Numerical analysis is a field of mathematics that analyses and develops algorithms for obtaining numerical solutions to problems containing continuous variables. Numerical applications is one of the chapters in CBSE Class 11 Applied Mathematics Syllabus. 

Numerical applications topic holds a weightage of 09 marks out of 80 marks in the theory exam. This post takes you through the complete details regarding CBSE Class 11 Numerical applications.

What is CBSE Class 11 Applied Maths Numerical Applications?

In mathematics, quantification is the act of counting and measuring observations into quantities. Quantification is an integral part of economics and psychology. Both disciplines gather data, In economics, data is gathered by observation and in psychology by experimentation and both uses statistical techniques such as regression analysis to draw conclusions from it.

Whereas Numerical applications is the study of algorithms that use an approximation method for the problems of mathematical analysis. Numerical analysis naturally finds application in life sciences, social sciences, medicine, business, and even the arts have adopted its elements.

CBSE Class 11 Applied Mathematics covers the basics of numerical applications consisting of averages, time & work, time, speed & distance, mensuration, average problems, etc. 

CBSE Class 11 Applied Maths

CBSE Class 11 Applied Maths

CBSE Class 11 Applied Maths Numerical Application Syllabus

The syllabus allows you to understand the objectives of the course and to help you learn efficiently and plan the assessment effectively. Go through the topic-wise Applied Mathematics Numerical Applications Syllabus listed below:

  • Prime Numbers, Encryptions using Prime Numbers
  • Binary Numbers
  • Complex Numbers (Preliminary idea only)
  • Indices, Logarithm and Antilogarithm
  • Laws and properties of logarithms
  • Simple applications of logarithm and antilogarithm
  • Numerical problems on averages, calendar, clock, time, work and distance, mensuration, seating arrangement 

CBSE Class 11 Applied Maths Numerical Application Preparation Tips

Numerical Applications is an easy and scoring topic if studied with the correct approach and methodology. You can refer to the below-mentioned preparation tips to become more confident, and successful in Numerical Applications

  • First of all, take a thorough look at the detailed syllabus and exam pattern. 
  • It is important for the students to refer to the best books to excel in class 11 Applied Maths.
  • Make sure you make notes which include important points during your study as this will help during the revision period.
  • Develop an effective and time-efficient schedule for practicing problems regularly.
  • Go through with the conceptual meaning of the definition and then start practicing questions of statistics.
  • Attempt solved examples and then solve the exercise questions to evaluate your knowledge about the concept.
  • After studying all the subjects according to the latest syllabus and exam pattern, start your evaluation during which you need to solve the CBSE Sample Papers.
  • Take up Class 11 Applied Maths Mock Tests to test your preparation levels.

CBSE Class 11 Applied Maths Numerical Applications Important Questions

You can better understand the importance of numerical methods by reviewing these daily life problems which are solved using numerical application concepts.

  • If 4 taps can fill a tank in 10 hours, then in how many hours can 6 taps fill the same tank? 
  • In a family, the consumption of power is 120 units for 18 days. Find how many units of power is consumed in 30 days.
  • Walking at the rate of 4kmph a man covers a certain distance in 2hr 45 min. Running at a speed of 16.5 kmph the man will cover the same distance in how many hours?

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 )

Logarithms Important Questions PDF


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

Mensuration Important Questions PDF

Time, Speed, Distance

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

Time, Speed, Distance Important Questions PDF

Time and Work

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

Time & work Important Questions PDF


What is the use of CBSE class 12th Applied maths numerical applications?

CBSE class 12th Mathematics numerical applications unit holds a weightage of nine marks and consists of algorithms that use an approximation method for the problems of mathematical analysis.

How to prepare for CBSE Class 11th Applied Mathematics Numerical Application Unit?

Numerical applications is simple and interesting if learned with the right approach and technique. First, go through the definitions, then try to solve examples, and after that practice unsolved exercise questions to excel in Numerical Applications.

How to download CBSE Class 11 Applied Maths Numerical Applications Study Material PDF?

Candidates can download the CBSE Class 11 Applied Maths Numerical Applications Study Material PDF and applied maths Numerical Applications notes class 11 pdf directly by clicking on the download links mentioned above.

How is the CBSE class 11th applied maths Numerical Applications useful for commerce and humanities students?

CBSE Class 12 Applied Maths Numerical Applications curriculum consists of data-based case studies from the field of business, economics, psychology, biology which is useful in higher studies.

What is the difference between core math and applied math?

Current mathematics for high school is a course tailored for students to study pure mathematics / physical science / engineering at university level. Whereas applied mathematics consists of application-based subjects, the topics discussed in the programme would encourage students to use mathematical knowledge in the fields of business, economic and social sciences.

Can a student opt for both core math and applied maths?

No. Students will have the option of opting one of them, science students should opt for core mathematics, while commerce and humanities students should opt for applied mathematics, as the subjects covered in the applied mathematics programme will allow students to use mathematical knowledge in business, economic and social sciences.