1,300 prompts matching "Index laws with an unknown letter base"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Non-calculator paper: exact trigonometric values
I am in SS 3. Give me a non-calculator Additional Maths question requiring exact trigonome
Structured question: find the equation of a normal to a curve
I am in SS 3. Set me a structured question where I find the gradient of a tangent by diffe
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
Structured question: identify a tautology using a truth table
I am in SS 3. Set me a structured question where I build a truth table for a compound stat
Structured question: two compound statements compared row by row
I am in SS 3. Give me a structured question where I must build truth tables for two differ
Structured question: permutation versus combination in one paper
I am in SS 3. Give me a structured two-part question where part (a) requires a permutation
Quiz me on nPr versus nCr notation
I am in SS 3. Quiz me on when to use nPr and when to use nCr, giving me short scenarios an
Spot my mistake in a combination calculation
I am in SS 3. I will show you my working for a combination problem. Check whether I used n
Structured question: probability using combinations, exam style
I am in SS 3. Give me a structured question where I must find a probability by dividing th
Express x^2 + 10x - 3 in completed-square form
I am in SS 3. Set me the expression x^2 + 10x - 3 as a Cambridge-style 'express in the for
Express x^2 - 14x + 20 in completed-square form
I am in SS 3. Set me the expression x^2 - 14x + 20 as a Cambridge-style 'express in the fo
Express x^2 + 5x + 1 in completed-square form
I am in SS 3. Set me the expression x^2 + 5x + 1 as a Cambridge-style 'express in the form
Express 2x^2 - 8x + 3 in completed-square form
I am in SS 3. Set me the expression 2x^2 - 8x + 3 as a Cambridge-style 'express in the for
Express x^2 - 9x + 4 in completed-square form
I am in SS 3. Set me the expression x^2 - 9x + 4 as a Cambridge-style 'express in the form
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
Structured question: fully factorise x^3 + 4x^2 - 11x - 30
I am in SS 3. Give me the cubic x^3 + 4x^2 - 11x - 30 as a structured factorisation questi
Rationalise 7/(sqrt5 - 2) fully
I am in SS 3. Give me the surd expression 7/(sqrt5 - 2) as a Cambridge-style rationalising
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
Structured question: circle centre (3,-2) radius 5
I am in SS 3. Give me a structured question where the circle has centre (3,-2) and radius
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