CBSE Class 7 Maths Complete Study Checklist | Ganita Prakash NCERT PDF (Part 1 & 2)

 

CBSE Class 7 Mathematics (Ganita Prakash)

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

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Part-1

CHAPTER 1: LARGE NUMBERS AROUND US

Topic	Important Formulas / Key Points
1.1 Introduction	Understanding large numbers in real-life contexts—population, distances, quantities.
1.2 Indian Place Value System	• Crore: 1,00,00,000 (10⁷) • Lakh: 1,00,000 (10⁵) • Thousands: 1,000 (10³) • Commas placed after every 2 digits from right (except last period): e.g., 12,34,56,789
1.3 International Place Value System	• Million: 1,000,000 (10⁶) • Billion: 1,000,000,000 (10⁹) • Commas placed after every 3 digits: e.g., 123,456,789
1.4 Comparison of Large Numbers	Compare digit by digit from left. Number with more digits is larger.
1.5 Operations with Large Numbers	Addition, subtraction, multiplication, and division involving large numbers.
1.6 Estimation	Rounding off to nearest tens, hundreds, thousands, etc., for quick approximation.

✓	Question / Concept	Page	Type
☐	One lakh varieties of rice—if you try one new variety daily, can you taste all in 100 years?	1-3	In-text
☐	If you eat 3 varieties daily, can you taste all lakh varieties in 100 years?	1-3	In-text
☐	Chintamani population in 2011 was 75,000. How much less than one lakh?	3	Figure it Out
☐	Estimated population in 2024 is 1,06,000. How much more than one lakh?	3	Figure it Out
☐	By how much did population increase from 2011 to 2024?	3	Figure it Out
☐	Somu is 1 m tall. If each floor is 4 times his height, find building height (11 floors).	3	In-text
☐	Compare Statue of Unity (180 m) with this building.	3	In-text
☐	Compare Kunchikal waterfall (450 m) with Somu's building.	3	In-text
☐	How many floors needed to match waterfall height?	3	In-text
☐	Write in words: 3,00,600; 5,04,085; 27,30,000; 70,53,138	4-5	In-text
☐	Write in Indian place value system: One lakh twenty-three thousand four hundred fifty-six	4-5	In-text
☐	Thoughtful Thousands (+1000 button): How many presses for 10,000? 53,000? One lakh?	5-6	In-text
☐	Tedious Tens (+10 button): How many presses for 780? 3700? One lakh?	5-6	In-text
☐	Handy Hundreds (+100 button): How many presses for 3,700? 97,600? One lakh?	5-6	In-text
☐	Find different ways to make 5072 using +1, +10, +100, +1000 buttons.	5-6	In-text
☐	For numbers in previous exercise, find smallest number of button clicks.	7	Figure it Out

CHAPTER 2: ARITHMETIC EXPRESSIONS

Topic	Important Formulas / Key Points
2.1 Introduction	Arithmetic expressions combine numbers using operations (+, -, ×, ÷) and brackets.
2.2 Order of Operations (BODMAS)	Brackets → Of (Orders) → Division → Multiplication → Addition → Subtraction
2.3 Using Brackets	Brackets change the order of evaluation. Expressions inside brackets are solved first.
2.4 Distributive Property	• $a\times (b+c)=(a\times b)+(a\times c)$ • $a\times (b-c)=(a\times b)-(a\times c)$
2.5 Comparing Expressions	Compare values without full calculation by analyzing how terms change.

✓	Question / Concept	Page	Type
☐	Choose your favourite number and write as many expressions as possible having that value.	24	In-text
☐	Fill blanks: 13 + 4 = ___ + 6; 22 + ___ = 6 × 5; 8 × ___ = 64 ÷ 2; 34 - ___ = 25	25	Figure it Out
☐	Arrange in ascending order: 67-19, 67-20, 35+25, 5×11, 120÷3	25	Figure it Out
☐	Compare using >, <, or = without calculating: 245+289 ☐ 246+285	26	In-text
☐	Compare: 273-145 ☐ 272-144; 364+587 ☐ 363+589	26	In-text
☐	Will swapping terms with negative numbers still hold? Check with examples.	29-31	In-text
☐	Explain using Token Model of integers from Class 6.	29-31	In-text
☐	If friends increase to 7 with same tip ₹5, dosa cost ₹23, write expression.	32-33	In-text
☐	If teacher called '4', Ruby writes 8×4+1; if '7', Ruby writes 4×7+5. Identify terms.	32-33	In-text
☐	Find values by writing terms: 28-7+8; 39-2×6+11; 40-10+10+10	34-35	Figure it Out
☐	Find values: 48-10×2+16+2; 6×3-4×8×5	34-35	Figure it Out

