1,333 prompts matching "Why a rational number added to an irrational one stays irrational"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Solve 4x^2 - 12x + 5 = 0 with full exam working
I am in SS 3. Give me the equation 4x^2 - 12x + 5 = 0 as an Additional Maths exam question
Solve x^2 + 7x - 18 = 0 with full exam working
I am in SS 3. Give me the equation x^2 + 7x - 18 = 0 as an Additional Maths exam question
Solve 3x^2 + x - 14 = 0 with full exam working
I am in SS 3. Give me the equation 3x^2 + x - 14 = 0 as an Additional Maths exam question
Structured question: three-part algebra question mixing methods
I am in SS 3. Give me a structured question where part (a) asks me to factorise a quadrati
Solve 2^(3x-1) = 16 with full working
I am in SS 3. Give me the exponential equation 2^(3x-1) = 16 as an Additional Maths style
Solve 5^(x+2) = 125^(x-1) with full working
I am in SS 3. Give me the exponential equation 5^(x+2) = 125^(x-1) as a structured questio
Show that (sqrt3+1)^2 = 4+2sqrt3
I am in SS 3. Set me the 'show that' surd question (sqrt3+1)^2 = 4+2sqrt3, and check that
Spot my mistake: dividing a polynomial by long division
I am in SS 3. I will show you my full long division working for dividing a polynomial by a
Worked example: solve 3^(2x) - 4(3^x) + 3 = 0
I am in SS 3. Show me a full worked example solving 3^(2x) - 4(3^x) + 3 = 0 by treating it
Structured word problem: population growth as a geometric sequence
I am in SS 3. Set me a structured word problem where a town's population grows geometrical
Simulate a WAEC Further Maths Section A objective test
I am in SS 3. Give me ten short objective-style Further Maths questions covering a mix of
Check whether my exam layout would satisfy a Cambridge examiner
I am in SS 3. I will show you my working for one exam-style question covered so far. Tell
Structured question: quadratic with roots that differ by a given amount
I am in SS 3. Give me a structured question where I am told the roots of a quadratic diffe
Structured question: find k so a cubic has a repeated root
I am in SS 3. Set me a structured question where a cubic contains an unknown k, and I must
Structured question: polynomial with a given remainder pattern
I am in SS 3. Give me a structured polynomial question where a cubic leaves stated remaind
Structured question: logarithmic inequality
I am in SS 3. Set me a structured question solving a simple logarithmic inequality, and ch
Structured question: sum of a series expressed using sigma notation
I am in SS 3. Give me a structured question where a sum is written using sigma notation fo
Structured question: curve sketching using stationary points
I am in SS 3. Give me a structured question where I find the stationary points of a cubic
Structured question: logic puzzle solved with a truth table
I am in SS 3. Give me a short logic puzzle involving two or three statements about people
Structured question: combination problem with 'at least' condition
I am in SS 3. Give me a structured combinations question with an 'at least' condition, suc