🌈⚡Key To Enjoy Learning Maths☘🌈: CBSE Class 6 Maths Complete Study Checklist | Ganita Prakash NCERT PDF (All Chapters)

Monday, February 16, 2026

CBSE Class 6 Maths Complete Study Checklist | Ganita Prakash NCERT PDF (All Chapters)

CBSE Class 6 Mathematics (Ganita Prakash)

Chapter-wise Checklist with Topics, Key Points & Questions (Based on New NCERT)

CHAPTER 1: PATTERNS IN MATHEMATICS

Topic	Important Formulas / Key Points
1.1 What is Mathematics?	Mathematics is the study of patterns—number sequences, shapes, symmetry, and more.
1.2 Number Patterns	• Square numbers: 1, 4, 9, 16, 25... (n²) • Cube numbers: 1, 8, 27, 64... (n³) • Triangular numbers: 1, 3, 6, 10, 15... [n(n+1)/2]
1.3 Visual Patterns	Patterns in shapes, tiling, and geometry. Connections between shapes and numbers.
1.4 Patterns in Sequences	• Fibonacci sequence: 1, 1, 2, 3, 5, 8, 13... (each term is sum of previous two) • Number sequences can be finite or infinite.

✓	Question / Concept	Page	Type
☐	What comes next in the pattern: 1, 4, 9, 16, ___?	4	Figure it Out
☐	Draw the next shape in the given visual pattern.	6	Figure it Out
☐	Find the 6th triangular number.	8	In-text
☐	Write the next two terms of the sequence: 2, 3, 5, 8, 13, ___, ___	10	Figure it Out
☐	How many dots are there in the 5th square number?	12	In-text
☐	Observe the pattern: 1 = 1, 1+2 = 3, 1+2+3 = 6. What is 1+2+3+4+5?	14	Figure it Out

CHAPTER 2: LINES AND ANGLES

Topic	Important Formulas / Key Points
2.1 Point, Line Segment, Line, Ray	• Point: A location (no dimension) • Line Segment: Finite part of a line with two endpoints • Line: Extends infinitely in both directions • Ray: Starts at a point and extends infinitely in one direction
2.2 Angle	Formed by two rays originating from a common endpoint (vertex).
2.3 Types of Angles	• Acute: < 90° • Right: = 90° • Obtuse: > 90° but < 180° • Straight: = 180° • Reflex: > 180°
2.4 Measuring Angles	Using a protractor to measure angles in degrees (°).
2.5 Comparing Angles	Angle is greater if its rays are more spread apart.

✓	Question / Concept	Page	Type
☐	How many lines can pass through a single point? Through two points?	15-17	Figure it Out
☐	Name the rays in Fig. 2.5. Is T the starting point?	16	Figure it Out
☐	Can we write OA as AO? Why or why not?	17	Figure it Out
☐	Identify acute, right, and obtuse angles in the given pictures.	19-21	Figure it Out
☐	Explain why ∠APC cannot be labelled as ∠P.	20	Figure it Out
☐	Fold a paper and compare the angles formed. Which is largest/smallest?	23	Figure it Out
☐	Measure ∠KAL, ∠WAL, ∠TAK using a protractor.	35	Figure it Out
☐	Find the degree measure of ∠BXE and ∠CXE.	40-43	Figure it Out

CHAPTER 3: NUMBER PLAY

Topic	Important Formulas / Key Points
3.1 Introduction	Fun with numbers—palindromes, magic numbers, and number puzzles.
3.2 Palindromic Numbers	Numbers that read the same forwards and backwards (e.g., 121, 3443, 12321).
3.3 Kaprekar's Constant (6174)	A magical number reached through a specific process of rearranging digits.
3.4 Collatz Conjecture	Start with any number; if odd → 3n+1, if even → n/2. Eventually reaches 1 (unproven but always works).
3.5 Clock and Calendar Patterns	Number patterns in time, days, and dates.
3.6 Mental Math Tricks	Quick calculations using number properties.

