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KENDRIYA VIDYALAYA SANGATHANCCT TEST ITEMS

CLASS IX: CHAPTER 15: PROBABILITY

S. NO. TITLE OF TEST ITEM1. JERSEY NUMBER2. DISTRIBUTION OF TASKS3. IPL 20204. BRAIN STORMING5. GAME BLUFF6. SEX RATIO7. PREVENTION CORONAVIRUSES 8. THE LIFE CYCLE OF TYRE9. ROAD ACCIDENTS IN INDIA

10. GERMINATION OF SEEDS

THEME 01: JERSEY NUMBER

Domain: Mathematical Literacy

Theme / Topic: Probability

Class: IXTotal Credits:10

Learning Outcomes: Identify Outcomes of Experiment and Find favorable outcomes of an event. (Evaluate).Calculate Probability of different events. (Interpret & Formulate).Find Probability of events (Formulate)

In team sports, the number, often referred to as the uniform number, squad number, jersey number, shirt number, sweater number, or similar (with such naming differences varying by sport and region) is the number worn on a player's uniform, to identify and distinguish each player (and sometimes others, such as coaches and officials) from others wearing the same or similar uniforms. The number is typically displayed on the rear of the jersey, often accompanied by the surname. Sometimes it is also displayed on the front and/or sleeves, or on the player's shorts or headgear. It is used to identify the player to officials, other players, official scorers, and spectators; in some sports, it is also indicative of the player's position.

Class 9th of a School has two sections A and B having same number of students in each section.All 2-digit numbers are sufficient to allot jersey numbers to all the students of class 9 th for their Physical Education Period. Students of section 9A were allotted an Even jersey number while the students of class 9B were allotted an Odd jersey number. Chits of each number are made. Students are asked to pick the chit one by one.

Based upon the given information answer the following questions

Question 1: How many students are there in class 9th?100909989

Question 2: Ruhi of class 9B loves number 8. What is the probability that she can pick number so as to get the sum of the jersey number as 8 (1+7=8)?4/458/458/994/99

https://en.wikipedia.org/wiki/Jersey_(clothing)

https://en.wikipedia.org/wiki/Official_(sports)

https://en.wikipedia.org/wiki/Uniform

https://en.wikipedia.org/wiki/Team_sport

Question 3: Amit of class 9A gets the first chance to pick the jersey number. Amit loves doublets. What is the probability that his jersey number is a doublet?4/458/458/994/99

Question 4: Anuradha of class 9B gets the first chance to pick the jersey number. She wants her jersey number to be a perfect square number. What is the probability that she does not get the jersey of her choice?1/151/514/154/5

Question 5: All the students are allotted their jersey numbers. A student is to be selected as a Captain of each section.What is the probability that the captain of class 9A and captain of 9B, each bears a jersey number as prime number?

‘JERSEY NUMBER’ SCORING 1 FRAMEWORK CHARACTERISTICSCompetency Cluster ConnectionsOverarching idea Change and relationshipsContext Scientific / SocietalItem format MCQCognitive process Interpret and FormulateProficiency Level 2

Credit Pattern:Full Credit: 02Partial Credit: 00Nil Credit: 00

Description of Answer Key and Credits:b) 90

‘JERSEY NUMBER’ SCORING 2 FRAMEWORK CHARACTERISTICSCompetency Cluster ConnectionsOverarching idea Change and relationshipsContext Scientific / SocietalItem format MCQCognitive process Interpret and FormulateProficiency Level 2


Description of Answer Key and Credits:4/45

‘JERSEY NUMBER’ SCORING 3FRAMEWORK CHARACTERISTICSCompetency Cluster ConnectionsOverarching idea Change and relationshipsContext Scientific / SocietalItem format MCQCognitive process Interpret and FormulateProficiency Level 2



‘JERSEY NUMBER’ SCORING 4FRAMEWORK CHARACTERISTICSCompetency Cluster ConnectionsOverarching idea Change and relationshipsContext Scientific / SocietalItem format MCQCognitive process Interpret and FormulateProficiency Level 4


Description of Answer Key and Credits:c) 14/15

‘JERSEY NUMBER’ SCORING 5FRAMEWORK CHARACTERISTICSCompetency Cluster ConnectionsOverarching idea Change and relationshipsContext Scientific / SocietalItem format Short responseCognitive process Interpret and FormulateProficiency Level 5


