6th model (1) e.l.s. q1: complete: q3: a] find the … primary model (2) e.l.s. q1: complete: a] the...

6th Primary Model (1) E.L.S.

Q1: Complete: a] The next number in the pattern 4, -12, 36, -------------- . b] The additive inverse of (-1)2 is ---------------. c] If A (3, -2), B (3, 5) then AB = -------------- length unit. d] A fair die is thrown once, then the probability of appearing a number ≤ 6 is --------------- . e] Z - Z- = --------------- . [

Q2: Choose: a] If A ˃ B, then (-3A) --------------- (-3B). 1) ˃ 2) ˂ 3) = 4) ≤

b] If the perimeter of one face of a cube = 4cm., then its lateral area = --------------- cm2. 1) 16 2) 64 3) 8 4) 4

c] N - Z = --------------- . 1) Z+ 2) Z- 3) Ø 4) {0}

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 4) 6

Q3: a] Find the solution set of inequality 5 - 2x ≤ 7 where

X∈ Z then represent it on number line. b] Find: (-5)3×(-5)2 (-5)5

Q4: a]A case in the shape of a cuboid without a lid, its base is a square of side length 6cm & the height of the case is10cm. Calculate its lateral area & its total area? b] Circle M is drawn inside a rectangle with length 8cm& width 7cm M M 7cm Calculate the area of the shaded part? (π =!!

!) 8 cm

Q5: a] Find the solution set of the following equation in Z:

3x + 2 = -22 b] The following table shows the production of 4 factories:

The factories 1st 2nd 3rd 4th

Percentage 35% 15% 20% ------- %

1- Complete the table.

2- Represent these data by using the circular sectors.


Q1: Complete: a] The lateral area of a cuboid with square base whose side length is 3cm & its height is 6cm = ------------- cm2. b] Sample space is --------------- . c] If A is the additive inverse B then A + B = --------------- . d] The term with order is 99 in the pattern !

!, !!, 34, !!,----

is --------------- . e] The lateral area of a cube is 100cm2, then its total area = --------------- cm2. [

Q2: Choose: a]The additive inverse of (-3)zero is--------------- . 1) 3 2) 1 3) -1 4) -3 b] If the area of a circular sector = !

! area of its circle,

then the measure of its central angle = --------------- . 1) 45° 2) 60° 3)90° 4) 180° c] A circle of diameter length 2cm, then its area = ---------- square unit. 1) 𝜋 2) 2𝜋 3) 13.4 4) 1.34 d] Half of the number (2)10 is --------------- . 1) 25 2) 29 3) 15 4) 49 e] (-8)÷ (-2) =--------------- . 1) 2 2) -2 3) 4 4) 3

Q3: a] Find the solution set of inequality in where X∈Z: 3X - 5 < 4

b] A box contains 80 similar balls, some of them are red & the rest is blue, if the probability of drawing a red ball is !

! , find the number of a blue balls?

Q4: a]A cube of total area is 384cm2, Find: 1- The area of one face. 2- Its lateral area.

b] A circle with diameter 70cm is divided into fiveequal circular sectors. Calculatethe area of one sector. (Π = !!

!)

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 students in one school:

Rate Excellent Good Pass Weak Number of students 30 100 50 -------

1- Complete the table. 2- Represent these data by using the circular sectors.


Q1: Complete: 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 = --------------- . [

Q2: Choose: a] (-2)--------------- -2 . 1) ˃ 2) ˂ 3) = 4) ≤

b] The value of 3 × - 5 -(2 × 3)2÷ 4 is --------------- . 1) -31 2) -16 3) -24 4)!!"

!"

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] !!"!

--------------- Z

1)∈ 2)∉ 3)⊂ 4)⊄

Q3: a] Find the solution set of inequality in where X ∈Z: X - 2 < -1

b] A circle with radius 10.5cm is divided into six equal circular sectors. Calculate the area of one sector. (Π = !!

!)

Q4: a] A cube with volume 8cm3Findits total area.

b] In opposite figure AC a diameter. D In a circle M, & AC is a diagonal, In the square ABCD, If AC = 20cm C A Find the area of the shaded part Where (𝜋 = 3.14) B

Q5: a] In the ideal student competition of one of the schools, 63 students applied for the competition, if the probability that one of the girls is an ideal student is !

!,

Find the number of girls who participate in the competition. b] The following table shows the professional statusfor some persons: Professional Status Teacher Worker Doctor Engineer Sum

Percentage 350 500 100 50 1000

* Represent these data by using the circular sectors.


