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Further Mathematics

AI prompts for senior secondary learners.

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Year group:All yearsSS 1SS 2SS 3
Year 11 key words:complex numbersdifferentiationlogicmatricesmaxima and minimapermutations and combinationspolynomialsprobabilityquadratic equationstrigonometric equationstrigonometric functionstrigonometric identities
+ 2 more key words
vectorswork, energy and power

1,008 prompts matching "Representing a solution set on a number line"

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

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

PPJ-FMT-00689Similar prompts

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

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

PPJ-FMT-00690Similar prompts

Act as my SS2 Further Maths tutor. Show me step by step how to simplify sqrt(50) - sqrt(8)

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

PPJ-FMT-00691Similar prompts

Act as my SS2 Further Maths tutor. Show me step by step how to simplify (3+sqrt2)(3-sqrt2)

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Simplify the surd expression 5/(1+sqrt3)

PPJ-FMT-00692Similar prompts

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

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Simplify the surd expression (2+sqrt5)^2

PPJ-FMT-00693Similar prompts

Act as my SS2 Further Maths tutor. Show me step by step how to simplify (2+sqrt5)^2, extra

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Worked example: an AP with first term 5 and common difference 3, find the 20th term and the sum of the first 20 terms

PPJ-FMT-00699Similar prompts

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

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Worked example: a GP with first term 4 and common ratio 2, find the 8th term and the sum of the first 8 terms

PPJ-FMT-00700Similar prompts

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

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Worked example: a GP with first term 100 and common ratio 0.5, find the sum to infinity

PPJ-FMT-00701Similar prompts

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

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Worked example: an AP where the 4th term is 15 and the 9th term is 35, find the first term and common difference

PPJ-FMT-00702Similar prompts

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

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Worked example: a GP where the 2nd term is 6 and the 5th term is 162, find the first term and common ratio

PPJ-FMT-00703Similar prompts

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

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

PPJ-FMT-00706Similar prompts

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

PPJ-FMT-00707Similar prompts

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 a circle with centre (2,-1) and radius 4

PPJ-FMT-00712Similar prompts

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

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Worked example: solve x^2+4x+13=0 giving the roots as complex numbers

PPJ-FMT-00718Similar prompts

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

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

PPJ-FMT-00722Similar prompts

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 unit vector in the direction of (6,8)

PPJ-FMT-00727Similar prompts

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

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Worked example: how many ways can 5 books be arranged on a shelf

PPJ-FMT-00729Similar prompts

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

PPJ-FMT-00735Similar prompts

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

PPJ-FMT-00736Similar prompts

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

PPJ-FMT-00737Similar prompts

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

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