Description of Answer Key and Credits:Probability(Captain 9A) = 0Probability(Captain 9B) = 21/45 or 7/15

Name of the Teacher/Item Writer: Designation:

Vishal Mahajan, TGT Maths

Email : [email protected] No.: 9873909310Name of the Vidyalaya: Kendriya Vidyalaya NFC Vigyan Vihar Shift 2KVS Region: Delhi

THEME 02: DISTRIBUTION OF TASKS



Class: IXTotal Credits:10

Learning Outcomes: 1. Use of Probability (Employ).2. Identify Outcomes of Experiment and Find favorable outcomes of an event. (Evaluate).3. Calculate Probability of different events. (Interpret & Formulate).

Teacher has to assign 5 tasks to Students of class of 9. Teacher divided students into 5 groups i.e. group1, group2, group3, group4 and group5 of 4 students each. ONE student in each Group will roll a dice for 5 minutes. Another student in each group should record the observations regarding occurrence of numbers (1,2,3,4,5,6). Observations of 5 groups are as follows

Number on Dice Group 1 Group 2 Group 3 Group 4 Group 51 3 4 1 2 32 2 3 3 2 13 4 3 3 4 34 3 2 2 2 25 2 2 1 3 26 4 3 3 2 2

On the basis of above information and tasks will be assigned to different groups.

Question 1: The group having least probability of getting a number 3 will be assigned Task 1. Which group will be assigned Task1?Group 1Group 2Group 4Group 5

Question 2: The group having highest probability of getting a number divisible by 4 will be assigned Task 2. Which group will be assigned Task2?Group 1Group 3Group 4Group 5

Question 3: The group having maximum probability of getting an even number will be assigned Task 3. Which group will be assigned Task3?Group 5Group 4Group 3Group 2

Question 4: The group having least probability of getting a number less than 3 will be assigned Task 4. Which group will be assigned Task4?Group 4Group 3Group 2Group 1

Question 5: What is the probability of getting 6 of group having maximum number of roll of dice?

‘DISTRIBUTION OF TASKS’ SCORING 1 FRAMEWORK CHARACTERISTICSCompetency Cluster ConnectionsOverarching idea Change and relationshipsContext Scientific / SocietalItem format MCQCognitive process Interpret and FormulateProficiency Level 6


Description of Answer Key and Credits:b) Group 2



Description of Answer Key and Credits:a) Group 1



Description of Answer Key and Credits:c) Group 3



Description of Answer Key and Credits:a) Group 4

‘DISTRIBUTION OF TASKS’ SCORING 5 FRAMEWORK CHARACTERISTICSCompetency Cluster ConnectionsOverarching idea Change and relationshipsContext Scientific / SocietalItem format Short responseCognitive process Interpret and FormulateProficiency Level 5


Description of Answer Key and Credits:4/18 or 2/9


Vishal Mahajan TGT Maths

Email : [email protected] No.: 9873909310Name of the Vidyalaya: Kendriya Vidyalaya NFC VIgyanVihar Shift 2KVS Region: Delhi

THEME 03: IPL 2020



Class: IXTotal Credits: 08

Learning Outcomes: Use of Probability (Employ).Identify Outcomes of Experiment and Find favorable outcomes of an event. (Evaluate).Calculate Probability of different events. (Interpret & Formulate).

The Indian Premier League is a professional Twenty20 cricket league in India contested during March or April and May of every year by eight teams representing eight different cities in India.The 2020 Indian Premier League, also known as IPL 13 is the thirteenth season of the IPL, a professional Twenty20 cricket (T20) league established by the Board of Control for Cricket in India (BCCI) in 2007.The tournament was originally scheduled to commence on 29 March 2020, but was suspended until 15 April due to the global coronavirus pandemic. After Indian Prime Minister Narendra Modi announced on 14 April that the lockdown in India would last until at least 3 May 2020, the BCCI suspended the tournament indefinitely. On 2 August 2020, it was announced that the tournament would be played between 19 September and 10 November 2020 in the United Arab Emirates. On 10 August 2020, the Indian government gave its permission for the tournament to take place in the UAE. The full fixtures for the tournament were confirmed on 6 September 2020.

