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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "Why a rational number added to an irrational one stays irrational"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

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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Explain arithmetic and geometric progressions back to me

Act as my SS2 Further Maths tutor. I'll explain the difference between an arithmetic progr

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Worked example: finding the angle between two vectors

Act as my SS2 Further Maths tutor. Show me a full worked example of finding the angle betw

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Explain standard deviation back to me

Act as my SS2 Further Maths tutor. I'll explain in my own words what standard deviation me

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Create a revision plan for polynomials and the remainder/factor theorems

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

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Create a revision plan for vectors

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

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Summarise polynomials and the remainder/factor theorems 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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Give me common mistakes students make in polynomials and the remainder/factor theorems

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

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Explain why Further Maths topics connect to each other

Act as my SS2 Further Maths tutor. Explain to me how the topics I've studied so far, like

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Worked example: a GP with first term 100 and common ratio 0.5, find the sum to infinity

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

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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: 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: 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:

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Worked example: use the binomial expansion to estimate (2.01)^5 to 4 decimal places

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

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Worked 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

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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 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

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Non-calculator paper: factorise and simplify a fraction

Set me a non-calculator Additional Maths style question where I must factorise both the nu

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Give 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

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Find 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

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