Question 11 Mark
Simplify : $\frac{-15 m^5 n^2}{-3 m^5}$
Answer$\frac{-15 m^5 n^2}{-3 m^5}$
$=\frac{-3 \times 5 \times m^5 \times n^2}{-3 \times m^5}$
$=5 n^2$
View full question & answer→Question 21 Mark
Divide : $\frac{28 a^2 b^3}{c^2}$ by $4 a b c$
Answer$\frac{28 a ^2 b ^3}{ c ^2} \div 4 abc$
$=\frac{4 \times 7 \times a ^{2-1} \times b ^{3-1}}{4 \times c ^{2+1}}$
$=\frac{7 a b ^2}{ c ^3}$
View full question & answer→Question 31 Mark
Divide $: 36a^4x^5y^6$ by $4x^2a^3y^2$
Answer$36 a^4 x^5 y^6 \div 4 x^2 a^3 y^2$
$=\frac{4 \times 9 a^{4-3} \times x^{5-2} \times y^{6-2}}{4}$
$=9 a x^3 y^4$
View full question & answer→Question 41 Mark
Divide $: − 21m^5n^7$ by $14m^2n^2$
Answer$-21 m^5 n^7 \div 14 m^2 n^2$
$=\frac{-3 \times 7 \times m^{5-2} n^{7-2}}{14}$
$=-\frac{3}{2} m^3 n^5$
View full question & answer→Question 51 Mark
Divide:
$
-\frac{3 m}{4} \text { by } 2 m
$
Answer$
-\frac{3 m }{4} \div 2 m =\frac{-3 \times m }{4 \times 2 \times m }=-\frac{3}{8}
$
View full question & answer→Question 61 Mark
Simplify $: 35xy^5 \div 7x^2y^4$
Answer$35 x y^5 \div 7 x^2 y^4$
$=\frac{5 \times 7 \times y^{5-4}}{7 \times x^{2-1}}$
$=\frac{5 y}{x}$
View full question & answer→Question 71 Mark
Simplify $: − 5x^2y \div xy^2$
Answer$-5 x^2 y \div x y^2$
$=\frac{-5 x^{2-1}}{y^{2-1}}$
$=-\frac{5 x}{y}$
View full question & answer→Question 81 Mark
Simplify $: − 24a^2b^2c^2 \div 6ab$
Answer$-24 a^2 b^2 c^2 \div 6 a b$
$=\frac{-4 \times 6 \times a^{2-1} b^{2-1} c^2}{6}$
$=-4 a b c^2$
View full question & answer→Question 91 Mark
Answer$
20 x y \div-5 x y=\frac{4 \times 5 \times x \times y}{-5 \times x \times y}=-4
$
View full question & answer→Question 101 Mark
Simplify $: 6a^8 \div 3a^3$
Answer$6 a ^8 \div 3 a ^3=\frac{2 \times 3 \times a ^{8-3}}{3}=2 a ^5$
View full question & answer→Question 111 Mark
Simplify $: 2x^5 \div x^2$
Answer$2 x^5 \div x^2=\frac{2 x^5}{x^2}$
$=2 x^{5-2}$
$=2 x^3$
View full question & answer→Question 121 Mark
Answer$
100 \div 50 b=\frac{2 \times 50}{50 \times b}=\frac{2}{b}
$
View full question & answer→Question 131 Mark
Divide $: 18pqr^2$ by $3pq$
Answer$18 pqr ^2 \div 3 pq =\frac{3 \times 6 \times p \times q \times r ^2}{3 \times p \times q }=6 r ^2$
View full question & answer→Question 141 Mark
Divide $:14a^3b^3$ by $2a^2$
Answer$14 a ^3 b ^3 \div 2 a ^2=\frac{2 \times 7 a ^{3-2} b ^3}{2}=7 ab ^3$
View full question & answer→Question 151 Mark
Divide $:30p^2$ by $10p^2$
Answer$30 P ^2 \div 10 p ^2=\frac{3 \times 10 p ^2}{10 p ^2}=3$
View full question & answer→Question 161 Mark
Divide $:20x^2$ by $5x$
Answer$20 x ^2 \div 5 x =\frac{4 \times 5 \times x ^{2-1}}{5}=4 x$
View full question & answer→Question 171 Mark