Source – Wikipedia

A survey to know who will win Dream11 IPL 2020 title was conducted among 500 people. Following table shows the number of votes for winning the title each team got in the survey.

Team Ranking Team Number of Votes

1 MUMBAI INDIANS 75 votes

2 ROYAL CHALLENGERS BANGALORE 72 votes

3 CHENNAI SUPER KINGS 70 votes

4 DELHI CAPITALS 65 votes

5 SUNRISERS HYDERABAD 62 votes

6 KOLKATA KNIGHT RIDERS 54 votes

7 RAJASTHAN ROYALS 52 votes

8 KINGS XI PUNJAB 50 votes

IPL 2020 UAE: Winning Prediction survey. Total Votes: 500

https://www.icccricketschedule.com/vivo-ipl-2020-full-players-list-of-sunrisers-hyderabad/

https://en.wikipedia.org/wiki/COVID-19_pandemic_lockdown_in_India

https://en.wikipedia.org/wiki/Narendra_Modi

https://en.wikipedia.org/wiki/COVID-19_pandemic

https://en.wikipedia.org/wiki/Board_of_Control_for_Cricket_in_India

https://en.wikipedia.org/wiki/Twenty20_cricket

https://en.wikipedia.org/wiki/Indian_Premier_League

The following table shows the ranking in different IPL tournaments till date.

IPL - 1

IPL - 2

IPL - 3

IPL - 4

IPL - 5

IPL - 6

IPL - 7

IPL - 8

IPL - 9

IPL - 10

IPL - 11

IPL - 12

Rajasthan Royals 1st 6th 7th 6th 7th 3rd 5th 4th Suspended 4th 7th

Chennai Super Kings 2nd SF 1st 1st 2nd 2nd 3rd 2nd Suspended 1st 2nd

Kolkata Knight Riders

6th 8th 6th 4th 1st 7th 1st 5th 4th 3rd 3rd 5th

Mumbai Indians 5th 7th 2nd 3rd 4th 1st 4th 1st 5th 1st 5th 1st

Delhi Capitals SF SF 5th 10th 3rd 9th 8th 7th 6th 6th 8th 3rd

Kings XI Punjab SF 5th 8th 5th 6th 6th 2nd 8th 8th 5th 7th 6th

Royal Challengers Bangalore

7th 2nd 3rd 2nd 5th 5th 7th 3rd 2nd 8th 6th 8th

Sunrisers Hyderabad Team did not exist 4th 6th 6th 1st 4th 2nd 4th

Deccan Chargers† 8th 1st


Question 1: What is the probability of team DELHI CAPITALS winning IPL 2020 as per the above survey

Question 2: What is the probability of team winning IPL 2020 as per the above survey by a team who secured 5 th position in IPL 5?

Question 3: What is the probability of team winning IPL 2020 as per the above survey by a team who won the first IPL tournament?

Question 4: What is the probability of team winning IPL 2020 as per the above survey by a team who won the last IPL tournament?

‘IPL 2020’ SCORING 1 Mathematical content QuantityItem format Short ResponseContext ScientificCognitive Processes Interpret and FormulateProficiency level 2

https://en.wikipedia.org/wiki/Deccan_Chargers

https://en.wikipedia.org/wiki/Deccan_Chargers

https://en.wikipedia.org/wiki/Sunrisers_Hyderabad

https://en.wikipedia.org/wiki/Sunrisers_Hyderabad

https://en.wikipedia.org/wiki/Royal_Challengers_Bangalore



https://en.wikipedia.org/wiki/Kings_XI_Punjab

https://en.wikipedia.org/wiki/Kings_XI_Punjab

https://en.wikipedia.org/wiki/Delhi_Capitals

https://en.wikipedia.org/wiki/Delhi_Capitals

https://en.wikipedia.org/wiki/Mumbai_Indians

https://en.wikipedia.org/wiki/Mumbai_Indians

https://en.wikipedia.org/wiki/Kolkata_Knight_Riders



https://en.wikipedia.org/wiki/Chennai_Super_Kings

https://en.wikipedia.org/wiki/Chennai_Super_Kings

https://en.wikipedia.org/wiki/Rajasthan_Royals

https://en.wikipedia.org/wiki/Rajasthan_Royals


Name of the Teacher/Item Writer: Designation: Vishal Mahajan, TGT Maths


mailto:[email protected]

THEME 04: BRAINSTORMING




Learning Outcomes: Use of Probability (Employ).Identify Outcomes of Experiment and Find favorable outcomes of an event. (Evaluate).Calculate Probability of different events. (Interpret & Formulate).

