Updated On : February 13, 2024
Reader's Digest: Are you curious about what the CBSE Class 11 Numerical Applications Syllabus has in store for you? Dive into this article to uncover all the details. Don't miss out on this essential information!
Have you ever considered how mathematics beautifully intertwines with our everyday lives? Whether deciding on the best route to reach a destination or calculating the quickest way to complete a task, numerical analysis often comes into play.
This integral branch of mathematics is not just about crunching numbers but understanding how they can provide practical solutions to real-world problems. The Numerical Applications topic serves as a cornerstone for students diving into CBSE Class 11 Applied Mathematics.
Holding significant weightage in the examination, mastering this chapter is crucial. In this guide, we will unveil the intricacies of this fascinating topic, break down its syllabus, and provide invaluable tips to ensure you excel in this subject.
Key Contents:
Introduction to CBSE Class 11 Numerical Applications
Understanding Numerical Applications
Detailed Syllabus Breakdown
Preparation Tips for Numerical Applications
Sample Important Questions
Numerical Applications in CBSE Class 11 Applied Mathematics dives deep into the world of algorithms and approximation methods used to solve mathematical problems. Before we delve into the core concepts, it's essential to understand the broader context.
In the realm of mathematics, "quantification" serves as a foundation. It refers to the process of counting and translating observations into numerical quantities. Think of quantification as the backbone of disciplines such as economics and psychology. Here's why:
Economics: Economists rely heavily on data to make predictions, set policies, or even understand market trends. This data is predominantly collected through observations — for instance, monitoring the rise and fall of stock prices or tracking consumer spending patterns. Once this data is gathered, quantification transforms these observations into actionable numbers, allowing for detailed analysis.
Psychology: Similarly, psychologists use experimentation to understand human behavior, emotions, or cognitive functions. They might monitor a group of individuals' reactions to certain stimuli or analyze the results of a specific cognitive test. Quantification in psychology means converting these experimental results into data points that can be further analyzed to derive meaningful conclusions.
Now, where does Numerical Applications fit in? While quantification is about gathering and converting data, Numerical Applications goes a step further. It involves studying algorithms — a set of rules or procedures for calculations — to approximate solutions to these mathematical problems. Instead of seeking exact answers, which might not always be feasible, Numerical Applications focuses on finding the closest, most accurate approximation.
The real-world implications of Numerical Applications are vast. Fields as diverse as life sciences, social sciences, medicine, and business often use its methods. Even the arts, which traditionally might seem far removed from mathematics, have incorporated elements of numerical analysis. For instance, artists might use algorithms to create digital art, or musicians might apply mathematical models to compose intricate pieces.
Numerical Applications is an integral component of UNIT – 1: NUMBERS, QUANTIFICATION AND NUMERICAL APPLICATIONS in the Applied Mathematics curriculum. This unit empowers students to develop essential skills for understanding and solving practical problems. Below is a detailed breakdown of the Numerical Applications section:
Read More: CBSE Class 11 Applied Mathematics Syllabus
Numerical Applications is not just about memorizing formulas or processes; it’s about understanding concepts and developing problem-solving skills. While many students find this topic approachable and scoring, the key lies in the methodology adopted during preparation.
Let's understand how you can optimize your preparation strategy for Numerical Applications.
1. Familiarize Yourself with the Syllabus and Exam Pattern:
2. Select the Right Study Materials:
3. Note-making is Your Best Friend:
4. Design a Structured Study Schedule:
5. Deep Dive into Concepts:
6. Practice, Practice, Practice:
7. Evaluate with Sample Papers:
8. Mock Tests for the Win:
Read More: CBSE Class 11 Applied Math Books
You can better understand the importance of numerical methods by reviewing these daily life problems which are solved using numerical application concepts.
Read More: CBSE Class 11 Applied Maths Coordinate Geometry
To ease out your preparation, we have provided topic-wise important questions for class 11 Applied Maths Numerical Applications in the post below.
Question 1
Convert the following to logarithmic form: (i) (10)4 = 10000 (ii) 3-5 = x (iii) (0.3)3 = 0.027.
Question 2
Find the value of the following (by converting to exponential form): (i) log216 (ii) log162 (iii) log3 1 3 (iv) log√2 8 (v) log5 (0.008).
Question 3
Evaluate: 3 + log10 (10-2 )
Question 1
A vessel is in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is 14 cm and the total height of the vessel is 13 cm. Find the inner surface area of the vessel.
(a)308 (b) 572 (c) 264 (d) 1154
Question 2
A cubic meter of copper weighing 2500 kilograms is rolled into a square bar 25 meters long. An exact cube is cut off from the bar. How much does it weigh?
(a) 25 kg (b) 20 kg (c) 18 kg (d) Data inadequate
Question 3
A metallic sphere of a radius of 21 cm is dropped into a cylindrical vessel, which is partially filled with water. The diameter of the vessel is 1.68 meters. If the sphere is completely submerged, find by how much the surface of the water will rise.
(a) 1.75 cm (b) 2 cm (c) 2.25 cm (d) 1.25 cm
Question 1
A man covers X km in t hours at S km/hr; another man covers X/2 km in 2t hours at R km/hr. Then the ratio S:R equals
(a) 4:1 (b) 2:1 (c) 1:4 (d) 1:2
Question 2
A car starts at 10 am with a speed of 50 km/hr. Due to the in-engine, it reduces its speed to 10 km/hr for every 2 hours. After 11 am, the time taken to covers 10 km is:
(a) 12 minutes and 10 seconds (b) 15 minutes and 09 seconds (c) 13 minutes and 20 seconds (d) None of these
Question 3
A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is:
(a) 33.55 (b) 36 (c) 71.11 (d) 71
Question 1
12 buckets of water fill a tank when the capacity of each bucket is 13.5 liters. How many buckets will be needed to fill the same tank, if the capacity of each bucket is 9 liters?
(a) 18 (b) 15 (c) 10 (d) 6
Question 2
A, B and C contract a work for Rs. 9500. A and B working together finish 13/19th of the work. Find the share of C.
(a) Rs. 3000 (b) Rs. 3200 (c) Rs. 3300 (d) Rs. 3900
Question 3
During the time of summer vacations, 40 rooms of a school were given to be painted on contract in 2 weeks time to 30 painters. However, only 20 workers come for work. How many weeks will they take to complete the work?
(a) 4 weeks (b) 3 weeks (c) 2 weeks and 5 days (d) 3 weeks and 1 day
Read More: CBSE Class 11 Applied Maths Probability
Frequently Asked Questions
What is the use of CBSE class 12th Applied maths numerical applications?
How to prepare for CBSE Class 11th Applied Mathematics Numerical Application Unit?
How to download CBSE Class 11 Applied Maths Numerical Applications Study Material PDF?
How is the CBSE class 11th applied maths Numerical Applications useful for commerce and humanities students?
What is the difference between core math and applied math?
Can a student opt for both core math and applied maths?
February 13, 2024
Reader's Digest: Are you curious about what the CBSE Class 11 Numerical Applications Syllabus has in store for you? Dive into this article to uncover all the details. Don't miss out on this essential information!
Have you ever considered how mathematics beautifully intertwines with our everyday lives? Whether deciding on the best route to reach a destination or calculating the quickest way to complete a task, numerical analysis often comes into play.
This integral branch of mathematics is not just about crunching numbers but understanding how they can provide practical solutions to real-world problems. The Numerical Applications topic serves as a cornerstone for students diving into CBSE Class 11 Applied Mathematics.
Holding significant weightage in the examination, mastering this chapter is crucial. In this guide, we will unveil the intricacies of this fascinating topic, break down its syllabus, and provide invaluable tips to ensure you excel in this subject.
Key Contents:
Introduction to CBSE Class 11 Numerical Applications
Understanding Numerical Applications
Detailed Syllabus Breakdown
Preparation Tips for Numerical Applications
Sample Important Questions
Numerical Applications in CBSE Class 11 Applied Mathematics dives deep into the world of algorithms and approximation methods used to solve mathematical problems. Before we delve into the core concepts, it's essential to understand the broader context.
In the realm of mathematics, "quantification" serves as a foundation. It refers to the process of counting and translating observations into numerical quantities. Think of quantification as the backbone of disciplines such as economics and psychology. Here's why:
Economics: Economists rely heavily on data to make predictions, set policies, or even understand market trends. This data is predominantly collected through observations — for instance, monitoring the rise and fall of stock prices or tracking consumer spending patterns. Once this data is gathered, quantification transforms these observations into actionable numbers, allowing for detailed analysis.
Psychology: Similarly, psychologists use experimentation to understand human behavior, emotions, or cognitive functions. They might monitor a group of individuals' reactions to certain stimuli or analyze the results of a specific cognitive test. Quantification in psychology means converting these experimental results into data points that can be further analyzed to derive meaningful conclusions.
Now, where does Numerical Applications fit in? While quantification is about gathering and converting data, Numerical Applications goes a step further. It involves studying algorithms — a set of rules or procedures for calculations — to approximate solutions to these mathematical problems. Instead of seeking exact answers, which might not always be feasible, Numerical Applications focuses on finding the closest, most accurate approximation.
