[left]) Complete:
1) If 5 ∈{ 3 ,2 ,x } , then X = …………..
2) 2/5is the reciprocal of ……………….
3) 41/3 minutes =…………………. Seconds.
4) 7.81 × 1000 = 78.1 × ………….
5) 11/2÷ 32/3 = ………………
6) If 7 ∈{2 ,5 ,x+3} , then x= …………
7) If y⊂ X then y ∩ x = ……..
If X⊂ Y then X ∪ Y = ………..
9) 3 1/8≅ …………. To the nearest hundredth.
10) 42.5 + 6.148 = ………………................. ≅ …………………….. to the nearest 1/10
11) 255 hours ≅ ……………… days .
12) The diameter length of the circle whose radius 4 cm is ……………..
13) The probability of the certain event is …………………
14) The probability of the impossible event is ……………………
15) If the probability that a pupil passes en exam is 8/10 , then the probability
that this pupil fails is ……………….
16) If X∪ Y = ∅ , then each of x and y is …………………..
17) If X ∪ y = y , then X ∩ y = ………………
18 )3/5<x/10<4/5 , then x = ………………
19) If {a ,5 }= {b ,3 }, then a = ……….. , b = ……………..
20) {7,6 }∪{7 ,8 ,9 } = ……………………
21) If {2 ,5 ,7 }∩{3 ,7 ,1} = ……………………..
22) The longest chord of the circle is …………………….23) If a/7 = 1 , then a = ……………………
24) 4.5 ÷ ……… = 18
25) …………… ÷ 1000 = 8.31
26) If {2 ,3 } - {3 ,x }= ∅ , then X = ………………
27) If 5∉{1 ,x ,4 } , then x = ……………………
28) If 8 ∈{ 3 ,2x ,5}, then x = …………………. U
29) 1.9 , 2.8 , 3.7 , ……………….. , …………………….
30) In the opposite Venn diagram : A ̀ = ……………….
2 Choose the correct answer:
1) 23.4359 ≅ ……………… to the nearest thousandth. ( 23.44 , 23.436 , 23.4 , 23.43)
2) Number of altitudes of an obtuse angled triangle is ……………. ( 0 , 1 , 2 , 3 )
3) 345.6cm≅ ………………. meters. ( 3 , 4 , 3.4 , 5 )
4) X ∩ X ̀= ………………………. ( X , X ̀ , U , ∅ )
5) 172 × 0.003 …………… 0.172 × 0.3 ( < ,> , = )
6) If ( x)/(
= 15/24, then x = ……………….. ( 3 , 5 , 4 , 12 )
7) 31/8≅ …………. To the nearest hundredth.( 3.15 , 3.13 , 3 , 3.1 )
If M = {5 ,2 ,3 }∩{1 ,5 }, then M …………….{2} (∈ ,∉ ,⊂ ,⊄ )
9) {2 ,11} ………………….{set of odd numbers} (∈ ,∉ ,⊂ ,⊄ )
10) 4 ………………….. {set of factors of 12} (∈ ,∉ ,⊂ ,⊄ )
11) ∅ ………………… {0}. (∈ ,∉ ,⊂ ,⊄ )
12) The decimal which is included between 0.6 and 0.7 is ……………..( 0.71 , 0.59 , 0.61 , 0.72)
13) 19.45 × 100 = ……………….. ( 0.1945 , 1945 , 1.945 , 194.5 )
14) If X⊂ Y and Y⊂ X, then ……………….. ( X = Y , X , Y , X-Y = X )
15) 3 ……………. {2 ,3 }∩ {2 ,4 } (∈ ,∉ ,⊂ ,⊄ )
16) {2 ,3 ,5 }∩∅ = ……………………. ( ∅ , {2 ,3 ,5 } , {0} )
17) If U = { 1 ,2 ,3 ,4} and A ̀ = {1 ,4 }, then A = ………… ( {2} , {3} , ∅ , {2 ,3 } )
18) The probability of the sure event = ……………… ( 0 , 1 , ∅ , 1/2 )
19) The sum of probabilities of the outcomes of a random experiment
equals ………….. (0 , 1 , 1/3 , 2/5 )
20) The probability of getting the number zero when tossing die once is …………
( 0 , 1/2 , 1/6 , 1 )
21) 67 months ≅ ……………. Years.( 5 , 6 , 7 , 8 )
22) 1 …………………… {11}{∊ ,∉ ,⊂ ,⊄}
23) The probability of any event may equal …………… ( 5/4 ,7/8 ,3/2 ,1.2 )
24) ( X ̀ ) ̀ = ………………. ( X , U , Y , X ̀ )
25) A die is tossed ones. The probability of getting a prime number is ………. ( 1/3 , 1 ,∅ , 1/2 )
26) The length of radius of the circle whose diameter of length 8 cm. is ……..cm.
( 4 , 8 , 16 , 2 )
27) The chord of the circle M is ………………..
A B
( MC , AM , BC , MB )
C
28) In the opposite figure: C
AB is a …………….. A B
( radius , diameter , chord)
3) Answer the questions :
1) Rania made some juice. She gave 1/4 of it to her neighbor and poured the rest equally into 9 bottles. What fraction of the juice did each bottle contain?
2) A teacher bought a piece of cloth 10.5 meters long to be distributed equally among excellent girls. She gave each girl a piece of 1.5 m . How many excellent girls are there?
3) If water is poured in a box at a rate of 1.45 liters each hour, calculate the amount of water poured in 4.8 hours?
) Marwa had L.E. 60 she spent 1/3 of her money on meat and 1/4 of the money on vegetables. How much did she spend altogether?
5) In a school ,2/5 of the pupils are girls and 900 are boys. What is the total number of pupils in this school?
6) Find the area of the square whose side length is 4.06 m. to the nearest hundredth.
7) Hany has 30 pounds. He bought 12 cans, each for 1.85 pounds. What is the remainder with him?
8)A card is drawn at random from 10 ards numbers from 1 to 10 find the probability that the drawn card carries:
a) A prime number.
b) An even number greater than 6
9) A box contains cards numbered from 1 to 20 .if a card is drawn randomly , the probability that the card number is divisible by 6 ?
10) Draw the triangle ABC where AB = 7.5 cm. , BC = 10 cm. and CA = 8 cm.
, draw the altitude from A to BC and measure its length.
11) Draw the triangle ABC in which: AB = 6 cm. , BC = 3 cm. and m( ∠ B ) = 60° Measure the lengths of the altitudes of the triangle ABC
12) Draw a circle M of radius 3 cm. Draw the diameter AB and the chord AC of length 4 cm. Draw BC and find it’s length.
18) Use the opposite Venn diagram to list the following sets. U
A 3 B
a) A∩ B b) A - B
c) A∪ B d) A ̀ 4 5
19) Use the opposite Venn diagram , list each of U
a) X ∩ Y ∩ Z e) X ̀ 4 X 1 3 Y
b) X ∪ Y f) Y – Z 2 6 Z
c) Y - X z) X∪ Z
20) IF U = {2 ,3 ,4 ,………….,9 } , A = {2 ,3 ,9 } , B = {2 ,3 ,7 } , C = {2 ,6 ,7 ,8 }
1) list C ̀ , A∩ B , A ∪ B , A∩B∩C , A- C
2) represent U , A , B and C on a Venn diagram.