Q1: Complete: 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 --------------- . Q2: Choose: a] The perimeter of a circular sector is 86cm, the length of its arc = 44cm, then the radius = -------------------- cm. 1) 42 2) 21 3) 14 4) 28 b] Natural number included between 1 & -4 is------------- . 1) -3 2) zero 3) -1 4)-2 c] If A = 3, B = -2 then 3AB = --------------- . 1) 18 2)-12 3)-2 4)-18 d] The image of the point (3, 5) by the translation (x + 2, y - 1) is --------------- . 1)(5, 6) 2)(5, 4) 3)(1, 4) 4)(1, 6) e] Which of the following can be a probability of an event --------------- . 1)zero% 2) -1 3)!"

!" 4)101%

Q3: a] Arrange the following in descending order: (-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). b] Find the solution set of the following equation in Z: 2X + 9= -13 Q5: a] A circle M is drawn inside a square of side length 14cm. Calculate the area of the shaded part (Π =!!

!)

b] The following table shows the percentages of the

production of chicken in four farms within one month:

Farms First Second Third Fourth

Percentages 40% 20% 25% -------

1- Complete the table.



Q1: Complete:

a] !! of 25 = --------------- .

b] The translation is happened by known magnitude & -------------------- . c] The area of one face of the cube = total area ×------

= lateral area ×--------- d] Surface area of the circle = -------------------- . e] The circular sector is -------------------- . [

Q2: Choose: a] Z - N = --------------- . 1)Z+ 2)N 3)Z- 4){0}

b] Z+∩Z-= --------------- . 1) Z+ 2) N 3){0} 4)∅

c] -5 + -------------------- = zero. 1)5 2)1 3)zero 4)-5

d] !!= 23, then x =--------------- .

1)12 2)14 3) 16 4)18

e] The measure of the angle of the circular sector which represents !

! of a circle--------------- .

1) 90° 2) 180° 3) 360° 4) 270°

Q3: a] In the opposite figure: ABCD is a square inside the circle A D in which its area 24.5cm2 Find: the area of the shaded part? (π = !!

!) B C

b] Find the solution set in Z of the equation: 2 (2X + 3) = 30

Q4: a] Find the value of: (-7)6×(-7)3 (-7)5×(7)2 b] The sum of lateral area & total area of a cube = 360cm2. Find its volume.

Q5: a] If 9x + 2= 29. Find the value of (x + 2).

b] One of the families spends its salary as the following:

30% for food, 20% for cloths, 25% for house rent &

saves the remainder.


2- If the family monthly income is 1200 L.E., so how much

does the family save in month?


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: a] If Ø is empty set, the P (Ø) = --------------- . 1) zero 2) 0.5 3)1 4)2

b] If x + 2 = -4 then 2x = --------------- . 1)12 2)-12 3)13 4)-13

c] Quarter of the number 48 = --------------- . 1)4 2)47 3)14 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) ˂ 3) = 4)≥

Q3: a] Use the properties of addition in Z to find: 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.

b] Find the value: [(-3)3 + (-5)2]4 .

Q5: a] If the image of the point (A, B) by the translation

(-2, 3) is the point (5, 6). Find the coordinates A, B.

b] The following table shows the percentage of the

production of one factory of the water heaters:

Type of the set First Second Third

Production 50% 30% 20%



Q1: Complete: a] The complement of Z- with respect to Z =---------------. b] Z = N ∪---------------. c] If the point (5, -4) the image of the point (a, b)by the translation (2, -3) then point (a, b) = --------------- . d] If the volume of a cube is 125cm3, then its total area = ---------------. e] 23 + 23 + 23 + 23 = 2---------------- . [

Q2: Choose: a] If -7 = x + 2 then x = 1)9 2)-5 3)5 4)9

b] The solution set of the inequality -3 <x<-2 in Z is 1) -2, -3 2) -2 3)∅ 4) -3

c] 1 - 15 + 2--------------- Z.

1)∈ 2)∉ 3)⊂ 4)⊄

d] A coin is tossed once then the probability of getting a head is --------------- . 1)!

! 2) !

! 3) !

! 4) 1

e] The area of half circle = --------------- . 1) 4𝜋r2 2) 2𝜋r 3)𝜋r2 4)!

!𝜋r2

Q3: a] If X = 3, y = -1 & k = -7. Find the value of

2x + y - k b] Arrange the following in ascending order:

6, -60, 2, -17, -22 Q4: a] In the coordinates plane, determine the following points A (4, 1), B (4, 3), C (1, 3) & D (1, 1) then draw the image of the figure ABCD by the translation (x + 3, y + 3). b] A cube is of edge length 10cm & a cuboid whose length 8cm, its width is 5cm & its height is 17cm. Calculate the difference between their lateral areas.

