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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,322 prompts matching "Practice: Working through a quadratic by completing the square, step by step"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Simplify (8^(2/3) times 4^(-1/2)) fully

I am in SS 3. Set me a non-calculator indices question simplifying an expression like 8^(2

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

Structured question: perpendicular bisector of (2,1) and (-4,7)

I am in SS 3. Give me a structured question using the points (2,1) and (-4,7): find the mi

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

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

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

Give me an exam formula sheet for sum and product of roots

I am in SS 3. Build me a short formula sheet covering every formula I need for sum and pro

Give me an exam formula sheet for line and curve tangency conditions

I am in SS 3. Build me a short formula sheet covering every formula I need for conditions

Give me an exam formula sheet for polynomial operations

I am in SS 3. Build me a short formula sheet covering every formula I need for adding, sub

Give me an exam formula sheet for cubic equations

I am in SS 3. Build me a short formula sheet covering every formula I need for solving cub

Give me an exam formula sheet for functions

I am in SS 3. Build me a short formula sheet covering every formula I need for composite a

Give me an exam formula sheet for indices

I am in SS 3. Build me a short formula sheet covering every formula I need for the laws of

Give me an exam formula sheet for surds

I am in SS 3. Build me a short formula sheet covering every formula I need for simplifying

Give me an exam formula sheet for logarithms

I am in SS 3. Build me a short formula sheet covering every formula I need for the laws of

Give me an exam formula sheet for coordinate geometry

I am in SS 3. Build me a short formula sheet covering every formula I need for lines and c

Give me an exam formula sheet for trigonometric identities and equations

I am in SS 3. Build me a short formula sheet covering every formula I need for proving ide

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