Western University (Ontario)  Also known as University of Western Ontario
Introductory Calculus
MATH 0110A

Summer 2013
MATHCOUNTS
1999 State Competition
Countdown Round
How many of the first 100 positive
integers are neither perfect squares
nor perfect cubes?
Answer: 88 (integers)
A palindrome is a number that
reads t
Western University (Ontario)  Also known as University of Western Ontario
Introductory Calculus
MATH 0110A

Summer 2013
MATHCOUNTS
Sprint Round
2002
1. The marks on this number line are evenly spaced. How
many units longer is segment CD than segment AB?
Express yoour answer asa decimal to the nearest tenth.
C
8. Angela
Western University (Ontario)  Also known as University of Western Ontario
Introductory Calculus
MATH 0110A

Summer 2013
MATHCOUNTS
Sprint Round
2003
1. The positive integers are written consecutively in the
pattern below. What integer will be in the eighth entry
in Row A?
Row A
Row B
Row C
Row D
4
5
2
9
6
1
.
11
.
8
12
Western University (Ontario)  Also known as University of Western Ontario
Introductory Calculus
MATH 0110A

Summer 2013
Name
Date '
MathCounts Competition
(2009)
State Competition
Sprint Round ~ KEY Sprint Round
4
3 M " . 'W
E
_ I
gallons
6. 1 5 gercent
Copyright MATHCOUNTS. Inc. 20139. All rights reserved. 2009 St
Western University (Ontario)  Also known as University of Western Ontario
Introductory Calculus
MATH 0110A

Summer 2013
MATHCOUNTS
Target Round
2005
1. In the Reflecting Ball Game a ball can be launched from
points 1, 2, 3, 4, 5, or 6 in the direction shown. When a
ball hits a side of rectangle ABCD it bounces at a 90
Western University (Ontario)  Also known as University of Western Ontario
Introductory Calculus
MATH 0110A

Summer 2013
MATHCOUNTS
State Sprint Round
19981999
1. Calculate:
10! 8!
10! 8!
. Express your answer as a
1.
8. Mohan is selling cookies at the economics fair.
8.
As he decides how to package the cookies, he fin
Western University (Ontario)  Also known as University of Western Ontario
Introductory Calculus
MATH 0110A

Summer 2013
MATHCOUNTS
Target Round
19961997
1. Rosita is saving her money to buy a pair of roller
blades which cost $135, including tax. She earns
$14.50 per week from her paper route, $5 of which
she must use
Western University (Ontario)  Also known as University of Western Ontario
Introductory Calculus
MATH 0110A

Summer 2013
MATHCOUNTS
19911992
Sprint Round
1. A sequence of numbers is formed using the rule
6. A, B, C, D, and E are consecutive points on a line.
If
1.
AB
BC
6.
1 BC 1 CD 1
AC
,
,
, what is
?
3 CD 4 DE 2
B
Western University (Ontario)  Also known as University of Western Ontario
Introductory Calculus
MATH 0110A

Summer 2013
MATHCOUNTS
Sprint Round
2000
7. Compute:
1. What is the number of distinct ways of arranging the letters
in the word AVERAGE?
1.
2. Joeys strategy for his first marathon (26.2 miles) was to
2.
run 2 m
Western University (Ontario)  Also known as University of Western Ontario
Introductory Calculus
MATH 0110A

Summer 2013
MATHCOUNTS
2011
State Competition
Target Round
Problems 1 and 2
Name
School
Chapter
DO NOT BEGIN UNTIL YOU ARE
INSTRUCTED TO DO SO.
This section of the competition consists of eight problems,
which wi
Western University (Ontario)  Also known as University of Western Ontario
Introductory Calculus
MATH 0110A

Summer 2013
MATHCOUNTS.
2000
l State Competition I
Sprint Round
Problems 130
Name
School
Chapter
DO NOT BEGIN UNTIL YOU ARE
INSTRUCTED TO DO SO
This round of the competition consists of 30 problems.
You
Western University (Ontario)  Also known as University of Western Ontario
Introductory Calculus
MATH 0110A

