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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,318 prompts matching "Rationalising and then cancelling a common factor"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Vector addition, subtraction and magnitude #4

I am in SS 3. Give me a vector problem where a = 2i + 3j - 6k, find the magnitude of a. Le

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Vector addition, subtraction and magnitude #5

I am in SS 3. Give me a vector problem where a = 4i - 3j, find a unit vector in the direct

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Explain the difference between scalar and vector product

I am in SS 3. Explain clearly the difference between the dot (scalar) product and the cros

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Explain parallel and perpendicular vectors

I am in SS 3. Explain how to test whether two vectors are parallel or perpendicular using

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Quiz me on modulus and argument of complex numbers

I am in SS 3. Quiz me with two complex numbers in different quadrants and ask me to find t

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Explain the difference between differentiation and integration

I am in SS 3. Explain in simple terms how differentiation and integration are opposite pro

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Explain the difference between speed and velocity in mechanics

I am in SS 3. Explain the difference between speed and velocity, and between distance and

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Explain time of flight and range in projectile motion

I am in SS 3. Explain how to derive the formulas for time of flight and horizontal range o

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WAEC Further Mathematics command words explained

I am in SS 3. Explain what WAEC command words like 'evaluate', 'hence', 'show that' and 'd

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Explain-back: my understanding of Cramer's rule

I am in SS 3. Let me explain how Cramer's rule works in my own words for a 2x2 system, the

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Worked example: projectile range and time of flight

I am in SS 3. Show me a fully worked projectile motion example finding both the time of fl

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Quiz me: matrices, determinants and inverses mixed

I am in SS 3. Quiz me with three short questions, one on matrix multiplication, one on a d

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Teach me the normal distribution standardisation formula

I am in SS 3. Teach me how and why we standardise a normal random variable using z = (X -

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Common Mistakes: Showing that intersection distributes over union

Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos

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Final Revision: The power set, and how many subsets a set of n elements has

Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.

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Common Mistakes: A binary operation defined by arithmetic modulo n

Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos

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Explain Back: Rationalising a denominator of the form a plus root b using the conjugate

I have just studied rationalising a denominator of the form a plus root b using the conjug

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Common Mistakes: Solving an equation in which the unknown sits under a root

Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos

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Worked Example: Simplifying an expression carrying both a negative and a fractional index

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on simpli

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Practice: Converting between index form and logarithm form

Act as my SS3 Further Mathematics tutor. Give me five practice questions on converting bet

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