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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "Test me under exam conditions on logarithms and indices"

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

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

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the addition o

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Quiz: The roots of a complex number shown on an Argand diagram

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

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Worked Example: The quotient rule for differentiation

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Worked Example: Classifying a stationary point by the sign of the gradient either side

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Practice: The conservation of momentum in a collision

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Quiz: Newton's third law, and identifying the pair of forces

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Spot My Mistake: The sum of the first n terms of an arithmetic progression

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Practice: The sum to infinity of a convergent geometric series

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Quiz: The remainder theorem, and the remainder on dividing by x minus a

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Explain pre-multiplication and post-multiplication

I keep mixing up pre-multiplying and post-multiplying matrices. Use two 2x2 matrices A and

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

I am in SS 3. Use Cramer's rule to solve 3x - y = 5 and 2x + 4y = 6. Set up the coefficien

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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 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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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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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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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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Quiz me on the symmetry of the normal distribution curve

I am in SS 3. Quiz me with three true-or-false statements about the normal distribution cu

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