1,045 prompts matching "Give me a mixed revision pack blending logic and combinatorics"
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Derive the quadratic formula
Act as my SS2 Further Maths tutor. Show me, step by step, how to derive the quadratic form
Spot my mistake using the quadratic formula
Act as my SS2 Further Maths tutor. I used the quadratic formula on 2x^2-3x-5=0 but I think
Worked example: reading the solutions as points of intersection
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on readin
Spot my mistake in a linear-quadratic system
Act as my SS2 Further Maths tutor. I tried substituting my linear equation into the quadra
Spot my mistake finding a tangent condition
Act as my SS2 Further Maths tutor. I substituted my line into the curve equation to find w
Worked example: subtracting two polynomials
Act as my SS2 Further Maths tutor. Show me a full worked example of subtracting one polyno
Use the remainder theorem on x^3 - 2x^2 + 3x - 4 divided by x - 1
Act as my SS2 Further Maths tutor. Show me step by step how to use the remainder theorem t
Use the remainder theorem on 2x^3 + x^2 - 5x + 2 divided by x + 2
Act as my SS2 Further Maths tutor. Show me step by step how to use the remainder theorem t
Use the remainder theorem on x^3 + 3x^2 - x - 3 divided by x - 1
Act as my SS2 Further Maths tutor. Show me step by step how to use the remainder theorem t
Use the remainder theorem on x^3 - 6x^2 + 11x - 6 divided by x - 2
Act as my SS2 Further Maths tutor. Show me step by step how to use the remainder theorem t
Worked example: solving x^3-6x^2+11x-6=0
Act as my SS2 Further Maths tutor. Show me a complete worked example of solving the cubic
Spot my mistake solving a cubic equation
Act as my SS2 Further Maths tutor. I found one root of my cubic equation correctly but I t
Worked example: arranging letters of a word
Act as my SS2 Further Maths tutor. Show me a full worked example of finding the number of
Worked example: cyclic permutation around a table
Act as my SS2 Further Maths tutor. Show me a complete worked example of finding the number
When to use permutations versus combinations
Act as my SS2 Further Maths tutor. Teach me how to decide, when reading a word problem, wh
Spot my mistake in a permutation problem
Act as my SS2 Further Maths tutor. I solved a permutation word problem but I think I used
Spot my mistake in a combination problem
Act as my SS2 Further Maths tutor. I calculated a combination but I think I forgot to divi
Worked example: finding the middle term of a binomial expansion
Act as my SS2 Further Maths tutor. Show me a full worked example of finding the middle ter
Spot my mistake in a binomial expansion
Act as my SS2 Further Maths tutor. I expanded a binomial expression but I think I used the
Spot my mistake finding a specific term
Act as my SS2 Further Maths tutor. I tried to find the term containing x^3 in a binomial e