Question
Jayesh chopped carrots this way.
$1.$ Which geometric shape do the chopped carrots resemble? How many edges does one piece have$?$
$1.$ Which geometric shape do the chopped carrots resemble? How many edges does one piece have$?$
✓
Answer
$5.$ Cuboid, $12$ edges
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Bimal has a flexible string which is 132 cm long. He bent it into different shapes one by one.
Q.1. Bimal bent the string to form an equilateral triangle. What will be the length of each side of the triangle formed?
(a) 11 cm$\quad$(b) 22 cm$\quad$(c) 44 cm$\quad$(d) 48 cm
Q.2. Bimal bent the string to form a square. Find the area of the square.
(a) $1,936 cm^2$$\quad$(b) $1,729 cm^2$$\quad$(c) $1,464 cm^2$$\quad$(d) $1,089 cm^2$
Q.3. He bent it into a circle. Find the radius of the circle formed. [Use $\pi=\frac{22}{7}$ ]
(a) 7.5 cm$\quad$(b) 10.5 cm$\quad$(c) 15 cm$\quad$(d) 21 cm
Q.4. The area of the circle formed by bending the string will be [Use $\pi=\frac{22}{7}$ ]
(a) $1,323 cm^2$$\quad$(b) $1,386 cm^2$$\quad$(c) $1,545 cm^2$$\quad$(d) $1,594 cm^2$
→Q.1. Bimal bent the string to form an equilateral triangle. What will be the length of each side of the triangle formed?
(a) 11 cm$\quad$(b) 22 cm$\quad$(c) 44 cm$\quad$(d) 48 cm
Q.2. Bimal bent the string to form a square. Find the area of the square.
(a) $1,936 cm^2$$\quad$(b) $1,729 cm^2$$\quad$(c) $1,464 cm^2$$\quad$(d) $1,089 cm^2$
Q.3. He bent it into a circle. Find the radius of the circle formed. [Use $\pi=\frac{22}{7}$ ]
(a) 7.5 cm$\quad$(b) 10.5 cm$\quad$(c) 15 cm$\quad$(d) 21 cm
Q.4. The area of the circle formed by bending the string will be [Use $\pi=\frac{22}{7}$ ]
(a) $1,323 cm^2$$\quad$(b) $1,386 cm^2$$\quad$(c) $1,545 cm^2$$\quad$(d) $1,594 cm^2$
Online shopping has increased in the past few years. There are several apps and websites available which allow buyers to purchase goods online.
$1.$ In a survey, every three out ive people prefer online shopping over shopping from the local market.
What percentage of people in the survey prefer shopping from the local market?
$2.$ The marked price of a hot water geyser is $Rs. 9000.$ It is available at a discounted price for$ Rs. 7560$ on an online shopping website.
What is the percent reduction in the cost of the geyser$?$
$3.$ Misha spent $Rs. 15,000$ for groceries and home products last month. She shopped online as well as from the local market. The amount of money she spent on online shopping is three times the amount she spent on shopping from the local market.
What percentage of money did Misha spend by shopping online$?$
$4.$ Nisha purchased $20$ pairs of earrings for $Rs. 200.$ She pasted colourful beads on the earrings with glue.
The beads cost her $Rs. 30$ and a tube of glue to stick the beads costs $Rs. 20.$
She sold each pair of earrings for $Rs. 40.$
After selling all the earrings, how many rupees did she make as proit$?$
$A. Rs. 250$
$B. Rs. 550$
$C. Rs. 600$
$D. Rs. 800$
$5.$ What percentage proit did Nisha make$?$
$A. 68.75\%$
$B. 220\%$
$C. 320\%$
$D. 1375\%$
→$1.$ In a survey, every three out ive people prefer online shopping over shopping from the local market.
What percentage of people in the survey prefer shopping from the local market?
$2.$ The marked price of a hot water geyser is $Rs. 9000.$ It is available at a discounted price for$ Rs. 7560$ on an online shopping website.
What is the percent reduction in the cost of the geyser$?$
$3.$ Misha spent $Rs. 15,000$ for groceries and home products last month. She shopped online as well as from the local market. The amount of money she spent on online shopping is three times the amount she spent on shopping from the local market.
What percentage of money did Misha spend by shopping online$?$
$4.$ Nisha purchased $20$ pairs of earrings for $Rs. 200.$ She pasted colourful beads on the earrings with glue.
The beads cost her $Rs. 30$ and a tube of glue to stick the beads costs $Rs. 20.$
She sold each pair of earrings for $Rs. 40.$
After selling all the earrings, how many rupees did she make as proit$?$
$A. Rs. 250$
$B. Rs. 550$
$C. Rs. 600$
$D. Rs. 800$
$5.$ What percentage proit did Nisha make$?$
$A. 68.75\%$
$B. 220\%$
$C. 320\%$
$D. 1375\%$
Liqueied gas is a type of fuel used in cars and other vehicles. After petrol and diesel, liqueied gas is the third most popular fuel in the world. For the past two decades, it has been used as an
alternative for petrol worldwide.
