Question 11 Mark
Find: $\frac{4}{9}\text{ of }54 \text{ meters}$
Answer$\frac{4}{9}\text{ of }54 \text{ meters}$
$54\Big(\frac{4}{9}\times54\Big)\text{ metres}$
$=4\times6=24\text{ metres}$
View full question & answer→Question 21 Mark
Write $'T'$ for true and $'F'$ for false the following: $\frac{9}{16}<\frac{13}{24}$
AnswerFalse.
By cross multiplication, We have: $9 \times 24 = 216$ and $13 \times 16 = 208$
However, $216 > 208$ $\frac{9}{16}<\frac{13}{24}$
View full question & answer→Question 31 Mark
Fill in the blanks:
$41\frac{2}{3}\div18\frac{3}{5}=\ ......$
Answer$41\frac{2}{3}\div18\frac{3}{5}=775$
$41\frac{2}{3}\times18\frac{3}{5}=\frac{125}{3}\times\frac{93}{5}$
$=\frac{125}{3}\times\frac{93}{5}=\frac{25\times31}{1\times1}=775$
View full question & answer→Question 41 Mark
Fill in the blanks: $69\frac{3}{4}\div7\frac{3}{4}=\ ......$
Answer$69\frac{3}{4}\div7\frac{3}{4}=9$
$69\frac{3}{4}\div7\frac{3}{4}=\frac{279}{4}\div\frac{31}{4}$
$=\frac{279}{4}\times\frac{4}{31}=\frac{279}{31}=9$
View full question & answer→Question 51 Mark
Write down the reciprocal of: $7$
AnswerReciprocal of $7=\frac{1}{7}$$\Big[\because7\times\frac{1}{7}=1\Big]$
View full question & answer→Question 61 Mark
Find: $\frac{3}{4}\text{ of }32$
Answer$\frac{3}{4}\text{ of }32$ $=\frac{4}{3}\times32=3\times8=24$
View full question & answer→Question 71 Mark
Write down the reciprocal of: $12^\frac{3}{5}$
Answer Reciprocal of $12^\frac{3}{5}$ = Reciprocal of $\frac{63}{5}=\frac{5}{63}$ $\Big[\because\frac{63}{5}\times\frac{5}{63}=1\Big]$
View full question & answer→Question 81 Mark
Find:
$\frac{7}{50}\text{ of }1000$
Answer $\frac{7}{50}\text{ of }1000$
$=\frac{7}{50}\times1000=7\times20=140$
View full question & answer→Question 91 Mark
Find the product: $3\frac{6}{7}\times4\frac{2}{3}$
Answer$3\frac{6}{7}\times4\frac{2}{3}=\frac{27}{7}\times\frac{14}{3}$ $=\frac{27\times14}{7\times3}=\frac{9\times2}{1}=18$
View full question & answer→Question 101 Mark
Find: $\frac{7}{50}\text{ of a litre}$
Answer$\frac{7}{50}\text{ of a litre}$
$=\frac{7}{50}\times100\text{ml}$
$(1$ litre $= 1000ml)$
$(7 \times 20)ml = 140ml.$
View full question & answer→Question 111 Mark
Write $'T'$ for true and $'F'$ for false the following:$\frac{11}{15}-\frac{9}{20}=\frac{17}{60}$
AnswerTrue.
The $LCM$ of $15$ and $20$ $=(5\times3\times4)=60$
$\therefore\frac{11}{15}-\frac{9}{20}=\frac{44-27}{60}=\frac{17}{60}$
View full question & answer→Question 121 Mark
Fill in the blanks: Reciprocal of $8\frac{2}{5}$ is .......
AnswerReciprocal of $8\frac{2}{5} \text{ is }\frac{5}{42}$
Reciprocal of $8\frac{2}{5}$ = Reciprocal of $\frac{42}{5}\frac{5}{42}$
View full question & answer→Question 131 Mark
Find the product: $\frac{2}{8}\times15$
Answer$\frac{2}{8}\times15=\frac{2\times15}{5}=2\times3=6$
View full question & answer→Question 141 Mark
Find:
$\frac{9}{20}\text{ of a metre}$
Answer $\frac{9}{20}\text{ of a metre}$
$=\frac{9}{20}\times100\text{cm}$
(1 metre = 100cm)
= (9 × 5)cm = 45cm.