Answer$
16 m \div 4=\frac{4 \times 4 \times m }{4}=4 m
$
View full question & answer→Question 181 Mark
Answer$
15 x \div 3 x=\frac{3 \times 5 \times x}{3 \times x}=5
$
View full question & answer→Question 191 Mark
Answer$
3 a \div a =\frac{3 \times a }{ a }=3
$
View full question & answer→Question 201 Mark
Multiply $: 4abc − 5a^2bc − 6ab^2c$ and $− 2abc^2$
Answer$4abc − 5a^2bc − 6ab^2c \times − 2abc^2$
$= − 8a^2b^2c^3+ 10a^3b^2c^3 + 12a^2b^3c^3$
View full question & answer→Question 211 Mark
Multiply $: xyz$ and $− 13xy^2z + 15x^2yz − 6xyz^2$
Answer$− 13xy^2z + 15x^2yz − 6xyz^2 \times xyz$
$= − 13x^2y^3z^2 + 15x^3y^2z^2 − 6x^2y^2z^3$
View full question & answer→Question 221 Mark
Multiply $: − 8xyz + 10x^2yz^3$ and $xyz$
Answer$− 8xyz + 10x^2yz^3 \times xyz$
$= − 8x^2y^2z^2 + 10x^3y^2z^4$
View full question & answer→Question 231 Mark
Multiply $: 2x − 3y − 5z$ and $− 2y$
Answer$ 2x − 3y − 5z \times − 2y$
$= − 4xy + 6y^2 + 10yz$
View full question & answer→Question 241 Mark
Multiply $: x − y + z$ and $− 2x$
Answer$ (x − y + z) \times − 2x$
$= − 2x^2+ 2xy − 2xz$
View full question & answer→Question 251 Mark
Multiply $: 3abc$ and $− 5a^2b^2c$
Answer$3abc \times − 5a^2b^2c$
$= 3 \times − 5 \times a^{1+2} \times b^{1+2} \times c^{1+1}$
$= − 15a^3b^3c^2$
View full question & answer→Question 261 Mark
Multiply $: − 5xy$ and $− xy^2 − 6x^2y$
Answer$(− xy^2 − 6x^2y) \times − 5xy$
$= − xy^2 \times − 5xy − 6x^2y \times − 5xy$
$= 5x^2y^3 + 30x^3y^2$
View full question & answer→Question 271 Mark
Multiply $: 3a + 4b − 5c$ and $3a$
Answer$(3a + 4b − 5c) \times 3a$
$= (3a \times 3a) + (4b \times 3a) − (5c \times 3a)$
$= 9a^2+ 12ab − 15ac$
View full question & answer→Question 281 Mark
Multiply $: 4xy$ and $− x^2y − 3x^2y^2$
Answer$− x^2y − 3x^2y^2 \times 4xy$
$= − x^2y \times 4xy − 3x^2y^2 \times 4xy$
$= − 4x^3y^2 − 12x^3y^3$
View full question & answer→Question 291 Mark
Multiply $: − 3xy^2 + 4x^2y$ and $− xy$
Answer$− 3xy^2 + 4x^2y \times − xy$
$= − 3xy^2 \times − xy + 4x^2y \times − xy$
$= 3x^2y^3 − 4x^3y^2$
View full question & answer→Question 301 Mark
Multiply $ : − x + y − z$ and $− 2x$
Answer$ (− x + y − z) \times −2x$
$= − x \times − 2x + y \times − 2x − z \times − 2x$
$= 2x^2 − 2xy + 2xz$
View full question & answer→Question 311 Mark
Multiply $: 6x − 5y$ by $3axy$
Answer$(6x − 5y) \times 3axy$
$= 6x \times 3axy − 5y \times 3axy$
$= 18ax^2y − 15axy^2$
View full question & answer→Question 321 Mark
Multiply $: 1 + 4x$ by $ x$
Answer$(1 + 4x) \times x$
$= 1 \times x + 4x \times x$
$= x + 4x^2$
View full question & answer→Question 331 Mark
Multiply $:x^2− x$ by $2x$
Answer$(x^2 − x) \times 2x$
$= x^2 \times 2x − x \times 2x$
$= 2x^3 − 2x^2$
