1,045 prompts matching "Expressing a rationalised answer in the form a root b over c"
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Quiz me on the factorising a cubic with the factor theorem
Act as my SS2 Further Mathematics tutor and quiz me on factorising a cubic with the factor
Give me practice factorising polynomials with the factor theorem
Act as my SS2 Further Maths tutor. Give me six practice questions where I use the factor t
Quiz me on the testing two statements for logical equivalence
Act as my SS2 Further Mathematics tutor and quiz me on testing two statements for logical
Quiz me on arranging objects round a circle when two must sit together
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Explain the binomial theorem back to me
Act as my SS2 Further Maths tutor. I'll explain the binomial expansion formula and how to
Worked example: solving an equation with logarithms to the same base
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on solvin
Teach me changing the base of a logarithm
Act as my SS2 Further Maths tutor. Teach me the change of base formula for logarithms and
Spot my mistake checking a logarithmic solution against the domain
Act as my SS2 Further Mathematics tutor. Work a question on checking a logarithmic solutio
Worked example: finding the angle between two vectors
Act as my SS2 Further Maths tutor. Show me a full worked example of finding the angle betw
Test me under exam conditions on polynomials and the remainder/factor theorems
Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on po
Test me under exam conditions on the binomial theorem
Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on th
Give me common mistakes students make in polynomials and the remainder/factor theorems
Act as my SS2 Further Maths tutor. Tell me about the common mistakes SS2 students make whe
Give me common mistakes students make in the binomial theorem
Act as my SS2 Further Maths tutor. Tell me about the common mistakes SS2 students make whe
Worked example: an AP with first term 5 and common difference 3, find the 20th term and the sum of the first 20 terms
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Worked example: a GP with first term 4 and common ratio 2, find the 8th term and the sum of the first 8 terms
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Worked example: a GP with first term 100 and common ratio 0.5, find the sum to infinity
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Worked example: an AP where the 4th term is 15 and the 9th term is 35, find the first term and common difference
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Worked example: a GP where the 2nd term is 6 and the 5th term is 162, find the first term and common ratio
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Worked example: find the gradient of y = x^3 - 4x at the point where x = 2
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Worked example: find the stationary points of y = x^3 - 3x^2 - 9x + 5 and classify each one
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation