Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,045 prompts matching "Rationalising when both terms of the denominator are surds"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Real-life application of completing the square
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where comple
Subscribe to unlock allComplete the square for x^2 + 6x + 5 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 + 6x + 5 = 0 by c
Subscribe to unlock allComplete the square for x^2 - 4x - 1 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 - 4x - 1 = 0 by c
Subscribe to unlock allComplete the square for x^2 + 8x + 10 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 + 8x + 10 = 0 by
Subscribe to unlock allComplete the square for 2x^2 + 4x - 3 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve 2x^2 + 4x - 3 = 0 by
Subscribe to unlock allComplete the square for x^2 - 10x + 21 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 - 10x + 21 = 0 by
Subscribe to unlock allComplete the square for x^2 + 3x - 4 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 + 3x - 4 = 0 by c
Subscribe to unlock allComplete the square for 3x^2 + 6x - 2 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve 3x^2 + 6x - 2 = 0 by
Subscribe to unlock allWorked example: rationalising a binomial surd denominator
Act as my SS2 Further Maths tutor. Show me a complete worked example of rationalising the
Subscribe to unlock allStructured question: complete the square then find the minimum
I am in SS 2. Give me a two-part structured question where I first complete the square for
Subscribe to unlock allQuiz: Factorising a difference of two squares in order to solve it
Act as my SS2 Further Mathematics tutor and quiz me on factorising a difference of two squ
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 allFinal Revision: Why completing the square always works
Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of w
Subscribe to unlock allIGCSE Additional Maths Y11: An area enclosed by a curve and both axes — Show All Working
I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Set me a question on a
Subscribe to unlock allDifference of two squares practice
Act as my SS2 Further Maths tutor. Teach me how to recognise and factorise a difference of
Subscribe to unlock allQuiz me on completing the square to find a turning point
Act as my SS2 Further Maths tutor. Quiz me with four quadratic equations that I must solve
Subscribe to unlock allExplain completing the square back to me
Act as my SS2 Further Maths tutor. I'll explain the completing the square method back to y
Subscribe to unlock allSpot my mistake completing the square
Act as my SS2 Further Maths tutor. I tried to complete the square for x^2+6x+5=0 but I thi
Subscribe to unlock allWhy does completing the square work
Act as my SS2 Further Maths tutor. Explain to me why the completing the square method work
Subscribe to unlock allDiscriminant and the nature of roots
Act as my SS2 Further Maths tutor. Teach me how to use the discriminant b^2-4ac from the q
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