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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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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1,327 prompts matching "The discriminant used as the test for intersection"

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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Structured question: solve a logarithmic equation with two conditions

I am in SS 3. Give me a structured question where I solve a logarithmic equation and must

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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

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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: prove a trigonometric identity

I am in SS 3. Give me a structured 'prove that' trigonometric identity question where I mu

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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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Show that command word: binomial coefficient identity

I am in SS 3. Set me a 'show that' question involving binomial coefficients, such as showi

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Give me a full Additional Maths style Paper 1 question set

I am in SS 3. Give me a short set of five short-answer Additional Maths style Paper 1 ques

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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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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: probability using combinations, exam style

I am in SS 3. Give me a structured question where I must find a probability by dividing th

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Explain back: difference between permutations and combinations

I am in SS 3. Let me explain in my own words why order matters for permutations but not fo

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Structured question: binomial expansion with a negative term

I am in SS 3. Give me a structured question expanding a binomial like (x - 2y)^n, checking

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Structured question: unknown coefficient from a factor condition

I am in SS 3. Give me a structured polynomial question where (x+1) is a known factor of a

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Simplify (8^(2/3) times 4^(-1/2)) fully

I am in SS 3. Set me a non-calculator indices question simplifying an expression like 8^(2

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Show that (sqrt3+1)^2 = 4+2sqrt3

I am in SS 3. Set me the 'show that' surd question (sqrt3+1)^2 = 4+2sqrt3, and check that

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Structured question: perpendicular bisector of (2,1) and (-4,7)

I am in SS 3. Give me a structured question using the points (2,1) and (-4,7): find the mi

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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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