quantity correct to the nearest
unit of the lowest given denomination.
0.6186 of 7½ tons. (tons, cwt., qr.).
2. A man walks from his house to a town 6 miles away at 4 miles
per hour and cycles back again at 12 miles per hour. Find
his average speed for the double journey.
3. A wirless pole stands at the corner A of a rectangular court
ABCD. Its elevation from the corner B is 50°. Find its eleva-
tion from the opposite corner C; given the length of
AB = ¾ that of AD.
4. A ship steaming S60°E at 10 miles an hour is 10 miles
N of a lighthouse at 12.00 noon. At what time will the ship
be due E. of the light house ?
5. The area of a rectangular field is 2 acres and its breadth
is 88 yds - Find the perimeter of the field and the length
of the diagonal correct to the nearest yards
⟦line⟧
Page 253
1st Quarter Exam.
⟦line⟧
Subject: Geometry
Date: 30/11/1958
Class: 4th Secondary
Time: 90 minutes.
⟦line⟧
Attempt all questions.
1. Draw a triangle given two angles and the perimeter.
Prove your construction. (30 marks).
2. Construct the quadrilateral A B C D given that AB=AD= 8cm.
BC=CD = 6 cm. and the angle ABC = 75°.
Construct the point K on AB produced such that triangle AKD
is equal in area to the quadrilateral ABCD. Measure AK.
(35 marks)
3. ABC is a triangle. Y & Z are the mid-points of AC and AB
respectively. AC is produced to D so that CD = AY.
DP is drawn parallel to BA to meet BC and ZY (both produced)
at P and W respectively. Show that the triangles
DCP and AYZ are congruent.
Calculate the ratio of the area of the parallelogram
ZBPW to that of the triangle ABC.
(35 marks).
⟦line⟧
Page 254
Shamash Secondary School
1st. Quarter Exam.
Subject: Arithmetic & Trigonometry
Time: 12:00-1:30 p.m.
Class: 4th year Secondary
Date: 8/12/1957
All questions are to be attempted.
(1) State to how many significant digits are the following
underlined numbers given ?
My expected profit from my business in the year 1960
is £ 8500. I have to pay my landlord with whom I have
just concluded a 10 years agreement £ 1250 per annum.
I have to pay my assistant a fixed sum of £ 500 per
annum plus a commission of 0.5 per cent on my turnover.
His earning from commission may amount to £ 650 per annum.
My business premises measures 19.10m. by 25.00 m.
(2) (a) Decimalise to 3 places the following:
£ 2 12s 2 3/4 d
£ 8 10s 8 1/2 d
£ 9 5s 10 1/4 d
(b) Convert into shillings and pence to nearest 1/4 d the
following:
£ 0.509 , £ 0.620, £ 0.945.
(c) Express 4.316 gallons into gallons, quarts and pints
to the nearest pint.
(3) A watch which gains 5 sec.in every 3 min. of true time
was set right at 6 a.m. What was the true time in the
afternoon of the same day when the watch indicated a
quarter-past 3 O'clock ?
(4) The average age of m boys is b years and of n girls is c
years. Find the average age of all together.
(5) At 9 a.m. a ship which is sailing in a direction E.37° S. at
the rate of 8 miles an hour observes a fort in a direction
53° North of East. At 11 a.m. the fort is observed to bear
N.20°W., find the distance of the fort from the ship at the
first observation.
(6) From the roof of a house 30 feet high the angle of elevation
of the top of a monument is 42°7', and the angle of depres-
sion of its foot is 17° 59'. Find its height.
Page 255
Shamash Secondary School
1st Quarter Exam.
Subject: Arithmetic & Trigonometry Time: 12:00-1:30 p.m.
Class : 4th year Secondary. Date: 8/12/1957
⟦line⟧
All questions are to be attempted.
(1) State to how many significant digits are the following
underlined numbers given ?
My expected profit from my business in the year 1960
is £ 8500. I have to pay my landlord with whom I have
just concluded a 10 years agreement £ 1250 per annum.
I have to pay my assistant a fixed sum of £ 500 per
annum plus a commission of 0.5 per cent on my turnover.
His earning from commission may amount to £ 650 per annum.
My business premises measures 19.10m, by 25.00 m.
(2) (a) Decimalise to 3 places the following:
£ 2 12s 2 3/4 d
£ 8 10s 8 1/2 d
£ 9 5s 10 1/4 d
(b) Convert into shillings and pence to nearest 1/4 d the
following:
£ 0.509 , £ 0.620, £ 0.945.
