Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,024 prompts matching "Structured question: intersection of a line and a circle"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Spot my mistake with sum and product of roots
Act as my SS2 Further Maths tutor. I calculated the sum and product of the roots of 2x^2-5
Subscribe to unlock allTeach me conditions for a line and a curve to intersect
Act as my SS2 Further Maths tutor. Teach me how to determine whether a given straight line
Subscribe to unlock allFind the value of k for a line to be tangent to a curve
Act as my SS2 Further Maths tutor. Teach me how to find an unknown constant k in a line's
Subscribe to unlock allExplain line-curve intersection conditions back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to use the discriminan
Subscribe to unlock allSum and product of roots of a cubic equation
Act as my SS2 Further Maths tutor. Teach me how to find the sum and product of the roots o
Subscribe to unlock allWorked example: converse and inverse of a statement
Act as my SS2 Further Maths tutor. Show me a full worked example of writing the converse a
Subscribe to unlock allWAEC question on indices and surds
Act as my SS2 Further Maths tutor. Give me a WAEC Further Mathematics style question combi
Subscribe to unlock allWorked example: standard deviation of a small data set
Act as my SS2 Further Maths tutor. Show me a full worked example of calculating the varian
Subscribe to unlock allWorked example: an AP with first term 5 and common difference 3, find the 20th term and the sum of the first 20 terms
Act as my SS2 Further Maths tutor. Show me a full worked example for this sequences and se
Subscribe to unlock allWorked example: a GP with first term 4 and common ratio 2, find the 8th term and the sum of the first 8 terms
Act as my SS2 Further Maths tutor. Show me a full worked example for this sequences and se
Subscribe to unlock allWorked example: find the stationary points of y = x^3 - 3x^2 - 9x + 5 and classify each one
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Subscribe to unlock allWorked example: find the midpoint of the segment joining (-3,5) and (7,-1)
Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome
Subscribe to unlock allWorked example: find the modulus and argument of 3+4i
Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers
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 allReal-life application of sum and product of roots
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where sum an
Subscribe to unlock allReal-life application of the condition for a line to be tangent to a curve
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where the co
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,
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