Academic Coaches Conference
Junior Math
A Program of the Indiana Association of School Principals
French Revolution – Junior Math
1.
Sets and Number Theory – 24%
A. Sets of real numbers, prime numbers, perfect
squares
B. Subset notation
C. Empty set { }
D. Universal Set – the set of all objects or elements
considered in a given problem
E. Union
F. Intersection
G. Complement of A is A’
H. Venn Diagrams
I. Lagrange’s Four-Square Theorem
French Revolution – Junior Math
II.
Quadratics – 40%
A.
Characteristics of quadratic equations and
parabolic graphs
B.
Maximum and Minimum
C.
Function Notation
D.
Solving quadratic equations – all methods
E.
Word problems
F.
System of quadratics
G.
Vertex form y = a(x-h)2 + k
III.
Probability – 24%
A.
Represented by fractions
B.
P (event)
C.
Fundamental Counting Principle
D.
Permutations and combinations
(word problems)
E.
Dice, coins, cards, even/odd/prime
numbers
F.
Independent and dependent events
G.
Mutually exclusive events
IV.
Mathematicians – 12%
A.
Joseph Fourier
B.
Marie-Sophie Germain
C.
Joseph-Louis Lagrange
D.
Pierre-Simon Laplace
Reminder: Only the TI-30XA and TI-30XIIS
may be used for this competition.
Doug Porter
[email protected]
JD-CP-M-1
JD-CP-M-4
JD-CP-M-10
Mama Sophia’s Pizzeria conducted a survey.
They asked 50 customers which pizza they
liked better – pepperoni or sausage. 28
people liked pepperoni, 25 liked sausage and
8 people liked both equally. How many
people did not like either pepperoni or sausage?
A.
3
B.
5
C.
11
D.
17
JD-CP-M-15
Which equation represents the axis of
symmetry of the function
y = -2x2 + 4x – 6?
A.
B.
C.
D.
x=1
x = -1
x=3
x = -3
JD-CP-M-25
A baseball is hit with an initial velocity of
80 feet per second. Ignoring the height of
the baseball player, how long does it take
for the ball to hit the ground?
Use the formula: h(t) = v0t -16t2
A. 5 seconds
B. 10 seconds
C. 15 seconds
D. 20 seconds
JD-CP-M-27
Solve 3x2 = 5x – 1.
A.
B.
C.
D.
JD-CP-M-28
Determine the number and type of roots of
x2 + 20 = 12x – 16.
A.
B.
C.
D.
2 irrational roots
no real roots
2 rational roots
1 rational root
JD-CP-M-32
If f (x) = -2x2 – 5x – 8, evaluate f (-7).
A.
B.
C.
D.
-141
-71
153
223
JD-CP-M-36
A candy salesperson has 10 different kinds of
boxed candy. Only 3 kinds can be displayed
in the counter window at any one time. How
many ways can the products be displayed?
A. 30
B. 120
C. 210
D. 720
JD-CP-M-40
An eight-sided die is tossed.
Find P(6 or prime).
A.
B.
C.
D.
JD-CP-M-42
When three coins are flipped, what is the
probability of all three coins having the same
result?
A.
B.
C.
D.
JD-CP-M-45
Laplace contributed to all of the following
areas of study EXCEPT ___________.
A.
B.
C.
D.
physics
astronomy
chemistry
probability