(c) Express 4.316 gallons into gallons, quarts and pints
to the nearest pint.
(3) A watch which gains 5 sec. in every 3 min. of true time
was set right at 6 a.m. What was the true time in the
afternoon of the same day when the watch indicated a
quarter-past 3 O'clock ?
(4) The average age of m boys is b years and of n girls is c
years. Find the average age of all together.
(5) At 9 a.m. a ship which is sailing in a direction E.37° S. at
the rate of 8 miles an hour observes a fort in a direction
53° North of East. At 11 a.m. the fort is observed to bear
N.20° W., find the distance of the fort from the ship at the
first observation.
(6) From the roof of a house 30 feet high the angle of elevation
of the top of a monument is 42° 7', and the angle of depres-
sion of its foot is 17° 59'. Find its height.
Page 256
Shamash Secondary School
1st. Quarter Exam.
Subject: Arithmetic & Trigonometry
Time: 12:00-1:30 p.m.
Class: 4th year Secondary.
Date: 8/12/1957
⟦line⟧
All questions are to be attempted.
(1) State to how many significant digits are the following
underlined numbers given ?
My expected profit from my business in the year 1960
is £ 8500. I have to pay my landlord with whom I have
just concluded a 10 years agreement £ 1250 per annum.
I have to pay my assistant a fixed sum of £ 500 per
annum plus a commission of 0.5 per cent on my turnover.
His earning from commission may amount to £ 650 per annum.
My business premises measures 19.10m, by 25.00 m.
(2) (a) Decimalise to 3 places the following:
£ 2 12s 2 3/4 d
£ 8 10s 8 1/2 d
£ 9 5s 10 3/4 d
(b) Convert into shillings and pence to nearest 1/4 d the
following:
£ 0.509 , £ 0.620, £ 0.945.
(c) Express 4.316 gallons into gallons, quarts and pints
to the nearest pint.
(3) A watch which gains 5 sec. in every 3 min. of true time
was set right at 6 a.m. What was the true time in the
afternoon of the same day when the watch indicated a
quarter-past 3 O'clock ?
(4) The average age of m boys is b years and of n girls is c
years. Find the average age of all together.
(5) At 9 a.m. a ship which is sailing in a direction E.37° S. at
the rate of 8 miles an hour observes a fort in a direction
53° North of East. At 11 a.m. the fort is observed to bear
N.20° W., find the distance of the fort from the ship at the
first observation.
(6) From the roof of a house 30 feet high the angle of elevation
of the top of a monument is 42° 7', and the angle of depres-
sion of its foot is 17° 59'. Find its height.
Page 257
Shamash Secondary School
1st. Quarter Exam.
Subject: Arithmetic & Trigonometry
Time: 12:00-1:30 p.m.
Class: 4th year Secondary.
Date: 8/12/1957
⟦line⟧
All questions are to be attempted.
(1) State to how many significant digits are the following
underlined numbers given ?
My expected profit from my business in the year 1960
is £ 8500. I have to pay my landlord with whom I have
just concluded a 10 years agreement £ 1250 per annum.
I have to pay my assistant a fixed sum of £ 500 per
annum plus a commission of 0.5 per cent on my turnover.
His earning from commission may amount to £ 650 per annum.
My business premises measures 19.10m, by 25.00 m.
(2) (a) Decimalise to 3 places the following:
£ 2 | 12s | 2 3/4 d
£ 8 | 10s | 8 1/2 d
£ 9 | 5s | 10 1/4 d
(b) Convert into shillings and pence to nearest 1/4 d the
following:
£ 0.509 , £ 0.620, £ 0.945.
(c) Express 4.316 gallons into gallons, quarts and pints
to the nearest pint.
(3) A watch which gains 5 sec. in every 3 min. of true time
was set right at 6 a.m. What was the true time in the
afternoon of the same day when the watch indicated a
quarter-past 3 O'clock ?
(4) The average age of m boys is b years and of n girls is c
years. Find the average age of all together.
(5) At 9 a.m. a ship which is sailing in a direction E.37° S. at
the rate of 8 miles an hour observes a fort in a direction
53° North of East. At 11 a.m. the fort is observed to bear
N.20° W., find the distance of the fort from the ship at the
first observation.
(6) From the roof of a house 30 feet high the angle of elevation
of the top of a monument is 42° 7', and the angle of depres-
sion of its foot is 17° 59'. Find its height.
⟦line⟧
Page 258
Shamash Secondary School
1st. Quarter Exam.
