A level Maths Exam Questions with 100% Correct Answers.

If two lines are perpendicular, what must their gradients equal to when multiplied together? Correct answer -1 What is the equation to calculate the gradient of a line? Correct answer y₂-y₁/x₂-x₁ What is the equation to calculate the length of a line? Correct answer √(y₂−y₁)^2 + (x₂-x₁)^2 What is the equation to calculate the midpoint of a line? Correct answer (x₂+x₁) over 2 , (y₂+y₁) over 2 What is the equation of a circle? Correct answer x²+y²=r² How do you find the midpoint of a circle from the equation? Correct answer (x-a)²+(y-b)²=r² If a factor of a line equation is (x-2)², or the line equation is just y=(x-2)², how many solutions does (x-2)² give and what does this look like on a graph. Correct answer this gives just one solution, that x=2. This means that the line just touches the x axis at (2,0). What does a x⁴ and a -x⁴ graph look like? Correct answer an x⁴ looks like a w A -x⁴ looks like an upside down w What does an x³ and a -x³ graph look like? Correct answer an x³ graph appears to travel from bottom left to top right with two curves A -x³ graph appears to travel from bottom right to top left with also two curves How do you find the min/max point of a quadratic? Correct answer complete the square; the x in the bracket will be the x coordinate and the number out the bracket will be the y coordinate How do you establish that (x-3) for example, is a factor of an equation? Correct answer sub in 3 for example. If it is a factor, there will be no remainder and it will equal 0. If no factors of an equation are given and you are asked to factorise, what should you do? Correct answer try small integers using substitution