6th Primary
Model (1)
E.L.S.
Q3: a] Find the solution set of inequality 5 - 2x ≤ 7 where
Q1: Complete:
a] The next number in the pattern 4, -12, 36, -------------- .
X∈ Z then represent it on number line.
b] The additive inverse of (-1)2 is ---------------.
b] Find:
(-5)3×(-5)2
c] If A (3, -2), B (3, 5) then AB = -------------- length unit.
(-5)5
d] A fair die is thrown once, then the probability of
Q4: a]A case in the shape of a cuboid without a lid, its
appearing a number ≤ 6 is --------------- .
base is a square of side length 6cm & the height of the case
e] Z - Z- = --------------- .
is10cm. Calculate its lateral area & its total area?
Q2: Choose:
b] Circle M is drawn inside a rectangle
with length 8cm& width 7cm
MM
7cm
a] If A ˃ B, then (-3A) --------------- (-3B).
Calculate the area of the shaded
1) ˃
2) ˂
3) =
4) ≤
[
22
b] If the perimeter of one face of a cube = 4cm., then
its lateral area = --------------- cm2.
1) 16
2) 64
3) 8
4) 4
part? (π = )
8 cm
7
Q5: a] Find the solution set of the following equation in Z:
3x + 2 = -22
c] N - Z = --------------- .
1) Z+
2) Z-
3) Ø
4) {0}
b] The following table shows the production of 4 factories:
The factories
d] The equation x (x - 1) = zero is --------------- degree.
1) 1st
2) 2nd
3) 3rd
4) 4th
e] If 9x = 36, thenx + 1 = --------------- .
1) 4
2) 3
3) 5
1st
2nd
3rd
Percentage 35% 15% 20%
4th
------- %
1- Complete the table.
4) 6
2- Represent these data by using the circular sectors.
6th Primary
Model (2)
E.L.S.
Q3: a] Find the solution set of inequality in where X∈Z:
Q1: Complete:
a] The lateral area of a cuboid with square base whose
3X - 5 < 4
side length is 3cm & its height is 6cm = ------------- cm2. b] A box contains 80 similar balls, some of them are red
b] Sample space is --------------- .
& the rest is blue, if the probability of drawing a red
3
c] If A is the additive inverse B then A + B = --------------- .
ball is , find the number of a blue balls?
8
1 2 3 4
d] The term with order is 99 in the pattern , , , ,---2 3 4 5
Q4: a]A cube of total area is 384cm2, Find:
is --------------- .
1- The area of one face.
2- Its lateral area.
e] The lateral area of a cube is 100cm2, then its total area
= --------------- cm2.
b] A circle with diameter 70cm is divided into fiveequal
[
circular sectors. Calculatethe area of one sector.
Q2: Choose:
zero
a]The additive inverse of (-3)
1) 3
2) 1
is--------------- .
3) -1
b] If the area of a circular sector =
1
6
(Π =
4) -3
area of its circle,
22
7
)
Q5: a] If A = (-5), B = 4, C = 3. Find the value of
(A + B)C.
b] The following table shows the rate of the score of200
then the measure of its central angle = --------------- .
1) 45°
2) 60°
3)90°
4) 180°
students in one school:
c] A circle of diameter length 2cm, then its area = ---------Excellent Good Pass Weak
Rate
square unit.
30
100
50 ------Number of students
1) 𝜋
2) 2𝜋
3) 13.4
4) 1.34
1- Complete the table.
d] Half of the number (2)10 is --------------- .
1) 25
2) 29
3) 15
4) 49 2- Represent these data by using the circular sectors.
e] (-8)÷ (-2) =--------------- .
1) 2
2) -2
3) 4
4) 3
6th Primary
Model (3)
Q3: a] Find the solution set of inequality in where X ∈Z:
Q1: Complete:
X - 2 < -1
b] A circle with radius 10.5cm is divided into six equal
a] If A (-5, 1) B (3, 1) then AB = --------------- .
b] If x = 3 then x = --------------- or --------------- .
c] If A (-2, 4), A' (3, 2) then the translation =
(--------------- , ---------------).
d] (-1)102 + (-1)103 = --------------- .
e] The sum of all integer numbers = --------------- .
circular sectors. Calculate the area of one sector.
b] In opposite figure AC a diameter.
a] (-2)--------------- -2 .
1) ˃
2) ˂
In a circle M, & AC is a diagonal,
In the square ABCD, If AC = 20cm
Find the area of the shaded part
Where (𝜋 = 3.14)
4) ≤
b] The value of 3 × - 5 -(2 × 3)2÷ 4 is --------------- .
