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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,000 prompts matching "Forming an equation whose roots are alpha squared and beta squared"

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

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Give me practice on simultaneous equations

Act as my SS2 Further Maths tutor. Give me six practice problems on simultaneous equations

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WAEC-style simultaneous equation problem

Act as my SS2 Further Maths tutor. Set me a WAEC Further Mathematics word problem that lea

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Quiz me on arrangements when some of the objects are alike

Act as my SS2 Further Mathematics tutor and quiz me on arrangements when some of the objec

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Worked example: solving an equation with logarithms to the same base

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on solvin

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Quiz me on the laws of logarithms used to solve an equation

Act as my SS2 Further Maths tutor. Quiz me with five expressions that I must simplify usin

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Worked example: solving simultaneous equations using matrices

Act as my SS2 Further Maths tutor. Show me a full worked example of solving a pair of simu

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Create a revision plan for quadratic equations

Act as my SS2 Further Maths tutor. Help me create a short revision plan for quadratic equa

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Create a revision plan for trigonometric identities and equations

Act as my SS2 Further Maths tutor. Help me create a short revision plan for trigonometric

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Summarise trigonometric identities and equations for quick revision

Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho

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Test me under exam conditions on trigonometric identities and equations

Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on tr

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Give me common mistakes students make in trigonometric identities and equations

Act as my SS2 Further Maths tutor. Tell me about the common mistakes SS2 students make whe

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Worked example: find the equation of the tangent to y = x^2 - 5x + 6 at the point where x = 1

Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation

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Worked example: find the equation of the line through (2,3) and (5,9)

Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome

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Worked example: find the equation of a circle with centre (2,-1) and radius 4

Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome

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Worked example: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1

Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem

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Worked example: how many distinct arrangements are there of the letters in the word MISSISSIPPI

Act as my SS2 Further Maths tutor. Show me a full worked example for this permutations and

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Worked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)

Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo

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Real-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

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Hence solve command word: quadratic equations

I am in SS 2. Explain what 'hence solve' means in an exam question, using an example where

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