Perhaps the most exciting type of meeting for a company to hold, brainstorming or innovation meetings let creative energy flow. There are meetings where ideas, both good and bad, are formed, pitched, and rejected or built upon. Truly effective innovation meetings are often where an organization’s most successful projects are born.

Once the meeting begins and goals are laid out, pay attention to who participates and who is quiet. Make an effort to draw ideas out from everyone, and be sure to take great notes—the ideas may start flying too fast to remember them all!

A company for the launch of its new product is conducting a Brainstorming meeting. Of the 450 participants in the meeting, 240 are female and 1/4 of the female and 3/5 of the male participants are less than thirty years old.

Based upon the given information answer the following questions.

Question 1: What is the probability of selecting a male participant to inaugurate the meeting?

Question 2: If a team leader is to be selected from the participants. What is the probability of selecting a female team leader of age less than 30 years?

Question 3: If 4 more female participants of age less than 30 years and 5 more male participants of age more than 30 years joins the meeting.What is the probability of selecting a male participant of age less than 30 years to give vote of thanks?

Question 4: What is the probability of selecting a female participant of age more than 30 years to conclude the meeting?

‘BRAINSTORMING’ SCORING 1 Mathematical content QuantityItem format Short ResponseContext ScientificCognitive Processes Interpret and Formulate

Proficiency level 2



‘BRAINSTORMING’ SCORING 2 Mathematical content QuantityItem format Short ResponseContext ScientificCognitive Processes Interpret and FormulateProficiency level 4







Credit Pattern:Full Credit: 02Partial Credit: 00

Nil Credit: 00




THEME 05: Game Bluff




Learning Outcomes: Use of Probability (Employ).Identify Out comes of Experiment and Find favorable outcomes of an event. (Evaluate).Calculate Probability of different events. (Interpret & Formulate).

Bluff is a card game where the players aim to get rid of all of their cards. It is a game of deception, with cards being played face-down and players being permitted to lie about the cards they have played. Two Friends are playing a game of bluff, each player has to draw a card, view it and place the card face-down. Player calls out the name of the picked card which may be true or bluff. ( For example: Player draws an ace card of spade and names it king of spade. Here the player is bluffing). After each round card is placed back into the deck of cards. If the opponent player calls the bluff card’s name true, the opponent player gets 2 points. If an opponent skips the call of the player, the player gets 1 point.


Question 1: A card is drawn by player 1 from a well shuffled deck of 52 playing cards. He said, “It is a jack of heart”. Find the probability of him bluffing.

Question 2: A card is drawn by player 2 from a well shuffled deck of 52 playing cards. He said, “It is an ace”. Find the probability of him telling the card’s real name.

Question 3: A card is drawn by player 1 from a well shuffled deck of 52 playing cards. He said, “It is a face card”. Find the probability of him telling the card’s real name

Question 4: A card is drawn by player 2 from a well shuffled deck of 52 playing cards. He said, “It is a red queen”. Find the probability of him bluffing.

‘GAME BLUFF’ SCORING 1 Mathematical content QuantityItem format Short ResponseContext ScientificCognitive Processes Interpret and FormulateProficiency level 4














mailto:[email protected]

THEME 06 : SEX RATIO

Domain: Theme/Topic: Class: IX

Mathematical Literacy Probability Total Credits: 10Learning Outcomes:

1. Students will be able to use the concept of Probability. (Employ)2. Study of situation, validation of data and identify the favourable event out of total outcomes. (Interpretation and Formulation)3. Applying the chance of mathematics and concluding. (Evaluate)

The incidence of female foeticide in India is increasing day by day. This may be connected to the dowry system in India where dowry deaths occur when a girl is seen as a financial burden. In the year 1994, the Indian government has passed Pre Conception and Pre Natal Diagnostic Technique Act (PCPNDT) to ban prenatal sex screening and lower down the difference in sex ratio.

