Mathematics GE REVIEW Session 1

8/16/2019 Mathematics GE REVIEW Session 1

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MATHEMATICSWith Casio fx 991-ES plus Calculator

Techniques

SESSION 1

Engr. Broddett B. Abatayo, GE, REA


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• BS in Geodetic Engineering.• PGDip in Photogrammetric Engineer• MS in Reote Sensing

• BS in Geodetic Engineering.• BS in Ci!il Engineering.• MS in Manageent Engineering.• MS in Reote Sensing•

"h#$# in %r&an and Regional "lannin


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Te11

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Back Substitution

Multiple choice strategies


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56: ME Board October 1996Sol!e the siultaneousequation'

a# x 2 0 or -03 / 2 * or -* x 2 0 or -03 / 2 -* or 1c# x 2 0 or -03 / 2 -* or -1

d# x 2 0 or -03 / 2 * or -0


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62: ECE Board Apri 1991

Siplif/'

c#

d#


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6!: ECE Board "o#ember 199!Siplif/ the follo5ing equation'

c#

d#


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$!: Siplif/'

c#

d#


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5!: EE Board October 19916ind the !alue of x in theequations'

a# +79 .+79c# +79

d# ,+79


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Remainder Theorem

Any polynomial of one variable divide by•


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9%: CE Board "o#ember199&6ind the reainder if 5e di!ide &/

a# 1+ 11c# 1d# 10


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95: ECE Board Apri 19996ind the reainder if 5e di!ide When is di!ided &/ ) thereainder is 8# 6ind 8#

a# * c# ,d# .


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11%: ECE Board Apri 199$:n the expression of ) thenuerical coe;cient of the th ter is<

a# ,0)0,+ 1*,)*+c# +,)..+d# *0)+


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11!: 6ind the th ter of theexpansion of

a# *,+ c# *1+d# *+


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11$:What is the coe;cient ofthe ter free of x of theexpansion <

a# *, *,c# *,d# ,*


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Arithmetic and Geometric ProgressiArithmetic if the succeeding terms have common

difference


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211: The su of threearithetic eans &et5een 0and * is

a# 11 1*c# 10d# 1


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21!: :f the =rst ter of anarithetic progression is * andthe fourth ter is 10) 5hat is the

third ter<

a# 1 1.c# 19d# *+


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21%: ECE Board "o#ember199$6ind the 0+th ter of the

arithetic progression ) ) 1+)>

a# ..c# 9+

d# 91


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215: CE Board Ma' 199! CE Board Ma' 199% CE Board "o#ember

199%?o5 an/ ters of theprogression 0) ) )> ust &eta8en in order that their su 5ill&e *,++<

a# . 9c# +d# 1


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21&: CE Board Ma' 1995What is the su of theprogression ) 9) 1) 19 > up to

the *+th

ter<

a# 1+0+ 1+0c# 1++d# 1+


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Arithmetic and Geometric Progressigeometric if the succeeding terms have common rati


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2!2: 6ind the su of geoetric eans &et5een 1,+and #

a# 10+ 1+c# 1+d# 1,+


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2!!: EE Board October 1991 The fourth ter of a G#"# is *1,and the ,th ter is 19# 6ind

the .th

ter#

a# 1,9 19,c# 1,9d# 19,


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2!$: ECE Board October 199$ The su of the =rst 1+ ters ofa geoetric progression *) )

.)#### is

a# 1+*0 *+,c# **d# 19,


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2!&: ECE Board Ma' 1995 The nu&ers *.) x@*) 11* fora G#"# What is the 1+th ter<

a# 100, 10,0c# 1,00d# 1,0


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2!%: ECE Board Apri 1999$eterine x so that' x) *x@)1+x- 5ill &e a geoetric

progression

a# ) -71* ) -7,c# ) -17d# ) -7,

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Mathematics GE REVIEW Session 1