✓	Question / Concept	Page	Type
☐	Find the next three palindromic numbers after 121.	48	Figure it Out
☐	Apply the Kaprekar routine to 3524. Do you reach 6174?	52	In-text
☐	Try the Collatz Conjecture starting with 15. Write each step.	55	Figure it Out
☐	What patterns do you observe in a calendar for a given month?	58	In-text
☐	Multiply 45 × 11 using a mental math trick.	62	Figure it Out
☐	Find the missing number in the puzzle: 3, 6, 11, 18, 27, ___	65	Figure it Out

CHAPTER 4: DATA HANDLING AND PRESENTATION

Topic	Important Formulas / Key Points
4.1 Collecting and Organising Data	• Data: Information collected for analysis • Tally marks: Grouping in fives (~~				~~)
4.2 Pictographs	Representing data using symbols. Scale indicates what one symbol represents.
4.3 Bar Graphs	• Bar Graph: Rectangular bars with heights proportional to values • Bars can be vertical or horizontal • Equal width, proper scale on axes
4.4 Drawing Bar Graphs	Steps: Choose scale, draw axes, label categories, draw bars.

✓	Question / Concept	Page	Type
☐	Complete the tally table for Shri Nilesh's sweet shop.	76-77	Figure it Out
☐	Find the largest and smallest shoe size from the given data.	77-79	Figure it Out
☐	In the pictograph, how many symbols represent Rani's kites?	83-84	Figure it Out
☐	How many total cars passed between 6 am and noon?	88	Figure it Out
☐	Why was traffic heaviest between 7-8 am?	88	Figure it Out
☐	Draw a bar graph for Samantha's insect data.	93-99	Figure it Out
☐	Prepare a frequency table for the letters in a news article (c, e, i, r, x).	79	Figure it Out

CHAPTER 5: PRIME TIME

Topic	Important Formulas / Key Points
5.1 Factors and Multiples	• Factor: Divides a number exactly • Multiple: Result of multiplying by an integer
5.2 Prime and Composite Numbers	• Prime: Exactly two factors (1 and itself) • Composite: More than two factors • 1 is neither prime nor composite
5.3 Divisibility Rules	Rules for 2, 3, 4, 5, 6, 8, 9, 10, 11.
5.4 Prime Factorization	Expressing a number as product of primes.
5.5 Sieve of Eratosthenes	Method to find all prime numbers up to a given limit.
5.6 Co-prime Numbers	Two numbers with HCF = 1 (e.g., 8 and 15).

✓	Question / Concept	Page	Type
☐	Find all factors of 48.	102	Figure it Out
☐	List the first five multiples of 7.	104	In-text
☐	Check if 123 is divisible by 3 and 9.	106	Figure it Out
☐	Find the prime factorization of 72.	108	In-text
☐	In the Venn diagram, common multiples are 24, 48, 72. Find the missing numbers.	110-111	Figure it Out
☐	Which of these are co-prime: (15, 21), (14, 25)?	114	Figure it Out
☐	Use Sieve of Eratosthenes to find primes up to 50.	112	In-text

CHAPTER 6: PERIMETER AND AREA

Topic	Important Formulas / Key Points
6.1 Perimeter	• Perimeter: Total length of boundary • Rectangle: 2 × (length + breadth) • Square: 4 × side • Triangle: Sum of all three sides
6.2 Area	• Area: Space enclosed within a shape • Rectangle: length × breadth • Square: side × side • Irregular shapes: Count unit squares
6.3 Real-life Applications	Finding cost of fencing (perimeter) or tiling/painting (area).

✓	Question / Concept	Page	Type
☐	Find the perimeter of a rectangle with length 12 cm and breadth 8 cm.	128	Figure it Out
☐	A square has side 15 m. What is its area?	130	In-text
☐	Find the area of an irregular shape by counting squares.	132	Figure it Out
☐	A garden is 20 m long and 15 m wide. Find the cost of fencing at ₹25 per metre.	135	In-text
☐	How many tiles of 10 cm × 10 cm are needed for a floor 5 m × 4 m?	138	Figure it Out

CHAPTER 7: FRACTIONS

Topic	Important Formulas / Key Points
7.1 Understanding Fractions	• Fraction: Part of a whole • Numerator: Number of parts taken • Denominator: Total equal parts
7.2 Fractions on Number Line	Representing fractions between 0 and 1 (or beyond).
7.3 Types of Fractions	• Proper: Numerator < Denominator • Improper: Numerator ≥ Denominator • Mixed: Whole + proper fraction
7.4 Equivalent Fractions	Multiply or divide numerator and denominator by same number.
7.5 Comparing Fractions	For same denominator, compare numerators. Cross-multiplication method.
7.6 Addition and Subtraction	Same denominator → add/subtract numerators. Different denominators → find LCM first.