A survey was conducted to study the sex ratio in rural areas, in which about 1000 families with 3 children were surveyed and data collected was as given below:

No. of Girl child 0 1 2 3

No. of Families 185 375 325 115

Based upon above data answer the following questions:

1. Probability of at least one girl in the family.(a) 0.80 (b) 0.82 (c) 0.02 (d) 0.082

2. Probability of at least one boy in the family.(a) 0.09 (b) 0.82 (c) 0.89 (d) 0.69

3. Is the boy to girl ratio showing the inequality? If yes, what might be the reason?

4. What was the Act passed by the Indian government to ban prenatal sex screening and in which year?

5. If first child is boy, Find the probability of four members in a family if second child sex does not matters.(a) 0.65 (b) 0.80 (c) 0.56 (d) 0.02

‘SEX RATIO’ SCORING 1FRAMEWORK CHARACTERISTICSCompetency Cluster ConnectionsOverarching idea Change and relationshipsContext Scientific / SocietalItem format MCQCognitive process Interpret Evaluate and EmployProficiency Level 6

Credit Pattern:Full Credit: 02Partial Credit: NANil Credit: 00



‘SEX RATIO’ SCORING 3FRAMEWORK CHARACTERISTICSCompetency Cluster ConnectionsOverarching idea Change and relationshipsContext Scientific / SocietalItem format Short responseCognitive process Interpret Evaluate and EmployProficiency Level 6


‘SEX RATIO’ SCORING 4FRAMEWORK CHARACTERISTICSCompetency Cluster ConnectionsOverarching idea Change and relationshipsContext Scientific / SocietalItem format TextualCognitive process Interpret Evaluate and EmployProficiency Level 6




Description of Answer Key and Credits:Q1. Full credit: (b) 0.82 Nil credit: Other responses and missingQ2. Full credit: (c) 0.89 Nil credit: Other responses and missingQ3. Full credit: YES, Female foeticides Nil credit: Other responses and missing.Q4. Full credit: In the year 1994, the Indian government has passed Pre Conception and Pre Natal Diagnostic

Technique Act (PCPNDT). Partial credit: if related or incomplete answer Nil credit: Other responses and missing.Q5. Full credit: (b) 0.56

Nil credit: Other responses and missing.

Name of the Teacher/Item Writer: Designation: InduYadav,TGT,MathsEmail : [email protected] No.: 9999637457Name of the Vidyalaya: KVAGCR COLONYShift IKVS Region: Delhi

THEME 07: PREVENTION CORONAVIRUSESDomain: Theme/Topic: Class:IX

Mathematical Literacy Probability Total Credits:10Learning Outcomes:

1. Students will be able to Use the concept of Probability.(Employ)2. Study of situation, validation of data and identify the favourable event out of total outcomes. (Interpretation and formulation)3. Applying the chance of mathematics and concluding. (Evaluate)

In humans, several coronaviruses are known the most recently discovered coronavirus causes Coronavirus Disease (Covid-19). Sumit’s parents are quarantine in a school for 14 days in a one section school having classes 1 to 12. The Novel coronavirus (Covid-19) cases have been confirmed in many countries due to which the World Health Organisation (WHO) on 11.03.2020 has characterized Covid-19 as Pandemic(an epidemic occurring worldwide and usually affecting a large number of people).The most common diagnosis in severe Covid-19 patients is severe pneumonia. Although for most people Covid-19 causes only mild illness, it can make some people very ill. More rarely, the disease can be fatal. Older people and those with pre-existing medical conditions appear to be more vulnerable.

In a survey in July 2020 the percent share of Covid -19 deaths on the basis of age was found to be as given below:

Age (years) ≤14 15-29 30-44 45-59 60-74 ≥75

% Share in Covid -19 deaths 1 3 11 32 39 14


1. Probability of deaths in age group above 60 years.(a) 0.13 (b) 0.53 (c) 0.33 (d) 0.23

2. Probability of deaths in age group below 30 years.(a) 0.13 (b) 0.03 (c) 0.33 (d) 0.04

3. Define Pandemic. When was Covid-19 characterized as Pandemic?

4. 1 to 6 classes are already filled; Sumit’s father request is to allot him a two digit classroom. Find the chances for his request is accepted, condition to availability.(a) 0.13 (b) 0.5 (c) 0.33 (d) 0.63

