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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,045 prompts matching "The position vector of a point dividing a line in a ratio"

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

IGCSE Additional Maths Y11: Why the constant of integration disappears — Common Mistakes

I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Show me the mistake ca

IGCSE Additional Maths Y11: The area between a curve and a straight line — Teach Me

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I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Teach me the area between a curve and a straight line the way the syllabus presents it, using its command words such as 'show that' and 'hence'. Work one example through step by step, then set me a short question in the same style.

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IGCSE Additional Maths Y11: The direction of motion changing sign — Common Mistakes

I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Show me the mistake ca

Teach me how to determine the validity of an argument

Act as my SS2 Further Maths tutor. Teach me how to determine whether a logical argument is

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

Real-life application of completing the square

Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where comple

Real-life application of the remainder theorem

Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where the re

Real-life application of the binomial theorem

Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where the bi

Teach me conditions for a line and a curve to intersect

Act as my SS2 Further Maths tutor. Teach me how to determine whether a given straight line

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

IGCSE Additional Maths Y11: Proving a quadrilateral is a parallelogram using vectors — Show All Working

I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Set me a question on p

Spot my mistake in a linear-quadratic system

Act as my SS2 Further Maths tutor. I tried substituting my linear equation into the quadra

Why simultaneous linear-quadratic systems can have two solutions

Act as my SS2 Further Maths tutor. Explain to me why solving a linear equation together wi

Worked example: is this line tangent to this curve

Act as my SS2 Further Maths tutor. Show me a full worked example of substituting a line's

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

Teach me converse and inverse propositions

Act as my SS2 Further Maths tutor. Teach me how to form the converse and the inverse of a

Worked example: finding where a line meets a circle

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

Teach me finding stationary points

Act as my SS2 Further Maths tutor. Teach me how to find the stationary points of a polynom

Worked example: finding and classifying a stationary point

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

Teach me adding and subtracting vectors

Act as my SS2 Further Maths tutor. Teach me how to add and subtract vectors given in colum

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