Differentiation
Functions and Graphs
Theorems and Formulas
Areas and Volumes
Quadratic equations
100
Which Combination of letters and symbols is used to represent differentiation?
A: ꭍ [] fx
B: d/dx
C: Σx
D: ɖ∈x
B
100
What is the name given to the shape of the graph of x2+2x-1?
Parabola
100
What is the Pythagoras theorem?
h2=b2+p2
100
What is the area of a triangle with base 5 cm and height 3 cm?
7.5 cm2
100
Find the y intercept of the curve y=8x2+2x-7.
-7
200
What is the purpose of differentiation?
To reduce the maximum power of x in the equation by 1 and simplify the equation.
200
Where will the graphs of y=2x+3 and y=3x+2 collide?
(1,5)
200
What is the Quadratic Formula?
-b±√b2-4ac/2a
200
What is the amount of water in a water tank with height 12 cm, width 5 cm and length 7 cm that is only 1/3 full?
140 cm3
200
Factorise the equation x2+3x+2.
(x+1)(x+2)
300
Differentiate 4 tanx.
4 sec2x
300
How do you find the Graph of the inverse of a function using a graph only?
You reflect the graph of the function in the line y=x
300
What is the fundamental theorem of arithmetic?
Every integer greater then 1 can be expressed as a unique product of prime numbers up to the order of factors.
300
What is the volume of the cylinder with radius 2 cm and height 7 cm? (Use the value of 3 for pi)
84 cm2
300
Find the x coordinates of the point where the line y=4 meets the curve y=x2+2x+4
0,-2
400
Differentiate (4x-3)-1
-1/4(4x-3)2
400
Does the Graph 5x2+2x-3 have roots?
Yes
400
What is the factor theorem?
A polynomial f(x) has a factor (x-a) if f(a)=0.
400
How many squares of length 4 cm can fit inside a rectangle of length 2 m and 13 cm?
15
400
Factorise the quadratic equation 5x2+7x-6 and find its roots.
(5x-3)(x+2)
500
Differentiate 4 sin33x.
36 sin23x cos3x.
500
Form an equation for this graph.
y=ex
500
What is Euler's identity?
eiπ+1=0
500
If a cone has a volume of 10 cm3 and height of 2 cm and a similar cone has a height of 4 cm, find the volume of the similar cone.
80 cm3
500
Find the x coordinates of the point of intersection between the curves x2+2 and 2x2+4x+5.
-1,-3