Linear Equations
Quadratics
Probability
Random
100
What is the gradient of the slope in the equation y=3x-2
3
100
Expand (x+1)(x+2)
x2+3x+2
100
On a D20 (a dice with 20 sides numbered 1 to 20) what is the chance of rolling a 1.
1/20 or 0.05 or 5%
100
using the equation of a circle (x-h)2+(y-k)2=r2 . Determine the equation of a circle withe a radius of 3, and a centre at (1,2)
(x-1)2+(y-2)2=32
200
Determine the y-intercept of the equation y=2x+1.
(Answer must be as coordinates)
(0,1)
200
State the vertical and horizontal translation of the following quadratic when compared to y=x2.
y=(x-2)2+4
Horizontal translation: 2 to the right
Vertical translation: 4 up
200
A coin is flipped three times, what is the chance of getting a 3 heads. Leave answer as a fraction.
1/8
200
What does the m and c represent in the equation?
y=mx+c
m represents the gradient
c represents the y-intercept
300
Calculate the gradient of the slope that passes through the points (3,-2) and (5,2).
2
300
Calculate the x intercepts of the equation
y=(x+2)(x-4)
(answer as coordinates)
(-2,0) and (4,0)
300
Calculate the probability of a book only being available on a kindle. (answer must be simplified)
1/3
300
Calculate the value of y when x =3 in
y=4
400
A taxi fare is calculated by an initial charge plus $3 for every kilometre travelled. If Joe travelled 5 km and the total cost was $21, calculate the inital charge.
$6
400
Factorise the following equation
y=x2+8x+12
y=(x+2)(x+6)
400
Students in a class of twenty students were asked what pets they had. 6 said they had a chicken and a dog, 9 said they only had dogs, 2 didn't have either chickens or dogs. Calculate the probability that a student select would have a chicken.
9/20
400
Solve for x
y=x2+2x-15
x=-5 or x=3
500
Find the intercept of y=2x+1 and y=-x+4.
(1,4)
500
Calculate the turning point of the equation
y=x2-4x+3
Turning point = (2,-1)
500
There are 10 red marbles, 6 blue marbles and unknown number of yellow marbles in a bag. If there is a 40% chance of drawing a red marble, calculate how many yellow marbles are in the bag.
9
500
The path of a dolphin as it leaps out of the water can be modelled by the equation h=-0.1d2+d, where h is the dolphin’s height above water and d is the horizontal distance from its starting point. Both h and d are in metres. Find the greatest height of the leap.
Height = 2.5 metres