1. Evaluate: 67^2-66^2 (hint : Use sum and difference of two squares factoring 2. !hat is the coefficient of "^#$^% in the e"&ansion of ("'$^) ( *int: +inomial ,heorem #. ,he length of a rectangle is % more than twice twice the width. f the &erimeter is %cm. !hat is the area of the rectangle) . the su&&lement of the angle is more than twice its com&lement. !hat is the angle) %. !hat is the greatest integer function of ./) 6. !hat is the domain of f("0sqrt2-sqrt"-233) (*int: 4ange and 5omain of a function 7. !hat is the range of equation in 6) . ind a quadratic equation with integral coefficients if one root of quadratic equation is #-sqrt23. /. ind the value of 8 and + if "^2-08("-6'+("'6. 19. ind the area of a triangle enclosed $ the "-a"is; $-a"is and the line 2"'#$06. 11. ,he area of a square is numericall$ equal to its &erimeter. !hat is the minimum are of the square with such &ro&ert$) 12. actor com&letel$: "^'6. (*int: <, 1#. !hat is the remainder when 2"^2-#"'1 is divided $ "-2) ( hint: remainder theorem 1. ohn is travelling to school with a s&eed of 1 ?&h and come ac? home with a s&eed 22 ?&h. !hat is his average s&eed) ( hint: 8verage <&eed 1. *ow man$ squares are there in a standard cheesoard) 1/. 19 &eo&le are sitting around a round tale. Each one them made a handsha?e with each other. *ow man$ handsha?es occur if each one of them refused to have a handsha?e with the &erson right eside them) ( *int: *andsha?e @rolem 29. f "^2-#"'109. !hat is the value of "^'dis&la$st$lefrac13"^3) (hint: 8lgeraic dentities
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What is the slope of the line with equation 3x-2y+4=0?
2.
If 26 incease! "y 4 ti#es a nu#"e $i%es the sa#e esult as 1 incease! "y & ti#es a nu#"e. What is the nu#"e?
3.
'he su# of two nu#"es is 10 an! thei !i(eence is 4. What is thei po!uct?
4.
)%aluate*
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,ane has 3 pais of "louse3 pais of pants an! 2 pais of shoes. ow #any possi"le ways ae thee fo he to choose an out/t?
6.
What ae the oots of
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In tian$le
5.
o what %alue of 7 will #a7e 2x-7y+1=0 paallel to x-y+1=0?
&.
'he te# that efes to an opinion o conclusion fo#e! on the "asis of
. What is the lon$est si!e of the tian$le?
inco#plete info#ation. 10. 'he atio of "lue "alls to white "alls is 1*2 the atio of the white "alls to e! "alls is 3*4. What is the atio of the "lue "alls to e! "alls?
8verage 1. ow tian$le can "e fo#e! if two si!es ha%e len$ths 12 an! 21 an! the thi! si!e has an e%en len$th? 2. ow #any positi%e inte$al !i%isos 2 ha%e? 3. If what is the %alue of x? 4. in! the !o#ain of the function . What is the coo!inate of the cente of a cicle ?
5ifficult: 1.
in! the %alue of
2.
in! the su# of the seies
3.
8ationali9e*
4.
,ohn !o%e 50 7# !ownhill with a spee! of 40 7ph an! went "ac7 at the spee! of 107ph. What is ,ohn:s a%ea$e spee!?
.
'he atio of the an$les of qua!ilateal is 2*3*4*6. What is the #easue of the la$est an$le?