Exercise 2.3 (Pages as per book)

✓	Question / Concept	Type
☐	Fill blanks: 24+(6-4)=24+6☐☐; 38+(☐)=38+9-4	Exercise
☐	Remove brackets: 14+(12+10); 14-(12+10); 14+(12-10); 14-(12-10)	Exercise
☐	Compare: (6+10)-2 and 6+(10-2); 16-(8-3) and (16-8)-3	Exercise
☐	Identify expressions with same value: 319+537, 319-537, -537+319, 537-319	Exercise
☐	Add brackets to get given value: 34-9+12=13; 56-14-8=34	Exercise
☐	Fill blanks using reasoning: 423+=419+; 207-68=210-___	Exercise
☐	Using 2,3,5 and +,- with brackets, generate different values.	Exercise
☐	Jasoda subtracts 9 by subtracting 10 and adding 1. Is this correct? Why?	Exercise
☐	Compare 73-14+1 and 73-14-1 with given expressions.	Exercise

Exercise 2.4 (Pages as per book)

✓	Question / Concept	Type
☐	Fill blanks with numbers and signs using distributive property: 3×(5+8)=3×5☐3×___	Exercise
☐	Complete: (9+2)×4=9×4☐2×; 5×(9-2)=5×9-5×	Exercise
☐	Compare using reasoning: (8-3)×29 ☐ (3-8)×29	Exercise
☐	Compare: 15+9×18 ☐ (15+9)×18; 23×(17-9) ☐ 23×17+23×9	Exercise
☐	Find different ways to make 14: 2×(1+6)=14. Find 3 more ways.	Exercise
☐	Find sum of numbers in given pictures in at least two different ways.	Exercise

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CHAPTER 3: A PEEK BEYOND THE POINT

Topic	Important Formulas / Key Points
3.1 Introduction	Exploring numbers beyond whole numbers—fractions and decimals in real life.
3.2 Fractions	• Proper fraction: numerator < denominator • Improper fraction: numerator ≥ denominator • Mixed fraction: whole number + proper fraction
3.3 Decimals	• Tenths: 1/10 = 0.1 • Hundredths: 1/100 = 0.01 • Thousandths: 1/1000 = 0.001
3.4 Operations on Decimals	Addition, subtraction, multiplication, and division of decimal numbers.
3.5 Fractions to Decimals and Vice Versa	• Fraction → Decimal: Divide numerator by denominator • Decimal → Fraction: Write as fraction with denominator 10, 100, 1000...

✓	Question / Concept	Page	Type
☐	(Questions to be filled from NCERT textbook - refer book for exact page numbers and questions)		Figure it Out
☐	(Questions to be filled from NCERT textbook - refer book for exact page numbers and questions)		In-text

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CHAPTER 4: EXPRESSIONS USING LETTER-NUMBERS

Topic	Important Formulas / Key Points
4.1 Introduction	Using letters (variables) to represent unknown numbers in expressions.
4.2 Algebraic Expressions	Combination of variables, constants, and operations.
4.3 Terms and Coefficients	• Term: Parts of expression separated by + or - • Coefficient: Numerical factor of a term
4.4 Like and Unlike Terms	• Like terms: Same variables with same powers • Unlike terms: Different variables or different powers
4.5 Simplifying Expressions	Combine like terms by adding/subtracting coefficients.

✓	Question / Concept	Page	Type
☐	(Questions to be filled from NCERT textbook - refer book for exact page numbers and questions)		Figure it Out
☐	(Questions to be filled from NCERT textbook - refer book for exact page numbers and questions)		In-text

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CHAPTER 5: PARALLEL AND INTERSECTING LINES

Topic	Important Formulas / Key Points
5.1 Introduction	Lines in a plane—parallel, intersecting, and perpendicular.
5.2 Parallel Lines	Lines that never meet (distance between them remains constant).
5.3 Intersecting Lines	Lines that cross each other at a point.
5.4 Perpendicular Lines	Lines that intersect at right angles (90°).
5.5 Transversal	A line that cuts two or more lines at distinct points.
5.6 Angles Formed by Transversal	• Corresponding angles • Alternate interior angles • Alternate exterior angles • Interior angles on same side

✓	Question / Concept	Page	Type
☐	(Questions to be filled from NCERT textbook - refer book for exact page numbers and questions)		Figure it Out
☐	(Questions to be filled from NCERT textbook - refer book for exact page numbers and questions)		In-text

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CHAPTER 6: NUMBER PLAY

Topic	Important Formulas / Key Points
6.1 Introduction	Fun with numbers—patterns, puzzles, and properties.
6.2 Number Patterns	Observing and extending patterns in sequences.
6.3 Magic Squares	Square grid where numbers in rows, columns, and diagonals sum to same value.
6.4 Number Puzzles	Solving puzzles using logical reasoning and arithmetic.

