Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,334 prompts matching "the change of base formula in a calculation"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Simplify (8^(2/3) times 4^(-1/2)) fully
I am in SS 3. Set me a non-calculator indices question simplifying an expression like 8^(2
Subscribe to unlock allRationalise 7/(sqrt5 - 2) fully
I am in SS 3. Give me the surd expression 7/(sqrt5 - 2) as a Cambridge-style rationalising
Subscribe to unlock allShow that (sqrt3+1)^2 = 4+2sqrt3
I am in SS 3. Set me the 'show that' surd question (sqrt3+1)^2 = 4+2sqrt3, and check that
Subscribe to unlock allStructured question: circle centre (3,-2) radius 5
I am in SS 3. Give me a structured question where the circle has centre (3,-2) and radius
Subscribe to unlock allSolve 2cos^2(x) - cos(x) - 1 = 0 for 0 to 360 degrees
I am in SS 3. Give me the quadratic trigonometric equation 2cos^2(x)-cos(x)-1=0 to solve f
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 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 allStructured word problem: population growth as a geometric sequence
I am in SS 3. Set me a structured word problem where a town's population grows geometrical
Subscribe to unlock allStructured question: surd equation with a solution to reject
I am in SS 3. Give me a structured surd equation question where squaring both sides introd
Subscribe to unlock allStructured question: logic puzzle solved with a truth table
I am in SS 3. Give me a short logic puzzle involving two or three statements about people
Subscribe to unlock allWAEC exam question: sequences applied to loan repayment
I am in SS 3. Give me a WAEC-style Further Maths question where a fixed amount is repaid e
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 allPractice: A 2 by 2 matrix multiplied by a column vector
Act as my SS3 Further Mathematics tutor. Give me five practice questions on a 2 by 2 matri
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 allWAEC Prep: A skew-symmetric matrix
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through a skew-symmetric m
Subscribe to unlock allPractice: A diagonal matrix
Act as my SS3 Further Mathematics tutor. Give me five practice questions on a diagonal mat
Subscribe to unlock allWAEC Prep: A matrix expression with brackets to expand
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through a matrix expressio
Subscribe to unlock allWAEC Prep: Cramer's rule applied to a pair with fractional coefficients
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through Cramer's rule appl
Subscribe to unlock allWAEC Prep: Simultaneous equations with fractional coefficients solved by matrix
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through simultaneous equat
Subscribe to unlock allWAEC Prep: Mass, and how it differs from weight
Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o
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