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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,045 prompts matching "A binary operation defined on the integers"

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

Teach me the universal and existential quantifiers

Act as my SS2 Further Maths tutor. Teach me the difference between the universal quantifie

Teach me the distance and midpoint formulas

Act as my SS2 Further Maths tutor. Teach me how to find the distance between two points an

Teach me finding the determinant of a 2x2 matrix

Act as my SS2 Further Maths tutor. Teach me how to find the determinant of a 2x2 matrix an

Teach me the dot product of two vectors

Act as my SS2 Further Maths tutor. Teach me how to calculate the dot product of two vector

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

Worked example: find the distance between the points (1,2) and (4,6)

Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome

Worked example: find the midpoint of the segment joining (-3,5) and (7,-1)

Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome

Worked example: find the centre and radius of the circle x^2+y^2-4x+6y-3=0

Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome

Worked example: find the modulus and argument of 3+4i

Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers

Worked example: solve x^2+4x+13=0 giving the roots as complex numbers

Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers

Worked example: find the determinant of [[5,2],[3,4]]

Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem

Worked example: find the inverse of [[2,1],[5,3]]

Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem

Worked example: find the magnitude of the vector (3,4)

Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:

Worked example: find the angle between the vectors (1,2) and (3,-1) using the dot product

Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:

Worked example: expand (x+2)^5 fully using the binomial theorem

Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem

Show all your working command word: simultaneous equations

I am in SS 2. Set me a linear-quadratic simultaneous equations question that instructs 'sh

Structured question: classify a line-curve relationship

I am in SS 2. Give me three short parts, each with a different line and the same curve, as

Structured question: add and simplify two polynomials

I am in SS 2. Set me a structured Additional Maths question where I must add two given pol

Teach me how to simplify surds

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

Teach me adding and subtracting complex numbers

Act as my SS2 Further Maths tutor. Teach me how to add and subtract complex numbers by com

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