2011 Reviewer for MTAP - 5

pD.[lMetrobank-wltAP-DepEd 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. l-low 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 serni-c!: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 wa@ 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 c|n 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

erlrohank-NflTAF-DepEd 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 = l-x 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 x-intercept and y-intetcept of a line are

the line. 10. Find thie interseation ot the two lines

2-x

- 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 8r-8' = 2x2 -3x -2?

2{x-2).z (x-3) -1

-T

|

What are the nllrnbers? is 10 afld their product is 200 The difference of h^/o nurnbers Solve tlie equation 15x2 -i-he

- 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 (x-2) 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.

= 2x-1t

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

= bx-1

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