View full question & answer→Question 151 Mark
Find the product: $5\frac{5}{6}\times1\frac{5}{7}$
Answer$5\frac{5}{6}\times1\frac{5}{7}=\frac{35}{6}\times\frac{12}{7}$ $=\frac{35\times12}{6\times7}=\frac{5\times2}{1\times1}=\frac{10}{1}=10$
View full question & answer→Question 161 Mark
Find the product: $\frac{5}{8}\times\frac{4}{7}$
Answer$\frac{5}{8}\times\frac{4}{7}=\frac{5\times4}{8\times7}=\frac{5}{2\times7}=\frac{5}{14}$
View full question & answer→Question 171 Mark
Find the product:
$\frac{5}{8}\times1000$
Answer $\frac{5}{8}\times1000=\frac{5\times1000}{8}=\frac{5\times125}{1}=625$
View full question & answer→Question 181 Mark
Fill in the blanks: $\frac{84}{98}$ (in irreducible form) = ......
Answer$\frac{84}{98}$ (in irreducible form) $=\frac{6}{7}$
The $HCF$ of $84$ and $98$ is $14$
$\therefore\frac{84+14}{98+14}=\frac{6}{7}$
View full question & answer→Question 191 Mark
Find: $\frac{1}{6}\text{ of }\text{an hour}$
Answer$\frac{1}{6}\text{ of }\text{an hour}$$=\frac{1}{6}\times60\text{ minutes}$
($1$ hour $= 60$ minutes)
$= 10$ minutes
View full question & answer→Question 201 Mark
Find: $\frac{7}{20}\text{ of a kg}$
Answer$\frac{7}{20}\text{ of a kg}$
$=\frac{7}{20}\times1000\text{ grams}$ (kg $= 1000$ grams)
$= (7 \times 50)$ grams $= 350$ grams.
View full question & answer→Question 211 Mark
Find: $\frac{3}{20}\text{ of }1020$
Answer$\frac{3}{20}\text{ of }1020$ $=\frac{3}{20}\times1020=3\times51=153$
View full question & answer→Question 221 Mark
Find the product: $\frac{8}{15}\times20$
Answer$\frac{8}{15}\times20=\frac{8\times20}{15}=\frac{8\times4}{3}=\frac{32}{3}=10\frac{2}{3}$
View full question & answer→Question 231 Mark
Find: $\frac{3}{7}\text{ of a week}$
Answer$\frac{3}{7}\text{ of a week}$
$=\frac{3}{7}\times7\text{ day}$ $(1$ week $= 7$ day$) = 3$ days.
View full question & answer→Question 241 Mark
Find the product: $3\frac{1}{8}\times16$
Answer$3\frac{1}{8}\times16=\frac{25}{8}\times16$ $=\frac{25\times16}{8}=\frac{25\times2}{1}=50$
View full question & answer→Question 251 Mark
Find:
$\frac{5}{6}\text{ of an year}$
Answer$\frac{5}{6}\text{ of an year}$
$=\Big(\frac{5}{6}\times12\Big)$
$(1$ year $= 12$ months$)$
$= (5 \times 2)$ months $= 10$ months.
View full question & answer→Question 261 Mark
Find the product: $\frac{4}{9}\times\frac{15}{16}$
Answer$\frac{4}{9}\times\frac{15}{16}=\frac{4\times15}{9\times16}=\frac{5}{3\times4}=\frac{5}{12}$
View full question & answer→Question 271 Mark
Write $'T'$ for true and $'F'$ for false the following: $16\frac{3}{4}\times6\frac{2}{5}=107\frac{3}{10}$
AnswerFalse.