Subject: Arithmetic & Trigonometry
Time: 12:00-1:30 p.m.
Class: 4th year Secondary.
Date: 8/12/1957
⟦line⟧
All questions are to be attempted.
(1) State to how many significant digits are the following
underlined numbers given ?
My expected profit from my business in the year 1960
is £ 8500. I have to pay my landlord with whom I have
just concluded a 10 years agreement £ 1250 per annum.
I have to pay my assistant a fixed sum of £ 500 per
annum plus a commission of 0.5 per cent on my turnover.
His earning from commission may amount to £ 650 per annum.
My business premises measures 19.10m, by 25.00 m.
(2) (a) Decimalise to 3 places the following:
£ 2 12s 2 3/4 d
£ 8 10s 8 1/2 d
£ 9 5s 10 1/4 d
(b) Convert into shillings and pence to nearest 1/4 d the
following:
£ 0.509 , £ 0.620, £ 0.945.
(c) Express 4.316 gallons into gallons, quarts and pints
to the nearest pint.
(3) A watch which gains 5 sec.in every 3 min. of true time
was set right at 6 a.m. What was the true time in the
afternoon of the same day when the watch indicated a
quarter-past 3 0'clock ?
(4) The average age of m boys is b years and of n girls is c
years. Find the average age of all together.
(5) At 9 a.m. a ship which is sailing in a direction E.37° S. at
the rate of 8 miles an hour observes a fort in a direction
53° North of East. At 11 a.m. the fort is observed to bear
N.20°W., find the distance of the fort from the ship at the
first observation.
(6) From the roof of a house 30 feet high the angle of elevation
of the top of a monument is 42°7', and the angle of depres-
sion of its foot is 17° 59'. Find its height.
⟦line⟧
Page 259
Shamash Secondary School
1st. Quarter Exam.
Subject: Arithmetic & Trigonometry
Time: 12:00-1:30 p.m.
Class: 4th year Secondary.
Date: 8/12/1957
⟦line⟧
All questions are to be attempted.
(1) State to how many significant digits are the following
underlined numbers given ?
My expected profit from my business in the year 1960
is £ 8500. I have to pay my landlord with whom I have
just concluded a 10 years agreement £ 1250 per annum.
I have to pay my assistant a fixed sum of £ 500 per
annum plus a commission of 0.5 per cent on my turnover.
His earning from commission may amount to £ 650 per annum.
My business premises measures 19.10m, by 25.00 m.
(2) (a) Decimalise to 3 places the following:
£ 2 12s 2¾d
£ 8 10s 8½d
£ 9 5s 10¾d
(b) Convert into shillings and pence to nearest ¼d the
following:
£ 0.509 , £ 0.620, £ 0.945.
(c) Express 4.316 gallons into gallons, quarts and pints
to the nearest pint.
(3) A watch which gains 5 sec.in every 3 min. of true time
was set right at 6 a.m. What was the true time in the
afternoon of the same day when the watch indicated a
quarter-past 3 0'clock ?
(4) The average age of m boys is b years and of n girls is c
years. Find the average age of all together.
(5) At 9 a.m. a ship which is sailing in a direction E.37° S. at
the rate of 8 miles an hour observes a fort in a direction
53° North of East. At 11 a.m. the fort is observed to bear
N.20°W., find the distance of the fort from the ship at the
first observation.
(6) From the roof of a house 30 feet high the angle of elevation
of the top of a monument is 42°7', and the angle of depres-
sion of its foot is 17° 59'. Find its height.
Page 260
Shamash Secondary School
1st. Quarter Exam.
Subject: Arithmetic & Trigonometry Time: 12:00-1:30 p.m.
Class : 4th year Secondary. Date: 8/12/1957
⟦line⟧
All questions are to be attempted.
(1) State to how many significant digits are the following
underlined numbers given ?
My expected profit from my business in the year 1960
is £ 8500. I have to pay my landlord with whom I have
just concluded a 10 years agreement £ 1250 per annum.
I have to pay my assistant a fixed sum of £ 500 per
annum plus a commission of 0.5 per cent on my turnover.
His earning from commission may amount to £ 650 per annum.
My business premises measures 19.10m, by 25.00 m.
(2) (a) Decimalise to 3 places the following:
£ 2 | 12s | 2¾d
£ 8 | 10s | 8½d
£ 9 | 5s | 10¾d
(b) Convert into shillings and pence to nearest ¼d the
following:
£ 0.509 , £ 0.620, £ 0.945.
(c) Express 4.316 gallons into gallons, quarts and pints
to the nearest pint.
(3) A watch which gains 5 sec.in every 3 min. of true time
was set right at 6 a.m. What was the true time in the
afternoon of the same day when the watch indicated a
quarter-past 3 O'clock ?
(4) The average age of m boys is b years and of n girls is c
years. Find the average age of all together.
(5) At 9 a.m. a ship which is sailing in a direction E.37°S. at
the rate of 8 miles an hour observes a fort in a direction
53° North of East. At 11 a.m. the fort is observed to bear
N.20°W., find the distance of the fort from the ship at the
first observation.
(6) From the roof of a house 30 feet high the angle of elevation
of the top of a monument is 42°7', and the angle of depres-
sion of its foot is 17° 59'. Find its height.
Page 261
Make-up Examination
Fourth Year Secondary
Trigonometry
1/2/55
1. Without using tables, find the height and area of an equilateral
triangle whose sides are each 7.2 inches long.
2. (i) Find A, if sec 17° + cot 41° = cot A
(ii) Evaluate in the shortest possible way:
csc 49° / csc 41° , sin 60° sec 60° , csc 41° 31' / sec 48° 29' , csc 75° cos 15°
3. A ladder, 36 ft. long, makes an angle of 50° with the <del>⟦illegible⟧</del>
ground and <del>⟦illegible⟧</del> leans against a vertical wall. If the top
of the ladder slips down 2 ft., how far will the foot of the ladder
move?
Page 262
SHAMASH SCHOOL
FINAL EXAMINATIONS 1953-1954
Subject: Trigonometry
Date: 26/5/54
Class: Fourth year (secondary)
Time: 10:30-12:00
All questions are to be attempted
1. How far down a hill inclined at 7½° to the horizon must I walk in order to descend a distance of 70 ft. vertically?
2. A is 5 miles due South of a port O. A ship steaming at 10 miles an hour starts from O and steams in a straight line to B 1 mile due West of A. From B the ship steams 37° East of South. Calculate the ship's distance from O at the end of one hour after leaving O.
3. Solve the triangle ABC, having given:
A = 43° 39', C = 17° 47', b = 4 ft.
4. Two points A and B are at sea level, B being due south of A and distant 2200 feet from it. A third point C, which is 200 feet above sea level, is due east of A and its bearing from B is 047° (N. 47° E.). Find the horizontal distance between B and C and the angle of elevation of C from B, correct to the nearest 10 feet.
θ = ?
BD = ?
⟦Diagram showing a 3D geometric figure with points A, B, C, D and labels 2200, 200, 47°, θ⟧
Lecturer: Abdullah Obadiah
Page 263
Class: 4th year Secondary. 1st Quarter Exam.
Subject: Arithmetic + Trigonometry January 25, 1957
TIME ALLOWED: 90 MINUTES
Attempt six questions only:
(1) a) Define sin A, cos A and tan A where A is an acute angle.
b) Prove sin A = cos (90º-A)
c) Find from first principles sin 30º and tan 45º.
(2) a) Find from tables sin 55º 57' and cos 60º 57'
b) Given tan A = 2.2372 find A from tables.
(3) A B C D is a rectangle in which A B is 15 in. and A D is 8 in.
Calculate the angle B A C. The rectangle is held in a vertical
plane with A B inclined to the horizontal at 40º and with B C D
lower than A.
Calculate the depth of B below A.
(4) a) Divide £117 5s 3d by 49.
b) Express the following as decimals of a pound
12s 3d
18s 9d
9s 8d
(5) The area of a rectangular field is 2 acres and its breadth is
88 yds. Find the perimeter of the field and the length of a
diagonal correct to the nearest yard.
(6) What is the correct time when the two hands of a clock coincide
between 8 and 9 o'clock.
(7) a) A class of 30 students; 12 of whom weigh 9 st. 2 lb each,
8 weigh 8 st. 4 lb. each, 7 weigh 8 st. 1 lb. each and the
rest 10 st. 4 lb, 10 st. 6 lb. and 10 st. respectively. Find
the average weight of a student to the nearest lb.
b) Define the gallon and state how many pints it contains.
Page 264
⟦Monthly⟧ Exam. April 6/4/54
Subject: Trigonometry Class: Fourth year
1. From the base of a tower, 80 ft. high, the angle of elevation of a
distant point is 10°, while when viewed from the top of the tower
its elevation is 8°. Find the distance of the point from the base
of the tower and its height above the base.