Summer 2013
MATHCOUNTS
Target Round
2003
1. A stack of 100 nickels has a height of 6.25 inches. What is 1.
the value, in dollars, of an 8foot stack of nickels?
Express your answer to the nearest hundredth.
2. On
Western University (Ontario)  Also known as University of Western Ontario
Introductory Calculus
MATH 0110A

Summer 2013
MATHCOUNTS
State Sprint Round
19961997
1. After spending onehalf of her money and
1.
losing onethird of the remainder, alley was left
with just enough money to buy a magazine and
a candy bar. The p
Western University (Ontario)  Also known as University of Western Ontario
Introductory Calculus
MATH 0110A

Summer 2013
MATHCOUNTS
2011
State Competition
Sprint Round
Problems 130
Name
School
Chapter
DO NOT BEGIN UNTIL YOU ARE
INSTRUCTED TO DO SO.
This section of the competition consists of 30 problems.
You will have 4
Western University (Ontario)  Also known as University of Western Ontario
Introductory Calculus
MATH 0110A

Summer 2013
1989  1990
State Competition
Sprint Round
8. Solve for z:
1. Suzies dog eats 2 1/2 cups of dog food per day. If the
1.
dog food weighs 4 ounces per cup, how many days can Suzie
feed her dog with a 40
Western University (Ontario)  Also known as University of Western Ontario
Introductory Calculus
MATH 0110A

Summer 2013
MATHCOUNTS
Target Round
2007
1. A recipe for crispy rice treats results in a mixture that fills a
1.
9inch by 13inch pan to a depth of one inch. If a crispy rice
treats mixture resulting from 1.5 ti
Western University (Ontario)  Also known as University of Western Ontario
Introductory Calculus
MATH 0110A

Summer 2013
MATHCOUNTS
Sprint Round
2006
1. For Field Day, the Poe M.S. students will be assigned to
teams. No team will have more than eight students and
each student will be on exactly one team. If there are 12
Western University (Ontario)  Also known as University of Western Ontario
Introductory Calculus
MATH 0110A

Summer 2013
19891990
State Competition
Target Round
1. R.B. spent $56.00 for pizzas for the math team.
If the pizzas had been purchased at another
pizza parlor where the purchase price per
pizza was $1.00 less,
Western University (Ontario)  Also known as University of Western Ontario
Introductory Calculus
MATH 0110A

Summer 2013
MATHCOUNTS
Sprint Round
2009
other day, what is the probability that it will rain on both days,
expressed as a percent?
1. A bookcase has 3 shelves with a total of 24 books. The top
shelf has 8 myster
Western University (Ontario)  Also known as University of Western Ontario
Introductory Calculus
MATH 0110A

Summer 2013
Despite being written in the 1950s, Ray Bradburys book, Fahrenheit 451, has deep,
riveting ties to both the world today, and the world 400 years ago. His perfectly spun illusion of a
superficially fla
Western University (Ontario)  Also known as University of Western Ontario
Introductory Calculus
MATH 0110A

Summer 2013
MATHCOUNTS
Sprint Round
2010
1. Sharon bought a mixture of nuts that was made up of
pecans, walnuts, and cashews in a ratio of 3:2:1
respectively. If she bought 9 pounds of nuts, how many
pounds of wa
Western University (Ontario)  Also known as University of Western Ontario
Introductory Calculus
MATH 0110A

Summer 2013
MATHCOUNTS
State Target Round
19941995
1. The number 632 is considered a multiple number
since the first digit is the product of the rest of the
digits of the number. How many 3digit multiple
number
Western University (Ontario)  Also known as University of Western Ontario
Introductory Calculus
MATH 0110A

