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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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759 prompts matching "Quiz: A rate of change problem about a vessel filling with water"

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

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

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

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

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

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

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

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Teach me quadratic trinomial factorisation

Act as my SS2 Further Maths tutor. Teach me the general method for factorising quadratic t

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Explain factorising quadratics back to me

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Worked example: factorising a harder trinomial

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Teach me solving quadratic equations by factorisation

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Give me practice solving quadratic equations

Act as my SS2 Further Maths tutor. Give me ten practice quadratic equations to solve by fa

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Explain the factorisation method back to me

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Complete the square for x^2 + 6x + 5 = 0

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Complete the square for x^2 - 4x - 1 = 0

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Complete the square for x^2 + 8x + 10 = 0

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Complete the square for 2x^2 + 4x - 3 = 0

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Complete the square for x^2 - 10x + 21 = 0

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Complete the square for x^2 + 3x - 4 = 0

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Complete the square for 3x^2 + 6x - 2 = 0

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