1
Northern Arizona University
Department of Mathematics
and Statistics
2014 High School Math Day
Face Off
Students, start your brain
cells!
2
If two fair six sided dice are
rolled what is the probability
that both roll 5 or higher?
[1/9]
3
Simplify:
12 ∙ 10 ∙ 8 ∙ 6 ∙ 4 ∙ 2
26 ∙ 6 ∙ 5 ∙ 4 ∙ 3 ∙ 2 ∙ 1
[1]
4
40% of a given number is
16. What is 45% of the
number?
[18]
5
For what values of 𝑥 does
12𝑥 + 5 = 18𝑥 − 6𝑥 + 2?
[none]
6
Simplify:
8∙ 2
[4]
7
What is the greatest common
factor of 9, 15, and 24?
[3]
8
Which of the numbers
𝜋 3𝑒
, , 3, 2
2 2
is largest?
[
3𝑒
2
]
9
Evaluate:
log 5 125 + log 3 81
[7]
10
If three standard 6 sided
dice are rolled what is the
probability that the sum is
odd?
[1/2]
11
What is the length of the
hypotenuse of a right triangle
with legs of length 5 and 12?
[13]
12
Evaluate:
4
1
0
2
[1]
13
On which calendar date was
the 100th day of the year
2014?
[April
th
10 ]
14
Which of 3432, 2626, and
1234 are divisible by 4?
[3432]
15
For what values of k is it
true that,
2
2
𝑥 = (𝑘𝑥) ,
for all x?
[1 and -1]
16
Solve:
2𝑥 − 8 = −𝑥 + 4
[𝑥 = 4]
17
The first odd number is 1.
What is the 100th odd
number?
[199]
18
Evaluate:
4
3
2 ∙5
[2000]
19
Evaluate:
sin(990°)
[−1]
20
If two fair six sided dice are
rolled what is the probability
that at least one rolls 5 or
higher?
[5/9]
21
What positive number less
than 20 is 45 more when its
digits are reversed?
[16]
22
If
𝑓 𝑥 =4− 3− 2− 1−𝑥
what is 𝑓 1 ?
[3]
23
Evaluate:
52 ∗ 44 + 56 ∗ 52.
[5200]
24
Evaluate:
𝜋
sin 2
+
𝜋
cos 2
[1]
25
One of the fractions:
3 1 2 3
, , ,
5 2 5 10
is a solution to the equation
3
2
6𝑥 + 7𝑥 − 9𝑥 + 2 = 0.
Which fraction is the solution?
[1/2]
26
What is the smallest positive
integer that has two
syllables?
[seven]
27
Factor:
1
2
𝑥 +2+ 2
𝑥
[ 𝑥+
2
1
𝑥
]
28
2
𝑥
If
= −1
2014
then 𝑥
=?
[-1]
29
Evaluate:
sec(225°)
[− 2]
30
Which of 156312, 134572, and
126453 are divisible by 3?
[156312 and 126453]
31
𝑥
𝑒 ,
If 𝑓 𝑥 =
2
𝑔 𝑥 = 𝑥 − 1,
and ℎ 𝑥 = cos 𝑥
what is 𝑓 𝑔 ℎ 0 ?
[1]