1,261 prompts matching "Explain why Further Maths topics connect to each other"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Solve a 3x3 simultaneous equation system with Cramer's rule #2
I am in SS 3. Use Cramer's rule to solve the system 2x + y - z = 5, x - y + 2z = 1, 3x + 2
Show all working: the determinant of a three by three matrix
You are my SS3 Further Mathematics tutor. Teach me the determinant of a three by three mat
Find the resultant of two forces #1
I am in SS 3. Give me a problem with two forces of 8N and 6N acting at 60 degrees to each
Find the resultant of several concurrent forces #2
Give me a problem with four concurrent forces acting on a ring, each given with magnitude
Worked example: finding the argument in the correct quadrant
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on findin
Learn: The union of two sets written in set-builder notation
You are my personal SS3 Further Mathematics tutor. Teach me the union of two sets written
Worked Example: The intersection of two overlapping sets
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the in
Learn: Reading a binary operation defined by a formula such as a*b = a + b - ab
You are my personal SS3 Further Mathematics tutor. Teach me reading a binary operation def
Worked Example: Testing whether a binary operation is closed on a given set
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on testin
Learn: Simplifying a surd by extracting the largest perfect square
You are my personal SS3 Further Mathematics tutor. Teach me simplifying a surd by extracti
Worked Example: Collecting like surds in a single sum
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on collec
Worked Example: Simplifying an expression carrying both a negative and a fractional index
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on simpli
Learn: The sum and the product of the roots read from the coefficients
You are my personal SS3 Further Mathematics tutor. Teach me the sum and the product of the
Learn: Finding alpha squared plus beta squared from the sum and product
You are my personal SS3 Further Mathematics tutor. Teach me finding alpha squared plus bet
Worked Example: Finding one over alpha plus one over beta
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on findin
Learn: The degree of a polynomial and its leading coefficient
You are my personal SS3 Further Mathematics tutor. Teach me the degree of a polynomial and
Worked Example: Evaluating a polynomial by substitution
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on evalua
Learn: The sum of the roots of a cubic read from its coefficients
You are my personal SS3 Further Mathematics tutor. Teach me the sum of the roots of a cubi
Worked Example: The sum of the products of the roots of a cubic taken two at a time
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the su
Learn: Solving a linear inequality, and reversing the sign on dividing by a negative
You are my personal SS3 Further Mathematics tutor. Teach me solving a linear inequality, a