⟦Diagram with labels: B, A, C, D, E, 8°, 10°, 80 ft, x, y, z⟧
x/y = tan 82° ∴ x = y tan 82°
x/(y+80) = tan 80° ∴ x = y tan 80° + 80 tan 80°
∴ y tan 82° = y tan 80° + 80 tan 80°
∴ y = (80 tan 80°) / (tan 82° - tan 80°) = (80 x 5.6713) / (7.1154 - 5.6713)
∴ y = 453.7040 / 1.4441 = 314.18 ft = 314 correct to the nearest foot
∴ ⟦CE⟧ = 314 + 80 = 394 ft Ans. I
394 / ⟦z⟧ = sin 10 ∴ z = 394 / sin 10 = 394 csc 10 = 394 x 5.7588 = 2269.8472
= 2270 ft. correct to the
nearest foot.
Ans. II
Page 265
⟦illegible⟧ 1/4/59
⟦Diagram of a geometric figure with labels E, D, C, B, A, H, and angles 75°, 30°⟧
z/30 = sin 75° ∴ z = 30 sin 75°
l/20 = sin 30° ∴ l = 20 sin 30°
∴ z + l = 30 sin 75 + 20 sin 30° = 10 (3 sin 75 + 2 sin 30°)
∴ z + l = 10 (3 x 0.9659 + 2 x 1/2) = 10 (2.8977 + 1) = 38.977 ⟦illegible⟧
x/30 = cos 75° ∴ x = 30 cos 75° = 30 x 0.2588
y/20 = cos 30° ∴ y = 20 cos 30° = 20 x 0.8660
x + y = 30 cos 75 + 20 cos 30 = 10 (3 x cos 75 + 2 cos 30) = 10 (3 x 0.2588 + 2 x 0.866)
∴ x + y = 10 (0.7764 + 1.7320) = 10 x 2.5084 = 25.084 ⟦illegible⟧
∴ tan θ = (x + y) / (z + l) = 25.084 / 38.977 = 0.6436
θ = 32° 46' Ans. ∴ bearing = N 32° 46' E Ans.
∠ACD = 20°
⟦Diagram of a circle segment with labels A, B, C, D, and angle 20°⟧
x/14 = sin 20° ∴ x = 14 sin 20°
∴ AB = 14 + x = 14 + 14 sin 20° = 14 (1 + sin 20°)
= 14 (1 + 0.3420) = 14 x 1.342 = 18.788 ⟦illegible⟧
= 18.79 in. correct to the
nearest 0.01 in.
Ans.
Page 268
I.
(1) Inaccessible distances (5) The generation of an angle
(2) Counterclockwise rotation (6) a homogeneous algebraic expression
(3) Solution of oblique triangle (7) Transposing from one side of the equation
(4) Circular measure of angles to the other & adding like terms
(8) the base of a power, the index or
exponent of a power, the nth power.
II. (a) sin 51° 40' = 0.7844
cos 33° 22' = 0.8352 or 0.8351
tan 88° 3' 9' = 42.495
(b) θ = 0° 14' Ans. 1 α = 30° Ans. 4
β = 82° 55' Ans. 2 γ = 60° Ans. 5
φ = 77° 56' Ans. 3 ε = 45° Ans. 6
III. y / 110 = sin 14° 12'
∴ y = 110 sin 14° 12'
∴ y = 110 x 0.2453
∴ y = 26.9830 yds Ans.
= 26.98 yds correct to two decimal places.
110 yds.
14° 12'
Trigonometry Exam. 13/12/54
Fourth Year
I. Give the English equivalent of the following
5. Generation of the angle | 1. Inaccessible distances
6. Homogeneous algebraic expression | 2. Counter-clockwise rotation
7. We move terms from one side to the other side of the equation and combine like terms | 3. Solving the oblique-angled triangle
8. Base of the power, exponent of the power, the nth power | 4. The circular measurement system for angles
II. (a) Find the values of each of the following from the tables
sin 51° 40'
cos 33° 22'
tan 88° 39'
(b) Find the angles from the following equations:
sin θ = 0.0041 | sin α = 1/2
cos β = 0.1234 | cos γ = 1/2
tan φ = 4.6789 | tan ε = 1
III. The distance between two landmarks on opposite
banks of a river is 110 yards, and the line joining
them makes an angle of 14° 12' with the banks. Find
the breadth of the river.
