Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,044 prompts matching "The course to steer so that a boat crosses straight over"
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: 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: find the term in x^3 in the expansion of (2x-1)^6
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Subscribe to unlock allWorked example: find the coefficient of x^4 in the expansion of (1+3x)^7
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: determine whether the argument 'if p then q; p; therefore q' is valid using a truth table
Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo
Subscribe to unlock allWorked example: write the converse, inverse and contrapositive of 'if a number is even, then it is divisible by 2'
Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo
Subscribe to unlock allGive me a 5-minute recap of completing the square
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of completing the square
Subscribe to unlock allGive me a 5-minute recap of the quadratic formula
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of the quadratic formula
Subscribe to unlock allGive me a 5-minute recap of the remainder theorem
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of the remainder theorem
Subscribe to unlock allGive me a 5-minute recap of tautologies
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of tautologies, covering
Subscribe to unlock allGive me a 5-minute recap of the binomial theorem
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of the binomial theorem,
Subscribe to unlock allGive me a 5-minute recap of vectors
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of vectors, covering onl
Subscribe to unlock allMulti-part exam question on factorising trinomials
I am in SS 2. Give me a three-part exam-style question, (a) (b) (c), where each part asks
Subscribe to unlock allNon-calculator paper: factorise and simplify a fraction
Set me a non-calculator Additional Maths style question where I must factorise both the nu
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 allStructured question: complete the square then find the minimum
I am in SS 2. Give me a two-part structured question where I first complete the square for
Subscribe to unlock allSpot my mistake in a quadratic inequality solution
I am in SS 2. I will show you my working for solving a quadratic inequality. Check whether
Subscribe to unlock allFind k command word: line tangent to a curve
I am in SS 2. Set me an Additional Maths exam question phrased 'find the value of k for wh
Subscribe to unlock allExplain back: completing the square when the coefficient of x squared is not one
I have just studied completing the square when the coefficient of x squared is not one in
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