Summer 2013
MATHCOUNTS
Sprint Round
2007
1. In the figure to the right, the largest circle
has a radius of six meters. Five congruent
smaller circles are placed as shown and
are lined up in easttowest and north
Western University (Ontario)  Also known as University of Western Ontario
Introductory Calculus
MATH 0110A

Summer 2013
MATHCOUNTS
19901991
State Competition
Target Round
1. A plane left an airport and flew
1.
5. How many terms are contained in the sequence
5, 9, 13, 17, , 601?
2.
6. A circular sheet of paper of radiu
Western University (Ontario)  Also known as University of Western Ontario
Introductory Calculus
MATH 0110A

Summer 2013
MATHCOUNTS
Target Round
2004
1. How much greater, in square inches, is the area of a
circle of radius 20 inches than a circle of diameter
20 inches. Express your answer in terms of .
2. Quadrilateral
Western University (Ontario)  Also known as University of Western Ontario
Introductory Calculus
MATH 0110A

Summer 2013
MATHCOUNTS
Target Round
200
1. Five boys are competing in an archery contest.
Each boy has two arrows to shoot into the same
circular target. For each shot they can get a whole
number of points anywhe
Western University (Ontario)  Also known as University of Western Ontario
Introductory Calculus
MATH 0110A

Summer 2013
length 16 ft. The radii of the circles are 10 ft. and 17 ft.
respectively. Express the distance between the centers
of the circles in feet.
1990 1991
State Competition
Sprint Round
1. What three cons
Western University (Ontario)  Also known as University of Western Ontario
Introductory Calculus
MATH 0110A

Summer 2013
MATHCOUNTS
Target Round
19981999
1. The number listed on each segment indicates the sum
of the numbers represented by the two circles at the
ends of the segment. One segment number is missing.
What i
Western University (Ontario)  Also known as University of Western Ontario
Introductory Calculus
MATH 0110A

Summer 2013
CHAPTER 1
EXERCISES 1.1, page 9
1. The statement is false because 3 is greater than 20. (See the number line that
follows).
2. The statement is true because 5 is equal to 5.
3. The statement is false
Western University (Ontario)  Also known as University of Western Ontario
Introductory Calculus
MATH 0110A

Summer 2013
2013 WISAMC1003
(2006B, 2007A, 2007B, 2008B)
1. What is (1)1 (1)2 + (1)2012 + (1)2013 ?
(A) 2013
(B) 1
(C) 0
(D) 1
(E) 2013
2. For real numbers, x and y, define x y = (2x + y)(x  2y). What is 3 (
Western University (Ontario)  Also known as University of Western Ontario
Introductory Calculus
MATH 0110A

Summer 2013
MATHCOUNTS
Target Round
19951996
1. Angela attached new numbers to the lockers
at the middle school. She used stickon numbers
for each digit in the locker number. How many
fives did she use to numbe
Western University (Ontario)  Also known as University of Western Ontario
Introductory Calculus
MATH 0110A

Summer 2013
MATHCOUNTS
2005 State Sprint Round
1. In octagon ABCDEFGH, every side is perpendicular to
each of its adjacent sides. What is the perimeter of
ABCDEFGH?
A
1.
H
E
B
4
F
10
6.
7. Each of the letters A,
Western University (Ontario)  Also known as University of Western Ontario
Introductory Calculus
MATH 0110A

Summer 2013
MATHCOUNTS
2008 State Sprint Round
1. John saw an ad for tomato soup at 24 per can. At the price 1.
advertised, what is the greatest number of whole cans of
soup John could buy for $1.00?
2. Yvonne pu
Western University (Ontario)  Also known as University of Western Ontario
Introductory Calculus
MATH 0110A

Summer 2013
MATHCOUNTS
State Sprint Round
19951996
6. The square of the sum of 3, 4, and 5 is divided by the
sum of the squares of 3, 4, and 5. By how much does
this quotient exceed the reciprocal of onehalf?
E