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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

912 prompts matching "Resolve a force into horizontal and vertical components #1"

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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: differentiate y = (2x-1)(x+3) after expanding it first

PPJ-FMT-00708Similar 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 line through (2,3) and (5,9)

PPJ-FMT-00709Similar prompts

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 distance between the points (1,2) and (4,6)

PPJ-FMT-00710Similar prompts

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)

PPJ-FMT-00711Similar prompts

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

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

PPJ-FMT-00713Similar prompts

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

PPJ-FMT-00717Similar prompts

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

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Worked example: find AB where A = [[1,2],[3,4]] and B = [[2,0],[1,3]]

PPJ-FMT-00719Similar prompts

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

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 A+B and A-B where A = [[1,-2],[3,0]] and B = [[4,1],[-2,5]]

PPJ-FMT-00723Similar 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 a+b where a=(2,-1) and b=(-3,5)

PPJ-FMT-00725Similar prompts

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 angle between the vectors (1,2) and (3,-1) using the dot product

PPJ-FMT-00726Similar prompts

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

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Worked example: find 2a-3b where a=(4,1) and b=(-2,3)

PPJ-FMT-00728Similar 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 a president and secretary be chosen from 8 people

PPJ-FMT-00730Similar prompts

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

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