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Metrobank-MTAP-DepEd Math Challenge 2013 Grade Z Narne:

School: Instruetioa: Write your alswer on the space provided before each item- Give all fractione ir1 lo*tet terms and all expressions in exparided form.

simpriry:

lr,u,':

1,s1

IY,o:f*

tr:

(r- ;) -r- (, - i) _l (r- 1\ 4)

{a,b,c,d,,e}, B

mt" ,Orffi

:

{a.e,i,o,u!, andC= {e,f,s,h,il. Find

(,4 n

B) u (B n C).

in s€ientific notation.

4. Nonoy left Butuan City to drive to Cagayan de Oro City at 6:15 pM and arrived g:1b pM. If he averaged 80 kph and stopped 30 minutea for dimrer, approcimately how far is Cagayan de Oro from Butua.n?

simpritu: (r-,)'- (r-,-i)' r--:3-'. tq,fifF.

'Ll

,y,'r,t,t.t.t

1cl'

ser u be {1,2,3,...,20i. If 18,20}, tud (S u E u T)/.

*t,.O",niversal

T W-^ *14

:

{1.1. 16, 17,

r.

wuu, i" tnu product of two

8,

Two

^tl

angl,es are

s = {2,4,6,8,

consecutive odd nurnbers

10,

12}, E

=

{3,6,9, 12, 15,r8}, and

if the largqer number is Bo -

4?

supplementary. One angle ie 2lo less than thrice the othbr. What is the complement

o{ the smalier angle?

as/ !r',rt

OE

-+-

9. Simoiify: ffi.

;-;

ln Ler recept mo'thly paydsy, ehe receivEil Php 2r 0oo- Hqw much was her total 12. Sirnplifu:

It

(r+

-2)

- (x+2)(a-

3)

+ (, + 3)(o

-

+)

- (o + a)(a - b).

13. How many two-digit prime numbers are there whose ureits digit is greater than its tens digit?

c AJ-*J-- 74. Nila is now years

lt_

-71+2?

1)(o

saleg laat.Eonth?

age ten

old. Three years ago, her brother fucky was twice as old from now in terms of c. yea.rs

as she.

write Ricky's

15. In the Math Department ofa school, l0 teachers have Yahoo! accounts, 13 have Gmail accounts, and 6 have bottr accounts. Hon' many teachers in the department have Yahoo! or Gmail acmurrts? 18. Together, Peari and Ha.rrey a.re going to visit their aunt on sunday. If Pearl visits their aunt every 6 days, while Harvey every 8 da1's, on what day will they visit their aunt together agsin? L7. What should be added

to

(.r

-

3)(z + 2) in order to get (r

-

4)2?

_tep 14" Sirnplify: /li.a " rOo -. 2.55 x toal * 6.9 x looo _ 19. Iu a triangie, one r"gle ie tvrice the second, end the third angle is 20o lesq than the second. what 103.

Nwtr1*-" qtn.t xr+t t2{ .::::,::lT:: ,- ZQ. :.;}: It'cbsts (c+3) peaos per :i:i square foot to painl a wall. If the wall stands (,lr+B) ft highand (7r-2) ft.long, how much. does it. c€6t to paiat the wall?

2.9 :i

l'aN |

, V

21^

In a class of 4o students, 27 like Math and 25 like FilipiEo. At mo8t hos, mary students do not like at least one of these subjects?

,,.

How many four-digit numbers are multiples of 9? can walk &om his house to his. school at the rate of 5.4 kph, and bact at the rate of kph. What is his average speed for the entire walk in meters per second?

--23. Manuel

3"6

Pcge 1 o! 2

J

. lx)and

24. A polynomial has quotient (r2

remainder (c2

-

1) when dividod by

('f - 1)

What

is

the polynomi&l?

-

first Pieoe' Aldo cut a lon6 piece of baEboo ioto fout piec€s. Thc Eecond piece was one''third of the the third' of ore'third piece was the third piece was oaethird of the seooad, and finally tbe fourth If the smallest piece was 2 dm, how lon6 waa the barnboo before it wa6 cut?

1b'llr-,*.

_61 ,,. - Lz- .i,,. /rhn

In Teacher Ella'e cla^*s, a Btudedlt receiYee a final grade of A if the student garners an average of at At least least g27a in the fiwe Iong t€sts. After four l,ong test6, Jonathan Bot a.n &verage of 9I% of A? grade get a final how much should he get i! the lasi long ieEt to What is the largest prime factor of 2013? passed Algebra, 26

clase of 4? EtudeDts took erGsrinations in Altebra alrd in Geometry. IJ 29 passed Geometry, aad 4 failed iu both subje,ots, how rna'ny passed both Eubjects?

A

A runner started a coulBe at a steady rate of 8 kph. Five minutes later, a second flrnner s-t&rted the 6ame course at 10 kph. tlow long did it take for the second runuer to oYertal@ the fir6t? 3o. A rectaugle has sides (2r + 3) cm ard (4s + 5) cm' How many squares of sides c cm can be cut from it?

Jto)"n*,". nqll^ ,a

g g(t"

'

-

e4

at.

I-Er ABC

-82. The

ML-**.

ad-wt

DE be e regular pentagon. What h the measwe

average of five numbera ie 20.

j a.l

/rl -

1-41.

:

28, rc

b

=

3%, or c

---;.-1-* |

7 m, how loug is

If. Zo:14

40. If

*

bx3

+ 4.a2

-

d,a

*

Ze

=

-

7(2

-

c) 2 2(2a

-

7)?

4. Wtat is the remainder when 2n is divided by

iE

7?

what percent of the origiaal volume is the new volume? (2s

-

3X, + 1)(o - 2)(3o + 1), what is ah +

cd

+

e?

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