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Senior Secondary

Further Mathematics

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1,334 prompts matching "Teach me converse and inverse propositions"

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

Explain back: difference between permutations and combinations

I am in SS 3. Let me explain in my own words why order matters for permutations but not fo

Structured question: use Pascal's triangle to expand a binomial

I am in SS 3. Give me a structured question where I must write out the relevant row of Pas

Show that command word: Pascal's triangle row sums to a power of 2

I am in SS 3. Set me a 'show that' question asking me to show that the sum of the entries

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

Find the remainder command word: cubic divided by a linear factor

I am in SS 3. Set me an exam question phrased 'find the remainder when f(x) is divided by

WAEC exam question: two unknowns from remainder and factor conditions

I am in SS 3. Give me a WAEC-style polynomial question where a cubic has two unknown coeff

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

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

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,

AP with 3rd term 11 and 8th term 31: find a and d

I am in SS 3. Give me a structured arithmetic progression question where the 3rd term is 1

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

Differentiate y = 4x^3 - 6x^2 + 2x - 9 and evaluate the gradient at x=1

I am in SS 3. Give me the curve y = 4x^3 - 6x^2 + 2x - 9 as a structured differentiation q

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 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 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 differentiation basics

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

Give me a past-paper style question bank for quadratic factorisation

I am in SS 3. Give me a bank of four exam-style questions on factorising quadratic trinomi

Give me a past-paper style question bank for solving quadratics by factorisation

I am in SS 3. Give me a bank of four exam-style questions on solving quadratic equations b

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