(1) Complete :
1)If a:b = 3:4 and b:c = 1:2, then a:c=……
2) The ratio between the side length of a square & its perimeter = … : …
3) The ratio between the circumference of circle and its radius =… : …
4) The ratio between the length of side of an equilateral triangle & its
perimeter = … : …
5) If , then x=……
6) 12 x 3 –63 7 +5 = ……
7) 2 x (3 + 7) – 8 4=……
8) = ……%
(2) Work Problems:
1) A school is of 200 pupils. If 180 of them are successful, find the ratio between
the number of the successful pupils to the total number of the pupils.
2) The ratio between money that Miriam has to that Heba has to that Nora has is
4 : 5 : 6 If Nora has L.E 600, Find what each of Heba and Miriam has
3) Divide L E 2 400 between two persons such that the share of the first is three
times the share of the second.
4) Distance between two cities is 120 Km & the drawing scale is 1:2000 000
Find the map distance.
5) A man died and left a capital of 24 000 pounds to be divided among his wife, 2
boys & one girl. The wife should take of the capital and each boy should
take twice as much as the girl.
Calculate the share of the wife and of each boy & the girl.
6) Ahmed, Yasser & Hany started a trade business. At the end of the year the
profit was divided between them, Ahmed’s share was of Yasser’s share &
Yasser’s share was if Hany’s share. If the share of yasser is more than
Ahmed’s share by L.E 240 Find the profit of each.
7) Mostafa, Adel & Raafat started a commercial business. Mostafa paid L.E 20
000, Adel paid L.E 16 000 and Raafat paid L.E 14 000 at the end of the year
the net profit was L.E 5000. Find the share of each from the profit.
(3) Geometry:
1) Using the geometrical instruments: Draw the square ABCD of side
length 6 cm. Draw and to intersect each other at M, Draw
such that E lies on .
From the drawing find: a) the length of b) m( BME)
(1) Complete :
1)15% of 80 = ……
2)55% + 45%= …… (10 , 0.1 , 100 , 1)
3)0.12= ……%
4)1:5 = ……%
5)37 % = ……
6)15% + 0.35 = …… (50% , 0.2 , 35% , )
7)45% - 0.45% = ……
8)28% - 0.28 = ……
(2) Work Problems:
1) A shopkeeper of one of the shops that sell electric sets bought a fridge for
L.E 780 and spent L.E 20 for transportation, then he sold it with profit 10%
Find the selling price.
2) Hashem deposited L.E 2000 in a bank with interest of 10.5% yearly.
Find the total amount that Hashem got at the end of the year.
3) Divide L.E 560 among three persons such that the share of the first is of
that of the second and the share of the second is of that of the third. Find
the share of each
.
4) An agricultural tractor ploughs 14 feddans in 3.5 hours.
Find the rate of performance of the tractor. Then find the number of hours
which the tractor takes to plough 20 feddans.
5) Three persons started a farm project. The first paid as much as the
second. And the second paid as much as the third. At the end of the
year the first profited L.E 400 less than the second. Find the profit of each
6) XYZ is a triangle in which m( X) : m(Y) : m( Z) = 1 : 5 : 4
Find the measure of each angle in this triangle. Determine the type of a
triangle according to the measures of its angles.
7) ABC is a triangle in which m( A) = m( B) and m( C) = 80˚, Find the ratio
between the measures of the angles of triangle
(3) Geometry:
1) Draw AB =4cm, from A draw the perpendicular line segment where
AD=6cm. then draw from D the line segment parallel to where
DC =4cm. Find the perimeter of the figure ABCD
2) In the opposite figure:
ABCD is a square, the length of its side is 5 cm. is midpointed at O and
at H, complete: A O B
a) ……
b) // …… 5cm
c) Intersects at the point ……
d) the perimeter of ABHO= ……
C H D
(1) Complete :
1) 1- 75% = …… (0.2 , , , )
2) The forth proportional for the quantities : 1.5 , 3 and 4 is ……
3) : =…:…
4) : : =…:…:…
5) 2.5 dm : 75 cm = … : …
6) 2 kg : 500 gm = … : …
7) P.T 200 : L.E 5 = … : …
8) day = …… hours
9) …… =
(2) Work Problems:
1) The perimeter of a rectangle shaped land is 280 m and the ratio between
its dimensions is 3 : 4. Find the area of the land.
2) In a sale a merchant sold some goods for L.E 51 000 If the percentage of
discount is 15%. Find the price of these goods before discount.
3) If the ratio of success in grade six in a primary school was 91% and the
number of failed pupils is 18 pupil. How many pupils succeeded?
4) 250 pupils took the sixths year exam in a school and the percentage of
success was 82%. Find the number of the failures.
5) There were 250 pupils in a school in grad six if 25 of them failed. Find the
percentage of the failed pupils.
6) The success percentage in the final exam in grade six in a school was
79% if the successful pupils were 316. find the number of pupils who were
examined
7) A fridge seller found that if he sells a fridge for L.E 1 456, his loss will be 9
% Find the cost price of the fridge and find the selling price that makes
him a profit of 9 %
(3) Geometry:
1) Draw a rectangle ABCD where AB =3cm & BC=4cm draw & , then
draw the perpendicular to & to
a) Find the length of each of them
b) Find the perimeter of the rectangle ABCD
c) Find the area of the rectangle ABCD
2) Draw the triangle ABC which is right-angled at B where AB=6cm &
BC=8cm, take the point N as a midpoint of , draw // to cut
at M Find by measuring the length of and
