A LEVEL MATHS QUESTIONS AND
ANSWERS
For example, what does 5! mean? - answer-5x4x3x2x1
How do calculate the stationary points of a line? - answer-dy/dx of the equation. Make this equal
to 0 and find the values of x
How do you change the factors of a graph that has been translated by f(x+a)? - answer-If it was
translated by moving to the right by 3, you would add 3 to each factor bracket. e.g (x+3) would
change to (x+6)
How do you decide whether the stationary points are minimum points, maximum points or points
of inflexion? - answer-By differentiating the differential by d²y/dx² and subbing in the values of x
of the stationary points into this.
How do you establish that (x-3) for example, is a factor of an equation? - answer-Sub in 3 for
example. If it is a factor, there will be no remainder and it will equal 0.
How do you find the midpoint of a circle from the equation? - answer-(x-a)²+(y-b)²=r²
How do you find the min/max point of a quadratic? - 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 plot a quadratic inequality on a graph? - answer-Factorise the quadratic to find x
values. Plot a graph and determining on 0> or <0, solve.
How do you quickly find a remainder of an equation given a factor? - answer-Substitute in the
factor, and this will equal the remainder
How do you simplify a surd in a fraction? - answer-Multiply the denominator by DOTS of the
surd clever number 1
How do you tell if the point of inflexion is positive or negative? - answer-By subbing in numbers
to the dy/dx that are around the same value to see how the gradient changes around the
stationary point
How do you work out the points of which the equation has a negative gradient? - answer-Work
out dy/dx of the equation and put it to zero using < if you're trying to find out when it's negative
in gradient
How do you work out the points of which the equation has a positive gradient? - answer-Work
out dy/dx of the equation and put it to zero using > if you're trying to find out when it's negative
in gradient
How else can you also write → as? - answer-∴ (three dots)
How else can you find a coefficient of an expansion? - answer-Using ⁿCr
ANSWERS
For example, what does 5! mean? - answer-5x4x3x2x1
How do calculate the stationary points of a line? - answer-dy/dx of the equation. Make this equal
to 0 and find the values of x
How do you change the factors of a graph that has been translated by f(x+a)? - answer-If it was
translated by moving to the right by 3, you would add 3 to each factor bracket. e.g (x+3) would
change to (x+6)
How do you decide whether the stationary points are minimum points, maximum points or points
of inflexion? - answer-By differentiating the differential by d²y/dx² and subbing in the values of x
of the stationary points into this.
How do you establish that (x-3) for example, is a factor of an equation? - answer-Sub in 3 for
example. If it is a factor, there will be no remainder and it will equal 0.
How do you find the midpoint of a circle from the equation? - answer-(x-a)²+(y-b)²=r²
How do you find the min/max point of a quadratic? - 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 plot a quadratic inequality on a graph? - answer-Factorise the quadratic to find x
values. Plot a graph and determining on 0> or <0, solve.
How do you quickly find a remainder of an equation given a factor? - answer-Substitute in the
factor, and this will equal the remainder
How do you simplify a surd in a fraction? - answer-Multiply the denominator by DOTS of the
surd clever number 1
How do you tell if the point of inflexion is positive or negative? - answer-By subbing in numbers
to the dy/dx that are around the same value to see how the gradient changes around the
stationary point
How do you work out the points of which the equation has a negative gradient? - answer-Work
out dy/dx of the equation and put it to zero using < if you're trying to find out when it's negative
in gradient
How do you work out the points of which the equation has a positive gradient? - answer-Work
out dy/dx of the equation and put it to zero using > if you're trying to find out when it's negative
in gradient
How else can you also write → as? - answer-∴ (three dots)
How else can you find a coefficient of an expansion? - answer-Using ⁿCr
