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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,331 prompts matching "Quiz: The condition for two points of intersection"

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Quiz: Finding an unknown entry from a stated matrix equation

Act as my SS3 Further Mathematics tutor and quiz me on finding an unknown entry from a sta

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Quiz: Expanding a 3 by 3 determinant along a row or column containing noughts

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Learn: Solving two simultaneous equations by Cramer's rule

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Quiz: Checking a 3 by 3 inverse by multiplication

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Practice: A vector of stated magnitude in a given direction

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Practice: Equating real and imaginary parts to find two unknowns

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Practice: Why complex roots of a real quadratic come in conjugate pairs

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Learn: Differentiating sin of a multiple of x

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Solve a 3x3 system using the inverse matrix method #1

Show me how to solve the system x+y+z=6, 2x-y+z=3, x+2y-z=2 by writing it as AX=B, finding

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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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Resolve a force into horizontal and vertical components #1

Give me a resolution of forces problem with a force of 10N acting at 30 degrees to the hor

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Resolve a force into horizontal and vertical components #2

Give me a resolution of forces problem with a force of 25N acting at 50 degrees above the

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Resolve a force into horizontal and vertical components #3

I am in SS 3. Give me a resolution of forces problem with a force of 18N at 40 degrees to

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Resolve a force into horizontal and vertical components #4

I am in SS 3. Give me a resolution of forces problem with a force of 12N at 70 degrees to

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Spot my mistake resolving a force

I am in SS 3. I resolved a 20N force acting at 35 degrees to the horizontal into component

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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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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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Position vectors and displacement between points #3

I am in SS 3. Give me a vectors problem where I have position vectors of P and Q, find the

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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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Find and classify stationary points #1

I am in SS 3. Give me a calculus problem where y = x^3 - 3x^2 - 9x + 5, find and classify

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