1,045 prompts matching "Practice: The equation of a circle on a given diameter"
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Find sum and product of roots of x^2 - 8x + 15 = 0
Act as my SS2 Further Maths tutor. Show me how to find the sum and product of the roots of
Why simultaneous linear-quadratic systems can have two solutions
Act as my SS2 Further Maths tutor. Explain to me why solving a linear equation together wi
Teach me conditions for a line and a curve to intersect
Act as my SS2 Further Maths tutor. Teach me how to determine whether a given straight line
Worked example: simplifying an expression with fractional indices
Act as my SS2 Further Maths tutor. Show me a full worked example of simplifying an express
Quiz me on coordinate geometry basics
Act as my SS2 Further Maths tutor. Quiz me with five coordinate geometry questions coverin
Worked example: finding a term in an arithmetic progression
Act as my SS2 Further Maths tutor. Show me a full worked example of finding a specific ter
Give me a full mixed revision test
Act as my SS2 Further Maths tutor. Give me a mixed revision test of ten short questions co
Give me a Week 11 revision checklist
Act as my SS2 Further Maths tutor. Based on my Further Mathematics scheme of work covering
Cambridge-style structured question: line meets a curve
I am in SS 2. Give me a Cambridge Additional Maths structured question where I substitute
Teach me quadratic trinomial factorisation
Act as my SS2 Further Maths tutor. Teach me the general method for factorising quadratic t
Explain completing the square back to me
Act as my SS2 Further Maths tutor. I'll explain the completing the square method back to y
Why does completing the square work
Act as my SS2 Further Maths tutor. Explain to me why the completing the square method work
Explain sum and product of roots back to me
Act as my SS2 Further Maths tutor. I'll explain the sum and product of roots formulas back
Explain substitution method back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to use the substitutio
Spot my mistake finding a tangent condition
Act as my SS2 Further Maths tutor. I substituted my line into the curve equation to find w
WAEC question on maximum and minimum values from curves
Act as my SS2 Further Maths tutor. Give me a WAEC Further Mathematics style question about
Give me practice adding and subtracting polynomials
Act as my SS2 Further Maths tutor. Give me eight practice questions on adding and subtract
Quiz me on polynomial division by a quadratic divisor
Act as my SS2 Further Maths tutor. Quiz me with four polynomial division by a quadratic di
Explain polynomial long division back to me
Act as my SS2 Further Maths tutor. I'll explain the steps of polynomial long division back
Worked example: using the factor theorem to factorise a cubic
Act as my SS2 Further Maths tutor. Show me a full worked example of using the factor theor