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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "Practice: Collecting similar surds in an expression"

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: The sum of the products of the roots of a cubic taken two at a time

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the su

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Worked Example: The common acceleration of two connected particles

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Piecewise-style simple function evaluation

I am in SS 3. Quiz me with 4 short Additional Maths questions on evaluating a function tha

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Function notation applied to a real-world formula

I am in SS 3. I'm going to explain interpreting a real-world formula, such as cost as a fu

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Structured question: solve a logarithmic equation with two conditions

I am in SS 3. Give me a structured question where I solve a logarithmic equation and must

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Structured question: prove a trigonometric identity

I am in SS 3. Give me a structured 'prove that' trigonometric identity question where I mu

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Structured question: geometric progression with two given terms

I am in SS 3. Give me a structured geometric progression question where two non-consecutiv

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Give me a full Additional Maths style Paper 1 question set

I am in SS 3. Give me a short set of five short-answer Additional Maths style Paper 1 ques

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Give me a full Additional Maths style Paper 2 structured question

I am in SS 3. Give me one long structured Additional Maths style Paper 2 question with sev

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Structured question: two compound statements compared row by row

I am in SS 3. Give me a structured question where I must build truth tables for two differ

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Structured question: permutations with repeated letters

I am in SS 3. Set me a structured question asking for the number of distinct arrangements

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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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Quiz me on nPr versus nCr notation

I am in SS 3. Quiz me on when to use nPr and when to use nCr, giving me short scenarios an

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Structured question: fully factorise x^3 + 4x^2 - 11x - 30

I am in SS 3. Give me the cubic x^3 + 4x^2 - 11x - 30 as a structured factorisation questi

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Structured question: unknown coefficient from a factor condition

I am in SS 3. Give me a structured polynomial question where (x+1) is a known factor of a

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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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Solve 2cos^2(x) - cos(x) - 1 = 0 for 0 to 360 degrees

I am in SS 3. Give me the quadratic trigonometric equation 2cos^2(x)-cos(x)-1=0 to solve f

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Worked example: fully factorise x^3 - 7x + 6

I am in SS 3. Show me a full worked example factorising the cubic x^3 - 7x + 6 completely

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Worked example: solve 3^(2x) - 4(3^x) + 3 = 0

I am in SS 3. Show me a full worked example solving 3^(2x) - 4(3^x) + 3 = 0 by treating it

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Structured word problem: population growth as a geometric sequence

I am in SS 3. Set me a structured word problem where a town's population grows geometrical

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