1,045 prompts matching "The rate at which the height of a liquid rises in a cone"
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 differentiation
Act as my SS2 Further Maths tutor. Tell me about the common mistakes SS2 students make whe
Simplify the surd expression sqrt(72) + sqrt(18)
Act as my SS2 Further Maths tutor. Show me step by step how to simplify sqrt(72) + sqrt(18
Simplify the surd expression sqrt(50) - sqrt(8)
Act as my SS2 Further Maths tutor. Show me step by step how to simplify sqrt(50) - sqrt(8)
Simplify the surd expression (3+sqrt2)(3-sqrt2)
Act as my SS2 Further Maths tutor. Show me step by step how to simplify (3+sqrt2)(3-sqrt2)
Simplify the surd expression 5/(1+sqrt3)
Act as my SS2 Further Maths tutor. Show me step by step how to simplify 5/(1+sqrt3), extra
Simplify the surd expression (2+sqrt5)^2
Act as my SS2 Further Maths tutor. Show me step by step how to simplify (2+sqrt5)^2, extra
Worked example: find the distance between the points (1,2) and (4,6)
Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome
Worked example: solve x^2+4x+13=0 giving the roots as complex numbers
Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers
Worked example: find the angle between the vectors (1,2) and (3,-1) using the dot product
Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:
Worked example: construct the truth table for (p AND q) OR (NOT p)
Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo
Worked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)
Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo
Worked example: determine whether the argument 'if p then q; p; therefore q' is valid using a truth table
Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo
Worked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q
Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo
Show that command word: quadratic factorisation
I am in SS 2. Explain what the command word 'Show that' means in a Cambridge Additional Ma
Hence solve command word: quadratic equations
I am in SS 2. Explain what 'hence solve' means in an exam question, using an example where
Word problem leading to a factorable quadratic
I am in SS 2. Set me an Additional Maths style word problem, such as one about area or con
WAEC-style multi-mark question on completing the square
I am in SS 2. Give me a WAEC Further Maths style completing the square question worth four
Structured question: quadratic formula with exact surd answer
I am in SS 2. Give me a quadratic formula question where the answer must be left as an exa
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
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