2011 Reviewer for MTAP - 5

8/13/2019 2011 Reviewer for MTAP - 5

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0t.ecfiJrn< 'pD.[lMetrobank-wltAP-DepEd Math Chatiet -Thirci Year

solve each itexn and write *re answer [n thre blank hefore the numbef. use z = 3.i4 wt]eqDraw 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 tess &an 3600called?2. Two lillls trat Cc rot beiong te the sari,le pla;re arc caired3. What is :he surp;ernent of l2Co ?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 pice 0f cartojina measi4gcrn?trO. A cyllndiical water tank has a diameter 0f 1.2 rn and a ]relqht 0f 1.5 m. fiowof water can it hoid dre nearest flter?11. Wlnat is the central angie 0f a circular arc equai to 3 the clncurnfeirence o,f'512. Find the nurnben of liters of wa@ a spheriaal tank of 2 nn diarneter ca:lnearest litei2

17, ,r and n are tnro paraltrel linds. What ls angle x?trE. in the same figure, if 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. If each base anEie is

anElc,

$Find


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zs. ln quacliitaterzflfi cD, $ Lts - ttoo and .,D =600 *nfis 1_a+ c,,v//27. ABCD is a parallelogram. IABC = 1200 aird IADB - 400. What is angte tsDCl28. ABCD is a trapezoid. XY ll AD; X, y are the midpoints of AB and CD, Find29. 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-

-31.

In triangle ABC, X, Y are on AB and tsC, XV li AC, BX = 3, AB = 9 and By = 3.5. Find CY.

' 26, In the flgure A=t2,yy llBC,AB = 15andAX = 9. WhatlsXD.

32, in ft. AACB, CD is the altitude t0 *. tln, *. |ff33. In the same figure, find CD34. In the figure CD is a diameter of length 8 cm, Chord AB isthe

CO. Find the lenqth of AB.

--35.A pyramid has a square base of side 50 ft and a height of 30ft.the 4 triangular sides ln sq.ft

36. A, B, C are points on a circle such that G = 6t = & finOr37. ABCD is a inscribed quarjrllateral. AD, BC are

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 ?41. Circle C is insc 'ibed in tiiangle AEC. Angle A = 500 and

angle B = 600. 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? U,14. in the figure, AD = 7 cm, DB - 5 crrr and AC = 5 cm. Find the area of45, ABCD is an inscribed quadrilateral. If .:BAD = 90o, tsC * 6 cm and

CD ='8 cm, flnd the radius of the cir.leI46. 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 BC. 14B. AABC is simila -io AXYZ with the ratio of similai'ity equal to 3:4. If the ,Spei'irneter of AAAC = 48 cm, what is the perirneter of AXYZ?49. if MBC in # 48 has an area of 54 cnn2, whai ts the area of AXYZ?

i

Find the su :face area cf

oroduced to nieet

bZ

50. In AABC, AB = 1,0 cm, AC = 12 cm and BC = 15 cm. If AD bisects lAand rxeelc BC at D


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2011 Nfl erlrohank-NflTAF-DepEd Nilathr Ctraltengetr^ rr+^ Vol rSolve each item aild write the answer in the blank before the number' Give equations in the formax+by+c=0.

1- What is the dori]ain of y =2^l>^ 1t

--2.

what is the range of ihe equaticn x2 .' y2 -25..

--,-3' Whichof the followinq is not a tunction?a)x+2Y+8=O b x2';2Y 4'=0

a. If f(x) = x2 . 2x - tr, what is f(2)? 1-5. find the values ofx such that f(x) = 4 in the equation f(x) = 2x'- :x +r'6.[f f(x) = 2x2- l and g(x) = I - 2x' find (f + 9) (2)'7. ff f(xi = l-x and 9(x) = x2 ' t, what is fog(z)?8. ff a line passes th 'ough Fl (2,3) and P2 (0'5)' does the lil, e go trpward ior downvrard tothe right?9. T,,xe x-intercept and y-intetcept of a line are -2 arid 4 respectively Wrl( tne equstion ofl

)r^-c. x' ,1 Y- =z)

the line.10. Find thie interseation ot the two lines 2-x - 5y = 11 aM 5x + y = 14 ili.Writetheequatjot']ofthetrinepassinqtl.l{oughp(2,-3)andParaueltotheiliqe2x:3y=10i

16. Find the veltex of the function y = 2x2 trx -2 '17 lind the llne of symmetry'ol tFe funcliofl y = 2x2 8r-8'

--18. lvhat is the nrininrNurn value of the functicn y = 2x2 -3x -2?2{x-2) (x-3)19. Solve tor x: -- z -1t9. Sotvercrx: T . -1 |. ..-20. The difference of h^/o nurnbers is 10 afld their product is 200 What are the nllrnbers?

---2x Solve tlie equation 15x2 - l1x + 2 = 0',---22' -i-he roots of an equation are ) ana I writ" it" eouation'

--23.

A rnan rowed 30 km downstream ll .took 5im 2- hours rnore time in' golnq back thd 'r'n

goinq oownstrJa'm: ri il 'ouJ'*t is 2 kph' what is his speed in st ll wales?


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-.- 24. If the roots of xz +x -2 -A are each increaieC 6[r, wnat is the new equation?Solve the inequality x2 + 3x -10 > 0 .WhaL is ihe center of the circle xz ,y2 ,2,.- 4y -20 = O?

27. Find the product of (x+2) and (2x2 + x + 3).28. What is the remainder if (x4 + 3x2 +.6x - 5) is divided by x - 2?

30. simplify a3b21c21z 3 z.31. What is the range of the function y = 2x-1t

. ,-32. There are 104 bacteria in a certain culture, The growth follows the functibnN(t) = N(o)22t where t is in hours. How many bacteria shall there be ader 3 hours?

i

-29. Find the value of k. if (x-2) is a factor of x2 + kx + k = 0.1

Write the equation y = bx-1 in logarithmic form.

I

i.I

I

I

*_=-39. Two points A and B on the circle x2 * y2 = 25 form a central angtethe 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

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2011 Reviewer for MTAP - 5