pD.[lMetrobankwltAPDepEd Math Chatiet Thirci Year
0
\,r
t.ecfiJrn< ' solve

each itexn and write *re answer [n thre blank hefore the numbef. use z = 3.i4 wt]eq Draw any figure you need t0 help yo{.r. Leave sirnplified ,adicals and fnacHons in the answek. 1.
!{har is an angie greaier &an i80o but
2. Two
lillls trat
Cc
rot beiong te the
3. What is :he surp;ernent of l2Co
tess
&an 3600called?
sari,le pla;re
arc caired
?
4, What is an intei'ior angle of a reguiar cctagon?
=*_._5.
I'low niany distinct dfagonals can be dratvn in a rionagon?
6. llow rnany degsees is one extertor angle of a regillar pentaqon? 7. The two parallen sides of an isosceles trapezold are 10 ain and 20 o"i resp^ctvely
the acute angles is 600 , find ffie area of h€ Sapezofld. 8. A circle is drawn inside a sernic!:de of nadlus t0 cm. Determlne flne area of
out$de the ci!'ate lio the neanest terith of a cm2
"
9, l'{ow nnany circlm of radius 6 crn car be cut fiom a pi€ce 0f cartojina measi4g crn? trO. A
cyllndiical water tank has a diameter 0f 1.2 rn and a ]relqht 0f 1.5 m. fiow of water can it hoid dre nearest flter?
11. Wlnat is the central angie 0f a circular arc equai '5
to
3
the clncurnfeirence o,f
12. Find the nurnben of liters of
[email protected] a spheriaal tank of 2 nn diarneter ca:l nearest litei2
17,
,r and n are tnro paraltrel linds. What
trE.
in the same figure, if
ls angle x?
zX = (3x + E)o and 12 = {4x  7}c, find
z3)
anEle.
20. :n AABC,
lB
= 30oand zA = 550. Fnd Me exten'i3r an3tre at C.
21. W$rat is the su r 0f ffie angles 0f a hepkgon? 22. AEC is an ara wlth center O, ICOB = 400 and ZEOA ." 700. Find IACB
.
23. AtsCD Is a nhornhus wlth anEle IABC = 500.llhe diagonals Dts and AC mee,i ZACE
'
.
24. AABC is isosceles. anElc,
If
each base anEie is
$ Find
zs. ln quacliitaterzflfi cD, $ Lts
// '
26, In the flgure
A=t2,yy

ttoo and .,D =600
llBC,AB = 15andAX = 9. WhatlsXD.
27. ABCD is a parallelogram. IABC = 1200 aird IADB 28. ABCD is a trapezoid. XY
*nfis 1_a+ c, !,v
ll
 400. What
is angte tsDCl
AD; X, y are the midpoints of AB and CD, Find
29. Lines AD, BE, and CF are paraliel lines. Find EF.
,30.
In AABC, X, Y are the midpoints 0f AB and BC. Find Xy if AC = 9

In triangle ABC, X, Y are on AB and 32, in ft. AACB, CD is the altitude t0
tsC, XV
*.
tln,
AC, BX = 3, AB = 9 and By
li
*.
3.5. Find CY.
ff
33. In the same figure, find CD
31.
=
34. In the figure CD is a diameter of length 8 cm, Chord AB isthe CO. Find the lenqth of AB. i
A pyramid has a square base of side 50 ft and a height of 30ft. Find the su!:face area cf the 4 triangular sides ln sq.ft
35.
36. A, B, C are points on a circle such that
r37.
ABCD
is
a
G
=
6t = &
finO
inscribed quarjrllateral. AD, BC are oroduced to nieet
zB = 800 and 1X
 300
find rXCD.
38. TAP is tangent to circ{e 0 at A. Arc AtsC is 2400. What is /CAP?
1 5u, find IAEC.
40, AT and CT are tangents to circle 0 at A and C. If the nrinor arc AC is 110o,, flnd , T ?
b 41. Circle C is insc!'ibed in tiiangle AEC. Angle A angle B
= 600.
=
500 and
Z
Find arc Xw in deErees.
42, ABC is a secant and AD is tanEent io circle O at D. ff AB is 10 cn and EC is 15 cn, what is AD? 43. ABCD is a quadrilateral wlih AB = 8, BC = 13 and DC = 15. What is the maximum pcssibie integral value of AD? ,14.
in the figure, AD = 7 cm, DB

