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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,301 prompts matching "Verifying an index law with numbers"

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

WAEC Prep: The angle the resultant makes with the larger of two forces

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the angle the resu

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WAEC Prep: The triangle of forces used together with the cosine rule

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the triangle of fo

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Practice: Using a binomial expansion to approximate a number

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WAEC Prep: Comparing the mean with the variance of a binomial distribution

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Spot My Mistake: The proportion of a normal distribution within one, two and three standard deviations

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WAEC Prep: The standard normal distribution, with mean nought and variance one

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Quiz: The direction of a vector as an angle with the x-axis

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Worked Example: The triangle law of vector addition

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Practice: The sum of a complex number and its conjugate

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Practice: The argument of a complex number in the second or third quadrant

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Practice: The addition of complex numbers shown on an Argand diagram

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Explain Back: The locus of a complex number at a fixed distance from a point

I have just studied the locus of a complex number at a fixed distance from a point in my S

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Quiz: A rate of change problem about a vessel filling with water

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Spot My Mistake: Partial fractions with an irreducible quadratic factor

Act as my SS3 Further Mathematics tutor. Work a question on partial fractions with an irre

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Solve simultaneous equations with Cramer's rule (order 2) #1

I am in SS 3. Use Cramer's rule to solve 2x + 3y = 7 and x - y = 1. Set up the coefficient

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Solve a 3x3 simultaneous equation system with Cramer's rule #1

I am in SS 3. Use Cramer's rule to solve the system x + y + z = 6, 2x - y + z = 3, x + 2y

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Explain why a matrix with zero determinant has no inverse

I am in SS 3. Explain why a matrix cannot be inverted when its determinant is zero, and gi

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Show all working: complex numbers and quadratics combined

I am in SS 3. Give me a Cambridge Additional Mathematics style question that starts with a

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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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Worked Example: Simplifying an expression carrying both a negative and a fractional index

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