1,160 prompts matching "Cambridge-style structured question: factorise 2x^2 + 9x + 4"
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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
Solve log2(x+1) + log2(x-1) = 3 with full working
I am in SS 3. Give me the logarithmic equation log2(x+1) + log2(x-1) = 3 as a structured e
Evaluate log5(200) using change of base
I am in SS 3. Set me a non-calculator style question to evaluate log5(200) using the chang
Find the centre and radius from x^2+y^2-6x+8y-11=0
I am in SS 3. Give me the circle equation x^2+y^2-6x+8y-11=0 as a structured question aski
Prove that tanx + 1/tanx = 1/(sinx cosx)
I am in SS 3. Give me the 'prove that' identity tanx + 1/tanx = 1/(sinx cosx) as a structu
AP with 3rd term 11 and 8th term 31: find a and d
I am in SS 3. Give me a structured arithmetic progression question where the 3rd term is 1
GP with 3rd term 18 and 6th term 486: find a and r
I am in SS 3. Give me a structured geometric progression question where the 3rd term is 18
Find the sum of the first 15 terms of an AP
I am in SS 3. Give me a structured question where I am given the first term and common dif
Show that a geometric series converges and find its sum to infinity
I am in SS 3. Give me a structured question where I must first show a given geometric seri
Find the tangent to y = x^2 - 4x + 7 at x = 3
I am in SS 3. Give me the curve y = x^2 - 4x + 7 as a structured question: find the gradie
Find the range of x for which y = x^3 - 3x is increasing
I am in SS 3. Give me the curve y = x^3 - 3x as a structured question asking for the range
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
Give me exam-technique advice for running out of time
I am in SS 3. Give me practical Additional Maths exam-technique advice for what to do if I
Give me a mixed revision pack blending logic and combinatorics
I am in SS 3. Give me a short mixed revision pack with one propositional logic question an
Why is matrix multiplication not commutative
Explain in simple terms why AB is not usually equal to BA for matrices, using a worked 2x2
Explain the zero matrix in matrix algebra
I am in SS 3. Explain the zero matrix and its effect in addition, using a 2x2 example to s
Evaluate a 3x3 determinant by expansion #2
Give me a 3x3 matrix like A=[[2,0,-1],[3,1,2],[-1,4,0]] and ask me to evaluate its determi
Evaluate a 3x3 determinant by expansion #3
I am in SS 3. Give me a 3x3 matrix like A=[[1,-2,3],[4,0,1],[2,1,-3]] and ask me to evalua
Solve simultaneous equations with Cramer's rule (order 2) #1
I am in SS 3. Use Cramer's rule to solve 2x + 3y = 7 and x - y = 1. Set up the coefficient
Solve a 3x3 simultaneous equation system with Cramer's rule #1
I am in SS 3. Use Cramer's rule to solve the system x + y + z = 6, 2x - y + z = 3, x + 2y