Short Quiz

Question 1 of 5

Factorise \(8m^{3}-125n^{3}\).

A \((2m-5n)(4m^{2}+10mn+25n^{2})\) B \((2m-5n)(4m^{2}-10mn+25n^{2})\) C \((2m+5n)(4m^{2}-10mn+25n^{2})\) D \((8m-125n)(m^{2}+mn+n^{2})\)

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Question 2 of 5

Factorise \(27x^{3}+64y^{3}\).

A \((3x+4y)(9x^{2}-12xy+16y^{2})\) B \((3x-4y)(9x^{2}+12xy+16y^{2})\) C \((3x+4y)(9x^{2}+12xy+16y^{2})\) D \((27x+64y)(x^{2}-xy+y^{2})\)

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Question 3 of 5

Which is the correct expansion of \((2a+b)^{3}\)?

A \(8a^{3}+12a^{2}b+6ab^{2}+b^{3}\) B \(8a^{3}+6a^{2}b+12ab^{2}+b^{3}\) C \(8a^{3}+12a^{2}b+12ab^{2}+b^{3}\) D \(2a^{3}+6a^{2}b+3ab^{2}+b^{3}\)

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Question 4 of 5

If \(x+y+z=0\), which statement must be true?

A \(x^{3}+y^{3}+z^{3}=0\) B \(x^{3}+y^{3}+z^{3}=xyz\) C \(x^{3}+y^{3}+z^{3}=2xyz\) D \(x^{3}+y^{3}+z^{3}=3xyz\)

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Question 5 of 5

An algebra-tile rectangle represents \(x^{2}+9x+20\). Which side lengths can form the rectangle?

A \(x+2\) and \(x+10\) B \(x+4\) and \(x+5\) C \(x+1\) and \(x+20\) D \(x-4\) and \(x-5\)

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Class 6