Formulae and Equations
Statistics
Financial
Linear Relationships
Probability
100
Make s the subject in
k=57s^2
+-sqrtk/57
100
Five number summary for:
2, 4, 6, 9, 12, 18
2, 4, 7.5, 12, 18
100
A microwave is $396, inclusive of 10% GST. What is the price of the microwave before the GST is included?
$360
100
What is Taylor's Swift best selling song?
Love Story
100
The probability of an event occurring is 0.25. What is the probability that this event will NOT occur
0.75
200
Mac drank 3 standard drinks between 6pm and 9:30pm. He weighs 88kg. What was his BAC at 9:30pm when he stopped drinking? (4dp)
BAC = (10N-7.5H)/ 6.8M
0.0063
200
The military in Australia is organised in ranks such as Private or Sergeant. What sort of data is represented by these? (categorical, numerical ...) - two words
Categorial Ordinal
200
A car uses 7L of fuel per 100km travelled. How much fuel would the car use if it travelled 382 km? (2dp)
26.74L
200
A taxi charges his passenger a flat fee of $3 to begin a journey and then $1.75 per kilometre travelled. It costs him $0.25 in fuel per kilometre. Write a simplified expression to represent his profit generated by driving n kilometres
P = 3 + 1.5n (or equivalent)
200
Sarah has two packets of jelly beans. Each pack has 1 black and 5 yellow. Sarah takes a jelly bean from each pack without look. What is the probability both are black?
1/36
300
What is the movie?
Edward Scissorhands
300
In a study of teenagers' attitude about social media, a researcher collected data from survey questionnaires given to teenagers who had volunteered. What type of sampling is this?
Self Selected
300
Stephanie's cook book is $29.90 a copy. She earns 12% royalty. How much money will Stephanie recieve for selling 7200 books?
$25833.60
300
What is the gradient of:
3x-5y+30=0
3/5
300
Tori has a choice of toast, croissant or juice. If P(toast)=0.25 and P(croissant)=0.35. What is the probability Tori will choose juice?
0.4
400
Solve
5(x+7)-4(x-3)=-22
x= - 69
400
Molly gathers 170 parrots and tags them. A couple months later, she gather 32 parrots and finds 10 of them tagged. Estimate the initial population
544 parrots
400
Riley invests $1600 for 3 years at 8% p.a. compounding monthly. How much compound interest will Riley get?
384
400
Time taken to build a tower varies directly with the height of a tower. It takes 120 days to build a 45 m tall tower. How long would it take to build a tower 63 m tall?
168 days
400
In 2024, which if the following musicians DIDNT fall off stage while performing?
a) Chris Martin
b) Olivia Rodrigo
c) Billie Elish
d) Taylor Swift
Taylor Swift
500
A car is travelling at a speed of v km/h. What is an expression that shows speed when converted to m/s
Equivalent to:
(1000v)/3600
500
Group with the closest guess!
How many feathers are on a peacock's tail
200 on average
500
Moo Deng is a famous little pygmy hippo. What does her Thai name roughly translate to?
a) Pork Chop
b) Bouncy Pork
c) Fried Pork
d) Glazed Pork
Bouncy Pork
500
What is the equation:
y=-7/3x+7
500
A jar contains 5 red lollies and 3 green lollies. Daniel removes two lollies from the jar at random. What is the probability that the two lollies are different colours?
15/28 (or0.54)