5 crrr and AC
45, ABCD is an inscribed quadrilateral. CD
If
.:BAD
= 5 cm.
= 90o,
U
Find the area of
tsC
*
6 cm and
='8 cm, flnd the radius of the cir.le I
46. In the figure, AB = 10 cm, AE = 8 cm and tsE = 6 cm. Find the area of AtsCD. 47. ]n the figure XY
ll
BC, AB
1s
divided Ei X so that AX: Xts = 3:4. Find
4B. AABC is simila!io AXYZ with the ratio of similai'ity equal to 3:4. If pei'irneter of AAAC = 48 cm, what is the perirneter of AXYZ?
49.
if MBC in #
50. In AABC, AB
BC. 1
the
,S
48 has an area of 54 cnn2, whai ts the area of AXYZ?
=
1,0
cm, AC = 12 cm and BC = 15 cm. If AD bisects
lAand rxeelc
BC
at
D
2011
Nfl
erlrohankNflTAFDepEd Nilathr Ctraltenge tr^ rr+^ Vol r
the form before the number' Give equations in Solve each item aild write the answer in the blank
ax+by+c=0. 1
What is the dori]ain of y
what
.' y2 25.. the range of ihe equaticn x2
Which of the followinq is not a tunction?
,3'
b x2';2Y
a)x+2Y+8=O a.
2.
is
=2^l>^ 1t
If
f(x) = x2
.
c.
4'=0
,1 x')r^Y =z)
2x  tr, what is f(2)?
4 in the equation f(x) = 5. find the values ofx such that f(x) =
l
and g(x) =
6.[f
f(x) = 2x2
7. ff
f(xi = lx and 9(x) =
x2
8. ff a line passes th!'ough
I
' t,
Fl
1:x +r' 2x'
2x' find (f + 9) (2)'
what is fog(z)?
(2,3) and
P2
(0'5)' does the
lil,
e go trpward ior downvrard to
the right? 9.
T,,xe
2 arid 4 respectively xintercept and yintetcept of a line are
the line. 10. Find thie interseation ot the two lines
2x
 5y = 11 aM 5x + y =
Wrl( tne equstion of l
14 i
li.Writetheequatjot']ofthetrinepassinqtl.l{oughp(2,3)andParaueltotheiliqe2x:3y=10 i
= 2x2
y 16. Find the veltex of the function
trx
2
y 17 lind the llne of symmetry'ol tFe funcliofl =
18.
_t9. . ..20. 2x
,22'
23.
lvhat
is
the
tor x: 19. Solve Sotvercrx:
nrininrNurn
value of the functicn y
'
2x2 8r8' = 2x2 3x 2?
2{x2).z (x3) 1
T

What are the nllrnbers? is 10 afld their product is 200 The difference of h^/o nurnbers Solve tlie equation 15x2 ihe
 l1x
roots of an equation are
+
)
2 = 0'
ana
I
writ" it" eouation'
golnq back thd!'r 'n 5im 2 hours rnore time in' ll downstream km 30 rowed rnan A .took what is his speed in st ll wales? kph' goinq oownstrJa'm: ri il!'ouJ'*t is 2
.
24. If the roots of xz +x
2 A
Solve the inequality x2 + 3x
are each increaieC
10
>0
WhaL is ihe center of the circle xz
6[r,
wnat is the new equation?
.
,y2 ,2,. 4y 20 = O?
27. Find the product of (x+2) and (2x2 + x + 3). 28. What is the remainder
29.
if (x4
3x2 +.6x  5) is divided by x  2?
+
Find the value of k. if (x2) is a factor
of x2
+ kx + k = 0.
1
I
3
30. simplify a3b21c21z
z.
31. What is the range of the function y
. ,32.
= 2x1t
There are 104 bacteria in a certain culture, The growth follows the functibn
N(t) = N(o)22t where t is in hours. How many bacteria shall there be ader 3 hours? i
Write the equation y Solve the equation
= bx1
in logarithmic form.
log1ex  4) =
i.
4,
Solve for x the equation log327 = x
I
. I
.,*_.36. 34.
Find x
if
tog2 (log
2
(tog? x) =
0.
I
37. Find the inverse relations of the function f(x)
= x2 + 2x *
3

38. How many degrees, to the nearest degree, does an arc cf 10 crn subtenl if the radius of the circle is 5 
im?
*_=39.
Two points A and B on the circle x2 * y2 = 25 form a central angte of +5 degrees. Find the length of the arc AB to the nearest tenth. 40. If sin e is
?
;,
Whar is sec
0 if B
is in the first quadrant?
41. What is the exact value of cos 1350.?
42. Find the exact value of {cos
l)ttan{).
43. For 0o