5. Sumit’s mother requests authorities to allot her a prime no. class. What is the probability of her getting the same?(a) 0.13 (b) 0.03 (c) 0.33 (d) 0.23

‘PREVENTION CORONAVIRUSES’ SCORING 1FRAMEWORK CHARACTERISTICSCompetency Cluster ConnectionsOverarching idea Change and relationshipsContext Scientific / SocietalItem format MCQCognitive process Interpret Evaluate and EmployProficiency Level 6




‘PREVENTION CORONAVIRUSES’ SCORING 3FRAMEWORK CHARACTERISTICSCompetency Cluster ConnectionsOverarching idea Change and relationshipsContext Scientific / SocietalItem format DescriptiveCognitive process Interpret Evaluate and EmployProficiency Level 6






Description of Answer Key and Credits:

‘

Name of the Teacher/Item Writer: Designation: InduYadav, TGT(Maths)Email : [email protected] No.: 9999637457Name of the Vidyalaya: KVAGCR COLONY Shift IKVS Region: Delhi

Q1. Full credit: (b) 0.53 Nil credit: Other responses and missingQ2. Full credit: (d) 0.04 Nil credit: Other responses and missingQ3. Full credit: An epidemic occurring worldwide and usually affecting a large number of people. On

11.03.2020 Nil credit: Other responses and missingQ4. Full credit: (b) 0.5 Nil credit: Other responses and missingQ5. Full credit: (c) 0.33 Nil credit: Other responses and missing

THEME 08: THE LIFE CYCLE OF TYRE


Mathematical Literacy Probability Total Credits:10

Learning Outcomes:

1. Students will be able to Use the concept of Probability.(Employ)2. Study of situation, validation of data and identify the favourable event out of total outcomes. (Interpretation and formulation)3. Applying the chance of mathematics and concluding. (Evaluate)

Pollution from tyre wear can be thousand times worse than what comes out of a car’s exhaust. The government’s Air Quality Expert Group said particles from brake wear, tyre wear and road surface wear directly contribute to well over half of particle pollution from road transport. Fragments of micro plastics from tyres, road surfaces and brakes will also flow into rivers, and ultimately into the sea. Over 300 million tires are scrapped per year at a rate of 1.1 tire/person/year leading to landfill space, which is becoming more and more scarce as tires do not biodegrade but are 100% recyclable. The high quality of steel and rubber found in tires are easily reintegrated into the manufacturing process tyre is 43% rubber and rest steel.. The global implications of reducing waste tires are many such as improved socio-economic justice, reducing landfill, reducing carbon footprint and creating a safer society.

A survey was done for finding out the distance covered by a tyre before it is replaced.

Distance covered(km) >5000 5000-10,000 10,000-15,000 < 15,000

Frequency 40 420 650 890


1. What will be the probability of replacing the tyre before it has covered 5000km? (a) 0.04 (b) 0.03 (c) 0.02 (d) 0.01

2. What will be the probability of replacing the tyre after it covers the distance between 5000km to 15,000km?(a) 0.04 (b) 0.54 (c) 0.02 (d) 0.01

3. What are the causes of particle pollution from road transport?

4. Is tyre Biodegradable or Recyclable? Upto what percent?

5. What is the probability of reintegration of rubber and steel in manufacturing process?(a) 1.0 (b) 1.03 (c) 0.02 (d) 0.01

‘THE LIFE CYCLE OF TYRE’ SCORING 1FRAMEWORK CHARACTERISTICSCompetency Cluster ConnectionsOverarching idea Change and relationshipsContext Scientific / SocietalItem format MCQCognitive process Interpret Evaluate and EmployProficiency Level 6




‘THE LIFE CYCLE OF TYRE’ SCORING 3FRAMEWORK CHARACTERISTICSCompetency Cluster ConnectionsOverarching idea Change and relationshipsContext Scientific / SocietalItem format Short responseCognitive process TextualProficiency Level 3


‘THE LIFE CYCLE OF TYRE’ SCORING 4FRAMEWORK CHARACTERISTICSCompetency Cluster ConnectionsOverarching idea Change and relationshipsContext Scientific / SocietalItem format Short responseCognitive process UnderstandingProficiency Level 6





Q1. Full credit: (c) 0.02 Nil credit: Other irrelevant responses and missing Q2. Full credit: 0.54 Nil credit: Missing or any other response.Q3. Full credit: Particles from brake wear, tyre wear and road surface wear directly contribute to well

over half of particle pollution from road transport. Fragments of micro plastics from tyres, road surfaces and brakes will also flow into rivers, and ultimately into the sea.

