Functions
No calculator
What is 4.09784 correct to three significant figures?
4.10
What is the formula for arc length in radians?
l = r theta
What is the name of Justin Bieber's massive 2010 hit.
Hint: the song repeats the same word three times in the chorus.
Baby
What is the derivative of 2x-8.
2
How do you read the notation below.
P(A|B)
Probability of A given B
No calculator
What is the gradient of the line
2x + 3y + 4 = 0?
-2/3
No calculator
A plane flies on a bearing of 150o from A to B.
What is the bearing of A from B?
330o
Name three movies Zendaya has been in.
No sequels. Must be movies.
Challengers
Dune
Spider Man
The Greatest Showman
Space Jam
Odyssey
Fill in the blank
Areas below the x-axis give a ________ definite integral.
negative
What are the two types of categorical variables and what do they represent?
Nominal - can't be ordered
Ordinal - can be ordered
No calculator
Let f(x) and g(x) be functions such that f(2)=5, f(3)=4, g(2)=5, g(3)=2 and g(4)=1.
The value of f(g(3)) is...
5
3 minute timer - calculator allowed
The lengths of the sides of a triangle are 7 cm, 8 cm and 13 cm.
Find the size of the angle opposite the longest side.
120o
What was the final song to be played at the end of Year 12 formal?
A Million Dreams
What is the integral of 8
8x+c
To make a prediction outside the range of data values is to use __________.
Extrapolation
Calculator Allowed
A circle with centre (a, -2) and radius 5 units has equation
x2 - 6x + y2 + 4y = b
where a and b are real constants.
Find the values of a and b.
a = 3
b = 12
No calculator
State the range of y = 5 + 2cos(3x).
[3, 7]
What are the names of the characters played by Cynthia Erivo and Ariana Grande in Wicked?
Elphaba and Glinda
It is given that y = f(g(x)), where f(x) = 3, f'(1) = -4,
g(5) = 1 and g'(5) = 2.
What is the value of y' at x = 5?
y'= -8
In data that is normally distributed, the mean sits above this percentage of data.
50%
No calculator
Let f(x) be any function with domain all real numbers.
Is f(x)f(-x) an even function?
YES!!!
3 minutes - Calculator allowed
The graphs of y = cos(x) and y=a sin(x), where a is a real constant, have a point of intersection at x =pi/3.
Find the value of a.
a = 1/sqrt(3)
Complete the lyrics...
Cause' every night I lie in bed
The brightest.....
colours fill my head
A million dreams are keeping me awake.
No calculator.
A graph shows the displacement of x as a function of time t.
What does a negative gradient indicate?
- velocity is negative
- speed in negative direction
A data set is normally distributed with a mean of 0.3 and standard deviation of 1.2
The standardised score of a raw score of 2.7 is..?
2