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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,008 prompts matching "Structured question: find fg(x) and gf(x)"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Quiz me on the binomial expansion of a bracket raised to the power four

Act as my SS2 Further Maths tutor. Quiz me with four binomial expressions and ask me to ex

Explain the binomial theorem back to me

Act as my SS2 Further Maths tutor. I'll explain the binomial expansion formula and how to

Teach me the laws of indices at Further Maths level

Act as my SS2 Further Maths tutor. Teach me the laws of indices at the depth needed for Fu

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

Teach me how to simplify surds

Act as my SS2 Further Maths tutor. Teach me how to simplify surds, including how to add, s

Worked example: rationalising a binomial surd denominator

Act as my SS2 Further Maths tutor. Show me a complete worked example of rationalising the

Quiz me on simplifying surds

Act as my SS2 Further Maths tutor. Quiz me with five surd expressions to simplify, and che

Spot my mistake simplifying a surd

Act as my SS2 Further Maths tutor. I tried to simplify sqrt(50) but I'm not confident in m

Explain surds back to me

Act as my SS2 Further Maths tutor. I'll explain in my own words how to simplify and ration

Teach me the laws of logarithms

Act as my SS2 Further Maths tutor. Teach me the laws of logarithms, including the product,

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

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

Give me practice solving logarithmic equations

Act as my SS2 Further Maths tutor. Give me six practice logarithmic equations to solve, at

Explain logarithm laws back to me

Act as my SS2 Further Maths tutor. I'll explain the laws of logarithms in my own words, an

Teach me the basic trigonometric identities

Act as my SS2 Further Maths tutor. Teach me the basic trigonometric identities, including

Teach me solving trigonometric equations

Act as my SS2 Further Maths tutor. Teach me how to solve a trigonometric equation such as

Give me practice solving trigonometric equations

Act as my SS2 Further Maths tutor. Give me six practice trigonometric equations to solve w

Explain trigonometric identities back to me

Act as my SS2 Further Maths tutor. I'll explain the Pythagorean trigonometric identity and

Teach me arithmetic progressions

Act as my SS2 Further Maths tutor. Teach me the formulas for the nth term and the sum of t

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