1,045 prompts matching "Quiz: Rationalising a denominator of the form one over root 3"
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Worked example: find A+B and A-B where A = [[1,-2],[3,0]] and B = [[4,1],[-2,5]]
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem
Worked example: find a+b where a=(2,-1) and b=(-3,5)
Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:
Worked example: find 2a-3b where a=(4,1) and b=(-2,3)
Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:
Worked example: how many ways can 5 books be arranged on a shelf
Act as my SS2 Further Maths tutor. Show me a full worked example for this permutations and
Worked example: how many ways can a president and secretary be chosen from 8 people
Act as my SS2 Further Maths tutor. Show me a full worked example for this permutations and
Worked example: in how many ways can 6 people be seated around a circular table
Act as my SS2 Further Maths tutor. Show me a full worked example for this permutations and
Worked example: expand (1-x)^4 fully and use it to estimate (0.98)^4
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Multi-part exam question on factorising trinomials
I am in SS 2. Give me a three-part exam-style question, (a) (b) (c), where each part asks
Structured question: solve and check a quadratic equation
Give me a structured Additional Maths question with two parts: (a) solve a quadratic equat
Teach me solving quadratic inequalities
Teach me how to solve a quadratic inequality like x^2-5x+6>0 using a sketch of the curve a
Cambridge-style structured question: line meets a curve
I am in SS 2. Give me a Cambridge Additional Maths structured question where I substitute
Find k command word: line tangent to a curve
I am in SS 2. Set me an Additional Maths exam question phrased 'find the value of k for wh
Prove command word: line does not intersect a curve
I am in SS 2. Give me a 'prove that' style question where I must show a given line never m
Show that command word: polynomial identity
I am in SS 2. Give me a 'show that' polynomial question where I must expand and simplify b
Spot My Mistake: Solving a quadratic that must be rearranged before factorising
Act as my SS2 Further Mathematics tutor. Work a question on solving a quadratic that must
Show All Working: A quadratic whose two roots are both negative
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on a quadratic who
Common Mistakes: Checking a completed square by expanding it again
Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on che
Show All Working: Roots equal in magnitude but opposite in sign
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on roots equal in
Spot My Mistake: A polynomial written in descending powers
Act as my SS2 Further Mathematics tutor. Work a question on a polynomial written in descen
Show All Working: Adding and subtracting two polynomials
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on adding and subt