1,045 prompts matching "The logarithm of the base itself"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Test me under exam conditions on sequences and series
Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on se
Test me under exam conditions on differentiation
Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on di
Test me under exam conditions on surds
Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on su
Give me a full mixed revision test
Act as my SS2 Further Maths tutor. Give me a mixed revision test of ten short questions co
Worked example: differentiate y = 3x^4 - 2x^3 + x - 7
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Worked example: differentiate y = (2x-1)(x+3) after expanding it first
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Worked example: find AB where A = [[1,2],[3,4]] and B = [[2,0],[1,3]]
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem
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: 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
Non-calculator paper: factorise and simplify a fraction
Set me a non-calculator Additional Maths style question where I must factorise both the nu
Timed practice: five quadratic equations by factorisation
I am in SS 2. Give me five quadratic equations of increasing difficulty to solve by factor
Deduce command word: minimum value from completed square
I am in SS 2. Explain the command word 'deduce' with an example where completing the squar
Cambridge-style question: quadratic formula derivation
I am in SS 2. Ask me to derive the quadratic formula from ax^2+bx+c=0 by completing the sq
Form a quadratic from a given sum and product
Set me a structured question: given the sum and product of the roots of a quadratic equati
Structured question: new equation with roots 1/alpha and 1/beta
I am in SS 2. Set me a multi-part question where I first find the sum and product of the r
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
Quiz me on quadratic inequalities
I am in SS 2. Quiz me with five short quadratic inequality questions of increasing difficu
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