Transcript Jeopardy - Westhampton Beach School District
JEOPARDY
Numbers & Operations Algebra & Functions Geometry & Measure Statistics & Probability Potpourri
$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 two digit monotonic integers are there?
a) 28 b) 32 c) 36 d) 40 e) 44
$100 ANSWER FROM NUMBERS & OPERATIONS C
$200 QUESTION FROM NUMBERS & OPERATIONS If
p
is a prime number, how many factors does
p
3 have?
a) One b) Two c) Three d) Four e) 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 16 th 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
are positive integers such that
mn
and > 15. If
n
15
mn
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) p
/2 b) 2
p c) p 2 d) p
+ 2 e) 2
p
- 2
$500 ANSWER FROM NUMBERS & OPERATIONS D
$100 QUESTION FROM ALGEBRA & FUNCTIONS
x g(x)
1 3 2 11 3 19 4 27 5
a
6
43
The table above defines several values of the linear function
g
. What is the value of
a
?
a) 31 b) 33 c) 35 d) 37 e) 41
$100 ANSWER FROM ALGEBRA & FUNCTIONS C
$200 QUESTION FROM ALGEBRA & FUNCTIONS 3
m
3 + 3
m
3 = 18,
m
?
a) 3 b) 4 c) 5 d) 6 e) 9
$200 ANSWER FROM ALGEBRA & FUNCTIONS C
$300 QUESTION FROM ALGEBRA & FUNCTIONS The graphs of the functions
f
and
g
If
a
=
f(4),
what is the value of
g(a)
?
are lines, as shown. a) 1.5
b) 2 c) 3 d) 4 e) 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) -3 b) -1 c) 1 d) 3 e) 5
$400 ANSWER FROM ALGEBRA & FUNCTIONS A
$500 QUESTION FROM ALGEBRA & FUNCTIONS
t N(t)
0 128 1 16 2 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) -3 b) -2 c) 1 3 d) 2 e) 3
$500 ANSWER FROM ALGEBRA & FUNCTIONS E
$100 QUESTION FROM GEOMETRY & MEASURE a) 65 Ð
BCD
Ð
ABC
= 75 ° 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 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 C D E 2 3 4 1 4 4 2 1 Worse 1 2 3 Best 4 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 3x 2 = 75, then x = a) -5 b) c) 5 3 d) 5 or -5 e) 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) A negative integer b) An odd integer c) A product of two even integers d) The product of two odd integers e) The product of two consecutive integers.
$200 ANSWER FROM POTPOURRI
E
$300 QUESTION FROM POTPOURRI
equivalent to
x
?
a) b)
a
+
b
+ 2
ab a
+
b
+ 2
ab
c) d)
a
+
b
+
ab a
+
b
e) 2
a
+ 2
b
$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) qu b) rs c) qr d) qt
e)
u
$400 ANSWER FROM POTPOURRI
C
$500 QUESTION FROM POTPOURRI
Let
f(x)
= 4
x f(a + b)
?
– 3. If
f(a)
= 9 and
f(b) = 5,
then what is 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
that
AB
is a diameter of the small circle. If
AB
= 1 and
BC
so = 2, what is the area of the shaded region?
a) p b) c) d) p 4 9 2 p p 4 e) 9 p
FINAL JEOPARDY ANSWER
C