2) -16
3) -24
4)
−51
12
c] If X = -1, Y = -2 then the negative number of the
following number is --------------- .
1) x2 - y
2) x2 + y
3) x + y2 4) x2 + y2
d] If the dimensions of a cuboid is doubled, then the
ratio between its total area & new total area is
1) 1:2
2) 1:4
3) 1:8
4) 1:16
e]
−15
--------------- Z
5
1)∈
7
D
C
A
B
Q5: a] In the ideal student competition of one of the
schools, 63 students applied for the competition, if the
4
probability that one of the girls is an ideal student is ,
9
Find the number of girls who participate in the
competition.
b] The following table shows the professional statusfor
some persons:
Professional Status TeacherWorker Doctor Engineer Sum
Percentage
350
500 100
50 1000
* Represent these data by using the circular sectors.
2)∉
3(⊂
)
Q4: a] A cube with volume 8cm3Findits total area.
Q2: Choose:
3) =
22
(Π =
[
1) -31
E.L.S.
4(⊄
6th Primary
Model (4)
E.L.S.
Q1: Complete:
Q3: a] Arrange the following in descending order:
a] If A ×B + A × C = zero, A ≠ zero then B = ----------- .
b] The random experiment is -------------------- .
c] The smallest non-negative integeris ---------------.
d] The result of subtracting (-16) from 13 is--------------- .
e] If the surface of a circle is divided into 60 circular
sectors then the measure of the central angle for each
sector is --------------- .
(-2)3, (-1)101, (-8)zero, (2)3
b] Find the solution set of the following equation in N, Z:
3X - 1 = -16
Q4: a] In the coordinates plane, draw ∆ ABC where
A (2, 3), B (4, 3) & C (4, 7). Find:
1- The length of BC & AB.
2- The image of ∆ ABC by the translation (0, -4).
Q2: Choose:
b] Find the solution set of the following equation in Z:
2X + 9= -13
a] The perimeter of a circular sector is 86cm, the length
of its arc = 44cm, then the radius = -------------------- cm. Q5: a] A circle M is drawn inside a square
of side length 14cm. Calculate the
1) 42
2) 21
3) 14
4) 28
22
b] Natural number included between 1 & -4 is------------- .
area of the shaded part (Π = )
7
1) -3
2) zero
3) -1
4)-2
b] The following table shows the percentages of the
c] If A = 3, B = -2 then 3AB = --------------- .
production of chicken in four farms within one month:
1) 18
2)-12
3)-2
4)-18
d] The image of the point (3, 5) by the translation
First
Second
Third Fourth
Farms
(x + 2, y - 1) is --------------- .
------20%
25%
Percentages 40%
1)(5, 6)
2)(5, 4)
3)(1, 4)
4)(1, 6)
e] Which of the following can be a probability of an
1- Complete the table.
event --------------- .
2- Represent these data by using the circular sectors.
19
1)zero%
2) -1
3)
4)101%
17
6th Primary
Model (5)
Q1: Complete:
E.L.S.
Q3: a] In the opposite figure:
1
ABCD is a square inside the circle
in which its area 24.5cm2
Find: the area of the shaded part?
a] of 25 = --------------- .
8
A
D
b] The translation is happened by known magnitude
& -------------------- .
22
(π = )
B
C
c] The area of one face of the cube = total area ×-----7
= lateral area ×--------b] Find the solution set in Z of the equation:
d] Surface area of the circle = -------------------- .
2 (2X + 3) = 30
e] The circular sector is -------------------- .
Q4: a] Find the value of: (-7)6×(-7)3
Q2: Choose:
(-7)5×(7)2
b] The sum of lateral area & total area of a cube = 360cm2.
a] Z - N = --------------- .
1)Z+
2)N
3)Z4){0}
Find its volume.
[
b] Z+∩Z-= --------------- .
1) Z+
2) N
c] -5 + -------------------- = zero.
1)5
2)1
Q5: a] If 9x + 2= 29. Find the value of (x + 2).
3){0}
4)∅
30% for food, 20% for cloths, 25% for house rent &
3)zero
4)-5
𝑥
d] = 23, then x =--------------- .
2)14
3) 16
4)18 2- If the family monthly income is 1200 L.E., so how much
e] The measure of the angle of the circular sector
3
which represents of a circle--------------- .
4
1) 90°
2) 180°
saves the remainder.
1- Represent these data by using the circular sectors.
2
1)12
b] One of the families spends its salary as the following:
3) 360°
4) 270°
does the family save in month?
