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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,326 prompts matching "A word problem giving one linear and one quadratic equation"

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

Solve simultaneous equations with Cramer's rule (order 2) #3

Use Cramer's rule to solve x + 2y = 8 and 3x - y = 3. Set up the coefficient determinant a

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Solve simultaneous equations with Cramer's rule (order 2) #4

Use Cramer's rule to solve 5x + 2y = 16 and x - 3y = -7. Set up the coefficient determinan

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Solve a 3x3 simultaneous equation system with Cramer's rule #2

I am in SS 3. Use Cramer's rule to solve the system 2x + y - z = 5, x - y + 2z = 1, 3x + 2

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Solve a 3x3 simultaneous equation system with Cramer's rule #3

Use Cramer's rule to solve the system x - 2y + z = -1, 3x + y - z = 8, 2x - y + 3z = 5. Sh

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Define mass, force and weight with correct units

I am in SS 3. Ask me to define mass, force and weight, state the SI unit of each, and expl

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Define particle and rigid body in mechanics

Ask me to explain the difference between a particle and a rigid body in mechanics, with an

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Explain standard deviation and the normal curve

I am in SS 3. Explain how standard deviation affects the spread of a normal distribution c

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Spot my mistake in standardising a normal variable

I am in SS 3. I tried to convert a normal distribution value to a z-score but I'm not conf

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Show all working: combined binomial and normal question

I am in SS 3. Give me a Cambridge Additional Mathematics style question that has a binomia

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Show all working: moments and equilibrium question

I am in SS 3. Give me a Cambridge Additional Mathematics style mechanics question combinin

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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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Show all working: differentiation and stationary points question

I am in SS 3. Give me a Cambridge Additional Mathematics style question requiring differen

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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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Worked example: binomial distribution problem

I am in SS 3. Show me one fully worked binomial probability example step by step, then giv

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Show all working: mixed matrices and determinants exam question

I am in SS 3. Give me a Cambridge Additional Mathematics style multi-part question combini

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Show all working: vectors and forces combined question

I am in SS 3. Give me a mechanics-and-vectors style question where I must resolve a force

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Show all working: calculus and stationary points multi-part

I am in SS 3. Give me a multi-part Cambridge Additional Mathematics style question: part (

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WAEC Further Mathematics: complex numbers and Argand diagram question

I am in SS 3. Give me a WAEC Further Mathematics style question requiring me to plot a com

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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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Worked Example: Finding one over alpha plus one over beta

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

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