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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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1,334 prompts matching "A simultaneous pair in which the second equation is a circle"

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

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

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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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Find the sum of the first 15 terms of an AP

I am in SS 3. Give me a structured question where I am given the first term and common dif

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Find and classify the stationary points of y = x^3 - 6x^2 + 9x + 1

I am in SS 3. Give me the curve y = x^3 - 6x^2 + 9x + 1 as a structured question: find dy/

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Give me a past-paper style question bank for completing the square

I am in SS 3. Give me a bank of four exam-style questions on completing the square, rangin

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Give me a past-paper style question bank for the remainder theorem

I am in SS 3. Give me a bank of four exam-style questions on the remainder theorem, rangin

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Give me a past-paper style question bank for the binomial theorem

I am in SS 3. Give me a bank of four exam-style questions on the binomial expansion, rangi

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Spot my mistake: checking each line of a trigonometric identity proof

I am in SS 3. I will show you my full proof of a trigonometric identity. Check each line f

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Worked example: solve the simultaneous system y = 2x - 1 and y = x^2 - 4

I am in SS 3. Show me a full worked example solving the linear-quadratic system y=2x-1 and

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Structured question: simplifying a surd raised to a fractional index

I am in SS 3. Give me a structured question simplifying an expression that combines a surd

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Give me a mixed revision pack blending logic and combinatorics

I am in SS 3. Give me a short mixed revision pack with one propositional logic question an

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Spot My Mistake: Squaring a 2 by 2 matrix

Act as my SS3 Further Mathematics tutor. Work a question on squaring a 2 by 2 matrix with

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Explain Back: Keeping track of the nine entries when multiplying 3 by 3 matrices

I have just studied keeping track of the nine entries when multiplying 3 by 3 matrices in

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Spot My Mistake: Multiplying a 3 by 3 matrix by a 3 by 1 column

Act as my SS3 Further Mathematics tutor. Work a question on multiplying a 3 by 3 matrix by

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Explain Back: Why the order of the letters matters in a matrix product

I have just studied why the order of the letters matters in a matrix product in my SS3 Fur

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Spot My Mistake: Orders that make a product possible one way round but not the other

Act as my SS3 Further Mathematics tutor. Work a question on orders that make a product pos

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Explain Back: The rule that the transpose of a product reverses the order

I have just studied the rule that the transpose of a product reverses the order in my SS3

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Quiz: The zero matrix, and how it differs from nought in arithmetic

Act as my SS3 Further Mathematics tutor and quiz me on the zero matrix, and how it differs

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Explain Back: The order of the answer when two matrices are multiplied

I have just studied the order of the answer when two matrices are multiplied in my SS3 Fur

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Explain Back: The determinant of a product as the product of the determinants

I have just studied the determinant of a product as the product of the determinants in my

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