Basic Math
What’s a polygon with four unequal sides called?
Quadrilateral
Which is the smallest flightless bird?
(A) Kiwi
(B) Penguin
(C) Ostrich
(D) Rhea
ANSWER: A
If f(x)= x² – 16, find f(a-5)
(30 seconds)
a² – 10a + 9
Determine the center and radius of a general equation of a circle: x² + 2x + y² +8y +8 = 0
(30 seconds)
Answer: C(-1,-4) r = 3
1. Which of the following energy sources does NOT originally come from the Sun?
a) Wind
b) Ocean thermal energy conversion
c) Geothermal
d) Hydroelectric
ANSWER: D
There Are 365 Days In One Year, And 100 Years In One Century. How Many Days Are In One Century?
36,500 Days In One Century
Saurology is the study of ___________.
(A) Mosquitoes
(B) Snake
(C) Lizards
(D) Cockroach
ANSWER: C
Find the domain of the function
f(x)= (x + 4) / (x² – x - 6)
(30 seconds)
X ≠ 2,3
What is the vertex of a parabola given the equation:
y²+12x+2y+25=0
(30 seconds)
Answer: v (-2,-1)
Multiple Choice: Which of the following is the name of the partly melted rock layer on
which the plates move?
a) lithosphere
b) asthenosphere
c) hydrosphere
d) outer core
ANSWER: B – ASTHENOSPHERE
It states that any real number, a, is equal to itself. That is, a = a.
Reflexive property
From which mineral is radium obtained?
(A) Rutile
(B) Haematite
(C) Limestone
(D) Pitchblende
ANSWER: D
Find two consecutive integers such that the sum of one-third of the first and one-fourth of the second is 9.
(40 seconds)
Answer: 15 and 16
Find the standard form of an equation of an ellipse with vertices at (0,±8) and foci at (0,±6) .
(40 seconds)
Answer: x²/28+ y²/64 =1
In geological studies, all of the following are TRUE of P waves except that they:
a) are body waves
b) travel like sound waves
c) can pass through liquids
d) are slower than S waves
ANSWER: D -- ARE SLOWER THAN S WAVES
If the short hand of clock is at 4, what is the degree of its angle
a. 90
b. 120
c. 130
d. 110
ANSWER: B
120
Permanent hardness of water may be removed by the addition of
(A) sodium carbonate
(B) alum
(C) potassium permanganate
(D) lime
ANSWER: A
Find the inverse of
f(x) = (x + 1) / (x+2)
(1 minute)
f-1(x) = (1-2x) / (x-1)
Determine the endpoints of the transverse axis of a hyperbola:
(y-2)² /25 - (x-3)² /9 =1
(1 minute)
Answer: (3,7), (3, -3)
Multiple Choice: Certain substances are classified as water pollutants, others as air
pollutants and still others as land pollutants. Which of the following pollutes all three parts of our
environment?
A) fluorocarbons
B) smog
C) acid rain
D) ozone
ANSWER: C -- ACID RAIN
Factor: 3x⁴ y³ – 48y³
(1 minute and 30 seconds)
3y³ (x² + 4)(x + 2)(x -2)
Which of the following metals forms an amalgam with other metals?
(A) Tin
(B) Mercury
(C) Lead
(D) Zinc
ANSWER: B
Let f(x)= 3x² + 4x + 1, g(x)=x² - 1, h(x)=√(x+5)
Find f°g°h
(1 minute and 30 seconds)
3x² + 28x + 65
Write the summation notation of the series:
(-1)+0+15+80+255
(1 minute and 30 seconds)
n⁴ - 1
Multiple Choice: In studies of the surface of the earth, a reverse fault having a dip
between 10 and 45 degrees is known as a:
A) thrust fault
B) normal fault
C) strike-slip fault
D) neither of these
ANSWER: A -- THRUST FAULT