Edexcel Further Mathematics Core Pure 1 & 2. All Exam Questions and
Correct Answers | Graded A+ | 2025/2026 Update|
Complex conjugate of a + bi - a - bi
If a polynomial has real coefficients and a complex number as a root then - The complex
conugate of that number is also a root
If b^2-4ac < 0, then - There are two imaginary roots
How can a complex number z = x + iy be represented on an argand diagram? - The vector
(x, y)
What is the modulus of a complex number? - The distance from the origin to that number
on an agenda diagram, for z = x +iy it would be the square root of x^2 + y^2
What is the argument of a complex number? - The angle between the positive axis and the
line joint the number to the origin on an argand diagram. For z = x + iy, tan theta = y/x
The argument when z is in the first quadrant - Alpha
The argument when z is in the second quadrant - Pi - alpha
The argument when z lies in the third quadrant - -(pi - alpha)
The argument when z lies in the fourth quadrant - -alpha
What is the modulus-argument form of a complex number with a modulus r and argument theta?
- z = r(costheta + isintheta)
, Argument(z1z2) and Arg(z1/z2) - Arg(z1) + Arg(z2)
Arg(z1) - Arg(z2)
Find the distance between to points in an argand diagram - |z1-z2|
How to display the locus of points z of z1 = x1 + iy1 - A circle center (x1,y1) and radius r,
r being |z-z1|
Formula for the sum of the first n natural numbers - (nΣr=1) r = ½n(n+1)
If α and β are roots of a quadratic then - α + β = -b/a
αβ = c/a
If α and β and γ are roots of a cubic then - α + β + γ = -b/a
αβ + βγ + αγ = c/a
αβγ = -d/a
If α and β and γ and δ are roots of a quartic then - α+β+γ+δ = -b/a
αβ + αγ + αδ + βγ + βδ + γδ = c/a
αβγ + αγδ + βγδ + αβδ = -d/a
αβγδ = e/a
volume of revolution about x axis - pi integral y^2 dx
Volume of revolution about y axis - pi integral x^2 dy
Volume of cone - 1/3 pi r^2 h
Correct Answers | Graded A+ | 2025/2026 Update|
Complex conjugate of a + bi - a - bi
If a polynomial has real coefficients and a complex number as a root then - The complex
conugate of that number is also a root
If b^2-4ac < 0, then - There are two imaginary roots
How can a complex number z = x + iy be represented on an argand diagram? - The vector
(x, y)
What is the modulus of a complex number? - The distance from the origin to that number
on an agenda diagram, for z = x +iy it would be the square root of x^2 + y^2
What is the argument of a complex number? - The angle between the positive axis and the
line joint the number to the origin on an argand diagram. For z = x + iy, tan theta = y/x
The argument when z is in the first quadrant - Alpha
The argument when z is in the second quadrant - Pi - alpha
The argument when z lies in the third quadrant - -(pi - alpha)
The argument when z lies in the fourth quadrant - -alpha
What is the modulus-argument form of a complex number with a modulus r and argument theta?
- z = r(costheta + isintheta)
, Argument(z1z2) and Arg(z1/z2) - Arg(z1) + Arg(z2)
Arg(z1) - Arg(z2)
Find the distance between to points in an argand diagram - |z1-z2|
How to display the locus of points z of z1 = x1 + iy1 - A circle center (x1,y1) and radius r,
r being |z-z1|
Formula for the sum of the first n natural numbers - (nΣr=1) r = ½n(n+1)
If α and β are roots of a quadratic then - α + β = -b/a
αβ = c/a
If α and β and γ are roots of a cubic then - α + β + γ = -b/a
αβ + βγ + αγ = c/a
αβγ = -d/a
If α and β and γ and δ are roots of a quartic then - α+β+γ+δ = -b/a
αβ + αγ + αδ + βγ + βδ + γδ = c/a
αβγ + αγδ + βγδ + αβδ = -d/a
αβγδ = e/a
volume of revolution about x axis - pi integral y^2 dx
Volume of revolution about y axis - pi integral x^2 dy
Volume of cone - 1/3 pi r^2 h