$16\frac{3}{4}\times6\frac{2}{5}=\Big(\frac{67}{4}\times\frac{32}{5}\Big)$
$=\Big(\frac{67\times32}{4\times5}\Big)=\Big(\frac{67\times8}{5}\Big)$
$=\frac{536}{5}=107\frac{1}{5}$
View full question & answer→Question 281 Mark
Find:
$\frac{6}{7}\text{ of }35 \text{ liters}$
Answer $\frac{6}{7}\text{ of }35 \text{ liters}$
$=\Big(\frac{6}{7}\times35\Big)\text{ liters}$
$=(6\times5)\text{ liters}=30\text{ liters}$
View full question & answer→Question 291 Mark
Find: $\frac{1}{3}\text{ of }24$
Answer$\frac{1}{3}\text{ of }24=\frac{1}{3}\times24=8$
View full question & answer→Question 301 Mark
Find the product: $2\frac{4}{15}\times12$
Answer$2\frac{4}{15}\times12=\frac{34}{15}\times12=\frac{34\times12}{15}$ $=\frac{34\times4}{5}=\frac{136}{5}=27\frac{1}{5}$
View full question & answer→Question 311 Mark
Find the sum: $\frac{5}{9}+\frac{3}{9}$
Answer$\frac{5}{9}+\frac{3}{9}=\frac{5+3}{9}=\frac{8}{9}$
View full question & answer→Question 321 Mark
Find the product:
$9\frac{1}{2}\times1\frac{9}{19}$
Answer $9\frac{1}{2}\times1\frac{9}{19}=\frac{19}{9}\times\frac{28}{19}$
$=\frac{19\times28}{2\times19}=\frac{1\times14}{1\times1}=14$
View full question & answer→Question 331 Mark
Find: $\frac{5}{9}\text{ of }45$
Answer$\frac{5}{9}\text{ of }45$ $=\frac{5}{9}\times45=5\times5=25$
View full question & answer→Question 341 Mark
Write down the reciprocal of: $\frac{5}{8}$
AnswerReciprocal of $\frac{5}{8}=\frac{8}{5}$$\Big[\because\frac{5}{8}\times\frac{8}{5}=1\Big]$
View full question & answer→Question 351 Mark
Write $'T'$ for true and $'F'$ for false the following:
Among $\frac{2}{5},\frac{16}{35}$ and $\frac{9}{14}$ the largest is $\frac{16}{35}$
AnswerFalse.
The $LCM$ of $5, 35$ and $14$ is $70$
Now $\frac{2}{5}=\times\frac{14}{14}=\frac{28}{70}$
$\frac{16}{35}=\frac{16}{35}\times\frac{2}{2}=\frac{32}{70}$
$\frac{9}{14}=\frac{9}{14}\times\frac{5}{5}=\frac{45}{70}$
Clearly, $\frac{28}{70}<\frac{32}{70}<\frac{45}{70}$
$\therefore\frac{2}{5}<\frac{16}{35}<\frac{9}{14}$
View full question & answer→Question 361 Mark
Find: $\frac{7}{8}\text{ of a day}$
Answer$\frac{7}{8}\text{ of a day}$ $=\frac{7}{8}\times24\text{ hours}$ $(1$ day $= 24$ hours$) = (7 \times 3)$ hours $= 21$ hours.
View full question & answer→Question 371 Mark
Fill in the blanks:$13\frac{1}{2}\div8=\ ......$
Answer$13\frac{1}{2}\div8=1\frac{11}{16}$
$13\frac{1}{2}\div8=\frac{27}{2}\times\frac{1}{8}$ $=\frac{27}{16}=1\frac{11}{16}$
View full question & answer→Question 381 Mark
Find the product: $4\frac{1}{8}\times2\frac{10}{11}$
Answer$4\frac{1}{8}\times2\frac{10}{11}=\frac{33}{8}\times\frac{32}{11}$ $=\frac{33\times32}{8\times11}=\frac{3\times4}{1\times1}=\frac{12}{1}=12$
View full question & answer→Question 391 Mark
Find: $\frac{5}{11}\text{ of Rs. }220$
Answer$\frac{5}{11}\text{ of Rs. }220$ $=\text{Rs. }\Big(\frac{5}{11}\times220\Big)$ $=\text{Rs. }\times20=\text{Rs. }100$
View full question & answer→Question 401 Mark
Write $'T'$ for true and $'F'$ for false the following: $\frac{11}{25}$ of a litre $= 440ml$
AnswerTrue.
