Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →975 prompts matching "Union and intersection of two number sets"
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 AB where A = [[1,2],[3,4]] and B = [[2,0],[1,3]]
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem
Subscribe to unlock allWorked 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
Subscribe to unlock allWorked example: find A+B and A-B where A = [[1,-2],[3,0]] and B = [[4,1],[-2,5]]
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem
Subscribe to unlock allWorked example: find the magnitude of the vector (3,4)
Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:
Subscribe to unlock allWorked example: find the unit vector in the direction of (6,8)
Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:
Subscribe to unlock allWorked example: how many ways can a committee of 4 be chosen from 10 people
Act as my SS2 Further Maths tutor. Show me a full worked example for this permutations and
Subscribe to unlock allWorked example: how many distinct arrangements are there of the letters in the word MISSISSIPPI
Act as my SS2 Further Maths tutor. Show me a full worked example for this permutations and
Subscribe to unlock allWorked example: expand (x+2)^5 fully using the binomial theorem
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Subscribe to unlock allWorked 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
Subscribe to unlock allReal-life application of measures of dispersion
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where measur
Subscribe to unlock allReal-life application of testing the validity of an argument
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where testin
Subscribe to unlock allNon-calculator paper: factorise and simplify a fraction
Set me a non-calculator Additional Maths style question where I must factorise both the nu
Subscribe to unlock allStructured question: solve and check a quadratic equation
Give me a structured Additional Maths question with two parts: (a) solve a quadratic equat
Subscribe to unlock allDeduce command word: minimum value from completed square
I am in SS 2. Explain the command word 'deduce' with an example where completing the squar
Subscribe to unlock allFind the value of k: quadratic with equal roots
Set me an Additional Maths exam question of the type 'find the value of k for which the eq
Subscribe to unlock allForm a quadratic from a given sum and product
Set me a structured question: given the sum and product of the roots of a quadratic equati
Subscribe to unlock allStructured question: new equation with roots 1/alpha and 1/beta
I am in SS 2. Set me a multi-part question where I first find the sum and product of the r
Subscribe to unlock allWAEC exam question: symmetric functions of roots
I am in SS 2. Give me a WAEC-style Further Maths question asking for alpha^3+beta^3 or (al
Subscribe to unlock allShow all your working command word: simultaneous equations
I am in SS 2. Set me a linear-quadratic simultaneous equations question that instructs 'sh
Subscribe to unlock allProve command word: line does not intersect a curve
I am in SS 2. Give me a 'prove that' style question where I must show a given line never m
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