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7th class > Integers > Extra Curriculum Support

Extra Curriculum Support

Enhanced Curriculum Support

This is a comprehensive educational resource designed to provide students with the tools and guidance necessary to excel. This support system is structured to cater to various aspects of learning, ensuring that students are well-prepared for academic challenges and practical applications of mathematical concepts. Some are the key benefits are mentioned below:

1.Comprehensive Learning: This holistic approach helps students gain a thorough understanding of the subject. Practical Application: The resources encourage students to apply mathematical concepts to real-life scenarios, enhancing their practical understanding and problem-solving skills.

2.Critical Thinking and Reasoning: Value-Based and HOTS questions promote critical thinking and reasoning abilities. These skills are crucial for students to tackle complex problems and make informed decisions.

3.Exam Preparedness: Sample Question Papers and NCERT Exemplar Solutions provide ample practice for exams. They help students familiarize themselves with the exam format and types of questions, reducing exam anxiety.

4.Ethical and Moral Development: Value-Based Questions integrate ethical and moral lessons into the learning process, helping in the overall development of students' character and social responsibility. By incorporating these diverse elements, Enhanced Curriculum Support aims to provide a robust and well-rounded knowledge, preparing students for both academic success and real-world challenges.

About the Section

SecA

1. If there is a discount of 40% on an article costing Rs 7000, then the priceafter discount is.

A. Rs 4500

B. Rs 4200

C. Rs 4400

D. Rs 4600

2.Write five pair of integers (m, n ) such that m ÷ n = -3. One of such pair is (-6, 2).

3.The integer -2 - (-5) can also be written as A. -2 + (-5) B. -2 + 5 C. 2 – 5 D. 2 + 5

SecB

1. How many feet long strips of ribbon can be cut from a ribbon that is feet long?

2.Solve the following equations 3x+5=11

SecC

1.A submarine starts at 50 meters below sea level, ascends 20 meters, and then descends 35 meters. What is its final depth relative to sea level?

2.Sumitra has Rs 34 in denominations of 50 paisa and 25 paisa coins. If the number of 25 paisa coins is twice the number of 50 paisa coins, then how many coins of each type does she has in all?

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Problem 1

1.Community Project Fundraising.

Your class is raising funds for a community project. On the first day, you raised ₹250, but on the second day, you had to spend ₹150 on supplies. Write an integer to represent the total amount of money raised so far. Explain why it is important to keep track of both positive and negative amounts in fundraising.

Problem 2

2.Weather Monitoring.

The temperature in your city was recorded as 10°C in the morning. By evening, it dropped by 7°C. Represent the evening temperature as an integer and discuss why monitoring temperature changes is important for weather forecasting and daily planning.

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Q1

1.In a quiz, positive marks are given for correct answers and negative marks are given for incorrect answers. If Jack’s scores in five successive rounds were 25, -5, -10, 15 and 10, what was his total at the end?

Q2

2.At Srinagar temperature was -5°C on Monday and then it dropped by 2°C on Tuesday. What was the temperature of Srinagar on Tuesday? On Wednesday, it rose by 4°C. What was the temperature on this day?

Q3

3.Mohan deposits ₹ 2,000 in a bank account and withdraws ₹ 1,642 from it, the next day. If withdrawal of amount from the account is represented by a negative integer, then how will you represent the amount deposited? Find the balance in Mohan’s account after the withdrawal.

Q4

4.Fill in the blanks to make the following statements true:

(i) (-5) + (-8) = (-8) + (…)

(ii) -53 + … = -53

(iii) 17 + … = 0

(iv) [13 + (-12)] + (…) = 13 + [(-12) + (-7)]

(v) (-4) + [15 + (-3)] = [-4 + 15] + …

Q5

5.An elevator descends into a nine shaft at the rate of 6 m/min. If the descent starts from 10 m above the ground level, how long will it take to reach -350 m.

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Q

1.Madhre is standing in the middle of a bridge which is 20 m above the water level of a river. If a 35 m deep river is flowing under the bridge, then the vertical distance between the foot of Madhre and bottom level of the river is.

(a) 55 m (b) 35 m (c) 20 m (d) 15 m

2.[(– 10) × (+ 9)] + ( – 10) is equal to

(a) 100 (b) –100 (c) – 80 (d) 80

3.–16 ÷ [8 ÷ (–2)] is equal to

(a) –1 (b) 1 (c) 4 (d) –4

Fill in the blanks to make the statement True.

4.(– 25) × 30 = – 30 × ?.

5.75 ÷ ? = -75.

6.(–5) × (–7) is same as (–7) × (–5).

7.(– 80) ÷ (4) is not same as 80 ÷ (–4).

8.Find the odd one out* of the four options in the following:

9.Find the odd one out of the four options given below.

(a) (–3, –6) (b) (+1, –10) (c) (–2, –7) (d) (–4, –9)

10.Write a pair of integers whose sum is zero (0) but difference is 10.

11.Match the integer in Column I to an integer in Column II so that the sum is between –11 and – 4.

Column IColumn II
(a)-6(i)-11
(b)+1(ii)-5
(c)+7(iii)+1
(d)-2(iv)-13
-6
+1
+7
-2
-11
-5
+1
-13

12. Social Studies Application: Remembering that 1AD came immediately after 1BC, while solving these problems take 1BC as –1 and 1AD as +1.

(a) The Greeco-Roman era, when Greece and Rome ruled Egypt started in the year 330 BC and ended in the year 395 AD. How long did this era last?

If the starting year = 330 BC, then this means it is equal to (-330)AD.
We have given the ending year = 395 AD.
The era lasted for = 395 - (-330) = years.

(b) Bhaskaracharya was born in the year 1114 AD and died in the year 1185 AD. What was his age when he died?

Birth year: 1114 AD,Death year: 1185 AD.
To find his age, we subtract the birth year from the death year.
1185−1114= years.

(c) Turks ruled Egypt in the year 1517 AD and Queen Nefertis ruled Egypt about 2900 years before the Turks ruled. In what year did she rule?

Turks ruled Egypt in 1517 AD.
Queen Nefertis ruled about 2900 years before the Turks:1517 − 2900 = −.
1383 corresponds to 1383 BC.

(d) Greek mathematician Archimedes lived between 287 BC and 212 BC and Aristotle lived between 380 BC and 322 BC. Who lived during an earlier period?

Archimedes' Period: Start year: 287 BC,End year: 212 BC.Archimedes lived from -287 to -212.
Aristotle: Lived from -380 to -322.
Aristotle's Period:Start year: 380 BC,End year: 322 BC.Aristotle lived from -380 to -322.
Archimedes: Lived from -287 to -212.
Aristotle lived earlier because -380 is less than -287 .

13.Match the following.

ax1
1
(-a)÷(-b)
a x (-1)
a x 0
(-a)÷b
0
a÷(-a)
-a
Additive inverse of a
Additive identity
Multiplicative identity
a ÷ ( – b)
a ÷ b
a
– a
0
1

About the Section

Q1

1.Rahul and his friends went on a mountain hiking trip. The hike involved various ascents and descents. Below is a record of their movements during the hike.

A.Monday: They started from the base camp at an elevation of 0 meters. They ascended 150 meters.

B.Tuesday: They descended 80 meters.

C.Wednesday: They ascended 120 meters.

D.Thursday: They descended 100 meters.

E.Friday: They ascended 200 meters.

Q2

Questions :

1.What is their elevation at the end of Friday?

2.On which day did they have the highest elevation, and what was it?

3.If they wanted to return to the base camp (0 meters) from their elevation at the end of Friday, how many meters would they need to descend?

4.If they ascended 50 meters every day after Friday for the next three days, what would their final elevation be?

5.Compare the elevation change on Tuesday and Thursday. On which day did they descend more, and by how much?