Quadratics
Expand (x+3)(x+4)
x^2 +7x +12
Is the graph of y=x^2 a minimum or maximum?
Minimum
The rule for sine (in a right angle triangle) is:
sin theta = opposite/hypotenuse
Find the median in the following set of data:
1, 3, 5, 6, 8, 9, 12, 13
7
Which symbol represents "union"?
U
Factorise 30x^2 + 15x
15x(2x + 1)
The transformation of y=(x-2)^2 + 4 is:
2 units right and 4 units up
A 3m ladder leans against a wall, making an angle of 45 degrees with the floor. How high up the wall does the ladder reach?
2.12m
Find the IQR of the following set of data:
1, 4, 6, 8, 12, 15, 18
11
A={1, 3, 6, 8} and B={1, 2, 6, 9}. Find the intersection of A and B
{1, 6}
Factorise y=4x^2-16
(2x-4)(2x+4)
The turning point of the parabola: y=(x+3)^2 -5 is:
(-3,-5)
If a ship starts at the origin, and travels on a bearing of 030 degrees for 7km. How Far East has the ship travelled?
3.5km
(cos 60 = x/7)
Find the upper fence for the following set of data:
1, 4, 6, 8, 12, 15, 18
31.5
Q3 is 15, IQR is 11.
15+1.5x11
A bag contains 2 white marbles and 2 blue marbles. If two selections are made without replacement, draw a tree diagram to represent the outcomes.
(Check picture)