Page 269
SHAMASH SCHOOL
FINAL EXAMINATIONS 1953-1954
Subject: Trigonometry
Date: 26/5/54
Class: Fourth year (secondary) -
Time: 10:30-12:00
⟦line⟧
All questions are to be attempted
1. How far down a hill inclined at 7½° to the horizon must I walk in order to descend a distance of 70 ft. vertically?
2. A is 5 miles due South of a port O. A ship steaming at 10 miles an hour starts from O and steams in a straight line to B 1 mile due West of A. From B the ship steams 37° East of South. Calculate the ship's distance from O at the end of one hour after leaving O.
3. Solve the triangle ABC, having given:
A = 43° 39', C = 17° 47', b = 4 ft.
4. Two points A and B are at sea level, B being due south of A and distant 2200 feet from it. A third point C, which is 200 feet above sea level, is due east of A and its bearing from B is 047° (N. 47° E.). Find the horizontal distance between B and C and the angle of elevation of C from B, correct to the nearest 10 feet.
θ = ?
BD = ?
Lecturer: Abdullah Obadiah
5.1 = x
78 41'
37
z y
4.9
⟦illegible⟧
l = 4.952
Page 270
⟦illegible⟧ SCHOOL
⟦illegible⟧ EDIATE & PRIMARY
Baghdad
Telephone No. 91693
⟦illegible⟧ School
Intermediate & Primary
Baghdad
Telephone No. 91693
No:
Date:
Number:
Date:
1- Translate into English:
Abu Ja'far Muhammad ibn al-Fadl al-Saghiri narrated, saying: There was in our town a righteous old woman
who fasted and prayed much, and she had a young son who was engrossed in drinking and play. He
would busy himself at his shop most of the day, then return to his home, hide his pouch with his mother, and go out to spend the night
in places where he would drink. One of the thieves learned about his pouch in order to take it, so he followed him and entered
the house without him knowing, and hid inside. He (the son) handed his pouch to his mother and left, and she remained
alone in the house. She had a room in her house paneled with teak with an iron door
where she kept her cloth and the pouch, so she hid the pouch in it behind the door, milked (the animal), and broke her fast
before him. The thief said: In a moment she will overlook it and sleep, then I will go down, tear off the door, and take the pouch. When
she broke her fast, she stood up to pray, and the prayer continued, and half the night passed. The thief became confused and feared that
morning would catch him. He circled the house and found a new waist-wrap and incense, so he put on the wrap and lit the incense.
2- Write the meanings of these words in English:
Parasitism - Heretics - Banquet - Predicament - Frying pan - Nation - Hadith narrator - Hated her -
Safety - Chain of transmission -
3. Translate into Arabic:
Summer Holidays
Then comes July, and with it examinations,
but these are soon finished, and with them ends
the school year. Boys and girls have nearly two months
holiday before them ⟦illegible⟧ school by train
and car to return home ⟦illegible⟧ and mothers.
The ⟦illegible⟧ holidays
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⟦for⟧ most children. The weather is usually good; so
that one can spend most of one's time playing in
the garden or, if one lives in the country, out in
the woods and fields. Even if one lives in a big
town, one can usually go to a park to play.
The best place for a summer holiday, however, is
the seaside. Some children are lucky enough to live
near the sea, but for the others who do not, a
week or two at one of the big seaside towns is
something which they will talk about for the whole
of the following year.
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Shamash School
Monthly Quiz
Subject: Trigonometry
Date: 25/1/55
Class: 4th
Time: 45 minutes, 1 hour.
All questions are to be attempted.
1. (a) Find θ, φ and ψ when:
cot θ = 2.4363 , Sec φ = 3.1241 ; csc ψ = 4.0213
22° 19' 71° 20' 14° 24'
(b) Solve the triangle ABC, given that: C = 90° , B = 71° 31' , b = 76 in.
A = 18° 29' a = 25.4068 c = 81.19
2. (a) Evaluate as shortly as possible 1/sin 19° , 1/cos 29° , 1/tan 42°
3.0713 1.1430 1.1106
cos 17°/sin 17° , sin 42°/sin 48° , cos 63/cos 27
3.2709 0.9004 0.5095
(b) If tan 19° + tan 31° = tan θ , Find θ using tables
0.3443 + 0.6009 = 0.9452 ∴ θ = 43° 23'
3. The sun is due <del>west</del> W. at an elevation of 25°.
(a) Find the length of the shadow thrown on the ground by a vertical pole
30 ft high. 30 x 2.1445 = 30/.4663 = 64.335 ft.
(b) Find the height of the shadow on a vertical wall running N. + S.
and 10 yds away from the pole. 16.08 ft. = 34.335 x 0.468