Team Trivia
IB MATH STUDIES
MID YEAR REVIEW
How to play
 There will be three regular rounds - 3 questions per
round - each worth 1 points
 When we start a round, Ms. Profio-Miller will give you all
three questions. You are to discuss with your team, do
any work on a separate sheet of paper, and write your
FINAL answer down on the answer sheet.
 After 10 minutes, Ms. Profio-Miller will come around and
collect each team’s small trivia sheet. If you finish early,
please double check your work.
Fourth Round
 The fourth round will be a little different. Instead of
each question being worth a point, you will wager
your points.
 You must wager one question for 5 points, one
question for 3 points, and the other for 1 point.
 If you get that question correct, Ms. Profio-Miller
adds that amount of points to your team’s score. If
you get that question incorrect, Ms. Profio-Miller will
deduct that amount of points from your team’s score.
How to Win
 The team with the most points at the end of the game
wins!
 (a little) Extra Credit on the test will be given!!
Rules
 Be an active participant in your group!
 Please stay seated at all times unless you have Ms. Profio-
Miller’s permission.
 You should only talk to the people in your group. Do not even
look in another group’s direction.
 Be respectful and at a moderate noise level. You should help
each other in your group. No name calling, arguing, etc.
 Failure to follow the rules can deduct points from your team’s
score.
?
 ANY QUESTIONS??!??!???
 Let’s get started….
ROUND 1 : Number and Algebra
1. The exchange rate from US dollars (USD) to euros
(EUR) is given by 1 USD = 0.753 EUR. Convert 125
US dollars to euros to the following correct to two
decimal places.
2. Emma places $18,000 in a bank account that pays
a nominal interest rate of 4.5% per annum,
compounded quarterly. Calculate the amount after
15 years to the nearest dollar.
3. Write down the numbers in increasing order and
circle the irrational number:
ROUND 1 ANSWERS
1.) The exchange rate from US dollars (USD) to euros (EUR) is given
by 1 USD = 0.753 EUR. Convert 125 US dollars to euros to the
following correct to two decimal places. 1 usd/125 usd = 0.753
eur/x eur
94.13 EUR
2.) Emma places $18,000 in a bank account that pays a nominal
interest rate of 4.5% per annum, compounded quarterly. Calculate
the amount after 15 years to the nearest dollar.
18000(1+.045/4)^(4•15) = $35,220
3.) Write down the numbers in increasing order and circle the
irrational number:
1.6x10-19, 9.8 x 10-18, π, 3.5, 0.006073x106, 60730, 6.073x105
ROUND 2 : Mathematical Models
1. Find the equation of the axis of symmetry of
y = x2 – 2x – 15.
2. The number (n) of bacteria after t hours is given by
the formula n = 1500(1.32)t. What is the initial
number of bacteria?
3. Write the equation of the vertical asymptote for the
function f ( x)  x 2  3 .
x2
ROUND 2 : ANSWERS
1. Find the equation of the axis of symmetry of
y = x2 – 2x – 15. x = -b/2a  x= -(-2)/2(1)
x=1
2. The number (n) of bacteria after t hours is given by
the formula n = 1500(1.32)t. What is the initial
number of bacteria? 1500(1.32)0 = 1500
3. Write the equation of the vertical asymptote for the
function f ( x)  x 2  3 . x = 2
x2
ROUND 3 : Statistics
1. It is stated that the content of a can of drink is 350
ml. The content of thousands of cans is tested and
found to be normally distributed with a mean of
354 ml and a standard deviation of 2.5 ml. If 200
cans are chosen at random, find the expected
number of cans that contain less than 350 ml.
x
6
8
10
12
14
16
Use data for #2 and #3: y 30 28 27 24 21 20
2. Find ( x , y ) .
3. Find the Pearson Product Moment Correlation
Coefficient and interpret its meaning.
ROUND 3 : ANSWERS
1. It is stated that the content of a can of drink is 350 ml.
The content of thousands of cans is tested and found to
be normally distributed with a mean of 354 ml and a
standard deviation of 2.5 ml. If 200 cans are chosen at
random, find the expected number of cans that contain
less than 350 ml.
Normalcdf(small#, 350, 354, 2.5) = 0.548*200 = 11 cans
x
6
8
10 12 14
Use data for #2 and #3:
y
30 28 27 24 21
2. Find ( x , y ) . (11, 25)
3. Find the Pearson Product Moment Correlation
Coefficient and interpret its meaning. r = -0.989
strong negative correlation
16
20
ROUND 4
 After you answer the questions in this round, you must
wager one question for 5 points, one question for 3
points, and the other for 1 point ---- write the wager in
the line given on your small trivia sheet.
 You can only use 5 points once, 3 points once, and 1 point
once!
 REMEMBER: If you get that question correct, Ms. Profio
adds that amount of points to your team’s score. If you
get that question incorrect, Ms. Profio will deduct that
amount of points from your team’s score.
ROUND 4: Chi Square Test
Members of a certain club are required to register for
one of three games (see below)
Badminton
Table Tennis Darts
Male
37
16
29
Female
32
10
19
1. Show expected value for females registered for
Table Tennis is 11.1.
2. Write the null hypothesis.
3. Find the Chi-Square value. If the critical value is
4.605, state the conclusion you would make using
your Chi-square value.
ROUND 4: ANSWERS
Members of a certain club are required to register for one of
three games (see below)
Badminton
Table Tennis Darts
Male
37
16
29
Female
32
10
19
1. Show expected value for females registered for Table Tennis
is 11.1. (61•26)/143 = 11.1
2. Write the null hypothesis. H0: Gender and Game preference
are independent.
3. Find the Chi-Square value. If the critical value is 4.605, state
the conclusion you would make using your Chi-square value.
0.76 is not larger than 4.605, so we would fail to reject.