1,045 prompts matching "Practice: The sum to infinity of a convergent geometric series"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Give me common mistakes students make in surds
Act as my SS2 Further Maths tutor. Tell me about the common mistakes SS2 students make whe
Worked example: simplify (3+2i) + (1-5i)
Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers
Worked example: simplify (2+i)(3-4i)
Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers
Worked example: simplify (4+3i)/(1-2i)
Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers
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
Structured question: solve and check a quadratic equation
Give me a structured Additional Maths question with two parts: (a) solve a quadratic equat
Hence solve command word: quadratic equations
I am in SS 2. Explain what 'hence solve' means in an exam question, using an example where
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
Discriminant classification exam question
I am in SS 2. Give me a short structured question where I must use the discriminant to sta
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
Structured question: classify a line-curve relationship
I am in SS 2. Give me three short parts, each with a different line and the same curve, as
Teach me composite functions
Teach me what a composite function fg(x) means and how to find it, using function notation
Common command word mistakes SS2 students make
Tell me the most common mistakes SS2 Further Maths students make when responding to comman
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
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
Show All Working: Forming an equation whose roots are three alpha and three beta
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on forming an equa