Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,045 prompts matching "Quiz: The direction cosines of a vector in three dimensions"
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 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 a+b where a=(2,-1) and b=(-3,5)
Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:
Subscribe to unlock allWorked example: find 2a-3b where a=(4,1) and b=(-2,3)
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 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 sum and product of roots
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where sum an
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 allDiscriminant classification exam question
I am in SS 2. Give me a short structured question where I must use the discriminant to sta
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 allTeach me solving quadratic inequalities
Teach me how to solve a quadratic inequality like x^2-5x+6>0 using a sketch of the curve a
Subscribe to unlock allCambridge-style structured question: line meets a curve
I am in SS 2. Give me a Cambridge Additional Maths structured question where I substitute
Subscribe to unlock allFind k command word: line tangent to a curve
I am in SS 2. Set me an Additional Maths exam question phrased 'find the value of k for wh
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
Subscribe to unlock allStructured question: classify a line-curve relationship
I am in SS 2. Give me three short parts, each with a different line and the same curve, as
Subscribe to unlock allNon-calculator paper: subtract polynomials and state the degree
Set me a non-calculator question where I subtract one polynomial from another, simplify, a
Subscribe to unlock allShow All Working: A quadratic whose two roots are both negative
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on a quadratic who
Subscribe to unlock allCommon Mistakes: Checking a completed square by expanding it again
Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on che
Subscribe to unlock allShow All Working: Roots equal in magnitude but opposite in sign
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on roots equal in
Subscribe to unlock allCommon Mistakes: A word problem giving one linear and one quadratic equation
Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on a w
Subscribe to unlock allPractice: Polynomial notation such as P of x
Act as my SS2 Further Mathematics tutor. Give me five practice questions on polynomial not
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