1,045 prompts matching "Learn: The definition of a logarithm as the index"
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Worked example: find the angle between the vectors (1,2) and (3,-1) using the dot product
Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:
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: determine whether the argument 'if p then q; p; therefore q' is valid using a truth table
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Worked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q
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Spot the examiner's trick in a factorisation question
I am in SS 2. Give me a quadratic equation exam question that has a common trap, such as a
Structured question: complete the square then find the minimum
I am in SS 2. Give me a two-part structured question where I first complete the square for
Non-calculator completing the square with fractional coefficients
I am in SS 2. Set me a non-calculator completing the square question where the coefficient
Discriminant classification exam question
I am in SS 2. Give me a short structured question where I must use the discriminant to sta
Structured question: solve a quadratic inequality and state the range
I am in SS 2. Give me a structured Cambridge Additional Maths question asking me to solve
Structured question: classify a line-curve relationship
I am in SS 2. Give me three short parts, each with a different line and the same curve, as
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
Quiz: Completing the square on x squared plus 6x
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Practice: Working through a quadratic by completing the square, step by step
Act as my SS2 Further Mathematics tutor. Give me five practice questions on working throug
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
Spot My Mistake: Completing the square when the roots are not real
Act as my SS2 Further Mathematics tutor. Work a question on completing the square when the
Worked Example: Substituting a, b and c into the quadratic formula correctly
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Practice: Giving the roots correct to two decimal places
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Spot My Mistake: What the formula gives when the discriminant is nought
Act as my SS2 Further Mathematics tutor. Work a question on what the formula gives when th