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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
Three prompts in each subject are free to try. One subscription opens every subject and every prompt in senior secondary, or subscribe your whole school. Already have a code? Enter it here.
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755 prompts matching "Give me a past-paper style question bank for completing the square"

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

Multiplying a surd by an integer

I am in SS 1. Teach me multiplying a surd by a whole number, such as 4 times root 5, and s

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Expanding brackets containing surds

I am in SS 1. Quiz me with 4 short Additional Maths questions on expanding a bracket conta

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Squaring a surd expression

I am in SS 1. Teach me squaring a binomial surd expression, such as (2 + root 5)^2, showin

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Rationalising a denominator with a single surd

I am in SS 1. Quiz me with 4 short Additional Maths questions on rationalising a denominat

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Rationalising a denominator with a surd and integer

I am in SS 1. I'm going to explain rationalising a denominator such as 6 divided by (2 roo

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Rationalising a more complex conjugate denominator

I am in SS 1. I attempted an Additional Maths question on rationalising a fraction with a

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Solving a simple surd equation

I am in SS 1. Teach me solving a surd equation, such as solving root(x + 4) = 3, and check

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Surds arising from Pythagoras' theorem

I am in SS 1. Quiz me with 4 short Additional Maths questions on a Pythagoras' theorem que

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Estimating the value of a surd

I am in SS 1. I'm going to explain estimating the approximate value of a surd such as root

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Multiplying three surds together

I am in SS 1. Quiz me with 4 short Additional Maths questions on multiplying three surds t

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Dividing surds using the quotient rule

I am in SS 1. I'm going to explain simplifying a quotient of surds using the rule root a d

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Simplifying nested surds

I am in SS 1. I'm going to explain simplifying an expression containing a surd within a su

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Rationalising a denominator with three surd terms

I am in SS 1. I'm going to explain rationalising a more unusual denominator involving more

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Reading and writing set notation

I am in SS 1. Teach me reading and writing basic set notation, such as element-of, subset-

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Set-builder notation basics

I am in SS 1. I'm going to explain reading and writing sets using set-builder notation, su

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Survey word problem using a two-set Venn diagram

I am in SS 1. Teach me a classic survey word problem, such as a group of students where so

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Equal sets versus equivalent sets

I am in SS 1. I attempted an Additional Maths question on the difference between two sets

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Universal set and its role in set problems

I am in SS 1. Teach me what a universal set is and how it affects the answer to complement

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Sets applied to a school subject survey

Teach me a realistic Nigerian secondary school context question, such as a survey of SS1 s

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Logical reasoning puzzle solved using sets

I am in SS 1. I'm going to explain a short logical reasoning puzzle about groups of people

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