MATHS A LEVEL QUESTION WITH A+ GRADED ANSWERS
How do you quickly find a remainder of an equation given a factor? –
ANSWER Substitute in the factor, and this will equal the remainder
What change does the a in f(x) + a cause to a graph? -
ANSWER It causes the graph to move in the direction of the y axis
What change does the a in f(x+a) cause to a graph? -
ANSWER It causes the graph to move in the direction of the x axis
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)
What can pascals triangle be used for during binomial expansion? –
ANSWER Pascals triangle shows the coefficients of the expansion.
It also shows a pattern of the a²,a³ b²,b³ etc.
What is the pattern of the a² etc and b² etc? –
ANSWER The a's decrease as you go across the triangle.
The b's increase as you go across the triangle
How else can you find a coefficient of an expansion? -
ANSWER Using ⁿCr
What does the n and r stand for in nCr? -
ANSWER n is the number it is to the power of. r is the number of term which you want
to find
What does r start at? -
, ANSWER It starts from 0 and then progresses
What is nC0 always equal to no matter what n is? -
ANSWER 1
For example, what does 5! mean? -
ANSWER 5x4x3x2x1
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 simplify a surd in a fraction? –
ANSWER Multiply the denominator by DOTS of the surd clever number 1
What is the rule of x² × x⁷? -
ANSWER Add 2 and 7 to get x⁹
What is x⁻⁸? –
ANSWER 1/x⁸
How would you write x to the power of ¾? -
ANSWER (4th root of x)³
What are natural numbers? -
ANSWER Postitive integers including 0
What does Z mean? -
ANSWER All the positive and negative integers
What does Q mean? -
ANSWER Integers that can be written as fractions
What does R mean? -
ANSWER Rational and irrational numbers (all numbers)
How do you quickly find a remainder of an equation given a factor? –
ANSWER Substitute in the factor, and this will equal the remainder
What change does the a in f(x) + a cause to a graph? -
ANSWER It causes the graph to move in the direction of the y axis
What change does the a in f(x+a) cause to a graph? -
ANSWER It causes the graph to move in the direction of the x axis
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)
What can pascals triangle be used for during binomial expansion? –
ANSWER Pascals triangle shows the coefficients of the expansion.
It also shows a pattern of the a²,a³ b²,b³ etc.
What is the pattern of the a² etc and b² etc? –
ANSWER The a's decrease as you go across the triangle.
The b's increase as you go across the triangle
How else can you find a coefficient of an expansion? -
ANSWER Using ⁿCr
What does the n and r stand for in nCr? -
ANSWER n is the number it is to the power of. r is the number of term which you want
to find
What does r start at? -
, ANSWER It starts from 0 and then progresses
What is nC0 always equal to no matter what n is? -
ANSWER 1
For example, what does 5! mean? -
ANSWER 5x4x3x2x1
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 simplify a surd in a fraction? –
ANSWER Multiply the denominator by DOTS of the surd clever number 1
What is the rule of x² × x⁷? -
ANSWER Add 2 and 7 to get x⁹
What is x⁻⁸? –
ANSWER 1/x⁸
How would you write x to the power of ¾? -
ANSWER (4th root of x)³
What are natural numbers? -
ANSWER Postitive integers including 0
What does Z mean? -
ANSWER All the positive and negative integers
What does Q mean? -
ANSWER Integers that can be written as fractions
What does R mean? -
ANSWER Rational and irrational numbers (all numbers)
