Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →993 prompts matching "Rationalising and then cancelling a common factor"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Worked example: find the angle between the vectors (1,2) and (3,-1) using the dot product
Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:
Subscribe to unlock allWorked example: find 2a-3b where a=(4,1) and b=(-2,3)
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Subscribe to unlock allWorked example: expand (x+2)^5 fully using the binomial theorem
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Subscribe to unlock allWorked example: expand (1-x)^4 fully and use it to estimate (0.98)^4
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Subscribe to unlock allWorked example: construct the truth table for (p AND q) OR (NOT p)
Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo
Subscribe to unlock allWorked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)
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Subscribe to unlock allGive me a 5-minute recap of propositions and compound statements
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of propositions and comp
Subscribe to unlock allGive me a 5-minute recap of converse and inverse propositions
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of converse and inverse
Subscribe to unlock allGive me a 5-minute recap of indices and surds
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of indices and surds, co
Subscribe to unlock allGive me a 5-minute recap of sequences and series
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of sequences and series,
Subscribe to unlock allExpress in the form command word: completing the square
Set me a Cambridge Additional Maths question phrased 'Express x^2 + bx + c in the form (x+
Subscribe to unlock allDeduce command word: minimum value from completed square
I am in SS 2. Explain the command word 'deduce' with an example where completing the squar
Subscribe to unlock allGive your answer correct to command word: quadratic formula
I am in SS 2. Set me a quadratic formula question that says 'giving your answers correct t
Subscribe to unlock allForm a quadratic from a given sum and product
Set me a structured question: given the sum and product of the roots of a quadratic equati
Subscribe to unlock allFind alpha squared plus beta squared using sum and product
I am in SS 2. Give me an Additional Maths style question where I know alpha+beta and alpha
Subscribe to unlock allStructured question: solve a quadratic inequality and state the range
I am in SS 2. Give me a structured Cambridge Additional Maths question asking me to solve
Subscribe to unlock allFind the range of values command word: quadratic inequality
I am in SS 2. Set me an exam question phrased 'find the range of values of x for which...'
Subscribe to unlock allShow all your working command word: simultaneous equations
I am in SS 2. Set me a linear-quadratic simultaneous equations question that instructs 'sh
Subscribe to unlock allProve command word: line does not intersect a curve
I am in SS 2. Give me a 'prove that' style question where I must show a given line never m
Subscribe to unlock allStructured question: add and simplify two polynomials
I am in SS 2. Set me a structured Additional Maths question where I must add two given pol
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