Basic Math
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100
The set of ordered pairs {(6,4),(2,-5),(-2,4),(6,-4)} is a function. Y/N?
For the first coordinate 6 there are two possible second coordinates: 4 and - 4 -) false
100
Founder of mathematics: Ancient Sumerians/Pythagoras/Isaac Newton/Hamlet
Pythagoras
100
What does 6 raise to the power of 0 equal?
1
100
what is a?
y-intercept
100
Since 1995, the daily cost of patient care has increased by about 4% per year. In 1995, the average hospital cost was 968€ per day. Write the equation
a= 968 r=4%=0,04
y= a(1+r)x
y=968(1+0,04)x
y=968(1.04)x
200
Factor: 5x2 – 15x – 20
5x2 – 15x – 20
= 5(x2– 3x – 4)
= 5(x2 – 4x + x – 4)
= 5(x-4)(x+1).
200
How many sides does a nonagon have?
9
200
The parking numbers go: 16,6,68,88,X,98. What's behind X?
87
200
For the function y = 3 x , which is its inverse function?
x = 3 y
200
After a year, Martin had on bank account € 1559. What was the interest rate when the initial deposit was € 1409?
p=100⋅ 1559-1409/1409=10.6%
300
Simplify:
(4x2 - 2x) - (-5x2 - 8x)
= 4x2 - 2x + 5x2 + 8x.
= 4x2 + 5x2 - 2x + 8x.
= 9x2 + 6x.
= 3x(3x + 2)
300
The longest math proof was: Enormous theorem/ 4-color theorem/ Burnside's problem/ Odd order theorem
Enormous theorem - 15 000 pages
300
Sally is 54 years old and her mother is 80, how many years ago was Sally 3 times younger?
41 years ago
300
The value of a car is $15,000 and depreciates at a rate of 8% per year. Write a function
y=15 000(1.08)x
300
I pay $25,000 for a car. It depreciates at a rate of 10%. What is the value of the car in 7 years?
11,957.42
400
Evaluate: 30 - |-x + 6|
for x = 10
30 - |- (10) + 6| = 30 - |-10 + 6|
= 30 - | - 4 | = 30 - 4 = 26
400
In France, a pie chart is sometimes referred to as:
a - Cheesecake b - Pie
c- Camembert d- Pumpkin
Camembert
400
What is the year 1982 in Roman Numerals?
MCMLXXXII
400
Terrignonium-220 has a half life of 6 hours. Write an equation to model how much Terrignonium-220 would remain from a 50 g sample after x hours. Equation:
y = 50 (0.5)x/6
400
At what annual interest rate would we get an interest of 60 euros on a deposit of € 6,000 for three months?
r=60⋅ 12/3=240
q=r/6000=240/6000=1/25=0.04
p=100⋅ q=100⋅ 0.04=4%
500
Find the point(s) of intersection of the parabola with equation y = x2 - 5x + 4 and the line with equation y = 2x - 2
substitute y by 2x - 2
x = 1 and x = 6
(1 , 0) and (6 , 10) : points of intersection
500
How many years would it take to count to a billion?
(+- 7 years)
31 years and 251 days
500
Adding the numbers between 1 to 100 consecutively (1+2+3+4+…) equals to
5050
500
A colony of bacteria starts with 9 bacteria at noon. If the number of bacteria triples every 20 minutes, how many bacteria will be present at 2:40 pm that afternoon?
59049
500
On 1 March, Mr. Závora obtained a loan from the bank for CZK 70,000 for four months. The interest rate is 9.5%. How much will he repay to the bank?
t=4/12=1/3≐0.3333
u=9.5%=9.5/100=0.095
a=70000 Kc q=1+u⋅ t=1+0.095⋅ 0.3333≐1.0317 x=q⋅ a=1.0317⋅ 70000=72216.6667 Kc