How each 45-minute session works: Every session is divided into 3 equal parts - 15 min Concept Learning, 15 min Worked Examples, 15 min Practice Questions. This ensures Nandika always understands BEFORE she practises, and practises BEFORE she moves on. Friday is always Revision Day. Sunday journal tracks her weekly Maths growth! 📈
15'
Concept
Learn the idea with real-life examples & stories
15'
Examples
Solve 3-4 worked examples step by step together
15'
Practice
5-8 questions independently - no peeking!
CBSE Class IV Maths - Full Syllabus
Large Numbers Addition & Subtraction Multiplication Division Fractions Decimals Measurement Geometry & Shapes Patterns Time & Calendar Money Data Handling
Week 1 - Large Numbers (Up to 1 Lakh)
Place value - Expanded form - Comparing & ordering - Number names
Day 1 - MonPlace Value up to 1 Lakh
Concept
Introduce the Indian number system: Ones, Tens, Hundreds, Thousands, Ten-Thousands, Lakhs. Use an abacus or draw a place value chart. Show how 85,432 = 8 ten-thousands + 5 thousands + 4 hundreds + 3 tens + 2 ones.
Examples
Write 47,309 in a place value chart. Find the face value and place value of each digit. What is the place value of 7 in 47,309? Answer: 7,000.
Practice
Write the place value of underlined digit in: 63,427 - 91,056 - 38,704 - 20,519 - 78,234
Word Problems
A school library has 45,382 books. What is the place value of 5?
The distance from Delhi to Mumbai is 1,415 km. Write this in expanded form.
Fun Fact: India was the first country to use the concept of zero and the decimal system. Nandika is learning the language of the universe!
Day 2 - TueExpanded Form & Number Names
Concept
Expanded form = breaking a number into place values. 56,204 = 50,000 + 6,000 + 200 + 0 + 4. Writing number names in Indian system: 56,204 = Fifty-six thousand two hundred and four.
Examples
Write 78,035 in expanded form. Write in words: 90,700. Write in numerals: "Sixty-three thousand four hundred and twelve."
Practice
Expanded form of: 34,506 - 80,070 - 12,345 - 99,009. Write in words: 45,000 - 72,408 - 50,050.
Challenge
My expanded form is 40,000 + 3,000 + 0 + 60 + 7. What number am I?
Write the greatest 5-digit number using digits 3, 7, 0, 5, 9 (each once).
Real Life Link: When Nandika's family buys something for ₹25,499, she can now read it perfectly - Twenty-five thousand four hundred and ninety-nine rupees!
Day 3 - WedComparing & Ordering Numbers
Concept
To compare numbers: first count digits (more digits = greater). If same digits, compare left to right digit by digit. Use symbols >, <, =. Ascending = smallest to largest. Descending = largest to smallest.
Examples
Compare 54,321 and 54,312. Both have same digits - compare: 3 vs 3, 2 vs 1. So 54,321 > 54,312. Arrange 34,500 - 34,050 - 35,400 in ascending order.
Practice
Put >, < or = : 67,890 __ 67,980 - 45,000 __ 45,000 - 99,999 __ 1,00,000. Arrange in descending order: 23,450 - 23,045 - 23,540 - 23,405.
Word Problems
A factory made 56,780 toys in March and 57,080 in April. Which month had more production?
Write the smallest 5-digit number using 4, 8, 2, 0, 6 (each once, 0 not in first place).
Game Idea: Papa calls out two big numbers. Nandika gives the answer in under 5 seconds - faster each day!
Day 4 - ThuRounding & Estimation
Concept
Rounding to nearest 10: look at ones digit. 0-4 = round down, 5-9 = round up. Rounding to nearest 100: look at tens digit. Rounding to nearest 1,000: look at hundreds digit. Estimation = quick approximate answers using rounding.
Examples
Round 4,567 to nearest 10 → 4,570. To nearest 100 → 4,600. To nearest 1,000 → 5,000. Estimate: 3,456 + 2,789 ≈ 3,500 + 2,800 = 6,300.
Practice
Round to nearest 10: 4,564 - 8,237 - 1,995. Round to nearest 100: 34,450 - 67,830. Estimate the sum: 4,512 + 3,689.
