Linear and Quad Functions
Other functions
Trigonometry
Probability
General Knowledge
Challenge
Challenge 2
100
Solve
x^2+2x=3x+6
x=-2 and x=3
100
A cubic function in the form of y=ax^3+bx^2+cx+d have roots at x= -2, x=3 and x=4.
Determine the equation of a cubic in factorised form.
y=(x+2)(x-3)(x-4)
100
Solve
sin (x) =1/2, 0<=x<=2pi
x=pi/6, (5pi)/6
100
Jack had 4 Snicker bars and 8 Mars bars. He randomly chose a piece of candy, ate it, then chose another.
What is the probability that both candy bars were snickers?
4/12 * 3/11= 1/11
100
Which movie features the song a "Whole New World"?
Aladdin
100
If Sydney and Canberra were to swap names, the Opera House would be in Canberra and the Federal Parliament would meet in Sydney. In this case, the Melbourne Cricket Ground would be in which city?
Melbourne
100
Without reordering any letters, what fruit appears in the sentence below?
I'D MAKE MY OWN JUICE WHILE MONEY ROLLS IN
LEMON
200
Solve the simultaneous equations
2x−y=10 and x+2y=0
𝑥=4 and 𝑦=−2
200
What test determines if it is a function or a relationship?
Vertical line test
200
Determine the equation of this wave
y=1-cos(x)
200
On a spinner labeled with numbers 1-10, where each number is equally likely to be spun, determine the probability of spinning an odd number or a multiple of 3
P(odd) = 5/10
P(multiple of 3) = 3/10
P(odd and multiple of 3)= 2/10
5/10 + 3/10 - 2/10 = 6/10 = 3/5
200
List 4 coutries in Europe that end in y.
Italy, Norway, Germany, Hungary
200
Mary's mother has six children, April, May, June, July, August and who?
Mary
200
If there were no vowels at all, what would be the 13th letter of the alphabet?
Q
300
Solve:
(x+1)/4−(2x−1)/6=1
x=-7
300
Determine the equation of the following hyperbola
y=3/(x-4)+2
300
Determine the exact value of
sin(15)
(sqrt(6)-sqrt(2))/4
300
If 𝐴 and 𝐵 are independent events such that P(𝐴)=0.35, and P(𝐵)=0.46, then P(𝐴∪𝐵) is equal to?
0.649
300
What is the national flower of Japan?
Cherry Blossom
300
Bill's glass is half full. Ben's is half empty. Bill drinks half of what's in Ben's glass and Ben throws half of what's in Bill's glass in Bill's face. Ben empties his glass into Bill's glass. How full is Bill's glass now?
Half
300
Which of the following words is still a recognised word if you substitute the first letter for the next letter in the alphabet and the last letter for the previous letter in the alphabet?
(A) BRINK
(B) CROWN
(C) CREST
CREST
400
A quadratic function has a range of y<=4 and the roots at x = -1 and x = 3 . Determine the equation of the quadratic.
y=-(x+1)(x-3) or y =-x^2+2x+3
400
Determine the equation of the following grah
y=-2sqrt(x-3)+4
400
y=3sin(4x)-2
or y=3cos(4(x-pi/8))-2
400
Georgia is choosing her five subjects for Year 12. She has already chosen three subjects. For the remaining two she will choose one of the three mathematics subjects, and either one of five languages or one of three science subjects. How many different subject combinations are possible?
3C1*5C1+3C1*3C1 = 24
400
What happened 20th July 1969?
Ottawa
400
The Matildas played the Republic of WhoCares. In each half, Sam Kerr scored 6 minutes in, and every 6 minutes after that. If the game has two 45 minute halves, how many goals did she score?
14
400
How many dots (i.e. ".") – including any used in punctuation and letters… – are used in writing this question?
17
500
What is (are) the value(s) of 𝑚 that will give the equation
mx^2+6x−3=0
two solutions ?
m > -3
500
Determine the centre and radius of the following circle
x^2-2x+y^2 +6y=15
Centre = (1, -3)
Radius = 5
500
Simplify:
cos(11*pi/3)cos(10*pi/3)+sin(11*pi/3)sin(10*pi/3)
cos(pi/3)
1/2
500
If for two events 𝐴 and 𝐵, P(𝐴)=3/8
P(A)=3/8, P(B)=4/7 and Pr(𝐴∩𝐵)=8/21, then P(𝐴|𝐵) is equal to?
2/3
500
What is Australias best result in the world cup?
Top 16.
500
After matching online, Astrid, 32, meets up with Ed for a date. Only he looks twice as old as he does in the photo he used. When asked his age he says: "I'm really the same age as you… plus half my age." How old is Ed?
64
500
If you change the letter at the beginning of the first word, the letter in the middle of the second word and the letter at the end of the third word, they all now have something in common. What is it?
CAT BOATS SCARE
Clothes
Cat > Hat
Boats > Boots
Scare > Scarf