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Further Mathematics

AI prompts for senior secondary learners.

πŸ“… 36-Week WAEC Study Guide for Further Mathematics β†’
Three prompts in each subject are free to try. One subscription opens every subject and every prompt in senior secondary, or subscribe your whole school. Already have a code? Enter it here.
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887 prompts matching "Multi-part index exam question with a real context"

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 the term in x^3 in the expansion of (2x-1)^6

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

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Worked example: find the coefficient of x^4 in the expansion of (1+3x)^7

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

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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 (p AND q) OR (NOT p)

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

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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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Worked example: determine whether the argument 'if p then q; p; therefore q' is valid using a truth table

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

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Worked 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

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Worked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q

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

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Cambridge-style question: quadratic formula derivation

I am in SS 2. Ask me to derive the quadratic formula from ax^2+bx+c=0 by completing the sq

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Structured 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

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Cambridge-style structured question: line meets a curve

I am in SS 2. Give me a Cambridge Additional Maths structured question where I substitute

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IGCSE Additional Maths Y11: Giving an exact answer in terms of pi β€” Exam Technique

I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Show me how to handle

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IGCSE Additional Maths Y11: The ratios of an angle given in radians β€” Exam Technique

I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Show me how to handle

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IGCSE Additional Maths Y11: The commonest error made in proving an identity β€” Exam Technique

I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Show me how to handle

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IGCSE Additional Maths Y11: When cot x is nought, and when it is undefined β€” Exam Technique

I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Show me how to handle

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IGCSE Additional Maths Y11: Telling nPr from nCr in the wording of a question β€” Common Mistakes

I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Show me the mistake ca

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IGCSE Additional Maths Y11: The resultant of two displacement vectors β€” Exam Technique

I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Show me how to handle

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IGCSE Additional Maths Y11: A vector proof set in the Cambridge 'show that' style β€” Exam Technique

I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Show me how to handle

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IGCSE Additional Maths Y11: Differentiating a quotient in the Cambridge style β€” Exam Technique

I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Show me how to handle

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