Transcript Jeopardy - Westhampton Beach School District

JEOPARDY
Numbers &
Operations
Algebra &
Functions
Geometry
& Measure
Statistics &
Probability
Potpourri
Q $100
Q $100
Q $100
Q $100
Q $100
Q $200
Q $200
Q $200
Q $200
Q $200
Q $300
Q $300
Q $300
Q $300
Q $300
Q $400
Q $400
Q $400
Q $400
Q $400
Q $500
Q $500
Q $500
Q $500
Q $500
Final Jeopardy
$100 QUESTION FROM NUMBERS &
OPERATIONS
If each digit in an integer is greater than the
digit to the left, the integer is said to be
‘monotonic’. For example 12 is a monotonic
integer since 2 > 1. How many positive twodigit monotonic integers are there?
a)
b)
c)
d)
e)
28
32
36
40
44
$100 ANSWER FROM NUMBERS &
OPERATIONS
C
$200 QUESTION FROM NUMBERS &
OPERATIONS
If p is a prime number, how many factors does p3
have?
a)
b)
c)
d)
e)
One
Two
Three
Four
Five
$200 ANSWER FROM NUMBERS &
OPERATIONS
D
$300 QUESTION FROM NUMBERS &
OPERATIONS
a, 2a – 1, 3a – 2, 4a – 3, …
For a particular number a, the first term in
the sequence above is equal to a, and each
term thereafter is 7 greater than the previous
term. What is the value of the 16th term in
the sequence?
$300 ANSWER FROM NUMBERS &
OPERATIONS
113
$400 QUESTION FROM NUMBERS &
OPERATIONS
A perfect square is an integer that is the
square of an integer. Suppose that m and n
are positive integers such that mn > 15. If
15mn is a perfect square, what is the least
possible value of mn?
$400 ANSWER FROM NUMBERS &
OPERATIONS
60
$500 QUESTION FROM NUMBERS &
OPERATIONS
If p is a number, which of the following could
also be a prime number?
a)
b)
c)
d)
e)
p/2
2p
p2
p+2
2p - 2
$500 ANSWER FROM NUMBERS &
OPERATIONS
D
$100 QUESTION FROM ALGEBRA &
FUNCTIONS
x
1
2
3
4
5
6
g(x)
3
11
19
27
a
43
The table above defines several values of
the linear function g. What is the value of a?
a)
b)
c)
d)
e)
31
33
35
37
41
$100 ANSWER FROM ALGEBRA &
FUNCTIONS
C
$200 QUESTION FROM ALGEBRA &
FUNCTIONS
If 3m-3 + 3m-3 =18, what is the value of m?
a)
b)
c)
d)
e)
3
4
5
6
9
$200 ANSWER FROM ALGEBRA &
FUNCTIONS
C
$300 QUESTION FROM ALGEBRA &
FUNCTIONS
The graphs of the functions f and g are lines, as shown.
If a=f(4), what is the value of g(a)?
a)
b)
c)
d)
e)
1.5
2
3
4
4.5
$300 ANSWER FROM ALGEBRA &
FUNCTIONS
C
$400 QUESTION FROM ALGEBRA &
FUNCTIONS
If (x + 1)2 = 4 and (x – 1)2 = 16, what is the
value of x?
a)
b)
c)
d)
e)
-3
-1
1
3
5
$400 ANSWER FROM ALGEBRA &
FUNCTIONS
A
$500 QUESTION FROM ALGEBRA &
FUNCTIONS
t
0
1
2
N(t)
128
16
2
The table above shows some values for the
function N. If N(t) = k  2-at for positive
constants k and a, what is the value of a?
a)
b)
c)
d)
e)
-3
-2
1
3
2
3
$500 ANSWER FROM ALGEBRA &
FUNCTIONS
E
$100 QUESTION FROM GEOMETRY &
MEASURE
In the figure shown, AB || CD and ÐABC = 75°. What
is the value of ÐBCD?
a) 65
b) 75
c) 80
d) 95
e) 115
$100 ANSWER FROM GEOMETRY &
MEASURE
B
$200 QUESTION FROM GEOMETRY &
MEASURE
Rectangle ABCD is subdivided into two
identical square regions, as in the figure
above. If the area of each square is 9, what
is the perimeter of ABCD?
