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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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798 prompts matching "Solve x^2 - 2x - 35 = 0 with full exam working"

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Find sum and product of roots of 2x^2 - 5x + 3 = 0

Act as my SS2 Further Maths tutor. Show me how to find the sum and product of the roots of

Spot my mistake with sum and product of roots

Act as my SS2 Further Maths tutor. I calculated the sum and product of the roots of 2x^2-5

Worked example: reading the solutions as points of intersection

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on readin

Worked example: is this line tangent to this curve

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Worked example: adding two polynomials

Act as my SS2 Further Maths tutor. Show me a full worked example of adding two polynomials

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

Worked example: truth table for a compound statement

Act as my SS2 Further Maths tutor. Show me a full worked example of constructing the truth

Worked example: converse and inverse of a statement

Act as my SS2 Further Maths tutor. Show me a full worked example of writing the converse a

Worked example: proving two statements are logically equivalent

Act as my SS2 Further Maths tutor. Show me a full worked example of proving that two compo

Worked example: proving a statement is a tautology

Act as my SS2 Further Maths tutor. Show me a full worked example of using a truth table to

Worked example: choosing a committee

Act as my SS2 Further Maths tutor. Show me a full worked example of using combinations to

Worked example: probability of selecting a committee

Act as my SS2 Further Maths tutor. Show me a full worked example of finding the probabilit

Worked example: expanding (x+y)^4 using Pascal's triangle

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Worked example: finding the middle term of a binomial expansion

Act as my SS2 Further Maths tutor. Show me a full worked example of finding the middle ter

Worked example: evaluating a power using binomial expansion

Act as my SS2 Further Maths tutor. Show me a full worked example of using the binomial exp

Worked example: rationalising a binomial surd denominator

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Quiz me on the laws of logarithms used to solve an equation

Act as my SS2 Further Maths tutor. Quiz me with five expressions that I must simplify usin

Worked example: finding where a line meets a circle

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Worked example: solving a quadratic trigonometric equation

Act as my SS2 Further Maths tutor. Show me a full worked example of solving a trigonometri

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

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