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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,045 prompts matching "The product of a 2 by 2 matrix with the identity"

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

Give me practice on permutations and combinations

Act as my SS2 Further Maths tutor. Give me ten mixed practice questions on permutations an

When to use permutations versus combinations

Act as my SS2 Further Maths tutor. Teach me how to decide, when reading a word problem, wh

Spot my mistake in a permutation problem

Act as my SS2 Further Maths tutor. I solved a permutation word problem but I think I used

Spot my mistake in a combinatorial probability problem

Act as my SS2 Further Maths tutor. I calculated a probability using combinations but I thi

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

Act as my SS2 Further Maths tutor. Show me a full worked example of expanding (x+y)^4 usin

Quiz me on finding specific terms in expansions

Act as my SS2 Further Maths tutor. Quiz me with three binomial expansions and ask me to fi

Spot my mistake finding a specific term

Act as my SS2 Further Maths tutor. I tried to find the term containing x^3 in a binomial e

Quiz me on simplifying surds

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

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

Spot my mistake finding a line's equation

Act as my SS2 Further Maths tutor. I found the equation of a straight line through two poi

Explain coordinate geometry back to me

Act as my SS2 Further Maths tutor. I'll explain in my own words how to find the equation o

Teach me solving trigonometric equations

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

Worked example: solving a quadratic trigonometric equation

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

Quiz me on trigonometric identities

Act as my SS2 Further Maths tutor. Quiz me with four trigonometric identities that I must

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

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 practice on sequences and series

Act as my SS2 Further Maths tutor. Give me eight practice questions on arithmetic and geom

Spot my mistake in a geometric progression

Act as my SS2 Further Maths tutor. I calculated the sum of the first eight terms of a geom

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