1,320 prompts matching "Why the square root of a non-square whole number is irrational"
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Spot My Mistake: The time taken to move between two points in simple harmonic motion
Act as my SS3 Further Mathematics tutor. Work a question on the time taken to move between
Worked Example: The tension in a stretched elastic string
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the te
Practice: The difference between an elastic string and a spring in compression
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the difference
Explain Back: The elastic potential energy stored in a stretched string
I have just studied the elastic potential energy stored in a stretched string in my SS3 Fu
Spot my mistake: Assuming AB and BA give the same matrix
Act as my SS3 Further Mathematics tutor. Write a short answer on assuming AB and BA give t
Spot my mistake: Negating the leading diagonal and swapping the other two entries when inverting a 2 by 2 matrix
Act as my SS3 Further Mathematics tutor. Write a short answer on negating the leading diag
Spot my mistake: Treating the kilogram and the kilogram weight as the same unit
Act as my SS3 Further Mathematics tutor. Write a short answer on treating the kilogram and
Spot my mistake: Assuming moments may only be taken about the pivot and never about another point
Act as my SS3 Further Mathematics tutor. Write a short answer on assuming moments may only
Spot my mistake: Reporting an area computed below the x-axis as a negative distance travelled
Act as my SS3 Further Mathematics tutor. Write a short answer on reporting an area compute
Quiz me on 2x2 and 3x3 determinants together
Quiz me with two questions, one 2x2 determinant and one 3x3 determinant, mark both, and te
Explain-back: complex conjugates
I am in SS 3. Let me explain what a complex conjugate is and why we multiply by it when di
Simplifying an expression before solving an equation
I am in SS 3. Quiz me with 3 short Additional Maths questions on why it is often worth ful
Evaluating a function at an algebraic input
I am in SS 3. Quiz me with 3 short Additional Maths questions on evaluating a function at
Function notation applied to a real-world formula
I am in SS 3. I'm going to explain interpreting a real-world formula, such as cost as a fu
WAEC exam question: solving an equation involving surds
I am in SS 3. Give me a WAEC-style Further Maths question where I solve an equation contai
Structured question: use binomial expansion to approximate a value
I am in SS 3. Give me a structured question where I expand a binomial expression and then
Structured question: permutations with repeated letters
I am in SS 3. Set me a structured question asking for the number of distinct arrangements
Structured question: probability using combinations, exam style
I am in SS 3. Give me a structured question where I must find a probability by dividing th
Simplify (8^(2/3) times 4^(-1/2)) fully
I am in SS 3. Set me a non-calculator indices question simplifying an expression like 8^(2
Worked example: seat 4 boys and 3 girls alternately in a row
I am in SS 3. Show me a full worked example finding the number of ways to seat 4 boys and