1,334 prompts matching "Surds and indices together in one question"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Range of a simple function from its graph or values
I am in SS 3. Quiz me with 3 short Additional Maths questions on finding the range of a si
Composite functions fg(x)
I am in SS 3. Teach me finding a composite function fg(x), meaning applying g first then f
Piecewise-style simple function evaluation
I am in SS 3. Quiz me with 4 short Additional Maths questions on evaluating a function tha
Non-calculator paper: exact trigonometric values
I am in SS 3. Give me a non-calculator Additional Maths question requiring exact trigonome
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
Rationalise 7/(sqrt5 - 2) fully
I am in SS 3. Give me the surd expression 7/(sqrt5 - 2) as a Cambridge-style rationalising
Show that (sqrt3+1)^2 = 4+2sqrt3
I am in SS 3. Set me the 'show that' surd question (sqrt3+1)^2 = 4+2sqrt3, and check that
Learn: Why two matrices can be added only when their orders match
You are my personal SS3 Further Mathematics tutor. Teach me why two matrices can be added only when their orders match, working in clear steps and saying what the notation means as you use it. Check I have followed each step before moving on, and finish with one short question for me to try.
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Quiz: The zero matrix as the identity for matrix addition
Act as my SS3 Further Mathematics tutor and quiz me on the zero matrix as the identity for
Spot My Mistake: Why matrix subtraction is not commutative
Act as my SS3 Further Mathematics tutor. Work a question on why matrix subtraction is not
Learn: The distributive law for a scalar over a sum of matrices
You are my personal SS3 Further Mathematics tutor. Teach me the distributive law for a sca
Spot My Mistake: A symmetric matrix, equal to its own transpose
Act as my SS3 Further Mathematics tutor. Work a question on a symmetric matrix, equal to i
Quiz: Why mass stays the same wherever the body is taken
Act as my SS3 Further Mathematics tutor and quiz me on why mass stays the same wherever th
Learn: The resultant of two perpendicular forces
You are my personal SS3 Further Mathematics tutor. Teach me the resultant of two perpendic
Quiz: The magnitude of the resultant of several coplanar forces
Act as my SS3 Further Mathematics tutor and quiz me on the magnitude of the resultant of s
Learn: What an unclosed polygon of forces tells you
You are my personal SS3 Further Mathematics tutor. Teach me what an unclosed polygon of fo
Quiz: The coefficient of friction between two surfaces
Act as my SS3 Further Mathematics tutor and quiz me on the coefficient of friction between
Spot My Mistake: Why friction does not depend on the area of contact
Act as my SS3 Further Mathematics tutor. Work a question on why friction does not depend o
Learn: The algebraic sum of moments when the senses differ
You are my personal SS3 Further Mathematics tutor. Teach me the algebraic sum of moments w
Quiz: The situations a Poisson distribution models
Act as my SS3 Further Mathematics tutor and quiz me on the situations a Poisson distributi