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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "Quiz: Finding the nth term of a linear sequence"

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

Teach me the laws of indices at Further Maths level

Act as my SS2 Further Maths tutor. Teach me the laws of indices at the depth needed for Fu

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Teach me the laws of logarithms

Act as my SS2 Further Maths tutor. Teach me the laws of logarithms, including the product,

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Teach me changing the base of a logarithm

Act as my SS2 Further Maths tutor. Teach me the change of base formula for logarithms and

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Teach me the equation of a straight line

Act as my SS2 Further Maths tutor. Teach me how to find the equation of a straight line gi

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Teach me the equation of a circle

Act as my SS2 Further Maths tutor. Teach me how to find the equation of a circle given its

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Teach me the dot product of two vectors

Act as my SS2 Further Maths tutor. Teach me how to calculate the dot product of two vector

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Worked example: find the gradient of y = x^3 - 4x at the point where x = 2

Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation

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Worked example: find the stationary points of y = x^3 - 3x^2 - 9x + 5 and classify each one

Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation

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Worked example: find the equation of the tangent to y = x^2 - 5x + 6 at the point where x = 1

Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation

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Worked example: find the equation of the line through (2,3) and (5,9)

Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome

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Worked example: find the midpoint of the segment joining (-3,5) and (7,-1)

Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome

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Worked example: find the equation of a circle with centre (2,-1) and radius 4

Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome

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Worked example: find the centre and radius of the circle x^2+y^2-4x+6y-3=0

Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome

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Worked example: find the modulus and argument of 3+4i

Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers

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Worked example: find the inverse of [[2,1],[5,3]]

Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem

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Worked example: find the magnitude of the vector (3,4)

Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:

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Worked example: find the unit vector in the direction of (6,8)

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Worked example: how many distinct arrangements are there of the letters in the word MISSISSIPPI

Act as my SS2 Further Maths tutor. Show me a full worked example for this permutations and

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Worked example: find the coefficient of x^4 in the expansion of (1+3x)^7

Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem

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Worked example: determine whether the argument 'if p then q; p; therefore q' is valid using a truth table

Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo

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