Real Life
A cricket stadium has 38,456 seats. About how many seats are there (to nearest thousand)?
Papa spent ₹4,875 on groceries. Approximately how much did he spend (nearest hundred)?
Real Life: We use estimation every day! When Mama says "We need about 2 kg of vegetables" - she is estimating. Maths is everywhere!
Day 5 - Fri Week 1 Revision - Large Numbers
Quick Recap
Review all concepts: place value, expanded form, number names, comparing, ordering, rounding. Use a mind map - draw a circle with "Large Numbers" in the centre and all concepts branching out.
Mixed Examples
Write 83,407 in: (a) expanded form (b) words. Find place value of 4. Compare with 83,470. Round to nearest 1,000.
Mini Test
10 questions covering all week's topics. Self-check with Papa. Goal: 8/10 or above. Below 8 = revisit the weak topic on Saturday!
Revision Questions
Write the greatest and smallest 5-digit numbers using 3, 5, 0, 7, 1.
Arrange in ascending order: 56,090 - 56,900 - 59,006 - 56,009.
What comes 1,000 more than 49,999?
Nandika's Maths Mantra: "I don't just memorise - I UNDERSTAND!" Repeat this every Friday revision!
Week 2 - Addition & Subtraction
Addition with carrying - Subtraction with borrowing - Word problems - Mental Maths
Day 6 - MonAddition with Regrouping (Carrying)
Concept
When the sum in a column is 10 or more, we "carry" the tens digit to the next column. Always start from Ones. Explain using place value blocks. Show step-by-step column addition for 5-digit numbers.
Examples
Solve: 34,567 + 28,945 (step by step with carrying). Check answer using estimation: 34,000 + 29,000 = 63,000 ✓. Verify by adding the other way: smaller + larger.
Practice
Solve: 45,678 + 36,524 - 73,409 + 18,763 - 56,087 + 44,913 - 29,999 + 1 - 48,756 + 23,548
Word Problems
A school collected ₹34,560 in fees in June and ₹47,890 in July. What was the total collection?
Two cities have populations of 56,782 and 38,609. What is their combined population?
Check Trick: Always estimate first! If your answer is very different from the estimate - you made a mistake. Find it!
Day 7 - TueSubtraction with Regrouping (Borrowing)
Concept
When the top digit is smaller than the bottom digit, we "borrow" 1 ten from the next column. Step by step: start from Ones, go left. If 0s are in the way, we may need to borrow from farther left. Show this patiently with examples.
Examples
Solve: 80,000 - 34,567 (tricky - all zeros!). Show borrowing step by step. Also: 65,302 - 28,476. Check: 28,476 + answer should = 65,302.
Practice
Solve: 70,000 - 43,256 - 56,034 - 28,967 - 91,000 - 54,321 - 83,507 - 45,698 - 60,000 - 1
Word Problems
A factory produced 75,000 bottles. 38,456 were sold. How many remain?
Mount Everest is 8,849 m tall. A hill is 2,345 m tall. What is the difference in height?
Verification Method: After every subtraction, ADD your answer back to the smaller number. You must get the bigger number back. Always verify!
Day 8 - WedMental Maths - Addition & Subtraction Tricks
Concept
Tricks: (1) Add 9 = Add 10, subtract 1. (2) Add 99 = Add 100, subtract 1. (3) Subtract 9 = Subtract 10, add 1. (4) Compensation method: 456 + 299 = 456 + 300 - 1 = 755. These make you a Mental Maths wizard!
Examples
Use tricks: 567 + 99 = 567 + 100 - 1 = 666. 843 - 98 = 843 - 100 + 2 = 745. 456 + 199 = 456 + 200 - 1 = 655.
Practice
Mental Maths blitz - solve in under 3 min: 345+99 - 678+199 - 856-99 - 734-199 - 1,000-456 - 5,000-999 - 777+999
Speed Challenge
Papa calls out 10 mental Maths questions. Nandika answers each in under 5 seconds. How many can she get right?
Mental Maths makes you quick, sharp and confident in class. No one can trick you with numbers!
