Grade 9 Mtap Oral Division Finals

2015 Grade 9 MTAP Math Challenge – Division Orals 15-second question (2 points each) 1.) Determine all positive number x that satisfy Answer: x = 2 2.) What is the fourth power of ? Answer: 3.) implify Answer: !.) "f a # b = Answer: 13

.

$ what is the value of %3 # !) # 12?

&.) uppose that  x $  y  an'  an'  z  are  are positive inte(ers suh that  xy  =  = *$  xz  =  = 1+ an'  yz  =  = 1&. What is the value of  xyz ? Answer: 3+ *.) ,he yearly han(es in population of a ertain town for two onseutive years are 2+- inrease on the rst year an' 2+- 'erease on the seon' year. What is the net han(e in perent over the two year perio'? Answer: !- 'erease /.) What is the slope of the line parallel to 2 x  0  0 & y  0  0 2 = +. Answer: 2& .) ,he area of a trian(le is 1++ s4. m. What will be its area if its altitu'e is inrease' by 1+- an' its base is 'erease' by 1+-? Answer: 55 s4. m. 5.) ,he sum of two numbers is 2+1&. "f 5 is a''e' to eah of the numbers an' then eah of the resultin( numbers is 'ouble'$ what is the sum of the nal two numbers? Answer: !+** 1+.) A s4uare an' a trian(le t rian(le have the same perimeter. perimeter. "f the s4uare has area 1!! s4. m.$ what is the area of the trian(le? Answer: s4 m. 11.) 6et r an' s be the solutions of of ? Answer: &

30-second question (3 points each)

. What is the value

1.) If satises !ns"er# 1$2

, nd the sum of all numbers  that .

2.) ! man "al%s 1 %m east then 1 %m north"est. &o" far is he from his startin' point !ns"er# 2-2 %m 3.) *our men "or%in' for four das can paint + cars. &o" man cars can  men "or%in' for  das paint !ns"er#  cars

+.) he lon'er base of a trape/oid measures 10 cm and the line se'ment  oinin' the midpoint of the dia'onals measures 3 cm. hat is the len'th of  the shorter base !ns"er# + cm 5.) hat is the least possible alue of !ns"er# , -1$+



.) he point  is the midpoint of the side 4 of equilateral trian'le !4 and 6 is the midpoint of !. &o" lon' is 46 if a side of 7!4 measures 8 cm !ns"er# 29 cm 1-minute question (5 points each) 1.) If the roots of alue of n !ns"er# 8

are t"ice those

, "hat is the

2.) he len'ths of the sides of a trian'le are 10, 19 and 21 cm. &o" lon' is the altitude of the trian'le to lon'est side !ns"er# 3.) rian'le !4 is isosceles. If : ! ; 50