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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,043 prompts matching "Simplifying the denominator once the conjugate has been used"

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

Use the quadratic formula on x^2 - 2x - 2 = 0

Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 - 2x - 2 = 0 usin

Use the quadratic formula on 4x^2 - 4x - 3 = 0

Act as my SS2 Further Maths tutor. Show me step by step how to solve 4x^2 - 4x - 3 = 0 usi

Use the quadratic formula on x^2 + x - 1 = 0

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Spot my mistake using the quadratic formula

Act as my SS2 Further Maths tutor. I used the quadratic formula on 2x^2-3x-5=0 but I think

Discriminant and the nature of roots

Act as my SS2 Further Maths tutor. Teach me how to use the discriminant b^2-4ac from the q

Spot my mistake using the remainder theorem

Act as my SS2 Further Maths tutor. I used the remainder theorem to find a remainder but I

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

Worked example: simplifying an expression with fractional indices

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Teach me finding the determinant of a 2x2 matrix

Act as my SS2 Further Maths tutor. Teach me how to find the determinant of a 2x2 matrix an

Test me under exam conditions on polynomials and the remainder/factor theorems

Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on po

Test me under exam conditions on the binomial theorem

Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on th

Simplify the surd expression sqrt(72) + sqrt(18)

Act as my SS2 Further Maths tutor. Show me step by step how to simplify sqrt(72) + sqrt(18

Simplify the surd expression sqrt(50) - sqrt(8)

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Simplify the surd expression (3+sqrt2)(3-sqrt2)

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Simplify the surd expression 5/(1+sqrt3)

Act as my SS2 Further Maths tutor. Show me step by step how to simplify 5/(1+sqrt3), extra

Simplify the surd expression (2+sqrt5)^2

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

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Worked example: find the distance between the points (1,2) and (4,6)

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

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

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