Partial credit: Related answer Nil credit: Other responses and missing.Q4. Full credit: Tires do not biodegrade but are 100% recyclable Nil credit: Other responses and missingQ5. Full credit: 1 Nil credit: Other responses and missing

Name of the Teacher/Item Writer: Designation: InduYadav, TGT(Maths)Email : [email protected] No.: 9999637457Name of the Vidyalaya: KVAGCR COLONY Shift IKVS Region: Delhi

THEME 09: ROAD ACCIDENTS IN INDIA



Learning Outcomes:1. Students will be able to Use the concept of Probability.(Employ)2. Study of situation, validation of data and identify the favourable event out of total outcomes. (Interpretation and formulation)3. Applying the chance of mathematics and concluding. (Evaluate)

An analysis by India spend showed that road accidents in India cost about 3-5% of gross domestic product every year, and are avoidable if India could improve its roads and city planning, train its drivers better, and enforce traffic laws properly. On the basis of a data from Road Accidents in India 2018, the Ministry of Road Transport and Highways published a report which stated that India’s young, productive population, aged 18-45 years, is involved in 70% of road accidents. Some of the common behaviour of humans which results in accident are over speeding, drunken driving, distraction to drivers, red light jumping, avoiding safety gears (like seat belt ,helmet), non-adherence to lane driving and overtaking in wrong manner. The Indian Government recently updated the traffic rules in India with the Motor Vehicle (Amendment) Act 2019. The new traffic rules came into effect from 1st September 2019. We hope that the new rules will bring some order to the bad traffic conditions in most Indian metro cities. The stiff penalties will deter unruly drivers and riders from breaking traffic rules and ensure safety on the road for everyone.

An insurance company randomly selected 600 drivers and studied the relationship between age and the accidents. The data obtained was as follows

Age (years) < 18 18-25 25-35 35-45 45-60 ≥ 60 Age not known

Accidents (per year) 40 132 160 128 88 36 16


1. What will be the probability of having the accidents in one year in the age group 18-25?(a) 0.23 (b) 0.12 (c) 0.22 (d) 0.20

2. Probability of having accidents in the age group greater than or equal to 60.(a) 0.06 (b) 0.12 (c) 0.02 (d) 0.20

3. Probability of having accidents in the age group less than 18.(a) 0.63 (b) 0.03 (c) 0.22 (d) 0.26

4. What are the common behaviors of humans which cause accidents on roads?

5. The Indian government recently updated the traffic rules, when did the new traffic rules came into effect?

‘ROAD ACCIDENTS IN INDIA’ SCORING 1FRAMEWORK CHARACTERISTICSCompetency Cluster ConnectionsOverarching idea Change and relationshipsContext Scientific / SocietalItem format MCQCognitive process Interpret Evaluate and EmployProficiency Level 6






‘ROAD ACCIDENTS IN INDIA’ SCORING 4FRAMEWORK CHARACTERISTICSCompetency Cluster ConnectionsOverarching idea Change and relationshipsContext Scientific / SocietalItem format TextualCognitive process Interpret Evaluate and EmployProficiency Level 4


‘ROAD ACCIDENTS IN INDIA’ SCORING 5FRAMEWORK CHARACTERISTICSCompetency Cluster ConnectionsOverarching idea Change and relationshipsContext Scientific / SocietalItem format TextualCognitive process Interpret Evaluate and EmployProficiency Level 3



Q1. Full credit: (c) 0.22 Nil credit: Other responses and missing Q2. Full credit: (a) 0.06 Nil credit: Other responses and missingQ3. Full credit: (b) 0.03 Nil credit: Other responses and missingQ4. Full credit: Common behaviour of humans which results in accident are over speeding, drunken

driving, distraction to drivers, red light jumping, avoiding safety gears (like seat belt, helmet), non-adherence to lane driving and overtaking in wrong manner.

Partial credit: Other related answers Nil credit: Other responses and missingQ5. Full credit: The new traffic rules came into effect from 1st September 2019.

Nil credit: Other responses and missing.


