1,045 prompts matching "Practice: Finding the twentieth term of a given arithmetic progression"
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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 logarithms and indices
Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on lo
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
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
Give your answer correct to command word: quadratic formula
I am in SS 2. Set me a quadratic formula question that says 'giving your answers correct t
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
Find alpha squared plus beta squared using sum and product
I am in SS 2. Give me an Additional Maths style question where I know alpha+beta and alpha
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