8/16/2019 National Achievement Test (MATH)
1/2
Math Reviewer
Grade 10 Topics
I. Permutation and Combination
1. ID Cards: The digits 0, 1, 2, 3, and 4 are to be used in a
four-digit ID
Card. Ho man! different "ards are #ossib$e if:a% &e#etitions
are #ermitted:
b% &e#etitions are not #ermitted:
2. 'usiness (o"ation: )u##ose a business oner has a "hoi"e of
fi*e
$o"ations in hi"h to estab$ish her business. )he de"ides to ran+
ea"h
$o"ation a""ording to a "ertain "riteria su"h as #ri"e of the
store and
#ar+ing fa"i$ities.a% Ho man! different a!s "an she ran+
the fi*e
$o"ations
b% Ho man! different a!s "an she ran+ the to#-three
of
the fi*e $o"ations
3. (etters: i*en the $etters (, , /, . (ists the #ermutation
and
"ombinations for se$e"ting to $etters.4. Ins#e"ting
&estaurants: Ho man! different a!s "an a "it! hea$th
de#artment ins#e"tor *isit restaurants in a "it! ith 10
restaurants. )e$e"ting Cards: Ho man! a!s "an 3 "ards be se$e"ted
from a
standard de"+ of 2 "ars disregarding the order of se$e"tion.
II. )im#$e Probabi$it!
1. or a "ard dran from an ordinar! de"+, find the #robabi$it! of
getting a
ueen.
a. 13 b. 5 ". 112 d. 1132. If a fami$! has three "hi$dren, find
the #robabi$it! that a$$ the "hi$dren
are gir$s.a. 6 b. 5 ". 17 d. 118
3. 9 "ard is dran from an ordinar! de"+, hat is the #robabi$it!
of getting
a a"+.a. 12 b. 128 ". 113 d. 5
III. T&; or 9(). If 9() "hange the under$ined terms.
. 9n! #art of the "ir"$e beteen to #oints on it is
"a$$ed
