987 prompts matching "Index laws with an unknown letter base"
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Non-calculator paper: subtract polynomials and state the degree
Set me a non-calculator question where I subtract one polynomial from another, simplify, a
Common command word mistakes SS2 students make
Tell me the most common mistakes SS2 Further Maths students make when responding to comman
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
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on halvin
Explain Back: An answer left in surd form after completing the square
I have just studied an answer left in surd form after completing the square in my SS2 Furt
Common Mistakes: Checking a completed square by expanding it again
Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on che
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
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on choosing betwee
Common Mistakes: A sign error in the formula, and how to catch it
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Practice: Forming an equation from a given sum and product
Act as my SS2 Further Mathematics tutor. Give me five practice questions on forming an equ
Common Mistakes: Roots that are reciprocals of one another
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Worked Example: The identity linking alpha squared plus beta squared to the sum and product
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Show All Working: Forming an equation whose roots are three alpha and three beta
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on forming an equa
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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Explain Back: Writing the answers as ordered pairs
I have just studied writing the answers as ordered pairs in my SS2 Further Mathematics cla
Show All Working: A simultaneous pair in which the second equation is a circle
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on a simultaneous
Common Mistakes: A word problem giving one linear and one quadratic equation
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Worked Example: The discriminant used as the test for intersection
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Practice: The condition for the line to be a tangent
Act as my SS2 Further Mathematics tutor. Give me five practice questions on the condition