Q5: a] Find the solution set of the equation x + 5 =12

if the substitution set is 3, 5, 7, 8 b] The following table shows the percentages of the

production one factory of 4 kinds of electric sets:

Type of a set TV Washing Machine Refrigerator Cooker

Percentage 40% 30% 15% 15%



Q1: Complete: a] The measure of the angle of the sector which represent !

! the circle equals --------------- .

b] The multiplicative neutral element in Z is -------------- . c] The additive inverse of (-3)zero is --------------- . d] The largest non-positive integer is --------------- . e] !

! lateral area of the cube = total area ÷ --------------- .

[

Q2: Choose: a] The number of integers which lies between 1 & -1 = 1)Zero 2)1 3)2 4)3

b] If !! = 4 then x =

1) 2 2) 4 3) 6 4) 8

c] The area of the opposite figure = 4 1)16𝜋 2) 4 𝜋 3) 2 𝜋 4)4 𝜋 4

d] The largest negative integer is 1) -1 2) - million 3)zero 4) unknown

e] Double of the number 210 1)220 2)410 3) 420 4)211

Q3: a] Use the distribution property to find: 75 × 33 + 26 × 33 - 33

b] An aquarium for fish is cuboid shaped it has a lid. The internal dimensions of a base is 50cm, 60cm & its capacity 120 liters. Find the total area of the aquarium.

Q4: a] A circle is divided into eight equal circular sectors, if the area of one sector = 77cm2. Findthe circumference of the circle? where 𝜋 = !!

!

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

in N , Z.

b] One of the families spends its salary as the following:

25% for house rent, 20% for expenses, 45% for food,

& saves the remainder.


2- If the family monthly income is 1800 L.E., so how much

does the family saves in the year?


Q1: Complete: a] A ÷ B = 1 then A =---------------. b] Two consecutive numbers, the greatest is x then the other number is ---------------. c] The measure of central angle of circular sector which represent by !

! of the circle is--------------- .

d ]If (x - 3) is the inverse of 4, then x = ---------------. e] 29 = 8--------------- . [Q2: Choose: a] The area of one face of cube = --------------- . 1)!

! total area 2)!

!lateral area 3)!

! total area

4) 4 × area of face

b] 26× 22 =--------------- . 1)23 2)212 3)24 4)28

c] Z ∩ N = --------------- . 1) Z 2)N 3)Z- 4) ∅

d] Total area of a cube is 150cm2 then its edge length 1)3 2)4 3)5 4)6

e] (-1)27 + (-1)35=--------------- . 1)1 2)- 2 3)zero 4)-1

Q3: a] A cuboid with square base whose area is 64cm2 & its height is 20cm. Find: 1- the lateral area 2- the total area

b] Find the solution set of the equation in Z: 2x+9 =3

Q4: a] In the coordinates plane, draw∆ ABCwhere A (-1, 2), B (-1, -3) & C (-4, -3). Find: 1- The length of BC & AB. 2- The image of ∆ ABC by the translation (x +2, y + 0). 3- Area of ∆ ABC. b] Find the solution set of the inequality 5x- 3 < 7 where X ∈ N then represent it on the number line.

Q5: a] Find: (5)7×(5)5 - (5)12 b] The following table shows the production of 4

factories:

The factory 1st 2nd 3rd 4th

Percentage 15% 20% 35% 30%

1- Represent these data by using the circular sectors. 2- Find the production of the second factory if the total production is 20 million ton in year.


Q1: Complete: 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 = --------------- . [

Q2: Choose: a] The sum of 4 angles around the center of a circle

------------ the sum of 5 angles around center of a circle. 1)> 2) = 3)< 4) other

b] The ratio between L.A.&T.S.A of any cube =-------- 1)1:2 2)1:4 3)2:3 4)1:6

c] A × (B × C) = (A × B) × C is --------------- property. 1) associative 2)commutative 3)closure

4) multiplicative identity d] -4 >--------------- . 1)3 2)zero 3)-3 4)-5

e] 42+ 42 + 42 + 42 = --------------- . 1) 24 2) 44 3) 45 4)43

Q3: a] Find the solution set of the equation !!!!

= 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 6m length, 4m width & 3m height. It is wanted to paint its lateral walls, the cost price of one square meter is 12 L.E. Calculate the required cost.

Q5: a] If the sum of the edge lengths of a cube is 48cm. Find its total area. b] The following table shows the percentages of the production of 4 factories:

factory First Second Third Fourth Percentage 15% 35% 40% 10%


6th model (1) e.l.s. q1: complete: q3: a] find the … primary model (2) e.l.s. q1: complete: a] the...

Documents