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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,333 prompts matching "Why a rational number added to an irrational one stays irrational"

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

Compare expanding a determinant along different rows

I am in SS 3. Give me one 3x3 matrix and ask me to evaluate its determinant twice — once e

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Show all working: evaluate a 3x3 determinant

Give me a Cambridge Additional Mathematics style 3x3 determinant question that says 'show

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WAEC past-question practice: determinants #5

I am in SS 3. Set a WAEC Further Mathematics multi-part question: (a) evaluate a 3x3 deter

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Show all working: the determinant of a three by three matrix

You are my SS3 Further Mathematics tutor. Teach me the determinant of a three by three mat

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Find the resultant of several concurrent forces #1

Give me a problem with three coplanar forces of 5N, 7N and 9N acting at different angles a

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Find the resultant of several concurrent forces #2

Give me a problem with four concurrent forces acting on a ring, each given with magnitude

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Find the resultant of several concurrent forces #3

I am in SS 3. Give me a problem with three forces of 6N, 8N and 10N meeting at a single po

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WAEC past-question practice: coplanar forces #2

I am in SS 3. Set me a WAEC-style question on resolving a force into horizontal and vertic

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Solve a three coplanar forces in equilibrium problem #2

I am in SS 3. Give me a problem involving three coplanar forces acting on a ring where two

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Teach me 3D vectors from scratch

I am in SS 3. Teach me how vectors work in three dimensions using i, j, k notation, as if

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Teach me complex numbers from scratch

I am in SS 3. Teach me what a complex number is and why i is defined as the square root of

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Explain equal complex numbers

I am in SS 3. Explain the condition for two complex numbers to be equal (real parts equal

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Show all working: the range and the greatest height of a projectile

I am in SS 3. Give me a Cambridge Additional Mathematics style the range and the greatest

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WAEC past-question practice: mechanics #4

I am in SS 3. Test me with a timed WAEC-style mechanics question, give it to me cold, then

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Common WAEC Further Mathematics mistakes to avoid

Tell me the most common mistakes SS3 students make in WAEC Further Mathematics on matrices

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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: 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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Worked example: solving simultaneous equations with matrices

I am in SS 3. Show me one fully worked example of using the inverse matrix method to solve

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Worked example: resultant of two forces

I am in SS 3. Show me one fully worked example finding the resultant of two forces at an a

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Worked example: finding the argument in the correct quadrant

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

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