CBSE Class 3 Maths Syllabus for the 2023-2024 Examination
Class 3 Maths Syllabus comprises various fundamental skills that are essential for your child’s Maths learning. Maths is a very important subject, vital for academics as well as in real life. CBSE Class 3 Maths Syllabus will work on your child’s Mathematics conception of dimensions, puzzles, patterns, shapes, and measurements. CBSE syllabus for Class 3 maths will offer the students a bit of complicated mathematical problems from single-digit addition or subtraction. The entire syllabus will prepare students and acquire them all the information required for the syllabus in every standard.
Q.
Fill in the blanks
(a) The volume of a cube of side 1 cm is equal to .....m3.
(b) The surface area of a solid cylinder of radius 2.0 cm and height 10.0 cm is equal to ...(mm)2.
(c) A vehicle moving with a speed of 18 kmh–1 covers....m in 1 s.
(d) The relative density of lead is 11.3. Its density is ....gcm–3 or ....kgm–3.
Q.
The unit of length convenient on the atomic scale is known as an angstrom and is denoted by Å: 1 Å = 10–10 m. The size of a hydrogen atom is about 0.5 Å. What is the total atomic volume in m3 of a mole of hydrogen atoms?
Q.
The principle of ‘parallax’ in section 2.3.1 is used in the determination of distances of very distant stars. The baseline AB is the line joining the Earth’s two locations six months apart in its orbit around the Sun. That is, the baseline is about the diameter of the Earth’s orbit ≈ 3 × 1011 m. However, even the nearest stars are so distant that with such a long baseline, they show parallax only of the order of 1’’ (second) of arc or so. A parsec is a convenient unit of length on the astronomical scale. It is the distance of an object that will show a parallax of 1’’ (second of arc) from opposite ends of a baseline equal to the distance from the Earth to the Sun. How much is a parsec in terms of metres?
Q.
Explain this common observation clearly. If you look out of the window of a fast moving train, the nearby trees, houses etc. seem to move rapidly in a direction opposite to the train’s motion, but the distant objects (hill tops, the moon, the stars etc.) seem to be stationary.
Q.
One mole of an ideal gas at standard temperature and pressure occupies 22.4 L (molar volume). What is the ratio of molar volume to the atomic volume of a mole of hydrogen? (Take the size of hydrogen molecule to be about 1 Å). Why is this ratio so large?
Q.
A famous relation in physics relates ‘moving mass’ m to the ‘rest mass’ mo of a particle in terms of its speed v and the speed of light, c. (This relation first arose as a consequence of special relativity due to Albert Einstein). A boy recalls the relation almost correctly but forgets where to put the constant c. He writes :
Q.
A book with many printing errors contains four different formulae for the displacement y of a particle undergoing a certain periodic motion:
(a = maximum displacement of particle, v = speed of particle, T = time-period of motion). Rule out the wrong formulae on dimensional grounds.
Q.
A physical quantity P is related to four observables a, b, c and d as follows:
The percentage errors of measurement in a, b, c and d are 1%, 3%, 4% and 2% respectively. What is the percentage error is the quantity P? If the value of P calculated using the above relation turns out to be 3.763, to what value should you round off the result?
Q.
The mass of a box measured by a grocer’s balance is 2.30 kg. Two gold pieces of masses 20.15 g and 20.17 g are added to the box. What is (a) the total mass of the box, (b) the difference in the masses of the pieces to correct significant figures?
Q.
The length, breadth and thickness of a rectangular sheet of metal are 4.234 m, 1.005 m and 2.01 cm respectively. Give the area and volume of the sheet to correct significant figures.
Q.
Fill in the blanks by suitable conversion of units
(a) 1 kgm2s–2 = ....gcm2s–2
(b) 1 m = ..... ly
(c) 3.0 ms–2 = .... kmh–2
(d) G = 6.67 × 10–11 Nm2(kg)–2 = .... (cm)3 s–2g–1
Q.
State the number of significant figures in the following:
(a) 0.007 m2
(b) 2.64 × 1024 kg
(c) 0.2370 gcm-3
(d) 6.320 J
(e) 6.032 Nm-2
(f) 0.0006032 m2
Q.
The photograph of a house occupies an area of 1.75 cm2 on a 35 mm slide. The slide is projected on to a screen, and the area of the house on the screen is 1.55 m2. What is the linear magnification of the projector-screen arrangement?
Q.
Answer the following :
(a) You are given a thread and a metre scale. How will you estimate the diameter of the thread?
(b) A screw gauge has a pitch of 1.0 mm and 200 divisions on the circular scale. Do you think it is possible to increase the accuracy of the screw gauge arbitrarily by increasing the number of divisions on the circular scale?
(c) The mean diameter of a thin brass rod is to be measured by vernier callipers. Why is a set of 100 measurements of the diameter expected to yield a more reliable estimate than a set of 5 measurements only?
Q.
A student measures the thickness of a human hair by looking at it through a microscope of magnification 100. He makes 20 observations and finds that the average width of the hair in the field of view of the microscope is 3.5 mm. What is the estimate on the thickness of hair?
Q.
Which of the following is the most precise device for measuring length :
(a) a vernier calipers with 20 divisions on the sliding scale
(b) a screw gauge of pitch 1mm and 100 divisions on the circular scale
(c) an optical instrument that can measure length to within a wavelength of light?
Q.
A new unit of length is chosen such that the speed of light in vacuum is unity. What is the distance between the sun and the earth in terms of the new unit of light takes 8 min and 20 s to cover this distance?
Q.
