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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 "Evaluating 8 to the power two-thirds"

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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

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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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Worked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q

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Real-life application of the factor theorem

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

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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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Non-calculator completing the square with fractional coefficients

I am in SS 2. Set me a non-calculator completing the square question where the coefficient

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Non-calculator paper: subtract polynomials and state the degree

Set me a non-calculator question where I subtract one polynomial from another, simplify, 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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Show All Working: Choosing between factorising and the formula

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on choosing betwee

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

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

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Practice: The value of alpha to the fourth plus beta to the fourth

Act as my SS2 Further Mathematics tutor. Give me five practice questions on the value of a

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Worked Example: Substituting into the quadratic and tidying up

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Practice: The condition for the line to be a tangent

Act as my SS2 Further Mathematics tutor. Give me five practice questions on the condition

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Explain Back: The condition for the line never to meet the curve

I have just studied the condition for the line never to meet the curve in my SS2 Further M

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