1,334 prompts matching "Give me common mistakes students make in logarithms and indices"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
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
Structured question: line through (1,4) and (5,-2)
I am in SS 3. Give me a structured coordinate geometry question using the points (1,4) and
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
Show that (1,2), (3,6), and (5,10) are collinear
I am in SS 3. Give me the 'show that' question: show that the points (1,2), (3,6), and (5,
Solve 2sin(x) + 1 = 0 for 0 to 360 degrees
I am in SS 3. Give me the trigonometric equation 2sin(x)+1=0 to solve for all values of x
Prove that (1-cos^2x)/sinx = sinx
I am in SS 3. Give me the 'prove that' identity (1-cos^2x)/sinx = sinx as a structured que
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
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 and classify the stationary points of y = x^3 - 6x^2 + 9x + 1
I am in SS 3. Give me the curve y = x^3 - 6x^2 + 9x + 1 as a structured question: find dy/
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
Worked example: find where the tangent to y = x^3 crosses the x-axis
I am in SS 3. Show me a full worked example finding the equation of the tangent to y=x^3 a
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
Diagnose my weak topics using a short quiz
I am in SS 3. Give me one short question from each major topic covered so far in Further M
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: composite function domain restriction
I am in SS 3. Give me a structured question where the composite function fg(x) is undefine
Structured question: circle and line with an unknown intercept
I am in SS 3. Give me a structured coordinate geometry question where a line with an unkno
Structured question: trig equation with a coefficient inside the angle
I am in SS 3. Give me a structured trigonometric equation question where the angle inside
Structured question: stationary point on a curve with an unknown constant
I am in SS 3. Give me a structured differentiation question where a curve contains an unkn
Structured question: cubic equation from three given roots
I am in SS 3. Set me a structured question where I am given all three roots of a cubic equ
Structured question: simplifying a surd raised to a fractional index
I am in SS 3. Give me a structured question simplifying an expression that combines a surd