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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,224 prompts matching "Rationalising a denominator with a surd and integer"

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

Explain Back: A probability distribution table for a discrete random variable

I have just studied a probability distribution table for a discrete random variable in my

Explain Back: Finding n and p from a given mean and variance

I have just studied finding n and p from a given mean and variance in my SS3 Further Mathe

Explain Back: Testing whether data are Poisson by comparing mean and variance

I have just studied testing whether data are Poisson by comparing mean and variance in my

Practice: The components of a vector given its magnitude and direction

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

Worked Example: The powers of i, and the cycle they follow

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

Practice: Equating real and imaginary parts to find two unknowns

Act as my SS3 Further Mathematics tutor. Give me five practice questions on equating real

Practice: The sum of a complex number and its conjugate

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the sum of a c

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

Explain Back: Forming a quadratic equation with given complex roots

I have just studied forming a quadratic equation with given complex roots in my SS3 Furthe

Practice: Differentiating sin x and cos x

Act as my SS3 Further Mathematics tutor. Give me five practice questions on differentiatin

Explain Back: The constant of integration, and why it appears

I have just studied the constant of integration, and why it appears in my SS3 Further Math

Worked Example: The area between a curve and the x-axis

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

Practice: The sign convention for displacement, velocity and acceleration

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the sign conve

Worked Example: Finding the first term and the common difference from two given terms

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

Explain Back: Partial fractions with a repeated linear factor

I have just studied partial fractions with a repeated linear factor in my SS3 Further Math

Explain Back: The line of best fit, and the regression line

I have just studied the line of best fit, and the regression line in my SS3 Further Mathem

Explain pre-multiplication and post-multiplication

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

Compare expanding a determinant along different rows

I am in SS 3. Give me one 3x3 matrix and ask me to evaluate its determinant twice — once e

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

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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