Indu Yadav, TGT(Maths)

Email : [email protected] No.: 9999637457Name of the Vidyalaya: KV AGCR COLONY Shift IKVS Region: Delhi

THEME 10: GERMINATION OF SEEDS



Learning Outcomes:1. Students will be able to Use the concept of Probability.(Employ)2. Study of situation, validation of data and identify the favourable event out of total outcomes. (Interpretation and formulation)3. Applying the chance of mathematics and concluding. (Evaluate)

Germination is the process of seeds developing into new plants. Various environmental conditions trigger the seed to grow and is usually determined by how deep the seed is planted, water availability, and temperature. In the first step to germination, the water is drawn from the soil and absorbed by the seed, a process called imbibitions. The water activates special proteins, called enzymes, which begin the process of seed growth. First the seed grows a root to access water underground. Next, the shoots, or growth above ground, begin to appear. The seed sends a shoot towards the surface, where it will grow leaves to harvest energy from the sun. The leaves continue to grow towards the light source in a process called photo morphogenesis. All fully developed seeds contain an embryo and, in most plant species some store of food reserves, wrapped in a seed coat. Some plants produce varying numbers of seeds that lack embryos; these are empty seeds which never germinate. Dormant seeds are viable seeds that do not germinate because they require specific internal or environmental stimuli to resume growth.

To study the germination characteristics of an hybrid seed a seed germination laboratory randomly selected 100 seeds from each of the 5 bags of seeds, these seeds were standardized under favorable conditions of germination for 25 days and the data was maintained for the number of seeds which had germinated as follows:

Bag 1 2 3 4 5

No. of seeds germinated 80 96 84 78 82


1. Probability of germination of at least 90 seeds in a bag.(a) 3/15 (b) 2/15 (c) 4/15 (d) 1/5

2. Probability of germination of 99 seeds in a bag.(a) 1 (b) 2 (c) 0 (d) 15

3. Probability of germination of more than 72 seeds in a bag.

4. Define Imbibitions. What are the environmental conditions that trigger the growth of seeds?

5. What are dormant seeds?

‘GERMINATION OF SEEDS’ SCORING 1FRAMEWORK CHARACTERISTICSCompetency Cluster ConnectionsOverarching idea Change and relationshipsContext Scientific / SocietalItem format MCQCognitive process Interpret Evaluate and EmployProficiency Level 6


‘GERMINATION OF SEEDS’ SCORING 2FRAMEWORK CHARACTERISTICSCompetency Cluster ConnectionsOverarching idea Change and relationshipsContext Scientific / SocietalItem format MCQCognitive process Interpret Evaluate and EmployProficiency Level 6


‘GERMINATION OF SEEDS’ SCORING 3FRAMEWORK CHARACTERISTICSCompetency Cluster ConnectionsOverarching idea Change and relationshipsContext Scientific / SocietalItem format CalculateCognitive process Interpret Evaluate and EmployProficiency Level 6


‘GERMINATION OF SEEDS’SCORING 4FRAMEWORK CHARACTERISTICSCompetency Cluster ConnectionsOverarching idea Change and relationshipsContext Scientific / SocietalItem format descriptiveCognitive process Interpret Evaluate and EmployProficiency Level 6


‘GERMINATION OF SEEDS’SCORING 5FRAMEWORK CHARACTERISTICSCompetency Cluster ConnectionsOverarching idea Change and relationshipsContext Scientific / SocietalItem format UnderstandingCognitive process Interpret Evaluate and EmployProficiency Level 6



Q1. Full credit: (b) 2/15 Nil credit: Other responses and missing.Q2. Full credit: (c) 0 Nil credit: Other responses and missing..Q3. Full credit: 1 Nil credit: Other responses and missing.Q4. Full credit: In the first step to germination, the water is drawn from the soil and absorbed by the

seed, a process called imbibitions. Nil credit: Other responses and missing.Q5. Full credit: Dormant seeds are viable seeds that do not germinate because they require specific

internal or environmental stimuli to resume growth. Partial credit: Other related answers Nil credit: Other not related responses and missing

Name of the Teacher/Item Writer: Designation: Indu Yadav,TGT,MathsEmail : [email protected] No.: 9999637457Name of the Vidyalaya: KVAGCR COLONY Shift IKVS Region: Delhi

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