Strategies

Strategies
#1: Use the test booklet as scratch
paper.
Points H, J, K and M lie on the
same line, in that ordet. llHK=
I, JM = 11, and JK = 5, what is
the falio ot HJ lo HM?
3/g
t1+
a-
(!)
.-9'
O
@
O
..;\ @ 13 tl-
a
e@
@o@
@@
@ @
o@
o
@
@@
o@
@
.-^- a7_\
\L
",(-
,'.'(-
tr1
il
S
I
#4: Choose a convenient starting
value when none is given
The current value of a stock is
20olo less than its value when it
was purchased. By what
percent must the current value of
the stock rise to have its original
,;
vatue? 1,,.,,
,( 1r,t..
1nC
t
''.
A. 2jo/o
t',
6iZ:;
C.30o/o
.i
:
',,,
- r.la, I ,/-...r.
4 'llt tl t>..
fla t -, 10
J
Fred gives 1/3 of his compact . .
discs to Andy and then gives 3/4
..6.,1
of the remaining compact disks
to Jerry. Fred now has what
fraction of the original number of
discs?
.t
A. 1t12
1t6
#2: Find the quantity the question
asks for
1) = 4, then
f
=
.
@
c. 113
l,,y'
D. 5t't2
E.
@@
#3: Plug in numbers to find a pattern
When a positive integer k is
divided by 5, the remainder is 3.
What is the remainder when 3k
is divided by 5?
61
-Y;
A. 1
-i
8.2
c-3
"
E.500/"
/F\
5Xx-
.'-f
|
D.33-%
tt
.n'-
lf (5
r
rr,',"J 11" -dED.
1t2
(D@@@
iiz,=L --
ic ->) i€ft
t)'
'1"
#5: Combine or multiply systems of
equations
l! 8a - b2 = 24 and 8b + b2 = 56,
thena+b=
4.3
"
| , 4 ?-k
)
za
1
; )
ll
1'n) d
t)
"tlft)
E.9
ll
@@o@
t1l
9.7
(o'lr/
10
E.80
t1
-; 7U;1; , €('
Q.8
(D)
@@(D@
-b t,lL
t' ' {L: !'o
.ir t, lP
x-
2Y = '1, t11621 ;" the value
23x-6y1
_i
lf
8
#7: Make organized lists and look for
pafterns
of
People enter a room one at a
time and are given a name tag in
one of five possible colors. The
colors are given out in this order:
red, blue, white, green, and
yellow. What is the color of the
name tag that is given to the g3'd
person who enters the room?
Y_zl . l',ti
:1)
O
a:)
(!.-) @ Q.-)
an @
o@
@
3r- ('t' 3
- ).
^lt-Li
-z
@ a-n @ @
@@@
@ @ @ a-)
@ a;) @ @
at-\
(D @ @ @
@ @ ae-)
A.
B.
(9
D,
red \
tli
blue
white
green
'i2
t '
4q
What is the qnits digit of 31?
A.
8.3
n
c8
h9
!=2
b3
value of
ana -=-.whatisthe
I
c
c '.J)
j:
-:_\
O .:-\
@
H
l\
o
a-!')
#8: Redraw figures to scale
K
@ (tt
@ \li @
@
@ @ -n/d\
ai:
bC
,
Not€: Figure s ml
+
Oot2
dtM
tl/t>'a
Z}
ofa
*r' .
to
s€te.
ln rectangle JKIM above, if JK=
KL, what is the ratio of JH to
KM?
@
A.0only\ U)-A,-O
B. 2only ' , lo -_
C.4only \''/ \t '-'
(E.'
{1.,.,*,
iL
3t
#6: Account for all solutions
higher-degree equation
lf x2 = 4x,, then :r =
1_.
L'-
@
(L
'L'5
\!,
ai\
E.9
't,
(-?,
e
.tl @ @
@@
@@
J'
@z
|:tt
3l /11
\9-,
-E--5'-
t.!
?