6th Primary
Model (6)
Q3: a] Use the properties of addition in Z to find:
Q1: Complete:
a] 2xzero = --------------- .
x≠ 0.
b] The sum of integers number between -25, 24 =
--------------- .
c] The additive inverse of zero --------------- .
d] 1, 1, 2, 3, 5, 8, 13, 21, --------------- , --------------- .
e] The set of even integers ∪ set of odd integers =
--------------- .
[
Q2: Choose:
35 + (-8) + (-35) + 12.
State the used property in each step.
b] Find the solution set of the inequality x + 4 <7 where
X ∈ Z then represents it on the number line.
Q4: a] The sum of the length edges of a cuboid is 120cm
& the ratio between its dimensions is 7:5:3.
Find its total area.
a] If Ø is empty set, the P (Ø) = --------------- .
1) zero
2) 0.5
3)1
b] If x + 2 = -4 then 2x = --------------- .
1)12
2)-12
3)13
c] Quarter of the number 48 = --------------- .
1)4
2)47
3)14
4)2
b] Find the value: [(-3)3 + (-5)2]4 .
Q5: a] If the image of the point (A, B) by the translation
4)-13
(-2, 3) is the point (5, 6). Find the coordinates A, B.
b] The following table shows the percentage of the
4)27
d] A circle its diameter is 10cm, then its area = ---- cm2.
1)10𝜋
2) 5𝜋
3)25𝜋
4)15𝜋
e](-2)zero--------------- -2zero
1) ˃
2) ˂
E.L.S.
production of one factory of the water heaters:
Type of the set First Second Third
Production
50%
30%
20%
* Represent these data by using the circular sectors.
3) =
4)≥
6th Primary
Model (7)
E.L.S.
Q3: a] If X = 3, y = -1 & k = -7. Find the value of
Q1: Complete:
2x + y - k
a] The complement of Z- with respect to Z =---------------.
b] Z = N ∪---------------.
b] Arrange the following in ascending order:
c] If the point (5, -4) the image of the point (a, b)by the
6, -60, 2, -17, -22
translation (2, -3) then point (a, b) = --------------- .
Q4: a] In the coordinates plane, determine the following
d] If the volume of a cube is 125cm3, then its total area
points A (4, 1), B (4, 3), C (1, 3) & D (1, 1) then
= ---------------.
draw the image of the figure ABCD by the
e] 23 + 23 + 23 + 23 = 2---------------- .
translation (x + 3, y + 3).
Q2: Choose:
b] A cube is of edge length 10cm & a cuboid whose
length 8cm, its width is 5cm & its height is 17cm.
a] If -7 = x + 2 then x =
1)9
2)-5
3)5
4)9
Calculate the difference between their lateral areas.
[
b] The solution set of the inequality -3 <x<-2 in Z is
1) -2, -3
2) -2
3)∅
4) -3
Q5: a] Find the solution set of the equation x + 5 =12
c] 1 - 15 + 2--------------- Z.
b] The following table shows the percentages of the
1)∈
2)∉
3)⊂
production one factory of 4 kinds of electric sets:
4)⊄
d] A coin is tossed once then the probability of getting
a head is --------------- .
1)
1
2
2)
1
3
3)
1
4
2) 2𝜋r
3)𝜋r2
Type of a set TV Washing Machine Refrigerator Cooker
Percentage 40%
30%
15%
15%
4) 1
* Represent these data by using the circular sectors.
e] The area of half circle = --------------- .
1) 4𝜋r2
if the substitution set is 3, 5, 7, 8
1
4) 𝜋r2
2
6th Primary
Model (8)
E.L.S.
Q1: Complete:
Q3: a] Use the distribution property to find:
75 × 33 + 26 × 33 - 33
1
b] An aquarium for fish is cuboid shaped it has a lid. The
represent the circle equals --------------- .
8
internal dimensions of a base is 50cm, 60cm & its
b] The multiplicative neutral element in Z is -------------- .
capacity 120 liters. Find the total area of the aquarium.
c] The additive inverse of (-3)zero is --------------- .
a] The measure of the angle of the sector which
d] The largest non-positive integer is --------------- .
