1 Marks Question

Question 11 Mark

Carry out the division: $12a^8b^8$ $\div$ $(– 6a^6b^4)$

Answer

$12a^8b^8$ $\div$ $(– 6a^6b^4)$
$ = \frac{{12{a^8}{b^8}}}{{ - 6{a^6}{b^4}}}$
$= - 2a^2b^4$

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Question 21 Mark

Carry out the division: $34 x^3 y^3 z^3 \div 51 x y^2 z^3$

Answer

$34 x^3 y^3 z^3 \div 51 x y^2 z^3$
$ = \frac{{34{x^3}{y^3}{z^3}}}{{51x{y^2}{z^3}}}$
$ = \frac{2}{3}{x^2}y$

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Question 31 Mark

Carry out the division: $66 p q^2 r^3 \div 11 q r^2$

Answer

$66 p q^2 r^3 \div 11 q r^2$
$ = \frac{{66p{q^2}{r^3}}}{{11q{r^2}}}$
$= 6pqr$

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Question 41 Mark

Carry out the division:$-36y^3 \div 9y^2$

Answer

$-36y^3 \div 9y^2$
$ = \frac{{ - 36{y^3}}}{{9{y^2}}}$
$= -4y$

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Question 51 Mark

Carry out the division: $28x^4 \div 56x$

Answer

$28x^4 \div 56x$
$ = {28x^4\over 56x}$
$ = \frac{{{x^3}}}{2}$

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Question 61 Mark

Factorise the expression: $-4a^2+ 4ab – 4ca$

Answer

$– 4a^2+ 4ab – 4ca = 4a (– a + b – c)$

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Question 71 Mark

Factorise the expression: $5x^2y – 15xy^2$

Answer

$5x^2y – 15xy^2= 5xy (x – 3y)$

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Question 81 Mark

Factorise the expression: $-16z + 20z^3$

Answer

$–16z + 20z^3= 4z (– 4 + 5z^2)$

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Question 91 Mark

Factorise the expression: $7a^2+ 14a$

Answer

$7a^2+ 14a = 7a (a + 2)$

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Question 101 Mark

Factorise the expression: $6p – 12q$

Answer

$6p – 12q = 6 (p – 2q)$

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Question 111 Mark

Factorise the expression: $7x – 42$

Answer

$7x – 42 = 7(x – 6)$

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Maths 1 Marks Question

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