Day 9 - ThuWord Problems - Addition & Subtraction
Concept
RUCSAC method: Read, Underline key info, Choose operation, Solve, Answer in a sentence, Check. Keywords for Addition: total, sum, altogether, more, combined. Keywords for Subtraction: difference, less, remaining, how many more, left.
Examples
A train had 1,245 passengers. At the first stop 378 got off and 512 got on. How many passengers are now on the train? Solve step by step using RUCSAC.
Practice
Solve 4 word problems - 2 addition, 2 subtraction. Write full solution: Given, Find, Solution, Answer sentence.
Challenging Problems
A bookshop had 45,670 books. They sold 18,345 in March and got 12,500 new books in April. How many books do they have now?
The sum of two numbers is 83,450. One number is 47,625. What is the other number?
Always write the Answer Sentence: "The bookshop has ___ books now." This builds the habit of full, clear mathematical communication.
Day 10 - Fri Week 2 Revision - Addition & Subtraction
Quick Recap
Mind map: Addition (with carrying, column method, estimation) + Subtraction (with borrowing, zeros, verification) + Mental Maths tricks + Word problem keywords.
Mixed Questions
45,678 + 36,924 = ? - 80,000 - 47,358 = ? - Estimate 34,512 + 28,789. - Mental: 999 + 456.
Mini Test
10 mixed questions - column sums, subtraction with zeros, 2 word problems. Self-check. Score and note weak areas for next week's warm-up.
Tricky Revision
Fill in the missing number: 3_, 456 + __, 344 = 80,000.
The difference between two numbers is 18,560. The greater number is 75,430. Find the smaller number.
Nandika's Weekly Star : If she scores 9/10 or above, she gets to choose the fun Friday evening game!
Week 3 - Multiplication
Tables 2-12 - Multiplication by 10, 100, 1000 - Long multiplication - Word problems
Day 11 - MonMultiplication Tables & Properties
Concept
Revise tables 2-12 (must be mastered!). Properties: Commutative (3×5 = 5×3), Associative ((2×3)×4 = 2×(3×4)), Distributive (4×(3+2) = 4×3 + 4×2), Multiply by 0 = 0, Multiply by 1 = same number.
Examples
4 × (6 + 3) = 4×6 + 4×3 = 24 + 12 = 36. Verify: 4 × 9 = 36 ✓. Show how distributive property makes big multiplications easier.
Practice
Tables test: 7×8=? - 9×6=? - 11×7=? - 12×8=? - 6×9=? Write any 3 facts using commutative property. Use distributive: 5×(4+3) - 8×(10+2).
Memory Challenge
Say tables of 7, 8, 9 aloud - all the way to ×12 - in under 60 seconds.
If 6 × 8 = 48, write three other multiplication facts using these same numbers.
Table Trick: 9× table - multiply the number by 10 and subtract the number once! 9×7 = 70-7 = 63. Try it!
Day 12 - TueMultiplying by 10, 100, 1000
Concept
Multiply by 10 → add 1 zero. Multiply by 100 → add 2 zeros. Multiply by 1,000 → add 3 zeros. Multiply by 20 = multiply by 2, then by 10. Multiply by 300 = multiply by 3, then add 2 zeros. This is the fastest trick in Maths!
Examples
456 × 100 = 45,600. 78 × 1,000 = 78,000. 34 × 200 = 34 × 2 × 100 = 68 × 100 = 6,800. 125 × 40 = 125 × 4 × 10 = 500 × 10 = 5,000.
Practice
234 × 10 - 56 × 100 - 789 × 1000 - 45 × 200 - 67 × 300 - 123 × 400 - 25 × 40 - 36 × 500
Word Problems
A box has 100 chocolates. How many chocolates are in 345 boxes?
A machine makes 1,000 pins per hour. How many does it make in 67 hours?
Speed Tip: These "zero tricks" work because our number system is base-10. Nandika can now multiply huge numbers in 2 seconds flat!
Day 13 - WedLong Multiplication (2-digit × 2-digit)
Concept
Step 1: Multiply by ones digit. Step 2: Write 0 as placeholder, multiply by tens digit. Step 3: Add both products. Show in column form with the placeholder 0 clearly marked. Relate to the grid/box method as an alternative.
