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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "Explain completing the square back to me"

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

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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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 how to present working for full WAEC marks

I am in SS 3. Explain how to lay out my working clearly enough to earn full method marks i

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Explain-back: what a matrix inverse actually does

I am in SS 3. Let me explain in my own words what finding a matrix inverse allows you to d

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Explain-back: resultant versus resolution of forces

I am in SS 3. Let me explain the difference between finding a resultant force and resolvin

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Explain-back: equilibrium of a rigid body

I am in SS 3. Let me explain what conditions must hold for a rigid body to be in equilibri

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Worked example: finding the matrix of cofactors and the adjugate

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

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Worked example: finding the argument in the correct quadrant

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Learn: Simplifying a surd by extracting the largest perfect square

You are my personal SS3 Further Mathematics tutor. Teach me simplifying a surd by extracti

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Worked Example: The discriminant, and what each of its three cases means

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Learn: Finding alpha squared plus beta squared from the sum and product

You are my personal SS3 Further Mathematics tutor. Teach me finding alpha squared plus bet

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Worked Example: The sum of the products of the roots of a cubic taken two at a time

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Worked Example: The number of arrangements of n different objects in a row

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Learn: The Pythagorean identity, sin squared plus cos squared equals one

You are my personal SS3 Further Mathematics tutor. Teach me the Pythagorean identity, sin

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Learn: The parabola y squared equals 4ax, with its focus and directrix

You are my personal SS3 Further Mathematics tutor. Teach me the parabola y squared equals

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Worked Example: The parametric form of a point on a parabola

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Worked Example: The sign convention for clockwise and anticlockwise moments

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Worked Example: Relative velocity when two bodies move along the same line

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Spot my mistake: Assuming AB and BA give the same matrix

Act as my SS3 Further Mathematics tutor. Write a short answer on assuming AB and BA give t

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