Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,045 prompts matching "The rate at which the height of a liquid rises in a cone"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Give me common mistakes students make in differentiation
Act as my SS2 Further Maths tutor. Tell me about the common mistakes SS2 students make whe
Subscribe to unlock allSimplify the surd expression sqrt(72) + sqrt(18)
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Subscribe to unlock allSimplify the surd expression sqrt(50) - sqrt(8)
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Subscribe to unlock allSimplify the surd expression (3+sqrt2)(3-sqrt2)
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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 allWorked example: find the distance between the points (1,2) and (4,6)
Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome
Subscribe to unlock allWorked example: solve x^2+4x+13=0 giving the roots as complex numbers
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Subscribe to unlock allWorked example: find the angle between the vectors (1,2) and (3,-1) using the dot product
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Subscribe to unlock allWorked example: construct the truth table for (p AND q) OR (NOT p)
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Subscribe to unlock allWorked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)
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Subscribe to unlock allWorked example: determine whether the argument 'if p then q; p; therefore q' is valid using a truth table
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Subscribe to unlock allWorked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q
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Subscribe to unlock allShow that command word: quadratic factorisation
I am in SS 2. Explain what the command word 'Show that' means in a Cambridge Additional Ma
Subscribe to unlock allHence solve command word: quadratic equations
I am in SS 2. Explain what 'hence solve' means in an exam question, using an example where
Subscribe to unlock allWord problem leading to a factorable quadratic
I am in SS 2. Set me an Additional Maths style word problem, such as one about area or con
Subscribe to unlock allWAEC-style multi-mark question on completing the square
I am in SS 2. Give me a WAEC Further Maths style completing the square question worth four
Subscribe to unlock allStructured question: quadratic formula with exact surd answer
I am in SS 2. Give me a quadratic formula question where the answer must be left as an exa
Subscribe to unlock allGive your answer correct to command word: quadratic formula
I am in SS 2. Set me a quadratic formula question that says 'giving your answers correct t
Subscribe to unlock allStructured question: classify a line-curve relationship
I am in SS 2. Give me three short parts, each with a different line and the same curve, as
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