Question
Write five rational numbers greater then $-2.$
✓
Answer
$-2$ can be represented as $-\frac{14}{7}$ Therefore, five rational numbers greater than $-2$ are $-\frac{13}{7},-\frac{12}{7},-\frac{-11}{7},-\frac{10}{7},-\frac{9}{7}$
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Deepak and his family went on a road trip by car. They visited four cities. City 1 was 500 km from their home. The petrol tank in their car has a capacity of 35 litres. The car runs 20 km on one litre.
From City 4, they travelled 500 km to reach home.
(i) How many litres of petrol did they use to complete the road trip?
(a) 100 $\qquad$ (b) 125 $\qquad$ (c) 200 $\qquad$ (d) 2500
(ii) The family travelled 500 km In a day. What is the smallest number of days in which the road trip can be completed?
(iii) The car travelled at a uniform speed of $75 km / h$ between City 3 and City 4 . How much distance did car travel in 20 min ?
(iv) The family started their journey from City 3 at 10 am . By what time will they reach half the distance to City 4 ?
(a) 12 pm $\qquad$ (b) 1:30 pm $\qquad$ (c) 1:20 pm $\qquad$ (d) 3 pm
→| City 1 | City 2 | City 3 | City 4 | |
| Distance travelled by the car | 500 | 1000 | 1500 | 2000 |
(i) How many litres of petrol did they use to complete the road trip?
(a) 100 $\qquad$ (b) 125 $\qquad$ (c) 200 $\qquad$ (d) 2500
(ii) The family travelled 500 km In a day. What is the smallest number of days in which the road trip can be completed?
(iii) The car travelled at a uniform speed of $75 km / h$ between City 3 and City 4 . How much distance did car travel in 20 min ?
(iv) The family started their journey from City 3 at 10 am . By what time will they reach half the distance to City 4 ?
(a) 12 pm $\qquad$ (b) 1:30 pm $\qquad$ (c) 1:20 pm $\qquad$ (d) 3 pm
Find the square root of each of the following numbers by Division method.$900$
→Out of the total population of a town, $60 \%$ are males and the rest are females. $20 \%$ of the males and $25 \%$ of the females are illiterate. $85 \%$ of the males and $60 \%$ of the females are employed.
(1) What percentage of the total population is illiterate?
(a) $22 \%$$\quad$(b) $28 \%$$\quad$(c) $35 \%$$\quad$(d) $45 \%$
(2) What is the ratio of the number of literate males to that of illiterate females?
(a) $16: 5$$\quad$(b) $4: 5$$\quad$(c) $24: 5$$\quad$(d) $12: 5$
(3) What percentage of the total population is unemployed?
(a) $25 \%$$\quad$(b) $28 \%$$\quad$(c) $35 \%$$\quad$(d) $45 \%$
(4) What is the ratio of the number of employed males to that of employed females?
(a) $17: 12$$\quad$(b) $8: 3$$\quad$(c) $16: 15$$\quad$(d) $17: 8$
→(1) What percentage of the total population is illiterate?
(a) $22 \%$$\quad$(b) $28 \%$$\quad$(c) $35 \%$$\quad$(d) $45 \%$
(2) What is the ratio of the number of literate males to that of illiterate females?
(a) $16: 5$$\quad$(b) $4: 5$$\quad$(c) $24: 5$$\quad$(d) $12: 5$
(3) What percentage of the total population is unemployed?
(a) $25 \%$$\quad$(b) $28 \%$$\quad$(c) $35 \%$$\quad$(d) $45 \%$
(4) What is the ratio of the number of employed males to that of employed females?
(a) $17: 12$$\quad$(b) $8: 3$$\quad$(c) $16: 15$$\quad$(d) $17: 8$
Find the square root of the following decimal numbers.$42.25$
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→The following chart gives the growth in height in terms of percentage of full height of boys and girls with their respective ages.
Draw the line graph of above data on the same sheet and answer the following questions.
$a.$ In which year both the boys and the girls achieve their maximum height?
$b.$ Who grows faster at puberty $(14$ years to $16$ years of age$)?$
→| Age $($in years$)$ | $8$ | $9$ | $10$ | $11$ | $12$ | $13$ | $14$ | $15$ | $16$ | $17$ | $18$ |
| Boys | $72\%$ | $75\%$ | $78\%$ | $81\%$ | $84\%$ | $88\%$ | $92\%$ | $95\%$ | $98\%$ | $99\%$ | $100\%$ |
| Girls | $77\%$ | $81\%$ | $84\%$ | $88\%$ | $91\%$ | $95\%$ | $98\%$ | $99\%$ | $99.5\%$ | $100\%$ | $100\%$ |
$a.$ In which year both the boys and the girls achieve their maximum height?
$b.$ Who grows faster at puberty $(14$ years to $16$ years of age$)?$
Find the area of a rhombus whose side is $6\ cm$ and whose altitude is $4\ cm$. If one of its diagonals is $8\ cm$ long, find the length of the other diagonal.
→Using Euler’s formula, find the value of unknown $x, y, z, p, q, r,$ in the following table.
→→→| Faces | $9$ |
| Vertices | $z$ |
| Edges | $16$ |