$\frac{11}{25}\text{ of }1\text{ liter}=\frac{11}{25}\text{ of }1000\text{ml}$
$=\Big(1000\times\frac{11}{25}\Big)\text{ml}=(40\times11)\text{ml}$
$=440\text{ml}$
View full question & answer→Question 411 Mark
Find the difference: $\frac{5}{7}-\frac{2}{7}$
Answer$\frac{5}{7}-\frac{2}{7}=\frac{5-2}{7}=\frac{3}{7}$
View full question & answer→Question 421 Mark
Write down the reciprocal of:$\frac{1}{12}$
AnswerReciprocal of $\frac{1}{12}=12$$\Big[\because\frac{1}{12}\times12=1\Big]$
View full question & answer→Question 431 Mark
Find the product: $\frac{3}{5}\times\frac{7}{11}$
Answer$\frac{3}{5}\times\frac{7}{11}=\frac{3\times7}{5\times11}=\frac{21}{55}$
View full question & answer→Question 441 Mark
Write down the reciprocal of:
$\frac{5}{8}$
AnswerReciprocal of $\frac{5}{8}=\frac{8}{5}$ $\Big[\because\frac{5}{8}\times\frac{8}{5}=1\Big]$
View full question & answer→Question 451 Mark
Write down the reciprocal of: $12^\frac{3}{5}$
AnswerReciprocal of $12^\frac{3}{5}$ = Reciprocal of $\frac{63}{5}=\frac{5}{63}$ $\Big[\because\frac{63}{5}\times\frac{5}{63}=1\Big]$
View full question & answer→Question 461 Mark
Write down the reciprocal of: $\frac{1}{12}$
AnswerReciprocal of $\frac{1}{12}=12$ $\Big[\because\frac{1}{12}\times12=1\Big]$
View full question & answer→Question 471 Mark
Write down the reciprocal of:
7
AnswerReciprocal of $7=\frac{1}{7}$ $\Big[\because7\times\frac{1}{7}=1\Big]$
View full question & answer→Question 481 Mark
Find the sum:
$\frac{5}{9}+\frac{3}{9}$
Answer$\frac{5}{9}+\frac{3}{9}=\frac{5+3}{9}=\frac{8}{9}$
View full question & answer→Question 491 Mark
Find the product:
$\frac{8}{15}\times20$
Answer$\frac{8}{15}\times20=\frac{8\times20}{15}=\frac{8\times4}{3}=\frac{32}{3}=10\frac{2}{3}$
View full question & answer→Question 501 Mark
Find the product:
$\frac{5}{8}\times\frac{4}{7}$
Answer$\frac{5}{8}\times\frac{4}{7}=\frac{5\times4}{8\times7}=\frac{5}{2\times7}=\frac{5}{14}$
View full question & answer→Question 511 Mark
Find the product:
$\frac{5}{8}\times1000$
Answer$\frac{5}{8}\times1000=\frac{5\times1000}{8}=\frac{5\times125}{1}=625$
View full question & answer→Question 521 Mark
Find the product:
$\frac{4}{9}\times\frac{15}{16}$
Answer$\frac{4}{9}\times\frac{15}{16}=\frac{4\times15}{9\times16}=\frac{5}{3\times4}=\frac{5}{12}$
View full question & answer→Question 531 Mark
Find the product:
$\frac{3}{5}\times\frac{7}{11}$
Answer$\frac{3}{5}\times\frac{7}{11}=\frac{3\times7}{5\times11}=\frac{21}{55}$
View full question & answer→Question 541 Mark
Find the product:
$\frac{2}{8}\times15$
Answer$\frac{2}{8}\times15=\frac{2\times15}{5}=2\times3=6$
View full question & answer→Question 551 Mark
Find the product:
$9\frac{1}{2}\times1\frac{9}{19}$
Answer$9\frac{1}{2}\times1\frac{9}{19}=\frac{19}{9}\times\frac{28}{19}$
$=\frac{19\times28}{2\times19}=\frac{1\times14}{1\times1}=14$
View full question & answer→Question 561 Mark
Find the product:
$5\frac{5}{6}\times1\frac{5}{7}$
Answer$5\frac{5}{6}\times1\frac{5}{7}=\frac{35}{6}\times\frac{12}{7}$
$=\frac{35\times12}{6\times7}=\frac{5\times2}{1\times1}=\frac{10}{1}=10$
View full question & answer→Question 571 Mark
Find the product:
$4\frac{1}{8}\times2\frac{10}{11}$
Answer$4\frac{1}{8}\times2\frac{10}{11}=\frac{33}{8}\times\frac{32}{11}$
$=\frac{33\times32}{8\times11}=\frac{3\times4}{1\times1}=\frac{12}{1}=12$
View full question & answer→Question 581 Mark
Find the product:
$3\frac{6}{7}\times4\frac{2}{3}$
Answer$3\frac{6}{7}\times4\frac{2}{3}=\frac{27}{7}\times\frac{14}{3}$
$=\frac{27\times14}{7\times3}=\frac{9\times2}{1}=18$
View full question & answer→Question 591 Mark
Find the product:
$3\frac{1}{8}\times16$
Answer$3\frac{1}{8}\times16=\frac{25}{8}\times16$
$=\frac{25\times16}{8}=\frac{25\times2}{1}=50$
View full question & answer→Question 601 Mark
Find the product:
$2\frac{4}{15}\times12$
Answer$2\frac{4}{15}\times12=\frac{34}{15}\times12=\frac{34\times12}{15}$
$=\frac{34\times4}{5}=\frac{136}{5}=27\frac{1}{5}$
View full question & answer→Question 611 Mark
Find the difference:
$\frac{5}{7}-\frac{2}{7}$
Answer$\frac{5}{7}-\frac{2}{7}=\frac{5-2}{7}=\frac{3}{7}$
View full question & answer→Question 621 Mark
Find:
$\frac{9}{20}\text{ of a metre}$
Answer$\frac{9}{20}\text{ of a metre}$
$=\frac{9}{20}\times100\text{cm}$
(1 metre = 100cm)
= (9 × 5)cm = 45cm.
