1,150 prompts matching "Cambridge-style structured question: factorise x^2 + 3x - 28"
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Factorising an expression with a common algebraic bracket factor
I am in SS 3. Teach me factorising an expression where the common factor is itself a brack
Evaluating a function at a negative value
I am in SS 3. Teach me evaluating a function at a negative input value, such as finding f(
Evaluating a function at an algebraic input
I am in SS 3. Quiz me with 3 short Additional Maths questions on evaluating a function at
Range of a simple function from its graph or values
I am in SS 3. Quiz me with 3 short Additional Maths questions on finding the range of a si
Showing that fg(x) is not the same as gf(x)
I am in SS 3. Quiz me with 5 short Additional Maths questions on demonstrating with a spec
Self-inverse functions
I am in SS 3. Quiz me with 3 short Additional Maths questions on what it means for a funct
Solving f(x) = a given value
I am in SS 3. Quiz me with 4 short Additional Maths questions on solving an equation of th
Comparing two functions to see which grows faster
I am in SS 3. Quiz me with 5 short Additional Maths questions on comparing the outputs of
Show that command word: surd simplification
I am in SS 3. Set me a 'show that' surd question where I must show a given expression simp
Show that command word: logarithm laws
I am in SS 3. Set me a 'show that' logarithm question where I must use the laws of logarit
Show that command word: trigonometric identity
I am in SS 3. Set me a 'show that' trigonometric identity question, and check that I clear
Timed 20-minute Further Maths exam practice
I am in SS 3. Give me a timed 20-minute set of exam-style Further Maths questions covering
Solve x^2 - 6x - 16 = 0 with full exam working
I am in SS 3. Give me the equation x^2 - 6x - 16 = 0 as an Additional Maths exam question
Solve 2x^2 - 5x - 12 = 0 with full exam working
I am in SS 3. Give me the equation 2x^2 - 5x - 12 = 0 as an Additional Maths exam question
Solve x^2 - 2x - 35 = 0 with full exam working
I am in SS 3. Give me the equation x^2 - 2x - 35 = 0 as an Additional Maths exam question
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 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