Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,322 prompts matching "IGCSE Additional Maths Y10: The equation of a line given two points on it — Expl"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Solve 5^(x+2) = 125^(x-1) with full working
I am in SS 3. Give me the exponential equation 5^(x+2) = 125^(x-1) as a structured questio
Subscribe to unlock allSolve 2sin(x) + 1 = 0 for 0 to 360 degrees
I am in SS 3. Give me the trigonometric equation 2sin(x)+1=0 to solve for all values of x
Subscribe to unlock allWorked example: fully factorise x^3 - 7x + 6
I am in SS 3. Show me a full worked example factorising the cubic x^3 - 7x + 6 completely
Subscribe to unlock allBuild me a two-week countdown revision schedule
I am in SS 3. Build me a two-week countdown revision schedule covering all of the Further
Subscribe to unlock allStructured question: quadratic with roots that differ by a given amount
I am in SS 3. Give me a structured question where I am told the roots of a quadratic diffe
Subscribe to unlock allStructured question: two quadratics sharing a common root
I am in SS 3. Give me a structured question where two quadratic equations are given and I
Subscribe to unlock allStructured question: polynomial with a given remainder pattern
I am in SS 3. Give me a structured polynomial question where a cubic leaves stated remaind
Subscribe to unlock allStructured question: circle with a diameter given by two endpoints
I am in SS 3. Give me a structured coordinate geometry question where two points are the e
Subscribe to unlock allWorked Example: Adding two 3 by 3 matrices
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on adding
Subscribe to unlock allWorked Example: A singular matrix, and why it has no inverse
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on a sing
Subscribe to unlock allWorked Example: Finding a value from a given probability by working backwards
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on findin
Subscribe to unlock allWorked Example: Testing two vectors for perpendicularity
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on testin
Subscribe to unlock allWorked Example: Squaring a complex number
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on squari
Subscribe to unlock allWorked Example: Differentiating a bracket raised to a power
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on differ
Subscribe to unlock allMultiply matrices step by step #1
Show me how to multiply A=[[2,1],[0,-3]], B=[[1,-2],[4,3]] using the row-times-column meth
Subscribe to unlock allMultiply matrices step by step #3
I am in SS 3. Show me how to multiply A=[[1,0,2],[3,1,-1],[2,-2,1]], B=[[2,1,0],[0,1,3],[-
Subscribe to unlock allMultiply matrices step by step #5
Show me how to multiply A=[[2,-1],[3,0]], B=[[1,4],[-2,5]] using the row-times-column meth
Subscribe to unlock allWhy is matrix multiplication not commutative
Explain in simple terms why AB is not usually equal to BA for matrices, using a worked 2x2
Subscribe to unlock allSpot my mistake in a matrix transpose
I am in SS 3. I found the transpose of A=[[1,2,3],[4,5,6]] as [[1,4],[2,5],[3,6]] — please
Subscribe to unlock allEvaluate a 3x3 determinant by expansion #2
Give me a 3x3 matrix like A=[[2,0,-1],[3,1,2],[-1,4,0]] and ask me to evaluate its determi
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