Mathematics practise english4 ppsx

86. e. Similar triangles have the same angle measures.
Congruent triangles have the same angle meas-
ures and the same side lengths. From the given
information, you cannot know if the side
lengths are the same, so you can conclude only
that the triangles are similar.
87. (1,1).
Plot the points given in the problem and com-
pete the parallelogram. Remember that in a par-
allelogram, both pairs of opposite sides are
equal and parallel.
88. e. The median time is the middle time. There is no
way of knowing how far behind the median the
slowest runner was.
89. b. The steepest rise on the graph was from April 23
to April 30. The symbol indicates that it was in
the Midwest.
90. d. The prices for the West Coast have been rising
steadily by 2 or 3 cents each week. On May 7, the
price on the West Coast is a little beneath $1.80.
If it rises 2 or 3 cents, it should be at about $1.82
by the following week. The question gives no
reason to expect a sudden decline in price or a
sharp increase.
91. b. Add the times and multiply by 9 cents: 19 + 24
+ 8 = 51 minutes; 51 × .09 = $4.59.
92. 56.
Let x represents the amount that Christian put
in and 2x − 20 represents Maggie’s contribution.
Solve the equation.
x + 2x − 20 = 94

3x = 114
x = 38
Christian put in $38 and Maggie put in 94 − 38
= $56.
93. d. The number of games played is the total of the
wins and losses, (20 + 15 = 35). Write the ratio
and simplify.
ᎏ
2
3
0
5
ᎏ
=
ᎏ
4
7
ᎏ
.
94. b. Use the Pythagorean theorem: 25
2
+ 9
2
= c
2
:
c = ͙25
2
+ 9
ෆ

2
ෆ
= ͙625 +
ෆ
81
ෆ
= ͙706
ෆ
95. b. Use the order of operations.
−3 × 5
2
+ 2(4 − 18) + 3
3
−3 × 25 + 2(−14) + 27
−75 + (−28) + 27
−76
1
2
3
4
5
6
7
8
9
•
1
2
3
4

5
6
7
8
9
0
•
/
1
2
3
4
5
6
7
8
9
0
•
/
1
2
3
4
6
7
8
9
0
•

/
1
2
3
4
5
7
8
9
0
•
56
1
2
−3
4
−5
−6
0
1
−2
3
4
5
6
−1
2 3
−4
5
−6

−1
−2−3−4
−5
6
– GED MATHEMATICS PRACTICE QUESTIONS–
455
96. e. ᭝ABC is a right triangle, but you have no way of
knowing which angle is a right angle, so elimi-
nate choice a. Regardless of the type of triangle,
the sum of the measure of the interior angles of
triangle must be 180°.
97. c. You can try each combination of sides in the
Pythagorean theorem. Only 6, 8, and 10 will
work. 6
2
+ 8
2
= 10
2
, 36 + 64 = 100, 100 = 100.
98. b. A four-sided figure with only one pair of paral-
lel sides is a trapezoid.
99. e. A closet is the shape of a rectangular solid. To
find the volume, multiply. V = lwh.
7(4)(8) = 224 cubic feet.
100. e.Use the Pythagorean theorem. If a
2
+ b
2
= c

2
and c is the hypotenuse, then b
2
= c
2
− a
2
or
x
2
= 15
2
− 6
2
.
– GED MATHEMATICS PRACTICE QUESTIONS–
456

Glossary of Terms: Mathematics
base a number used as a repeated factor in an expo-
nential expression. In 8
5
, 8 is the base number.
base 10 see decimal numbers
binary system one of the simplest numbering sys-
tems. The base of the binary system is 2, which means
that only the digits 0 and 1 can appear in a binary rep-
resentation of any number.
circumference the distance around the outside of a
circle

composite number any integer that can be divided
evenly by a number other than itself and 1. All num-
bers are either prime or composite.
counting numbers all whole numbers, with the
exception of 0
decimal a number in the base 10 number system.
Each place value in a decimal number is worth ten
times the place value of the digit to its right.
denominator the bottom number in a fraction. The
denominator of
ᎏ
1
2
ᎏ
is 2.
diameter a chord that passes through the center of a
circle and has endpoints on the circle
difference the result of subtracting one number
from another
divisible by capable of being evenly divided by a
given number, without a remainder
dividend the number in a division problem that is
being divided. In 32 ÷ 4 = 8, 32 is the dividend.
even number a counting number that is divisible
by 2
expanded notation a method of writing numbers
as the sum of their units (hundreds, tens, ones, etc.).
The expanded notation for 378 is 300 + 70 + 8.
exponent a number that indicates an operation of
repeated multiplication. For instance, 3

