Year 1 Pure maths

Question 1

What is the difference of two squares?

Answer 1

x^2 - y^2 = (x + y) (x - y)

Question 2

What are the rules of the discriminant?

Answer 2

b^2 - 4ac > 0 = 2 roots.
b^2 - 4ac = 0 = 1 root.
b^2 - 4ac < 0 = no real roots.

Question 3

What is integration?

Answer 3

And one to the power then divide by the new power. Then add C.

Question 4

How to differentiate?

Answer 4

Multiply by the power, take away one from the power.

Question 5

What are the trigonometric identities?

Answer 5

Tan = Sin/cos

Sin^2 + Cos^2 = 1

Question 6

What is the equation for a line?

Answer 6

Y - Y0 = M(x - x0)

Question 7

What is the equation for distance between two points?

Answer 7

Square root ((Y2 - Y1)^2 + (X2 - X1)^2)

Question 8

What is the equation of a circle?

Answer 8

(X + a)^2 + (Y - b)^2 = r^2