1,045 prompts matching "Setting out the coefficient determinant for two simultaneous equations"
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Worked example: simplify (3+2i) + (1-5i)
Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers
Worked example: simplify (2+i)(3-4i)
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Worked example: simplify (4+3i)/(1-2i)
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Worked example: find AB where A = [[1,2],[3,4]] and B = [[2,0],[1,3]]
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem
Worked example: find A+B and A-B where A = [[1,-2],[3,0]] and B = [[4,1],[-2,5]]
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Worked example: find a+b where a=(2,-1) and b=(-3,5)
Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:
Worked example: find 2a-3b where a=(4,1) and b=(-2,3)
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Worked example: how many ways can 5 books be arranged on a shelf
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Worked example: how many ways can a president and secretary be chosen from 8 people
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Worked example: how many ways can a committee of 4 be chosen from 10 people
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Worked example: in how many ways can 6 people be seated around a circular table
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Multi-part exam question on factorising trinomials
I am in SS 2. Give me a three-part exam-style question, (a) (b) (c), where each part asks
Mark scheme walkthrough: factorising a trinomial
I am in SS 2. Walk me through a Cambridge-style mark scheme for factorising a quadratic tr
Structured question: solve and check a quadratic equation
Give me a structured Additional Maths question with two parts: (a) solve a quadratic equat
Hence solve command word: quadratic equations
I am in SS 2. Explain what 'hence solve' means in an exam question, using an example where
Deduce command word: minimum value from completed square
I am in SS 2. Explain the command word 'deduce' with an example where completing the squar
Structured question: new equation with roots 1/alpha and 1/beta
I am in SS 2. Set me a multi-part question where I first find the sum and product of the r
WAEC exam question: symmetric functions of roots
I am in SS 2. Give me a WAEC-style Further Maths question asking for alpha^3+beta^3 or (al
Quiz me on quadratic inequalities
I am in SS 2. Quiz me with five short quadratic inequality questions of increasing difficu
Spot my mistake in a quadratic inequality solution
I am in SS 2. I will show you my working for solving a quadratic inequality. Check whether