Explain this statement clearly:
“To call a dimensional quantity ‘large’ or ‘small’ is meaningless without specifying a standard for comparison”. In view of this, reframe the following statements wherever necessary:
a. atoms are very small objects
b. a jet plane moves with great speed
c. the mass of Jupiter is very large
d. the air inside this room contains a large number of molecules
e. a proton is much more massive than an electron
f. the speed of sound is much smaller than the speed of light.
Q.
A calorie is a unit of heat (energy in transit) and it equals about 4.2 J where 1 J = 1 kgm2 s–2. Suppose we employ a system of units in which the unit of mass equals α kg, the unit of length equals β m, the unit of time is γ s. Show that a calorie has a magnitude 4.2 α–1β–2γ2 in terms of the new units.
Q.
The nearest star to our solar system is 4.29 light years away. How much is the distance in terms of parsec? How much parallax would this star (named Alpha Centauri) show when viewed from two locations of the Earth six months apart in its orbit around the Sun?
Mathematics helps students to improve their logical and reasoning skills. The syllabus of Maths is based on the following CBSE guidelines. This year students will learn how to understand word problems, how computation methods are applied, and how to interpret them in different scenarios. Our website will provide the CBSE Class 3 Maths Syllabus pdf download You can download it from our official website.
Class 3 Maths Syllabus for Other Subjects
CBSE Class 3 Syllabus
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3rd Class Maths Syllabus
The CBSE syllabus for Maths offers a reliable and factual learning scope for the students so that they can understand each chapter properly. The students will be introduced to more complicated problems. and will be presented with the central ideas about the chapters and help you answer each question better and more accurately.
The updated CBSE syllabus for Class 3 Maths will challenge students to incorporate cross-reference in their problems. Eventually, this involvement will not only make them score better but will also help them to build a better understanding of the subject.
The syllabus is comprised of seven major topics which will be introduced to their curriculum. This syllabus will help them to understand basic mathematical concepts. The topics are related to shapes, numbers, addition, subtraction, and more. Here we have offered an outline of the syllabus and its topics.
Geometry
- Recognizing two-dimensional and three-dimensional shapes
- Introduction to lines, line segments, ray polygons, and circles
- Understanding scaled pictograph
Arithmetic
- Parity, Ordinality, and Roman Numerals Place value of ones, tens, and hundreds
- Performing addition and subtraction of four-digit numbers
- Addition and Subtraction of 4-digit Numbers
- Fractions, Division, and Multiplication of numbers
Money
- Identifying common currency notes and coins
- Putting together small amounts of money
Measurement
- Measurement of Length: Estimating and comparing the length of objects, Distinguishing between near, far, thin, thick, longer/taller, shorter, high, and low. Measuring short lengths in terms of non-uniform units
- Measurement of Weight: Understanding units of weight, Comparing heavy and light objects.
- Measurement of Capacity
- Comparing weight and capacity
Time
- Distinguishing events happening at different times using terms like earlier/later
- Understanding the qualitative feel of long & short duration, of school days v/s holidays
Pattern
- Recognizing, repeating, and growing patterns
- Finding the next shape in a pattern
- Completing a repeating pattern
- Generating a repeating pattern
- Finding the next row in a growing pattern
Data handling
The students will be taught to collect, represent, and interpret simple data like measuring the arm length or circumference of the head or foot using paper.
The entire syllabus is very interesting and has offered some engaging ways that will persuade the student to indulge in learning in a very vivid way. We have attached the PDF file below which holds the complete CBSE Class 3 Maths Syllabus, you can download them on your laptop or mobile and get started with your kid's preparation.
Maths Syllabus for Class 3 - Free Download
This syllabus offers 14 chapters in it, based on the topics we have discussed earlier, which are geometry, arithmetic, money, measurement, time, pattern, and data handling.
You can download the book easily from our website or you can also follow the NCERT website. To get the NCERT book you will have to go to their website and visit the textbook PDF link. Once the link opens then enter your kid’s class, choose the subject and name of the book, and click on the ‘Go’ button. The file will appear. You can download the entire book or you can go through chapter by chapter, the choice is up to you. They have offered the book in three languages Hindi, English, and Urdu on their website.
Benefits of Class 3 Maths Syllabus
The Class 3 Maths Syllabus will work on your kid's overall idea and conception of mathematics. From 2 dimension geometrical shapes, and measurement to arithmetic and money, time will be taught to the student so that they can understand the primitive stage of this humongous subject. There is no doubt that Maths will be needed in every form of our regular life, and if they have their basics clear about the subject. They can grow more branches and indulge their time in this subject if they have their roots grounded in the subject.
- The syllabus will help the student to clear out their conceptions about Mathematics and score well in the exam.
- The chapters follow the guidelines provided by CBSE.
- This year they will learn about the importance of time and how they can manage it from this primitive stage.
- This syllabus will make them experts in various aspects of the subject and build their interest in numbers.
You can refer to our website if you face any difficulties; you can go through topic by topic. If the students have conceptual clarity on the subject then the students can build their creative, reasoning, and logical thinking abilities exponentially. It will also improve their problem-solving ability
The most important part of this syllabus is that as this is the time you should try to make the subject enjoyable for your kids and incorporate playful mannerisms in their lessons. The importance of conceptual clarity is very important to incorporate games, puzzles, and riddles that can help them understand the subject better. And if they enjoy the lessons they will automatically do better in the examinations.
From renowned scientists to a shopkeeper; to business tycoons to army officials, everyone has to involve Mathematics in their daily life. No matter whether your kid becomes a musician or a magician they will still need to have their conceptions correct about Maths to manage their day-to-day life. Follow our guidelines and the NCERT book then and you can easily do your part. You can also count on our CBSE sample papers for more options apart from the exercises provided in the books.