$200 ANSWER FROM GEOMETRY &
MEASURE
18
$300 QUESTION FROM GEOMETRY &
MEASURE
A particular square has a side of length s. If
the area of the square is numerically equal to
the perimeter of the square, then what is the
value of s?
$300 ANSWER FROM GEOMETRY &
MEASURE
4
$400 QUESTION FROM GEOMETRY &
MEASURE
The figure shown is two semicircles of diameter d
connected by segment AB. If the length of AB is ½
of d, and d = 4, what is the total length of the figure?
a)2π b) 2π+2
c) 4π
d) 4π+1
e) 4π+2
$400 ANSWER FROM GEOMETRY &
MEASURE
E
$500 QUESTION FROM GEOMETRY &
MEASURE
In the figure above, AC = 7 and AB = BC. What
is the smallest possible integer value of AB?
$500 ANSWER FROM GEOMETRY &
MEASURE
4
$100 QUESTION FROM STATISTICS &
PROBABILITY
A basket contains turnips that are either red
or white. If the total number of turnips in the
basket is 24, and the probability of choosing
a red turnip at random is 5 6 , how many red
turnips are in the basket?
$100 ANSWER FROM STATISTICS &
PROBABILITY
20
$200 QUESTION FROM STATISTICS &
PROBABILITY
Movie Rating Chart
Movie
Adult Rating
Children Rating
A
3
1
B
2
4
C
3
4
D
4
2
E
1
1
Worse
1
2
3
4
Best
5
According to the table shown, which of the movies
was rated worst for adults?
a) A
b) B
c) C
d) D
e) E
$200 ANSWER FROM STATISTICS &
PROBABILITY
E
$300 QUESTION FROM STATISTICS &
PROBABILITY
If x is chosen at random from the set {2, 3, 4,
5, 6}, and y is chosen at random from the set
{11, 13, 15}, what is the probability that xy is
even?
$300 ANSWER FROM STATISTICS &
PROBABILITY
3
5
$400 QUESTION FROM STATISTICS &
PROBABILITY
According to the graphs above, how many seniors
are enrolled at Taft High School?
a) 375
b) 525
c) 750
d) 1500
e) 2125
$400 ANSWER FROM STATISTICS &
PROBABILITY
A
$500 QUESTION FROM STATISTICS &
PROBABILITY
A drawer contains 4 blue socks and 6 green
socks, and you randomly select two socks.
What is the probability that both socks are
blue?
$500 ANSWER FROM STATISTICS &
PROBABILITY
2
15
$100 QUESTION FROM POTPOURRI
If 3x2 = 75, then x =
a)
b)
c)
d)
e)
-5
3
5
5 or -5
5 3
$100 ANSWER FROM POTPOURRI
D
$200 QUESTION FROM POTPOURRI
An integer is subtracted from its square. The
result could be which of the following?
a)
b)
c)
d)
e)
A negative integer
An odd integer
A product of two even integers
The product of two odd integers
The product of two consecutive integers.
$200 ANSWER FROM POTPOURRI
E
$300 QUESTION FROM POTPOURRI
If x = a + b, then which of the following is
equivalent to x?
a)
b)
c)
d)
e)
a + b + 2 ab
a + b + 2ab
a + b + ab
a+b
2a + 2b
$300 ANSWER FROM POTPOURRI
A
$400 QUESTION FROM POTPOURRI
The numbers q, r, s, t and u are indicated in the
number line above. Which of the following is the
largest in value?
a)
b)
c)
d)
e)
qu
rs
qr
qt
u
$400 ANSWER FROM POTPOURRI
C
$500 QUESTION FROM POTPOURRI
Let f(x) = 4x – 3. If f(a) = 9 and f(b) = 5, then what is
f(a + b)?
a)5
b)7
c)14
d)16
e)17
$500 ANSWER FROM POTPOURRI
E
FINAL JEOPARDY
In the figure above, AC is a diameter
of the large circle and B lies on AC so
that AB is a diameter of the small
circle. If AB = 1 and BC = 2, what is
the area of the shaded region?
a) p 4
b) p
c) 2p
d) 9p 4
e) 9p
FINAL JEOPARDY ANSWER
C