Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,045 prompts matching "Practice: Rationalising a denominator of the form root a"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Simplify the surd expression (3+sqrt2)(3-sqrt2)
Act as my SS2 Further Maths tutor. Show me step by step how to simplify (3+sqrt2)(3-sqrt2)
Subscribe to unlock allSimplify the surd expression 5/(1+sqrt3)
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Subscribe to unlock allSimplify the surd expression (2+sqrt5)^2
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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 allStructured question: new equation with roots 1/alpha and 1/beta
I am in SS 2. Set me a multi-part question where I first find the sum and product of the r
Subscribe to unlock allGive me practice solving quadratic equations
Act as my SS2 Further Maths tutor. Give me ten practice quadratic equations to solve by fa
Subscribe to unlock allGive me practice on converse and inverse propositions
Act as my SS2 Further Maths tutor. Give me six conditional statements and ask me to form a
Subscribe to unlock allSpot my mistake forming a converse
Act as my SS2 Further Maths tutor. I tried to form the converse of a conditional statement
Subscribe to unlock allWorked example: arranging letters of a word
Act as my SS2 Further Maths tutor. Show me a full worked example of finding the number of
Subscribe to unlock allGive me practice on permutations and combinations
Act as my SS2 Further Maths tutor. Give me ten mixed practice questions on permutations an
Subscribe to unlock allGive me practice on probability using combinatorics
Act as my SS2 Further Maths tutor. Give me six practice probability problems that must be
Subscribe to unlock allGive me practice on indices and surds
Act as my SS2 Further Maths tutor. Give me eight practice questions mixing laws of indices
Subscribe to unlock allGive me practice on complex numbers
Act as my SS2 Further Maths tutor. Give me eight practice questions on complex numbers, in
Subscribe to unlock allWorked example: finding the angle between two vectors
Act as my SS2 Further Maths tutor. Show me a full worked example of finding the angle betw
Subscribe to unlock allSummarise polynomials and the remainder/factor theorems for quick revision
Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho
Subscribe to unlock allSummarise the binomial theorem for quick revision
Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho
Subscribe to unlock allSummarise measures of dispersion for quick revision
Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho
Subscribe to unlock allWorked example: how many ways can a committee of 4 be chosen from 10 people
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Subscribe to unlock allGive me a 5-minute recap of quadratic equations
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of quadratic equations,
Subscribe to unlock allGive me a 5-minute recap of polynomial division
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of polynomial division,
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