Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,331 prompts matching "IGCSE Additional Maths Y11: Checking an answer for reasonableness — Show All Wor"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Structured question: find the equation of a normal to a curve
I am in SS 3. Set me a structured question where I find the gradient of a tangent by diffe
Subscribe to unlock allStructured question: permutation versus combination in one paper
I am in SS 3. Give me a structured two-part question where part (a) requires a permutation
Subscribe to unlock allStructured question: probability using combinations, exam style
I am in SS 3. Give me a structured question where I must find a probability by dividing th
Subscribe to unlock allStructured question: fully factorise x^3 + 4x^2 - 11x - 30
I am in SS 3. Give me the cubic x^3 + 4x^2 - 11x - 30 as a structured factorisation questi
Subscribe to unlock allStructured question: unknown coefficient from a factor condition
I am in SS 3. Give me a structured polynomial question where (x+1) is a known factor of a
Subscribe to unlock allStructured question: three linked function sub-questions
I am in SS 3. Give me a structured question with three parts on the same pair of functions
Subscribe to unlock allSimplify (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 allSolve log2(x+1) + log2(x-1) = 3 with full working
I am in SS 3. Give me the logarithmic equation log2(x+1) + log2(x-1) = 3 as a structured e
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 allProve that (1-cos^2x)/sinx = sinx
I am in SS 3. Give me the 'prove that' identity (1-cos^2x)/sinx = sinx as a structured que
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: 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: 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: 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: cubic equation from three given roots
I am in SS 3. Set me a structured question where I am given all three roots of a cubic equ
Subscribe to unlock allStructured question: logarithmic inequality
I am in SS 3. Set me a structured question solving a simple logarithmic inequality, and ch
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
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