Transcript NIT FINALS - The Math Forum @ Drexel

Quiz Bowl
All eight students will solve problems as part of a quiz
bowl.
Students will work together to answer questions
and compete head to head against other teams.
Teams will be seated at tables.
A moderator will ask a question using a
microphone.
Each team will write an answer to each question on a
dry erase board.
Team captains will then hold up their boards for the
audience and judges to see.
The team captain should be seated in middle of
the team.
Teams should write answers clearly and neatly so that
judges can see answers. Teams with unclear answers
will not receive points.
Time will begin once the moderator finishes
reading the question.
Teams should NOT include computational or scratch
work on the board; only answers should be written on
the board.
Once a team holds up a board, the team may NOT
change their answer.
Teams will be provided with scratch paper, two dry
erase markers, a board, and an eraser to clear the
board.
NO books, notes, calculators, or electronic
devices, such as cell phones, may be used.
Cell phones must be turned off.
Quiz Bowl
Round 1: All Groups Can Answer
Round 1 will consist of 15
questions.
All teams that provide the correct
answer to a question posed by a
moderator will earn 5 points.
Samir’s father is 45.
He is 15 years older
than twice Samir’s age.
How old is Samir?
Π (Pi) is the ratio of
______________ to
______________.
Jerome can paint a house
in 5 days, and Ronesha
can paint the same house
in 7 days. Working
together, how long will it
take them to paint one
house?
What is the length of the
longest (straight) line
you can draw inside a
square with an area of
144 square units?
In a two-child family,
one child is a boy. What
is the probability that
the other child is a girl?
One fourth of the vehicles
at Danielle’s Cycle Shop
are tricycles. The rest are
bicycles. Danielle counted
a total of 45 wheels in her
shop. How many bicycles
were there?
Tony has 11 more
nickels than quarters.
How many coins does he
have if the total value of
his coins is $2.65?
Order the fractions
from least to greatest.
If something increases
from 15 to 18, what is the
percentage of increase?
If the ratio of apples to
pears to oranges is
7:8:10
how many pears are
there if the total number
of fruits is 500?
Write 219,425,000 in
scientific notation.
Write .032454 in
scientific notation.
Seven factorial is written
7! and is equal to
7•6•5•4•3•2•1
The factorial of what
number is 24?
If the fraction (5/8) times
the unknown X is equal
to 9, then what number
does X have to be?
Evaluate
Convert 10,000 seconds
into hours, minutes,
and seconds.
Quiz Bowl
Round 2: Multiple Answers–1 Minute
Round 2 will consist of 5 questions
that each have multiple answers.
Each team will earn 1 point for
each correct answer and 1 bonus
point if the team provides all of the
possible answers.
Round this number:
451.7576 in as many
ways as possible.
List all the 2 digit prime
numbers where the
ten’s digit is less than
the unit’s digit.
4 is a perfect square and
100 is a perfect square.
List all the perfect
squares between 400
and 900, inclusive.
A Pythagorean triple is a set of
three positive whole numbers a, b,
and c that are the lengths of the
sides of a right triangle. List a set
of Pythagorean triples.
For the bonus, list three more
(rather than all possible) sets of
Pythagorean triples.
You have a one-dollar bill, a
five-dollar bill, a ten-dollar bill
and a twenty-dollar bill in your
pocket. If you reach in your
pocket and pull out at least 2
bills, what are the different
possible values for how many
dollars you have in your hand?