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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,044 prompts matching "Find the sum to infinity command word"

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

Worked example: a GP with first term 100 and common ratio 0.5, find the sum to infinity

Act as my SS2 Further Maths tutor. Show me a full worked example for this sequences and se

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Find k command word: line tangent to a curve

I am in SS 2. Set me an Additional Maths exam question phrased 'find the value of k for wh

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Find the range of values command word: quadratic inequality

I am in SS 2. Set me an exam question phrased 'find the range of values of x for which...'

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Worked example: sum to infinity of a geometric series

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

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Worked example: an AP with first term 5 and common difference 3, find the 20th term and the sum of the first 20 terms

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Worked example: a GP with first term 4 and common ratio 2, find the 8th term and the sum of the first 8 terms

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Show that command word: quadratic factorisation

I am in SS 2. Explain what the command word 'Show that' means in a Cambridge Additional Ma

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Quiz: Finding the sum and the product without solving the equation

Act as my SS2 Further Mathematics tutor and quiz me on finding the sum and the product wit

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Quiz me on completing the square to find a turning point

Act as my SS2 Further Maths tutor. Quiz me with four quadratic equations that I must solve

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Find the value of k for a line to be tangent to a curve

Act as my SS2 Further Maths tutor. Teach me how to find an unknown constant k in a line's

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Quiz me on the finding the remainder when a cubic is divided by a linear factor

Act as my SS2 Further Mathematics tutor and quiz me on finding the remainder when a cubic

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Teach me finding the magnitude of a vector

Act as my SS2 Further Maths tutor. Teach me how to find the magnitude of a vector using Py

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Worked example: finding the angle between two vectors

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

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Summarise polynomials and the remainder/factor theorems for quick revision

Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho

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Worked example: find the equation of the tangent to y = x^2 - 5x + 6 at the point where x = 1

Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation

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Worked example: find the magnitude of the vector (3,4)

Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:

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Worked example: find the angle between the vectors (1,2) and (3,-1) using the dot product

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Worked example: find the unit vector in the direction of (6,8)

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Worked Example: The identity linking alpha squared plus beta squared to the sum and product

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Spot My Mistake: Factorising the sum of two cubes

Act as my SS2 Further Mathematics tutor. Work a question on factorising the sum of two cub

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