View full question & answer→Question 341 Mark
Multiply$ : 4x + 2y$ by $3xy$
Answer$(4x + 2y) \times 3xy$
$= 4x \times 3xy + 2y \times 3xy$
$= 12x^2y + 6xy^2$
View full question & answer→Question 351 Mark
Multiply $: 2xy − 5by$ by $4bx$
Answer$(2xy − 5by) \times 4bx$
$= 2xy \times 4bx − 5by \times 4bx$
$= 8bx^2y − 20b^2xy$
View full question & answer→Question 361 Mark
Multiply $: a + b$ by $ab$
Answer$(a + b) \times ab$
$= a \times ab + b \times ab$
$= a^2b + ab^2$
View full question & answer→Question 371 Mark
Find the value of $abc \times bcd$
Answer$abc \times bcd$
$= a \times b^{1+1} \times c^{1+1} \times d$
$= ab^2c^2d$
View full question & answer→Question 381 Mark
Find the value of $2x^2y^3 \times 5x^3y^4$
Answer$2x^2y^3 \times 5x^3y^4$
$= 2 \times 5 \times x^{2+3} \times y^{3+4}$
$= 10x^5y^7$
View full question & answer→Question 391 Mark
Find the value of $a^2b^2 \times 5a^3b^4$
Answer$a^2b^2 \times 5a^3b^4$
$= 1 \times 5 \times a^{2+3} \times b^{2+4}$
$= 5a^5b^6$
View full question & answer→Question 401 Mark
Find the value of $3abc \times 6ac^3$
Answer$3abc \times 6ac^{3 }$
$= 3 \times 6 \times a^{1+1} \times b \times c^{1+3}$
$= 18a^2bc^4$
View full question & answer→Question 411 Mark
Find the value of $5a^2 \times 7a^7$
Answer$5a^2 \times 7a^7$
$= 5 \times 7 \times a^{2+7}$
$= 35a^9$
View full question & answer→Question 421 Mark
Find the value of $3x^3 \times 5x^4$
Answer$3x^3 \times 5x^4$
$= 3 \times 5x^{3+4}$
$= 15x^7$
View full question & answer→Question 431 Mark
By how much should x + 2y – 3z be increased to get 3x?
Answer3x – (x + 2y – 3z)
= 3x – x – 2y + 3z
= 2x – 2y + 3z
View full question & answer→Question 441 Mark
Answer4ab + 0 − 2ba
= 4ab − 2ba + 0
= 2ab
View full question & answer→Question 451 Mark
Simplify:
13pqr + 2p + 4q − 6pqr + 5pqr
Answer13pqr + 2p + 4q − 6pqr + 5pqr
= 13pqr + 5pqr − 6pqr + 2p + 4q
= 12pqr + 2p + 4q
View full question & answer→Question 461 Mark
Simplify:
8abc + 2ab − 4abc + ab
Answer8abc + 2ab − 4abc + ab
= 8abc − 4abc + 2ab + ab
= 4abc + 3ab
View full question & answer→Question 471 Mark
Simplify $:6a^2 − 3b^2 + 2a^2+ 5b^2 − 4a^2$
Answer$6a^2 − 3b^2 + 2a^2+ 5b^2 − 4a^2$
$= 6a^2 + 2a^2 − 4a^2+ 5b^2 − 3b^2$
$= 4a^2 + 2b^2$
View full question & answer→Question 481 Mark
Simplify:
ab + 15ab − 11ab − 2ab
Answerab + 15ab − 11ab − 2ab
= 16ab − 13ab
= 3ab
View full question & answer→Question 491 Mark
Simplify:
2xy + 4yz + 5xy + 3yz − 6xy
Answer2xy + 4yz + 5xy + 3yz − 6xy
= 2xy + 5xy − 6xy + 4yz + 3yz
= 7xy − 6xy + 7yz
= x + 7yz
View full question & answer→Question 501 Mark
Simplify:
4a + 3b − 2a − b
Answer4a + 3b − 2a − b
= 4a − 2a + 3b − b
= 2a + 2b
View full question & answer→