Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,230 prompts matching "Gradient as a rate of change interpretation"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Express x^2 - 9x + 4 in completed-square form
I am in SS 3. Set me the expression x^2 - 9x + 4 as a Cambridge-style 'express in the form
Subscribe to unlock allStructured question: fully factorise x^3 - 2x^2 - 5x + 6
I am in SS 3. Give me the cubic x^3 - 2x^2 - 5x + 6 as a structured Additional Maths quest
Subscribe to unlock allSolve 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 allStructured question: line through (1,4) and (5,-2)
I am in SS 3. Give me a structured coordinate geometry question using the points (1,4) and
Subscribe to unlock allSpot my mistake: forming a quadratic equation from its roots
Act as my SS3 Further Mathematics tutor. Work a question on forming a quadratic equation f
Subscribe to unlock allSpot my mistake: finding a stationary point
I am in SS 3. I will show you my working for finding and classifying a stationary point of
Subscribe to unlock allWorked example: solve 3^(2x) - 4(3^x) + 3 = 0
I am in SS 3. Show me a full worked example solving 3^(2x) - 4(3^x) + 3 = 0 by treating it
Subscribe to unlock allWorked example: prove an argument invalid using a truth table
I am in SS 3. Show me a full worked example of testing a logical argument for validity usi
Subscribe to unlock allWorked example: seat 4 boys and 3 girls alternately in a row
I am in SS 3. Show me a full worked example finding the number of ways to seat 4 boys and
Subscribe to unlock allStructured question: binomial expansion used for a probability estimate
I am in SS 3. Give me a structured question where I use a binomial expansion to estimate a
Subscribe to unlock allStructured question: curve sketching using stationary points
I am in SS 3. Give me a structured question where I find the stationary points of a cubic
Subscribe to unlock allSpot My Mistake: Why matrix subtraction is not commutative
Act as my SS3 Further Mathematics tutor. Work a question on why matrix subtraction is not
Subscribe to unlock allSpot My Mistake: Squaring a 2 by 2 matrix
Act as my SS3 Further Mathematics tutor. Work a question on squaring a 2 by 2 matrix with
Subscribe to unlock allSpot My Mistake: Multiplying a 3 by 3 matrix by a 3 by 1 column
Act as my SS3 Further Mathematics tutor. Work a question on multiplying a 3 by 3 matrix by
Subscribe to unlock allSpot My Mistake: Orders that make a product possible one way round but not the other
Act as my SS3 Further Mathematics tutor. Work a question on orders that make a product pos
Subscribe to unlock allSpot My Mistake: A symmetric matrix, equal to its own transpose
Act as my SS3 Further Mathematics tutor. Work a question on a symmetric matrix, equal to i
Subscribe to unlock allSpot My Mistake: Forming the determinant Dx by replacing the first column
Act as my SS3 Further Mathematics tutor. Work a question on forming the determinant Dx by
Subscribe to unlock allSpot My Mistake: Checking a Cramer's rule solution by substituting back
Act as my SS3 Further Mathematics tutor. Work a question on checking a Cramer's rule solut
Subscribe to unlock allSpot My Mistake: Why the inverse must be applied on the correct side
Act as my SS3 Further Mathematics tutor. Work a question on why the inverse must be applie
Subscribe to unlock allSpot My Mistake: Compounding three forces acting at one point
Act as my SS3 Further Mathematics tutor. Work a question on compounding three forces actin
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