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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,025 prompts matching "How many terms of an arithmetic progression lie between two values"

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: solving simultaneous equations using matrices

Act as my SS2 Further Maths tutor. Show me a full worked example of solving a pair of simu

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Teach me adding and subtracting vectors

Act as my SS2 Further Maths tutor. Teach me how to add and subtract vectors given in colum

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Teach me the dot product of two vectors

Act as my SS2 Further Maths tutor. Teach me how to calculate the dot product of two vector

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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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Teach me mean, variance and standard deviation

Act as my SS2 Further Maths tutor. Teach me how to calculate the mean, variance and standa

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Teach me measures of dispersion for grouped data

Act as my SS2 Further Maths tutor. Teach me how to estimate the mean and standard deviatio

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Worked example: find the gradient of y = x^3 - 4x at the point where x = 2

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

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Worked example: differentiate y = (2x-1)(x+3) after expanding it first

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

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Worked example: find AB where A = [[1,2],[3,4]] and B = [[2,0],[1,3]]

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

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Worked example: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1

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

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Worked example: find A+B and A-B where A = [[1,-2],[3,0]] and B = [[4,1],[-2,5]]

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

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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 unit vector in the direction of (6,8)

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Worked example: expand (x+2)^5 fully using the binomial theorem

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

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Worked example: use the binomial expansion to estimate (2.01)^5 to 4 decimal places

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

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Worked example: expand (1-x)^4 fully and use it to estimate (0.98)^4

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

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Worked example: determine whether the argument 'if p then q; p; therefore q' is valid using a truth table

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

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Real-life application of measures of dispersion

Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where measur

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Non-calculator paper: factorise and simplify a fraction

Set me a non-calculator Additional Maths style question where I must factorise both the nu

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WAEC exam question: symmetric functions of roots

I am in SS 2. Give me a WAEC-style Further Maths question asking for alpha^3+beta^3 or (al

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