✓	Question / Concept	Page	Type
☐	(Questions to be filled from NCERT textbook - refer book for exact page numbers and questions)		Figure it Out
☐	(Questions to be filled from NCERT textbook - refer book for exact page numbers and questions)		In-text

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CHAPTER 7: A TALE OF THREE INTERSECTING LINES

Topic	Important Formulas / Key Points
7.1 Introduction	Properties of triangles formed by three intersecting lines.
7.2 Triangle and its Properties	• Sum of interior angles = 180° • Exterior angle = sum of opposite interior angles
7.3 Types of Triangles	Based on sides: Equilateral, Isosceles, Scalene Based on angles: Acute, Right, Obtuse
7.4 Triangle Inequality	Sum of any two sides > third side.

✓	Question / Concept	Page	Type
☐	Check if these lengths form triangle: 2,2,5; 3,4,6; 2,4,8; 5,5,8	156	Figure it Out
☐	Check: 10,20,25; 10,20,35; 24,26,28	156	Figure it Out
☐	Will triangles always exist when triangle inequality is satisfied?	156	Figure it Out
☐	(Additional questions to be filled from NCERT textbook)		In-text

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CHAPTER 8: WORKING WITH FRACTIONS

Topic	Important Formulas / Key Points
8.1 Introduction	Review of fractions and their operations.
8.2 Multiplication of Fractions	• Product of fractions = (product of numerators)/(product of denominators) • Fraction × whole number = (numerator × whole number)/denominator
8.3 Division of Fractions	• Divide by fraction = multiply by its reciprocal • Reciprocal of a/b is b/a (a,b ≠ 0)
8.4 Word Problems	Real-life applications of fraction operations.

✓	Question / Concept	Page	Type
☐	(Questions to be filled from NCERT textbook - refer book for exact page numbers and questions)		Figure it Out
☐	(Questions to be filled from NCERT textbook - refer book for exact page numbers and questions)		In-text

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Part-2

CHAPTER 1: GEOMETRIC TWINS

Topic	Important Formulas / Key Points
1.1 Geometric Twins	Figures that are exact copies—same shape and size—are congruent.
1.2 Congruence of Triangles	Two triangles are congruent if corresponding sides and angles are equal.
1.3 Conditions for Congruence	• SSS: Three sides equal • SAS: Two sides and included angle equal • ASA: Two angles and included side equal • RHS: Right angle, hypotenuse, one side
1.4 CPCT	Corresponding Parts of Congruent Triangles are equal.

✓	Question / Concept	Page	Type
☐	Check if the two given figures are congruent.	3	Figure it Out
☐	Circle the pairs that appear congruent.	3	Figure it Out
☐	What measurements to take for congruent circle? For rectangle?	3	Figure it Out
☐	How would you check if two circles are congruent? Two rectangles?	3-4	In-text
☐	How to check if given figures are congruent? Identify congruent pairs.	4	Figure it Out
☐	(Additional congruence questions from textbook)		In-text

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CHAPTER 2: OPERATIONS WITH INTEGERS

Topic	Important Formulas / Key Points
2.1 Introduction	Integers include positive numbers, negative numbers, and zero.
2.2 Representation on Number Line	Negative on left, positive on right, zero in middle.
2.3 Addition of Integers	• Same sign → add and keep sign • Different signs → subtract and take sign of larger
2.4 Subtraction of Integers	Add the opposite (additive inverse): a - b = a + (-b)
2.5 Multiplication of Integers	• (+) × (+) = (+) • (-) × (-) = (+) • (+) × (-) = (-) • (-) × (+) = (-)
2.6 Division of Integers	Same sign rules as multiplication.

✓	Question / Concept	Page	Type
☐	(Questions to be filled from NCERT textbook - refer book for exact page numbers and questions)		Figure it Out
☐	(Questions to be filled from NCERT textbook - refer book for exact page numbers and questions)		In-text

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CHAPTER 3: FINDING COMMON GROUND

Topic	Important Formulas / Key Points
3.1 Introduction	Finding common factors, multiples, and their applications.
3.2 Highest Common Factor (HCF)	Largest number that divides all given numbers exactly.
3.3 Lowest Common Multiple (LCM)	Smallest number that is multiple of all given numbers.
3.4 Relationship between HCF and LCM	For two numbers a and b: a × b = HCF(a,b) × LCM(a,b)

✓	Question / Concept	Page	Type
☐	(Questions to be filled from NCERT textbook - refer book for exact page numbers and questions)		Figure it Out
☐	(Questions to be filled from NCERT textbook - refer book for exact page numbers and questions)		In-text

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CHAPTER 4: ANOTHER PEEK BEYOND THE POINT

Topic	Important Formulas / Key Points
4.1 Introduction	Advanced concepts in fractions and decimals.
4.2 Equivalent Fractions	Multiply or divide numerator and denominator by same number.
4.3 Comparing Fractions	Cross-multiplication method or convert to decimals.
4.4 Operations Review	Addition, subtraction, multiplication, division of fractions and decimals.

