1,045 prompts matching "Combinations used with the addition and multiplication principles"
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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
Act as my SS2 Further Maths tutor. Show me a full worked example for this sequences and se
Worked example: a GP where the 2nd term is 6 and the 5th term is 162, find the first term and common ratio
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Worked example: find the stationary points of y = x^3 - 3x^2 - 9x + 5 and classify each one
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Worked example: find the modulus and argument of 3+4i
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Worked example: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1
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Worked example: construct the truth table for (p AND q) OR (NOT p)
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Worked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)
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Worked example: write the converse, inverse and contrapositive of 'if a number is even, then it is divisible by 2'
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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
Find the range of values command word: quadratic inequality
I am in SS 2. Set me an exam question phrased 'find the range of values of x for which...'
Non-calculator paper: subtract polynomials and state the degree
Set me a non-calculator question where I subtract one polynomial from another, simplify, a
Explain Back: The zero product rule, and why it works
I have just studied the zero product rule, and why it works in my SS2 Further Mathematics
Worked Example: Halving the coefficient of x and squaring it
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Worked Example: Substituting a, b and c into the quadratic formula correctly
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Show All Working: Choosing between factorising and the formula
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Common Mistakes: A sign error in the formula, and how to catch it
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Worked Example: The identity linking alpha squared plus beta squared to the sum and product
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Common Mistakes: A symmetric function needing the sum and product twice over
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Worked Example: Substituting into the quadratic and tidying up
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Worked Example: The discriminant used as the test for intersection
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