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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,267 prompts matching "Quiz: Writing a recurring decimal as a fraction to show it is rational"

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

WAEC exam question: circular permutation with a condition

I am in SS 3. Give me a WAEC-style Further Maths question on circular permutations where t

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Find the number of ways command word: combinations

I am in SS 3. Set me an exam question phrased 'find the number of ways', involving choosin

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Structured question: probability using combinations, exam style

I am in SS 3. Give me a structured question where I must find a probability by dividing th

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Structured question: three linked function sub-questions

I am in SS 3. Give me a structured question with three parts on the same pair of functions

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Solve 2^(3x-1) = 16 with full working

I am in SS 3. Give me the exponential equation 2^(3x-1) = 16 as an Additional Maths style

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Solve 5^(x+2) = 125^(x-1) with full working

I am in SS 3. Give me the exponential equation 5^(x+2) = 125^(x-1) as a structured questio

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Rationalise 7/(sqrt5 - 2) fully

I am in SS 3. Give me the surd expression 7/(sqrt5 - 2) as a Cambridge-style rationalising

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Solve log2(x+1) + log2(x-1) = 3 with full working

I am in SS 3. Give me the logarithmic equation log2(x+1) + log2(x-1) = 3 as a structured e

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Structured question: circle centre (3,-2) radius 5

I am in SS 3. Give me a structured question where the circle has centre (3,-2) and radius

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GP with 3rd term 18 and 6th term 486: find a and r

I am in SS 3. Give me a structured geometric progression question where the 3rd term is 18

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Differentiate y = 4x^3 - 6x^2 + 2x - 9 and evaluate the gradient at x=1

I am in SS 3. Give me the curve y = 4x^3 - 6x^2 + 2x - 9 as a structured differentiation q

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Give me an exam formula sheet for line and curve tangency conditions

I am in SS 3. Build me a short formula sheet covering every formula I need for conditions

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Spot my mistake: checking each line of a trigonometric identity proof

I am in SS 3. I will show you my full proof of a trigonometric identity. Check each line f

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Worked example: solve the simultaneous system y = 2x - 1 and y = x^2 - 4

I am in SS 3. Show me a full worked example solving the linear-quadratic system y=2x-1 and

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Structured word problem: fencing a rectangular garden

I am in SS 3. Set me a structured Additional Maths word problem where a farmer in Nigeria

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Structured word problem: WAEC exam hall seating combinations

I am in SS 3. Set me a structured combinations word problem about choosing students for an

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Structured word problem: market trader's geometric savings

I am in SS 3. Give me a structured geometric progression word problem where a market trade

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Simulate a WAEC Further Maths Section A objective test

I am in SS 3. Give me ten short objective-style Further Maths questions covering a mix of

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Simulate a WAEC Further Maths Section B theory question

I am in SS 3. Give me one long theory-style Further Maths question, similar to the Section

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Check whether my exam layout would satisfy a Cambridge examiner

I am in SS 3. I will show you my working for one exam-style question covered so far. Tell

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