✓	Question / Concept	Page	Type
☐	(Questions to be filled from NCERT textbook - refer book for exact page numbers and questions)		Figure it Out
☐	(Questions to be filled from NCERT textbook - refer book for exact page numbers and questions)		In-text

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CHAPTER 5: CONNECTING THE DOTS...

Topic	Important Formulas / Key Points
5.1 Of Questions and Statements	Collecting and organizing data to answer questions.
5.2 Representative Values	• Mean (Average): Sum of observations ÷ Number of observations • Median: Middle value when data arranged in order • Mode: Most frequent value
5.3 Data Visualization	Dot plots, bar graphs, and their interpretation.

✓	Question / Concept	Page	Type
☐	Shreyas bounces ball: 6,2,9,5,4,6,3,5. Find average bounces.	101	Figure it Out
☐	Try activity yourself—collect 7+ attempts and find average.	101	Figure it Out
☐	Track flowers blooming over a week. Find average per day.	101	Figure it Out
☐	Nikhil (17,18,17,16,19,17,18) and Sunil (20,18,18,17,16,16,17). Who ran quicker on average?	101	Figure it Out
☐	School enrolment: 1555, 1670, 1750, 2013, 2040, 2126. Find mean enrolment.	101	Figure it Out
☐	Find median of onion prices in Yahapur and Wahapur.	112-113	Figure it Out
☐	Sanskruti's pet data: 0,1,0,4,8,0,0,2,1,1,5,3,4,0,0,—,10,25,2,—,2,4. Find mean and median.	112-113	Figure it Out
☐	Date palm tree heights: 50,45,43,52,61,63,46,55,60,55,59,56,56,49,54,65,66,51,44,58,60,54,52,57,61,62,60,60,67. Fill dot plot, find mean and median.	112-113	Figure it Out
☐	Daily water usage: 5.6,8,3.09,12.9,6.5,12.1,11.3,20.5,7.4. Can mean/median lie between 25-30? Justify.	112-113	Figure it Out
☐	Can mean/median be less than minimum or greater than maximum?	112-113	Figure it Out
☐	Newborn baby weights—fill dot plot and analyze.	112-113	Figure it Out
☐	Compare height dot plots of boys and girls. What can you infer?	112-113	Figure it Out

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CHAPTER 6: CONSTRUCTIONS AND TILINGS

Topic	Important Formulas / Key Points
6.1 Introduction	Geometric constructions using ruler and compass.
6.2 Constructing Lines and Angles	• Perpendicular bisector • Angle bisector • Copying angles
6.3 Constructing Triangles	Given measurements (SSS, SAS, ASA).
6.4 Tilings and Tessellations	Repeating patterns without gaps or overlaps.

✓	Question / Concept	Page	Type
☐	(Questions to be filled from NCERT textbook - refer book for exact page numbers and questions)		Figure it Out
☐	(Questions to be filled from NCERT textbook - refer book for exact page numbers and questions)		In-text

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CHAPTER 7: FINDING THE UNKNOWN

Topic	Important Formulas / Key Points
7.1 Introduction	Solving equations to find unknown values.
7.2 Simple Linear Equations	Equation form: ax + b = c, where x is variable.
7.3 Solving Equations	• Add/subtract same number on both sides • Multiply/divide both sides by same non-zero number
7.4 Applications	Word problems leading to simple equations.

✓	Question / Concept	Page	Type
☐	(Questions to be filled from NCERT textbook - refer book for exact page numbers and questions)		Figure it Out
☐	(Questions to be filled from NCERT textbook - refer book for exact page numbers and questions)		In-text

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How to Use This Checklist:

1. Print or save this checklist.

2. Tick the box $(\mathrm{✓})$ when you have understood a topic and completed the associated questions.

3. Refer to your NCERT Ganita Prakash textbook for the exact figures and diagrams mentioned in the questions.

4. Revise the ticked topics and questions regularly before exams.

5. Practice unticked questions until you master them.

All the best for your CBSE Class 7 Mathematics Exam!