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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 "Logical reasoning with 'and' versus 'or' in sets"

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

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 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 determinant of [[5,2],[3,4]]

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 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: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1

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 term in x^3 in the expansion of (2x-1)^6

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

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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: use the binomial expansion to estimate (2.01)^5 to 4 decimal places

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

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Structured question: quadratic formula with exact surd answer

I am in SS 2. Give me a quadratic formula question where the answer must be left as an exa

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Show that command word: polynomial identity

I am in SS 2. Give me a 'show that' polynomial question where I must expand and simplify b

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Worked Example: Factorising a quadratic whose leading coefficient is not one

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on factor

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Explain Back: An answer left in surd form after completing the square

I have just studied an answer left in surd form after completing the square in my SS2 Furt

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Explain Back: Leaving the roots of a quadratic in surd form

I have just studied leaving the roots of a quadratic in surd form in my SS2 Further Mathem

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Explain Back: Writing the answers as ordered pairs

I have just studied writing the answers as ordered pairs in my SS2 Further Mathematics cla

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Worked Example: The discriminant used as the test for intersection

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Explain Back: The condition for the line never to meet the curve

I have just studied the condition for the line never to meet the curve in my SS2 Further M

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Worked Example: The degree of a polynomial in one variable

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Explain Back: Evaluating P of 2 for a given polynomial

I have just studied evaluating P of 2 for a given polynomial in my SS2 Further Mathematics

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Worked Example: The remainder on dividing by x minus 3

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Explain Back: Finding a coefficient so that a stated expression is a factor

I have just studied finding a coefficient so that a stated expression is a factor in my SS

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