1,191 prompts matching "Combining index and surd notation"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Teach me 3D vectors from scratch
I am in SS 3. Teach me how vectors work in three dimensions using i, j, k notation, as if
Reviewing all function skills before a test
I am in SS 3. Quiz me with 5 short Additional Maths questions on a structured review of ev
Structured question: solve an exponential equation using indices
I am in SS 3. Give me a structured Additional Maths question where I solve an equation lik
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
Prove that tanx + 1/tanx = 1/(sinx cosx)
I am in SS 3. Give me the 'prove that' identity tanx + 1/tanx = 1/(sinx cosx) as a structu
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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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
Learn: Deciding whether a stated matrix calculation is possible at all
You are my personal SS3 Further Mathematics tutor. Teach me deciding whether a stated matr
Learn: The effect on a determinant of swapping two rows
You are my personal SS3 Further Mathematics tutor. Teach me the effect on a determinant of
Learn: Solving two simultaneous equations by Cramer's rule
You are my personal SS3 Further Mathematics tutor. Teach me solving two simultaneous equat
Learn: The order of the steps in inverting a 3 by 3 matrix
You are my personal SS3 Further Mathematics tutor. Teach me the order of the steps in inve
Learn: Converting a weight given in kilogram-force into newtons
You are my personal SS3 Further Mathematics tutor. Teach me converting a weight given in k
Learn: The resultant of two perpendicular forces
You are my personal SS3 Further Mathematics tutor. Teach me the resultant of two perpendic
Learn: The component of a force along a stated direction
You are my personal SS3 Further Mathematics tutor. Teach me the component of a force along
Learn: Choosing the point about which to take moments
You are my personal SS3 Further Mathematics tutor. Teach me choosing the point about which
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
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