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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "Expanding p plus q, all to the power n, as a probability model"

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Give me memory tricks for Further Maths formulas

Act as my SS2 Further Maths tutor. Give me memory tricks or mnemonics to help me remember

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

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Worked example: find the stationary points of y = x^3 - 3x^2 - 9x + 5 and classify each one

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

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

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Worked example: solve x^2+4x+13=0 giving the roots as complex numbers

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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 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: 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: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)

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Real-life application of the factor theorem

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

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Real-life application of the condition for a line to be tangent to a curve

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Give me a 5-minute recap of the factor theorem

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of the factor theorem, c

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Spot the examiner's trick in a factorisation question

I am in SS 2. Give me a quadratic equation exam question that has a common trap, such as a

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Learn: Making the coefficient of x squared equal to one first

You are my personal SS2 Further Mathematics tutor. Teach me making the coefficient of x sq

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Worked Example: Substituting a, b and c into the quadratic formula correctly

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Common Mistakes: A sign error in the formula, and how to catch it

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Learn: The sum of the roots as minus b over a

You are my personal SS2 Further Mathematics tutor. Teach me the sum of the roots as minus

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Worked Example: The product of the roots as c over a

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