3:' ?t '1
3o-t
I . r
1
. r, rll ,i4.1
q9, aq) (!-,
o (D o
@
@
@o
an
@
(-
-7\
!!- zi\
-G) @
.
o or a
D@@
a?)
t21
o@
/t)
@
@
@ .G-! @
\.L
#9: Subtract areas to find the area of
a [unlshaded region
L!-
r,,,
4,"i ,',
K
'1,
[4
o-\
ln the figure above, what is the
area of lhe unshaded reoion if
,48CD is a square ana iXO is a
j!e{nicircle whose radius js 4?
#12: Write an algebraic equation
Ticket sales receipts for a music
concert totaled $2,160. Three
times as many tickets were sold
for the Saturday night concert as
was sold for the Sunday
afternoon concert. Two times as
many tickets were sold for the
Friday night concert as was sold
for the Sunday afternoon
concert. Tickets for all three
concerts sold for $2.00 each.
Find the number of tickets sotd
for the Saluday night concert.
A. 90
g/64-8r
t
B. 64 _.16n ,rr ,n,l ^(qi
G.l2 - 8n
, ': lt
'H*-4r
t
E-J6--16r
i,1'.
@@@
dr
sao
-
',1'.
4.2
I --) e:-4D.5
Ziii\.1 i/
/-
:.,.
b) l) - l,: 'Y" " /lic
2
:)
,
.'i'
#13: Look at a specific case
The perimeter of a rectangle is
10 times as great as the width of
the rectangle. The length ofthe
rectangle is how many times as
great as the width of the
rectangle?
A, one-half
B, two
C. three
#11: Change variable answer choices
into numbers
lf m + n is an odd numberwhen
m and n are positive integers,
which expressjon always
represents an eveD number?
?'-
-!'-,.-, " ': N;, L
B-4+ n2
n. i
( D-
=.
D)
ti
r'
't
/
1t 'tl.,7
l'.
'5 ./
,.,
l' - t
foLrr
the lenqth and width are
eoual
@@@o@l
i i i-t ir':
)
51o
'/
(D@@@
f
'
-.-
E.6
2 -l
"i;t"'
2x. l-,;,f.'r
@@(D@
-.t
'r
J:! , lltt lJ
E.600
#10: Test numerical answer choices
in the question
ll22x-1 = 32, then x =
6:o
r' ''
B. 180
c.270
t31
{
l0
x
P-,1i,,
r,t
I
#14: Draw a diagram
Amy goes shopping and spends
one{hird of her money on a new
dress. She then goes to another
store and spends one-half of the
money she has left on shoes. lf
Amy has $56 left after these two
purchases, how much money did
she have when she started
shopping?
'/7
@
4\
o
.'.
a
@
(9.-l
@@
marbte witt be
I
Z:.)
tL{
a3: /i\
.-i\
,.i\
19.)
.v- @
-n @
l.i') .-i-
o
@@@
@
@ Z?\ @
@ a?) .E-) @
@
@
@ @ .D
@
t)
-t
,t
l, ob o\ nu ^
l,
-
,
60 _- LL'
-{
3'"
I
1:;t1c
I
1o, .^o'^
10 t"av
L
1,.
:z_
/
@ qD @
@ -s, @
@ a3.:
#15: Work backwards
Sara's telephone service cost
$21 per month plus $0.25 for
each local call, and longdistance calls are efra. Last
month, Sara's billwas $36.64.
and it included 6.14 in longdistance charges. How many
local calls did she make?
-@ (q,
a-:)
o
o
e (?'\
@
/'n @
@@
@ oo
@@
@
a
@@
..:.\
3
i.lt,
@
.?\ @
@
'l 'a IilS
'a
'-z
7lo
,a
'.J)
1''
@ Z?\ @
a-5.)
probability of picking a red
i'2
l4L \91 \',"
@@
{.
50
-::. How Ito
lto
many red marbles must be
add;d to the jar so that the ? qY t''i
-
lookinq is, therefore,
tr;: \'''* I .,-
'ablz
\.1,
#16: Adopt a different point of view
A jar contains 1'10 marbles of
which 50 are red and 60 are
green. The probability of picking
a red marble from the jar without
#17: Joe
ta ,b+
- b'lL
iurt
'!-
ln the figur'e above. whafis the greatest
number of nonoverlapping regions into
which the shaded region can be divided
with exactlv two straioht lines?
1 'r''-/'ts
''lA c {
3142.13
o
L4l
""'t