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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,298 prompts matching "A word problem about a line and a parabola"

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

Vectors and simple geometry proof

I am in SS 3. Give me a short vector geometry problem, such as showing that a quadrilatera

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Modulus, argument and the Argand diagram #1

I am in SS 3. Give me a complex number problem where I must, for z = 3 + 4i, plot it on an

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Modulus, argument and the Argand diagram #2

I am in SS 3. Give me a complex number problem where I must, for z = -2 + 2i, find the mod

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Modulus, argument and the Argand diagram #3

I am in SS 3. Give me a complex number problem where I must, for z = 1 - i, express it in

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Modulus, argument and the Argand diagram #4

I am in SS 3. Give me a complex number problem where I must, for z = -3 - 4i, find the mod

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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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Find and classify stationary points #2

I am in SS 3. Give me a calculus problem where y = 2x^3 - 15x^2 + 24x, find the stationary

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Find and classify stationary points #3

I am in SS 3. Give me a calculus problem where a curve y = x^2 - 4x + 7, find the minimum

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Projectile motion problem #1

I am in SS 3. Give me a projectile motion problem where a ball is projected at 20 m/s at 3

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Projectile motion problem #2

I am in SS 3. Give me a projectile motion problem where a projectile is launched at 25 m/s

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Projectile motion problem #3

I am in SS 3. Give me a projectile motion problem where a stone is thrown at 18 m/s at 60

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Projectile motion problem #4

I am in SS 3. Give me a projectile motion problem where a ball is projected horizontally a

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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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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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Teach me resolving forces on an inclined plane

I am in SS 3. Teach me how to resolve forces along and perpendicular to an inclined plane,

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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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WAEC Further Mathematics: vectors and geometry combined question

I am in SS 3. Give me a WAEC Further Mathematics style question combining position vectors

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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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Explain Back: The laws of logarithms for a product and for a quotient

I have just studied the laws of logarithms for a product and for a quotient in my SS3 Furt

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