The real-world implications of Numerical Applications are vast. Fields as diverse as life sciences, social sciences, medicine, and business often use its methods. Even the arts, which traditionally might seem far removed from mathematics, have incorporated elements of numerical analysis. For instance, artists might use algorithms to create digital art, or musicians might apply mathematical models to compose intricate pieces.
Numerical Applications is an integral component of UNIT – 1: NUMBERS, QUANTIFICATION AND NUMERICAL APPLICATIONS in the Applied Mathematics curriculum. This unit empowers students to develop essential skills for understanding and solving practical problems. Below is a detailed breakdown of the Numerical Applications section:
Read More: CBSE Class 11 Applied Mathematics Syllabus
Numerical Applications is not just about memorizing formulas or processes; it’s about understanding concepts and developing problem-solving skills. While many students find this topic approachable and scoring, the key lies in the methodology adopted during preparation.
Let's understand how you can optimize your preparation strategy for Numerical Applications.
1. Familiarize Yourself with the Syllabus and Exam Pattern:
2. Select the Right Study Materials:
3. Note-making is Your Best Friend:
4. Design a Structured Study Schedule:
5. Deep Dive into Concepts:
6. Practice, Practice, Practice:
7. Evaluate with Sample Papers:
8. Mock Tests for the Win:
Read More: CBSE Class 11 Applied Math Books
You can better understand the importance of numerical methods by reviewing these daily life problems which are solved using numerical application concepts.
Read More: CBSE Class 11 Applied Maths Coordinate Geometry
To ease out your preparation, we have provided topic-wise important questions for class 11 Applied Maths Numerical Applications in the post below.
Question 1
Convert the following to logarithmic form: (i) (10)4 = 10000 (ii) 3-5 = x (iii) (0.3)3 = 0.027.
Question 2
Find the value of the following (by converting to exponential form): (i) log216 (ii) log162 (iii) log3 1 3 (iv) log√2 8 (v) log5 (0.008).
Question 3
Evaluate: 3 + log10 (10-2 )
Question 1
A vessel is in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is 14 cm and the total height of the vessel is 13 cm. Find the inner surface area of the vessel.
(a)308 (b) 572 (c) 264 (d) 1154
Question 2
A cubic meter of copper weighing 2500 kilograms is rolled into a square bar 25 meters long. An exact cube is cut off from the bar. How much does it weigh?
(a) 25 kg (b) 20 kg (c) 18 kg (d) Data inadequate
Question 3
A metallic sphere of a radius of 21 cm is dropped into a cylindrical vessel, which is partially filled with water. The diameter of the vessel is 1.68 meters. If the sphere is completely submerged, find by how much the surface of the water will rise.
(a) 1.75 cm (b) 2 cm (c) 2.25 cm (d) 1.25 cm
Question 1
A man covers X km in t hours at S km/hr; another man covers X/2 km in 2t hours at R km/hr. Then the ratio S:R equals
(a) 4:1 (b) 2:1 (c) 1:4 (d) 1:2
Question 2
A car starts at 10 am with a speed of 50 km/hr. Due to the in-engine, it reduces its speed to 10 km/hr for every 2 hours. After 11 am, the time taken to covers 10 km is:
(a) 12 minutes and 10 seconds (b) 15 minutes and 09 seconds (c) 13 minutes and 20 seconds (d) None of these
Question 3
A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is:
(a) 33.55 (b) 36 (c) 71.11 (d) 71
Question 1
12 buckets of water fill a tank when the capacity of each bucket is 13.5 liters. How many buckets will be needed to fill the same tank, if the capacity of each bucket is 9 liters?
(a) 18 (b) 15 (c) 10 (d) 6
Question 2
A, B and C contract a work for Rs. 9500. A and B working together finish 13/19th of the work. Find the share of C.
(a) Rs. 3000 (b) Rs. 3200 (c) Rs. 3300 (d) Rs. 3900
Question 3
During the time of summer vacations, 40 rooms of a school were given to be painted on contract in 2 weeks time to 30 painters. However, only 20 workers come for work. How many weeks will they take to complete the work?
(a) 4 weeks (b) 3 weeks (c) 2 weeks and 5 days (d) 3 weeks and 1 day
Read More: CBSE Class 11 Applied Maths Probability
Frequently Asked Questions
What is the use of CBSE class 12th Applied maths numerical applications?
How to prepare for CBSE Class 11th Applied Mathematics Numerical Application Unit?
How to download CBSE Class 11 Applied Maths Numerical Applications Study Material PDF?
How is the CBSE class 11th applied maths Numerical Applications useful for commerce and humanities students?
What is the difference between core math and applied math?
Can a student opt for both core math and applied maths?