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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 "Practice: The sign convention for displacement, velocity and acceleration"

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: find the midpoint of the segment joining (-3,5) and (7,-1)

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Worked example: find the equation of a circle with centre (2,-1) and radius 4

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Worked example: find the centre and radius of the circle x^2+y^2-4x+6y-3=0

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Worked example: find the modulus and argument of 3+4i

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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 angle between the vectors (1,2) and (3,-1) using the dot product

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

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Worked example: write the converse, inverse and contrapositive of 'if a number is even, then it is divisible by 2'

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Real-life application of the quadratic formula

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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 quadratic formula

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Give your answer correct to command word: quadratic formula

I am in SS 2. Set me a quadratic formula question that says 'giving your answers correct t

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Form a quadratic from a given sum and product

Set me a structured question: given the sum and product of the roots of a quadratic equati

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Structured question: solve a quadratic inequality and state the range

I am in SS 2. Give me a structured Cambridge Additional Maths question asking me to solve

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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: Halving the coefficient of x and squaring it

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Learn: Deriving the quadratic formula by completing the square

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Quiz: A negative value of b in the quadratic formula

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Spot My Mistake: What the formula gives when the discriminant is nought

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