4
indicates that
the number 3 should be multiplied by itself 4 times.
factor one of two or more numbers or variables that
are being multiplied together
fractal a geometric figure that is self-similar; that is,
any smaller piece of the figure will have roughly the
same shape as the whole
improper fraction a fraction whose numerator is
the same size as or larger than its denominator.
Improper fractions are equal to or greater than 1.
integer all of the whole numbers and negative num-
bers. Examples are −3, −2, −1, 0, 1, 2, and 3. Note that
integers d
o not include fractions or decimals.
multiple of a multiple of a number has that number
as one of its factors. 35 is a multiple of 7; it is also a
multiple of 5.
negative number a real number whose value is less
than zero
numerator the top number in a fraction. The
numerator of
ᎏ
1
4
ᎏ
is 1.
odd number a counting number that is not evenly
divisible by 2
percent a ratio or fraction whose denominator is

assumed to be 100, expressed using the % sign. 98% is
equal to
ᎏ
1
9
0
8
0
ᎏ
.
perimeter the distance around the outside of a
polygon
polygon a closed two-dimensional shape made up of
three or more line segments that are joined together
positive number a real number whose value is
greater than zero
prime number a real number that is divisible by
only two positive factors: 1 and itself
product the result when two numbers are multiplied
together
proper fraction a fraction whose denominator is
larger than its numerator. Proper fractions are equal
to less than 1.
proportion a relationship between two equivalent
sets of fractions in the form
ᎏ
a
b
ᎏ
=

ᎏ
d
c
ᎏ
quotient the result when one number is divided into
another
radical the symbol used to signify a root operation
radius any line segment from the center of the circle
to a point on the circle. The radius of a circle is equal
to half its diameter.
ratio the relationship between two things, expressed
as a proportion
real numbers include fractions and decimals in
addition to integers
reciprocal one of two numbers that, when multi-
plied together, give a product of 1. For instance, since
ᎏ
3
2
ᎏ
×
ᎏ
2
3
ᎏ
is equal to 1,
ᎏ
3
2
ᎏ

is the reciprocal of
ᎏ
2
3
ᎏ
.
remainder the amount left over after a division
problem using whole numbers. Divisible numbers
always have a remainder of zero.
– GED MATHEMATICS PRACTICE QUESTIONS–
457
root (square root) one or two (or more) equal fac-
tors of a number. The square root of 36 is 6, because
6 × 6 = 36.The cube root of 27 is 3 because 3 × 3× 3 = 27.
simplify terms to combine like terms and reduce an
equation to its most basic form
variable a letter, often x, used to represent an
unknown number value in a problem
whole numbers 0, 1, 2, 3, and so on. They do not
include negatives, fractions, or decimals.
– GED MATHEMATICS PRACTICE QUESTIONS–
458
459
APPENDIX
A
Online
Resources

GED Test Preparation
www.acenet.edu/calec/ged—The official GED site.

www.LearningExpressFreeOffer.com—Offers FREE online GED practice exams.

GED Math
www.LearningExpressFreeOffer.com—Offers FREE online GED Math practice exams.
www.algebrahelp.com—Offers online algebra help.
www.cne.gmu.edu/modules/dau/algebra/algebra_frm.html—Offers a review of basic
algebraic concepts as well as practice problems and their solutions.
www.ies.co.jp/math/products/geo1/menu.html—Offers a review of basic geometric
concepts, principals, and formulas.
www.math.rice.edu/~lanius/geom/index.html—Offers a variety of geometry exercises.
a list of formulas commonly used
on the GED Mathematics section.
www.webmath.com—Offers the answer and an analysis of any math question typed
into the system.

GED Science
www.learnatest.com—Offers online GED Science
practice exams.
www.scicentral.com—Offers a wide variety of science
articles.
www.pbs.org/wgbh/aso—Offers a history of science
and biographies of famous scientists.
highered.mcgrawhill.com/sites/0809222302—Offers
practice GED Science questions and answers.

GED Social Studies
www.learnatest.com—Offers online GED Social
Studies practice exams.
www.historycentral.com/index.html—Offers history
reading selections from 5,500

B.C. to the present.
www.historychannel.com—Offers a wide variety of
history materials and information.
www.nationalgeographic.com/resources/ngo/maps—
Offers an assortment of downloadable maps.
www.tourolaw.edu/patch/supremecourtcases.asp—
Offers summaries of landmark Supreme Court cases.
www.constitutioncenter.org—Offers basic facts about
the U.S. Constitution.
www.founding.com/home.htm—A guide to the
Declaration of Independence.

GED Language Arts
www.LearningExpressFreeOffer.com—Offers FREE
online GED Language Arts practice tests.
www.utexas.edu/cee/dec/scoring/hints.html—Offers
strategies for the GED essay.
www.ket.org/ged2002/writing—Offers practice
multiple-choice and essay questions to help you
prepare for the GED Language Arts section.
all
aspects of the writing process.

Test-Taking Skills
www.d.umn.edu/student/loon/acad/strat/test_take
.html—Offers general test-taking strategies.
www.studygs.net/tstprp.htm—Offers six test-taking
strategies.
www.muskingum.edu/~cal/database/general/testtaking
.html—Offers a wide variety of test-taking and

learning strategies.
www.bucks.edu/~specpop/tests.htm—Offers test-
taking strategies.
www.testtakingtips.com—Offers ways to improve your
test-taking skills.
www.mtsu.edu/~studskl/teststrat.html—Offers
survival strategies for taking tests.
www.brazosport.cc.tx.us/~lac/objtest.htm—Offers tips
for improving your objective test-taking skills.
www.uno.edu/~counserv/cserv_selfhelp_testanxiety
.htm—Offers test-taking strategies for people who
experience test anxiety.
– APPENDIX A: ONLINE RESOURCES–
460