Linear and Quad Functions
Other functions
Trigonometry - 2
Probability
General Knowledge
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.
A) Are these events Dependent or Independent?
B) What is the probability that both candy bars were snickers?
A) dependent
B) 4/12 * 3/11= 1/11
100
Which artist released the 2017 album Divide (÷), featuring the hit song “Shape of You”?
Ed Sheeran
200
Solve the simultaneous equations
2x−y=10 and x+2y=0
𝑥=4 and 𝑦=−2
200
The shutter speed, 𝑆, of a camera varies inversely as the size of the aperture setting, 𝑓. When 𝑓=8, 𝑆= 125.
Calculate the value of 𝑆 when 𝑓=4.
𝑆 = 250.
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
3/5
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
Which global sporting event featured Shakira’s song “Waka Waka (This Time for Africa)” as its official anthem, and in which year was it held?
The FIFA World Cup, held in 2010 (South Africa)
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 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 value of sin^2(x)+cos^2(x) for any real number x?
1
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?
24
400
What is the capital of Canada?
Ottawa
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
The depth of water in a sea is modelled by d = 7 − 4 cos ( (4π(t − 2)) / 23)meters, where t is the number of hours after midnight.
A ship needs a depth of at least 9 m of water to safely cross the sandbar. The ship is ready to leave at 11 a.m. At what time will it be safe to cross the rocks?
1720 hours or 5:20 p.m.
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 type of electromagnetic radiation has a shorter wavelength than visible light but longer than X-rays?
Ultraviolet radiation