1,043 prompts matching "Learn: Why any non-zero number to the power nought is one"
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Create flashcard questions for Further Maths topics
Act as my SS2 Further Maths tutor. Create ten flashcard-style question-and-answer pairs co
Worked example: a GP with first term 100 and common ratio 0.5, find the sum to infinity
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Worked example: find the equation of the tangent to y = x^2 - 5x + 6 at the point where x = 1
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Worked example: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem
Worked example: find the magnitude of the vector (3,4)
Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:
Worked example: find the angle between the vectors (1,2) and (3,-1) using the dot product
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Worked example: find the unit vector in the direction of (6,8)
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Worked example: use the binomial expansion to estimate (2.01)^5 to 4 decimal places
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
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 p IMPLIES q is logically equivalent to (NOT p) OR q
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Give me a 5-minute recap of the factor theorem
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of the factor theorem, c
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
Learn: Factorising a quadratic whose coefficient of x squared is one
You are my personal SS2 Further Mathematics tutor. Teach me factorising a quadratic whose
Learn: Deriving the quadratic formula by completing the square
You are my personal SS2 Further Mathematics tutor. Teach me deriving the quadratic formula
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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Learn: The sum of the roots as minus b over a
You are my personal SS2 Further Mathematics tutor. Teach me the sum of the roots as minus
Learn: What makes an expression in the roots symmetric
You are my personal SS2 Further Mathematics tutor. Teach me what makes an expression in th
Worked Example: The identity linking alpha squared plus beta squared to the sum and product
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on the id