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Senior Secondary

Further Mathematics

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746 prompts matching "Cambridge-style question: change of base formula"

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

Practice: Collecting similar surds in an expression

Act as my SS1 Further Mathematics tutor. Give me five practice questions on collecting sim

Explain Back: Why 2 root 3 and 5 root 3 count as similar surds

I have just studied why 2 root 3 and 5 root 3 count as similar surds in my SS1 Further Mat

Spot My Mistake: Why root 8 and root 2 turn out to be similar

Act as my SS1 Further Mathematics tutor. Work a question on why root 8 and root 2 turn out

Worked Example: Adding two surds that simplify to the same root

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Quiz: Subtracting one surd from another

Act as my SS1 Further Mathematics tutor and quiz me on subtracting one surd from another.

Practice: Multiplying a whole number by a surd

Act as my SS1 Further Mathematics tutor. Give me five practice questions on multiplying a

Explain Back: Multiplying root a by root b

I have just studied multiplying root a by root b in my SS1 Further Mathematics class. Let

Spot My Mistake: Dividing one surd by another

Act as my SS1 Further Mathematics tutor. Work a question on dividing one surd by another w

WAEC Prep: Squaring a single surd

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Worked Example: Rationalising a denominator that is a single surd

Act as my SS1 Further Mathematics tutor. Take me through one full worked example on ration

Practice: Rationalising a denominator with a whole number multiplying the surd

Act as my SS1 Further Mathematics tutor. Give me five practice questions on rationalising

Explain Back: Simplifying the answer once the denominator is rational

I have just studied simplifying the answer once the denominator is rational in my SS1 Furt

Spot My Mistake: Rationalising and then cancelling a common factor

Act as my SS1 Further Mathematics tutor. Work a question on rationalising and then cancell

WAEC Prep: Rationalising a denominator inside a larger expression

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Worked Example: Why multiplying by the conjugate clears the surd

Act as my SS1 Further Mathematics tutor. Take me through one full worked example on why mu

Spot My Mistake: Simplifying the denominator once the conjugate has been used

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WAEC Prep: Expressing the answer in the form a plus b root c

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Worked Example: Squaring both sides safely when solving a surd equation

Act as my SS1 Further Mathematics tutor. Take me through one full worked example on squari

Quiz: Checking a surd equation for extraneous roots

Act as my SS1 Further Mathematics tutor and quiz me on checking a surd equation for extran

Practice: Solving an equation with a surd on each side

Act as my SS1 Further Mathematics tutor. Give me five practice questions on solving an equ

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