Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,045 prompts matching "An aeroplane in a cross-wind, and its resultant track"
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 AB where A = [[1,2],[3,4]] and B = [[2,0],[1,3]]
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem
Subscribe to unlock allWorked example: find A+B and A-B where A = [[1,-2],[3,0]] and B = [[4,1],[-2,5]]
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem
Subscribe to unlock allWorked example: find a+b where a=(2,-1) and b=(-3,5)
Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:
Subscribe to unlock allWorked 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)
Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:
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: 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 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 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 allExplain Back: The zero product rule, and why it works
I have just studied the zero product rule, and why it works in my SS2 Further Mathematics
Subscribe to unlock allWorked Example: Halving the coefficient of x and squaring it
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on halvin
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