Q4: a] A circle is divided into eight equal circular sectors,
1
e] lateral area of the cube = total area ÷ --------------- .
if the area of one sector = 77cm2. Findthe
4
[
circumference of the circle? where 𝜋 =
Q2: Choose:
a] The number of integers which lies between 1 & -1 =
1)Zero
2)1
3)2
4)3
𝑥
b] If = 4 then x =
2
1) 2
2) 4
3) 6
4) 8
c] The area of the opposite figure =
1)16𝜋
2) 4 𝜋
3) 2 𝜋 4)4 𝜋
d] The largest negative integer is
1) -1
2) - million 3)zero
e] Double of the number 210
1)220
2)410
22
7
b] A box contains8 white & 12 red balls, all of them are
symmetric, a ball is selected without looking inside the
box. Find the following probabilities
1- The selected ball is red.
2- The selected ball is white.
Q5: a] Find the solution set of the equation 2x-3 = -5
4
4
in N , Z.
b] One of the families spends its salary as the following:
25% for house rent, 20% for expenses, 45% for food,
4) unknown
& saves the remainder.
1- Represent these data by using the circular sectors.
3) 420
4)211
2- If the family monthly income is 1800 L.E., so how much
does the family saves in the year?
6th Primary
Q1: Complete:
Model (9)
E.L.S.
Q3: a] A cuboid with square base whose area is 64cm2
& its height is 20cm. Find: 1- the lateral area
a] A ÷ B = 1 then A =---------------.
2- the total area
b] Two consecutive numbers, the greatest is x then the
other number is ---------------.
b] Find the solution set of the equation in Z: 2x+9 =3
c] The measure of central angle of circular sector which
Q4: a] In the coordinates plane, draw∆ ABCwhere
1
represent by of the circle is--------------- .
4
A (-1, 2), B (-1, -3) & C (-4, -3). Find:
d ]If (x - 3) is the inverse of 4, then x = ---------------.
1- The length of BC & AB.
e] 29 = 8--------------- .
2- The image of ∆ ABC by the translation (x +2, y + 0).
Q2: Choose:
3- Area of ∆ ABC.
a] The area of one face of cube = --------------- .
b] Find the solution set of the inequality 5x- 3 < 7
1
1
1
1) total area
2) lateral area
3) total area
where X ∈ N then represent it on the number line.
4
6
6
4) 4 × area of face
Q5: a] Find: (5)7×(5)5
b] 26× 22 =--------------- .
- (5)12
1)23
2)212
3)24
4)28
b] The following table shows the production of 4
c] Z ∩ N = --------------- .
factories:
1) Z
2)N
3)Z4) ∅
2nd
3rd
4th
The factory 1st
d] Total area of a cube is 150cm2 then its edge length
Percentage 15% 20% 35% 30%
1)3
2)4
3)5
4)6
1- Represent these data by using the circular sectors.
27
35
e] (-1) + (-1) =--------------- .
2- Find the production of the second factory if the total
1)1
2)- 2
3)zero
4)-1
production is 20 million ton in year.
[
6th Primary
Model (10)
Q1: Complete:
Q3: a] Find the solution set of the equation
a] A mathematical sentence which contains the
equality relation is ---------------.
b] A' = (1, 5) is the image of A (3, 4) then translation =
---------------.
c] The area of a circle is49 π, then its length radius =
--------------- .
d] 24× ---------------= 1.
e] Z+∩ -7, 0, 9}= --------------- .
f] If x = -2, y = 3then 4xy = --------------- .
E.L.S.
𝑥−3
4
= 2 in Z.
b] A cuboid whose total area = 132cm2& its lateralarea =
112cm2. Findthe area of its base?
Q4: a] Use the properties of addition operation in Z to
find the result of -17 + 19 + 17
(state the used property in each step).
b] A circle its circumference is 62.8cm. Find its area.
(𝜋 = 3.14)
c] A room in the form of cuboid its inner dimensions are
Q2: Choose:
6m length, 4m width & 3m height. It is wanted to paint
a] The sum of 4 angles around the center of a circle
its lateral walls, the cost price of one square meter is
------------ the sum of 5 angles around center of a circle.
12 L.E. Calculate the required cost.
1)>
2) =
3)<
4) other
Q5: a] If the sum of the edge lengths of a cube is 48cm.
Find its total area.
b] The ratio between L.A.&T.S.A of any cube =-------b] The following table shows the percentages of the
1)1:2
2)1:4
3)2:3
4)1:6
production of 4 factories:
c] A × (B × C) = (A × B) × C is --------------- property.
factory
First Second Third Fourth
1) associative 2)commutative
3)closure
40%
10%
Percentage 15% 35%
4) multiplicative identity
* Represent these data by using the circular sectors.
d] -4 >--------------- .
1)3
2)zero
3)-3
4)-5
[
e] 42+ 42 + 42 + 42 = --------------- .
1) 24
2) 44
3) 45
4)43