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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,051 prompts matching "Roots that are reciprocals of one another"

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

Spot my mistake: Reporting an area computed below the x-axis as a negative distance travelled

Act as my SS3 Further Mathematics tutor. Write a short answer on reporting an area compute

Spot my mistake: Leaving out the constant of integration when velocity is found from acceleration

Act as my SS3 Further Mathematics tutor. Write a short answer on leaving out the constant

Spot my mistake: Using an equation of constant acceleration on a body whose acceleration is changing

Act as my SS3 Further Mathematics tutor. Write a short answer on using an equation of cons

Spot my mistake: Treating the action and the reaction of Newton's third law as forces acting on the same body

Act as my SS3 Further Mathematics tutor. Write a short answer on treating the action and t

Simplifying algebraic fractions that need factorising a quadratic first

I am in SS 3. Quiz me with 4 short Additional Maths questions on simplifying an algebraic

Finding the inverse of a simple linear function

I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on find

Domain and range of an inverse function

I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi

Finding f(x) given a description of the function rule

I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi

Structured question: solve an exponential equation using indices

I am in SS 3. Give me a structured Additional Maths question where I solve an equation lik

Structured question: equation of a line through two points

I am in SS 3. Give me a structured question where I find the equation of a straight line t

Structured question: perpendicular bisector of a line segment

I am in SS 3. Give me a multi-part question where I find the midpoint of a segment, the gr

Structured question: equation of a circle from centre and a point

I am in SS 3. Set me a structured question where I am given the centre of a circle and a p

Structured question: intersection of a line and a circle

I am in SS 3. Give me a structured question where I substitute a line's equation into a ci

Show that command word: line is tangent to a circle

I am in SS 3. Set me a 'show that the line is a tangent to the circle' coordinate geometry

Show that command word: trigonometric identity

I am in SS 3. Set me a 'show that' trigonometric identity question, and check that I clear

Structured question: find the equation of a normal to a curve

I am in SS 3. Set me a structured question where I find the gradient of a tangent by diffe

Find the range of values command word: increasing function

I am in SS 3. Set me an exam question phrased 'find the range of values of x for which the

Structured question: permutation versus combination in one paper

I am in SS 3. Give me a structured two-part question where part (a) requires a permutation

Find the number of ways command word: combinations

I am in SS 3. Set me an exam question phrased 'find the number of ways', involving choosin

Show that command word: a function is its own inverse

I am in SS 3. Set me a 'show that' function question where I must show a given function is

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