1,333 prompts matching "a GP where the 2nd term is 6 and the 5th term is 162, find the first term and co"
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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: WAEC exam hall seating combinations
I am in SS 3. Set me a structured combinations word problem about choosing students for an
Structured question: solving a trig equation involving a double angle
I am in SS 3. Give me a structured trigonometric equation question involving sin(2x) or co
Structured question: binomial expansion used for a probability estimate
I am in SS 3. Give me a structured question where I use a binomial expansion to estimate a
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
WAEC exam question: forming a quadratic equation from a word problem
I am in SS 3. Give me a WAEC-style Further Maths word problem, such as one about two numbe
Explain back: quadratic inequality solution notation
I am in SS 3. Let me explain in my own words how to correctly write the solution set of a
Practice: A 2 by 2 matrix multiplied by a column vector
Act as my SS3 Further Mathematics tutor. Give me five practice questions on a 2 by 2 matri
Quiz: Multiplying a matrix by minus one
Act as my SS3 Further Mathematics tutor and quiz me on multiplying a matrix by minus one.
Practice: A diagonal matrix
Act as my SS3 Further Mathematics tutor. Give me five practice questions on a diagonal mat
Practice: Evaluating AB minus BA
Act as my SS3 Further Mathematics tutor. Give me five practice questions on evaluating AB
Quiz: Finding an unknown entry from a stated matrix equation
Act as my SS3 Further Mathematics tutor and quiz me on finding an unknown entry from a sta
Quiz: Checking a 3 by 3 inverse by multiplication
Act as my SS3 Further Mathematics tutor and quiz me on checking a 3 by 3 inverse by multip
Practice: Finding an unknown force from a closed polygon
Act as my SS3 Further Mathematics tutor. Give me five practice questions on finding an unk
Practice: Resolving three forces in two perpendicular directions
Act as my SS3 Further Mathematics tutor. Give me five practice questions on resolving thre
Practice: Using a binomial expansion to approximate a number
Act as my SS3 Further Mathematics tutor. Give me five practice questions on using a binomi
Quiz: Writing a two-dimensional vector as a column
Act as my SS3 Further Mathematics tutor and quiz me on writing a two-dimensional vector as
Practice: A vector of stated magnitude in a given direction
Act as my SS3 Further Mathematics tutor. Give me five practice questions on a vector of st
Quiz: Writing a complex number in polar form
Act as my SS3 Further Mathematics tutor and quiz me on writing a complex number in polar f
Practice: Converting a complex number from polar form back to a plus bi
Act as my SS3 Further Mathematics tutor. Give me five practice questions on converting a c