View full question & answer→Question 631 Mark
Find:
$\frac{7}{8}\text{ of a day}$
Answer$\frac{7}{8}\text{ of a day}$
$=\frac{7}{8}\times24\text{ hours}$
(1 day = 24 hours)
= (7 × 3) hours = 21 hours.
View full question & answer→Question 641 Mark
Find:
$\frac{7}{50}\text{ of a litre}$
Answer $\frac{7}{50}\text{ of a litre}$ $=\frac{7}{50}\times100\text{ml}$
(1 litre = 1000ml)
(7 × 20)ml = 140ml.
View full question & answer→Question 651 Mark
Find:
$\frac{7}{50}\text{ of }1000$
Answer$\frac{7}{50}\text{ of }1000$
$=\frac{7}{50}\times1000=7\times20=140$
View full question & answer→Question 661 Mark
Find:
$\frac{7}{20}\text{ of a kg}$
Answer$\frac{7}{20}\text{ of a kg}$
$=\frac{7}{20}\times1000\text{ grams}$
(kg = 1000 grams)
= (7 × 50) grams = 350 grams.
View full question & answer→Question 671 Mark
Find:
$\frac{6}{7}\text{ of }35 \text{ liters}$
Answer$\frac{6}{7}\text{ of }35 \text{ liters}$
$=\Big(\frac{6}{7}\times35\Big)\text{ liters}$
$=(6\times5)\text{ liters}=30\text{ liters}$
View full question & answer→Question 681 Mark
Find:
$\frac{5}{9}\text{ of }45$
Answer$\frac{5}{9}\text{ of }45$
$=\frac{5}{9}\times45=5\times5=25$
View full question & answer→Question 691 Mark
Find:
$\frac{5}{6}\text{ of an year}$
Answer$\frac{5}{6}\text{ of an year}$
$=\Big(\frac{5}{6}\times12\Big)$
(1 year = 12 months)
= (5 × 2) months = 10 months.
View full question & answer→Question 701 Mark
Find:
$\frac{5}{11}\text{ of Rs. }220$
Answer$\frac{5}{11}\text{ of Rs. }220$
$=\text{Rs. }\Big(\frac{5}{11}\times220\Big)$
$=\text{Rs. }\times20=\text{Rs. }100$
View full question & answer→Question 711 Mark
Find:
$\frac{4}{9}\text{ of }54 \text{ meters}$
Answer$\frac{4}{9}\text{ of }54 \text{ meters}$
$54\Big(\frac{4}{9}\times54\Big)\text{ metres}$
$=4\times6=24\text{ metres}$
View full question & answer→Question 721 Mark
Find:
$\frac{3}{7}\text{ of a week}$
Answer$\frac{3}{7}\text{ of a week}$
$=\frac{3}{7}\times7\text{ day}$
(1 week = 7 day)
= 3 days.
View full question & answer→Question 731 Mark
Find:
$\frac{3}{4}\text{ of }32$
Answer$\frac{3}{4}\text{ of }32$
$=\frac{4}{3}\times32=3\times8=24$
View full question & answer→Question 741 Mark
Find:
$\frac{3}{20}\text{ of }1020$
Answer$\frac{3}{20}\text{ of }1020$
$=\frac{3}{20}\times1020=3\times51=153$
View full question & answer→Question 751 Mark
Find:
$\frac{1}{6}\text{ of }\text{an hour}$
Answer $\frac{1}{6}\text{ of }\text{an hour}$ $=\frac{1}{6}\times60\text{ minutes}$
(1 hour = 60 minutes)
= 10 minutes
View full question & answer→Question 761 Mark
Find:
$\frac{1}{3}\text{ of }24$
Answer$\frac{1}{3}\text{ of }24=\frac{1}{3}\times24=8$
View full question & answer→