$1.$ In the year $2019,$ worldwide consumption of liqueied gas was $27$ million tonnes, whereas in India, its consumption was $0.42$ million tonnes.
What is the ratio of consumption of liqueied gas in India to worldwide$?$
$2.$ In the year $2019,$ India consumed $28.3$ million tonnes of petrol and $83.5$ million tonnes of diesel.
Is it correct to say that in the year $2019,$ the consumption of diesel was less than three times the
consumption of petrol in India? Give reasons.
$3.$ The cost of per litre petrol in New Delhi on $11$ August, $2021$ was $Rs. 101.84.$ On the same day, the cost of one litre of liqueied gas was $60\%$ less than the cost of petrol in New Delhi.
Which of the following could be the cost of liqueied gas?
$A. Rs. 38.56$
$B. Rs. 61.27$
$C. Rs. 142.58$
$D. Rs. 162.94$
$4.$ Liqueied gas contains gases like butane and propane. The percentage of both butane and propane in liqueied gas varies from 100% of propane to $20\%$ of propane.
One litre of liqueied gas weighs $510\ g$ in which the mass of propane gas is $357\ g.$
Which of the following shows the percentage of propane gas present in $1\ L$ of the liqueied gas$?$
$A. 20\%$
$B. 30\%$
$C. 70\%$
$D. 100\%$
$5.$ Parvez wants to use liqueied gas in his car. He needs to install a liqueied gas kit in his car. The kit costs $Rs. 50,000.$ To install the kit, he paid $Rs. 5000$ and has availed a loan of $Rs. 45,000$ at a rate of $10\%$ per annum using simple interest. The repayment period for him is $1\ yr.$
What is the total sum of money (in rupees) Parvez has to pay in $1\ yr?$
→alternative for petrol worldwide.
$1.$ In the year $2019,$ worldwide consumption of liqueied gas was $27$ million tonnes, whereas in India, its consumption was $0.42$ million tonnes.
What is the ratio of consumption of liqueied gas in India to worldwide$?$
$2.$ In the year $2019,$ India consumed $28.3$ million tonnes of petrol and $83.5$ million tonnes of diesel.
Is it correct to say that in the year $2019,$ the consumption of diesel was less than three times the
consumption of petrol in India? Give reasons.
$3.$ The cost of per litre petrol in New Delhi on $11$ August, $2021$ was $Rs. 101.84.$ On the same day, the cost of one litre of liqueied gas was $60\%$ less than the cost of petrol in New Delhi.
Which of the following could be the cost of liqueied gas?
$A. Rs. 38.56$
$B. Rs. 61.27$
$C. Rs. 142.58$
$D. Rs. 162.94$
$4.$ Liqueied gas contains gases like butane and propane. The percentage of both butane and propane in liqueied gas varies from 100% of propane to $20\%$ of propane.
One litre of liqueied gas weighs $510\ g$ in which the mass of propane gas is $357\ g.$
Which of the following shows the percentage of propane gas present in $1\ L$ of the liqueied gas$?$
$A. 20\%$
$B. 30\%$
$C. 70\%$
$D. 100\%$
$5.$ Parvez wants to use liqueied gas in his car. He needs to install a liqueied gas kit in his car. The kit costs $Rs. 50,000.$ To install the kit, he paid $Rs. 5000$ and has availed a loan of $Rs. 45,000$ at a rate of $10\%$ per annum using simple interest. The repayment period for him is $1\ yr.$
What is the total sum of money (in rupees) Parvez has to pay in $1\ yr?$
In an equilateral triangle $ABC,$ the length of $AC = 10\ cm$ and altitude $AD = 6\ cm.$ $P$ is a point on $AB.$
The length of $BP = 4x – 1.$ The length of $PA = 3x+ 4$
$1.$ What is the length of $BP?$
$A. 1\ cm$
$B. 3\ cm$
$C. 5\ cm$
$D. 10\ cm$
$2.$ What is the length of the median on $BC?$
$A. 3\ cm$
$B. 5\ cm$
$C. 6\ cm$
$D. 10\ cm$
→The length of $BP = 4x – 1.$ The length of $PA = 3x+ 4$
$1.$ What is the length of $BP?$
$A. 1\ cm$
$B. 3\ cm$
$C. 5\ cm$
$D. 10\ cm$
$2.$ What is the length of the median on $BC?$
$A. 3\ cm$
$B. 5\ cm$
$C. 6\ cm$
$D. 10\ cm$
A funfair has activities for both children and adults. Activities can have group or pair or individual
participation. The winner in an activity is decided on the basis of scores. For some activities there
are penalties. Penalty points are subtracted from the scores.
This table below shows the details about the games and their scoring.
$1.$ Rohan and Samar compete in the car race.
Rohan’s car knocked down ive lags and Samar’s car knocked down one lag. Rohan reached the finish line faster than Samar.
