Algebra
Does 2x + 2y = 2(x + y) ? True of False?
True
What is the chance of getting at least 2 head from 4 coins
Probability: 43.75%
Data is a set of stats or statistics that can not be effected by chance. True or False?
False
2cm3 = ?m3
2,000,000m3
√ 841 is a surd
False, surds are numbers that are roots and do not equal whole numbers. √ 841 = 29
If expanding is to make less terms, simplifying must be to make more terms. True or False
False. expanding does not mean less terms
and Simplifying does not mean to make more terms
False!
What is the chance of rolling at least 1 number that is at most 4 on a standard dice if you roll 1 dice and 2 coins?
4/6, 0.66* or 66.66*%
Kevin flips 5 coins. How many possibilities are in the sample space (Head Tails is not the same as Tails Heads)
There are 32 possible occurrences in the sample space
There are 1 billion nm in a km
True
Ryusoo opens a PVZ heroes pack, getting a rare is guaranteed, Super rare 30%, Legendary 10% and a New Hero 3%. What is the chance of Ryusoo getting a Rare, Super Rare, Legendary and a Hero?
0.09%
Dan, is the father of Sam and George, Sam is 5 years younger then half of George's age. If in 3 years time, Dan's age is double George's age and Sam's age is the 4th composite number, what is Dan's age?
Dan:47
George: 22
Sam: 6
The chance of winning the lottery on this planet is 1 in a 999, a number is chosen randomly out of the draws, what is the chance that the lottery number has a 0 in it? (0s at the start of numbers do not count)
99/999
State 4 numbers that have the same mean, median and mode
Any set of 4 of the same number
What is 14 hectares is equal to?
140,000m2
Edward Liu gives $x to Edward Cheung for winning the first game of roulette. If they play another 10 games, what is the chance of both Edwards breaking even?
0%, there were 11 games total so it could not have tied
If 5x = 6, what does 52x+3 equal?
5^2x+3 = 5^x + 5^x + 5^3
= (6) + (6) + 125 = 137
5^2x+3 = 137
In a mine where unobtanium is very rare, occurring in only 1% in minerals, your friend, tricky Joe has developed a machine that will always detects any unobtanium if any is present, otherwise it is still very reliable 90% of the time. After searching, his machine goes off and he offers it to you for $200. You know that it could easily be $1000 but any other minerals are effectively worthless, should you make the trade?
No. This is an example known as a false positive. Even though it only has a 10% (100% - 90%) of a false reading, there is only a 1% chance for it to be real. Therefore a false positive. The actual chance finding a real ore is 1/11 from that rock, not worth $200 for a 1/11 for $1000
In the numbers 0,2,3,4,6 Is the range the same as double the IQR?
No.
Range = 6-0
2xIQR = 2(5-1) = 8
What is perimeter of a square hectare of land?
400m
What is the answer to (√ 121 + √ 36)2
14 + 2(√ 121)(√ 36)
(3x-2y)3 = ?
= (3x-2y)(9x2+6xy+4y2)
When you use a standard deck of cards (no joker), when drawing 5 cards, what is the chance, to the nearest percentage (1 decimal), what is the chance of not getting a 2 of a kind, 2 pairs, 3 of a kind, 3 of a kind and a 2 of a kind, 4 of a kind, all same suit or consecutive numbers
50.1%
Find the pronumerals where the mean of x,y,12,13,14 is 15 and the median is 14.
If the number 3 was added to x,y,12,13,14, the mean would be 13 and the median would be 14
x = 14
y = 22
In the quadrilateral ABCD, where lines AB ∥ CD and lines AC∥ BD. Find the area of the Quadrilateral if the line BD is 18cm long and the shortest distance from A to D is 30cm long.
First use Pythagoras to find the other unknown side (24cm). Then find the area (18*24) = 432cm2
Bailey invests a total of $10000 into 2 funds, Edward Liu fund gives him a stable total of 1% interest on his money per year. Edward Cheung fund is a risky fund, unfortunately it backfired and Bailey loses 3% of his money per year. After taking back the money in the funds after a year, if Bailey got a profit of $20, how much money did he invest in the Edward Liu fund?
Edward Liu = $8000 <-- Answer
Edward Cheung = $2000