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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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Three prompts in each subject are free to try. One subscription opens every subject and every prompt in senior secondary, or subscribe your whole school. Already have a code? Enter it here.
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1,334 prompts matching "Sum and product of roots of a cubic exam question"

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

Show that command word: surd simplification

I am in SS 3. Set me a 'show that' surd question where I must show a given expression simp

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Show that command word: three points are collinear

I am in SS 3. Set me a 'show that' coordinate geometry question where I must show three gi

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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

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Structured question: solve a trig equation for all solutions in range

I am in SS 3. Give me a structured question asking me to solve a trigonometric equation an

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Structured question: geometric progression with two given terms

I am in SS 3. Give me a structured geometric progression question where two non-consecutiv

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Give me a full Additional Maths style Paper 2 structured question

I am in SS 3. Give me one long structured Additional Maths style Paper 2 question with sev

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Show that command word: biconditional equivalence

I am in SS 3. Give me a 'show that' question requiring me to prove two propositions are lo

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Structured question: identify a tautology using a truth table

I am in SS 3. Set me a structured question where I build a truth table for a compound stat

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Structured question: two compound statements compared row by row

I am in SS 3. Give me a structured question where I must build truth tables for two differ

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Explain back: converse and contrapositive

I am in SS 3. Let me explain in my own words the difference between the converse, the inve

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Structured question: arrangements with a restriction

I am in SS 3. Give me a structured permutations question where letters or people must be a

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Structured question: choosing a committee with a condition

I am in SS 3. Set me a structured combinations question where a committee must be chosen f

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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

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Structured question: three-part algebra question mixing methods

I am in SS 3. Give me a structured question where part (a) asks me to factorise a quadrati

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Choose your own method command word: solving a quadratic

I am in SS 3. Give me a quadratic equation and ask me to solve it by whichever method I th

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Structured question: circle centre (3,-2) radius 5

I am in SS 3. Give me a structured question where the circle has centre (3,-2) and radius

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Find the centre and radius from x^2+y^2-6x+8y-11=0

I am in SS 3. Give me the circle equation x^2+y^2-6x+8y-11=0 as a structured question aski

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Show that (1,2), (3,6), and (5,10) are collinear

I am in SS 3. Give me the 'show that' question: show that the points (1,2), (3,6), and (5,

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AP with 3rd term 11 and 8th term 31: find a and d

I am in SS 3. Give me a structured arithmetic progression question where the 3rd term is 1

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GP with 3rd term 18 and 6th term 486: find a and r

I am in SS 3. Give me a structured geometric progression question where the 3rd term is 18

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