✓	Question / Concept	Page	Type
☐	Shade 3/5 of the given figure.	152	Figure it Out
☐	Represent 2/3 and 5/6 on a number line.	155	In-text
☐	Convert 17/5 to a mixed fraction.	157	Figure it Out
☐	Find three equivalent fractions for 2/7.	160	In-text
☐	Which is greater: 3/4 or 5/8?	163	Figure it Out
☐	Add: 2/7 + 3/7	167	In-text
☐	Subtract: 5/6 - 1/3	170	Figure it Out

CHAPTER 8: PLAYING WITH CONSTRUCTIONS

Topic	Important Formulas / Key Points
8.1 Introduction	Using compass, ruler, and protractor for geometric constructions.
8.2 Drawing Circles	Compass fixed at centre, radius as distance.
8.3 Constructing Squares and Rectangles	• Square: All sides equal, all angles 90° • Rectangle: Opposite sides equal, all angles 90°
8.4 Exploring Diagonals	• Diagonal of square = side × √2 • Diagonals of rectangle are equal
8.5 Breaking Shapes	Dividing rectangles into squares and smaller rectangles.

✓	Question / Concept	Page	Type
☐	Draw a circle of radius 4 cm using a compass.	182	Figure it Out
☐	Construct a square of side 5 cm.	185	In-text
☐	Draw a rectangle of length 6 cm and breadth 4 cm. Measure its diagonals.	188	Figure it Out
☐	Divide a 8 cm × 5 cm rectangle into unit squares. How many do you get?	192	In-text
☐	Construct a square whose diagonal is 6 cm.	195	Figure it Out

CHAPTER 9: SYMMETRY

Topic	Important Formulas / Key Points
9.1 Line of Symmetry	A line that divides a figure into two mirror-image halves.
9.2 Rotational Symmetry	A figure looks the same after rotation (less than 360°). • Angle of symmetry: Smallest angle of rotation • Order of symmetry: 360° ÷ angle of symmetry
9.3 Reflection Symmetry	Mirror images—same as line symmetry.
9.4 Symmetry in Nature and Art	Symmetry in leaves, buildings, rangoli, etc.

✓	Question / Concept	Page	Type
☐	Identify lines of symmetry in given figures.	219	Figure it Out
☐	Draw an isosceles triangle with one line of symmetry.	219	Figure it Out
☐	Draw a figure with exactly two lines of symmetry.	219	Figure it Out
☐	Colour sectors to have 3 angles of symmetry.	238	Figure it Out
☐	Draw a parallelogram with rotational but no reflection symmetry.	238	Figure it Out
☐	Smallest angle of symmetry is 60°. Find other angles.	238	Figure it Out
☐	How many lines of symmetry does Ashoka Chakra have?	238	Figure it Out

CHAPTER 10: THE OTHER SIDE OF ZERO

Topic	Important Formulas / Key Points
10.1 Introduction to Integers	• Positive numbers: > 0 • Negative numbers: < 0 • Zero: Neither positive nor negative
10.2 Representation on Number Line	Negative numbers to the left of zero, positives to the right.
10.3 Comparing Integers	On number line, right side is greater.
10.4 Addition of Integers	• Same sign → add and keep sign • Different signs → subtract and take sign of larger
10.5 Subtraction of Integers	Add the opposite (additive inverse).
10.6 Real-life Applications	Bank balances (deposits/withdrawals), temperatures, sea level.

✓	Question / Concept	Page	Type
☐	Represent -5, 0, 3, -2 on a number line.	248	Figure it Out
☐	Which is greater: -8 or -3?	250	In-text
☐	Add: (-5) + (-7)	253	Figure it Out
☐	Subtract: 8 - (-3)	256	In-text
☐	At Srinagar, temperature was -5°C on Monday and dropped by 3°C on Tuesday. What was Tuesday's temperature?	260	Figure it Out
☐	A diver is at 20 m below sea level (-20 m). He rises 8 m. Where is he now?	262	In-text
☐	Find: (-12) + 7 - (-3)	265	Figure it Out

How to Use This Checklist:

Print or save this checklist.
Tick the box $(✓)$ when you have understood a topic and completed the associated questions.
Refer to your NCERT Ganita Prakash textbook for the exact figures and diagrams mentioned in the questions.
Revise the ticked topics and questions regularly before exams.
Practice unticked questions until you master them.

All the best for your CBSE Class 6 Mathematics Exam!

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