Who is the winner and how many points did he score$?$
→participation. The winner in an activity is decided on the basis of scores. For some activities there
are penalties. Penalty points are subtracted from the scores.
This table below shows the details about the games and their scoring.
$1.$ Rohan and Samar compete in the car race.
Rohan’s car knocked down ive lags and Samar’s car knocked down one lag. Rohan reached the finish line faster than Samar.
Who is the winner and how many points did he score$?$
Ramlal is the incharge of a laboratory. In a bacteria culture under observation in his laboratory,the population of bacteria doubles every hour. When Ramlal started the observation, there were100 bacteria.
Q.1. Which of the following expressions gives the bacterial population after n hours?
(a)$\frac{100}{2^n}$$\quad$(b) $\frac{100}{2^{n-1}}$$\quad$(c)$2^n \times 100$$\quad$(d) $2^{n-1} \times 100$
Q.2. The population size of the bacteria after 3 hours will bе
(a) 800$\quad$ (b) 300$\quad$(c) 600$\quad$(d) 120О
Q.3. How many bacteria will be there in the culture after 1 day?
(a) $\frac{100}{2^{12}}$$\quad$(b) $2^{24} \times 100$$\quad$(c) $2^{12} \times 100$$\quad$(d) $\frac{100}{2^{24}}$
Q.4. Ramlal observes the culture after every one hour. Find the number of hours after which the population size of the bacteria will be larger than 3000.
(a) 5 hours$\quad$(b) 6 hours$\quad$(c) 7 hours$\quad$(d) 8 hours
→Q.1. Which of the following expressions gives the bacterial population after n hours?
(a)$\frac{100}{2^n}$$\quad$(b) $\frac{100}{2^{n-1}}$$\quad$(c)$2^n \times 100$$\quad$(d) $2^{n-1} \times 100$
Q.2. The population size of the bacteria after 3 hours will bе
(a) 800$\quad$ (b) 300$\quad$(c) 600$\quad$(d) 120О
Q.3. How many bacteria will be there in the culture after 1 day?
(a) $\frac{100}{2^{12}}$$\quad$(b) $2^{24} \times 100$$\quad$(c) $2^{12} \times 100$$\quad$(d) $\frac{100}{2^{24}}$
Q.4. Ramlal observes the culture after every one hour. Find the number of hours after which the population size of the bacteria will be larger than 3000.
(a) 5 hours$\quad$(b) 6 hours$\quad$(c) 7 hours$\quad$(d) 8 hours
The Bureau of Indian Standards $(BIS),$ certiies the purity of gold jewellery using hallmark codes.
The $BIS$ hallmark codes for gold jewellery are given below.
$1.$ Riya purchased a gold necklace weighing $20 g$ hallmarked $18K750.$ How many grams of pure gold are in the necklace$?$
→→The $BIS$ hallmark codes for gold jewellery are given below.
| Hallmark code | Purity of gold jewellery (Carats) |
| $22K916$ | $22$ |
| $18K750$ | $18$ |
| $14K585$ | $14$ |
A mathematical operation of rational numbers is shown on the number line.
$1.$ Which operation is it$?$
$A.$ Addition
$B.$ Subtraction
$C.$ Multiplication
$D.$ Division
$2.$ Which number will come in place of $x ?$
$3.$ Solve: $\frac{7}{10}, \frac{5}{10}$
$A. \frac{5}{7}$
$B. \frac{2}{10}$
$C.\frac{7}{5}$
$D. \frac{35}{135}$
→$1.$ Which operation is it$?$
$A.$ Addition
$B.$ Subtraction
$C.$ Multiplication
$D.$ Division
$2.$ Which number will come in place of $x ?$
$3.$ Solve: $\frac{7}{10}, \frac{5}{10}$
$A. \frac{5}{7}$
$B. \frac{2}{10}$
$C.\frac{7}{5}$
$D. \frac{35}{135}$
Horizon Glacier is a cold place. The average temperature of the place is less than zero.
The maximum and minimum temperature $($in $^\circ C)$ recorded for seven days in a week are given
below.
$1.$ What was the lowest temperature recorded in the week?
$A. –8^\circ C$
$B. –12^\circ C$
$C. –21^\circ C$
$D. –24^\circ C$
$2.$ The average maximum temperature of Horizon Glacier for the week was $–13.5^\circ C.$
On which days was the maximum temperature greater than the average maximum temperature$?$
$3.$ What is the difference between the maximum and minimum temperature on Friday$?$
→The maximum and minimum temperature $($in $^\circ C)$ recorded for seven days in a week are given
below.
$1.$ What was the lowest temperature recorded in the week?
$A. –8^\circ C$
$B. –12^\circ C$
$C. –21^\circ C$
$D. –24^\circ C$
$2.$ The average maximum temperature of Horizon Glacier for the week was $–13.5^\circ C.$
On which days was the maximum temperature greater than the average maximum temperature$?$
$3.$ What is the difference between the maximum and minimum temperature on Friday$?$