Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,334 prompts matching "Give me practice on completing the square"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Structured question: permutations with repeated letters
I am in SS 3. Set me a structured question asking for the number of distinct arrangements
Subscribe to unlock allStructured question: permutation versus combination in one paper
I am in SS 3. Give me a structured two-part question where part (a) requires a permutation
Subscribe to unlock allSpot my mistake in a combination calculation
I am in SS 3. I will show you my working for a combination problem. Check whether I used n
Subscribe to unlock allExpress x^2 + 10x - 3 in completed-square form
I am in SS 3. Set me the expression x^2 + 10x - 3 as a Cambridge-style 'express in the for
Subscribe to unlock allExpress x^2 - 14x + 20 in completed-square form
I am in SS 3. Set me the expression x^2 - 14x + 20 as a Cambridge-style 'express in the fo
Subscribe to unlock allExpress x^2 + 5x + 1 in completed-square form
I am in SS 3. Set me the expression x^2 + 5x + 1 as a Cambridge-style 'express in the form
Subscribe to unlock allExpress 2x^2 - 8x + 3 in completed-square form
I am in SS 3. Set me the expression 2x^2 - 8x + 3 as a Cambridge-style 'express in the for
Subscribe to unlock allExpress x^2 - 9x + 4 in completed-square form
I am in SS 3. Set me the expression x^2 - 9x + 4 as a Cambridge-style 'express in the form
Subscribe to unlock allFind the remainder command word: cubic divided by a linear factor
I am in SS 3. Set me an exam question phrased 'find the remainder when f(x) is divided by
Subscribe to unlock allShow that command word: a function is its own inverse
I am in SS 3. Set me a 'show that' function question where I must show a given function is
Subscribe to unlock allSimplify (8^(2/3) times 4^(-1/2)) fully
I am in SS 3. Set me a non-calculator indices question simplifying an expression like 8^(2
Subscribe to unlock allSpot my mistake: forming a quadratic equation from its roots
Act as my SS3 Further Mathematics tutor. Work a question on forming a quadratic equation f
Subscribe to unlock allSpot my mistake: solving an exponential equation
I am in SS 3. I will show you my working for solving an exponential equation by matching b
Subscribe to unlock allWorked 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
Subscribe to unlock allCheck 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
Subscribe to unlock allStructured question: find k so a cubic has a repeated root
I am in SS 3. Set me a structured question where a cubic contains an unknown k, and I must
Subscribe to unlock allStructured question: logarithmic equation reducing to a quadratic
I am in SS 3. Set me a structured logarithmic equation question where substituting y=log(x
Subscribe to unlock allStructured question: binomial expansion coefficient equation
I am in SS 3. Set me a structured binomial theorem question where I am told two coefficien
Subscribe to unlock allStructured question: quadratic word problem about a thrown ball
I am in SS 3. Set me a structured Additional Maths word problem where the height of a thro
Subscribe to unlock allStructured question: logarithmic inequality
I am in SS 3. Set me a structured question solving a simple logarithmic inequality, and ch
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