Examples
Solve 43 × 27 step by step. 43×7=301. 43×20=860. 301+860=1,161. Verify: estimate 40×27=1,080, close ✓. Also solve 56 × 34 together.
Practice
45×23 - 67×34 - 89×56 - 76×48 - 95×37. Estimate first, then solve. Check at least 2 answers by reversing.
Word Problems
A school has 45 classrooms. Each classroom has 38 students. How many students in the school?
A farmer plants 63 rows of wheat. Each row has 75 plants. How many plants in total?
Grid Method Alternative: Draw a 2×2 grid - split each number by tens and ones, multiply all 4 boxes, add. Some children find this easier! Try both.
Day 14 - ThuMultiplication by 3-digit numbers & Word Problems
Concept
3-digit × 1-digit with regrouping. Also 2-digit × 3-digit: same steps but 3 partial products (ones, tens with 1 zero, hundreds with 2 zeros). Focus on neat column work, correct placeholder zeros and careful addition at the end.
Examples
345 × 6 = 2,070. 234 × 23 - three partial products. 456 × 100 in column form. RUCSAC method for word problems.
Practice
456×7 - 809×5 - 234×32 - 123×45. 2 word problems. Write full solutions with sentence answers.
Challenging Problems
A toy costs ₹345. How much do 24 such toys cost?
There are 365 days in a year. How many days are there in 12 years? (Ignore leap years.)
Real Life: Multiplication is used in shopping, cooking, construction, cricket scores and almost everything! Nandika is learning life skills.
Day 15 - Fri Week 3 Revision - Multiplication
Quick Recap
Tables 2-12 rapid fire - Properties of multiplication - ×10, ×100, ×1000 tricks - Column multiplication - Word problems using RUCSAC.
Mixed Questions
8×12=? - 456×100=? - 45×23=? - 234×6=? One word problem combining multiplication and addition.
Mini Test
10 questions: 3 tables, 2 ×10/100/1000, 3 long multiplication, 2 word problems. Score self. Target: 8/10.
Puzzle
I am a 2-digit number. When multiplied by 8, I give 96. What am I?
The product of two numbers is 1,332. One number is 36. Find the other.
Multiplication Superpower: Once Nandika masters this, she can solve in seconds what takes others minutes. Keep practising those tables!
Week 4 - Division
Short division - Long division - Remainder - Divisibility rules - Word problems
Day 16 - MonDivision Concepts & Short Division
Concept
Division = sharing equally OR repeated subtraction. Terms: Dividend ÷ Divisor = Quotient, Remainder. Relationship: Dividend = Divisor × Quotient + Remainder. Short division (bus stop method) for dividing by 1-digit numbers.
Examples
4,536 ÷ 7 = 648. 5,672 ÷ 8 = 709. Show step-by-step bus stop. Verify: 648 × 7 = 4,536 ✓. Explain remainder with 4,537 ÷ 7 = 648 R1.
Practice
3,456÷6 - 7,284÷9 - 5,670÷7 - 8,145÷5 - 9,999÷9 - 6,432÷8. Verify each answer!
Word Problems
756 students are to be divided equally into 9 groups. How many in each group?
A baker made 5,428 cookies. He packs 8 in each box. How many full boxes and how many cookies are left over?
Division Check: Multiply quotient by divisor, add remainder - must equal dividend. Never skip this step!
Day 17 - TueLong Division (÷ by 2-digit numbers)
Concept
Steps: Divide, Multiply, Subtract, Bring down (DMSB - Does McDonald Sell Burgers? ). Repeat until no digits left. Show with large numbers ÷ 2-digit divisors. Stress alignment and neat working.
Examples
Solve 8,736 ÷ 24 step by step using DMSB. Then 5,670 ÷ 15. Verify both. Also solve 9,450 ÷ 25.
Practice
4,560÷12 - 7,896÷24 - 9,450÷25 - 6,840÷36 - 8,748÷42. Verify all. Write R=0 if no remainder.
Word Problems
A school has 1,260 books. They are shared equally among 28 classes. How many books per class?
₹9,450 is distributed equally among 25 children. How much does each child get?
DMSB Memory Trick: "Does McDonald Sell Burgers?" - Divide, Multiply, Subtract, Bring down. Nandika will never forget this!
Day 18 - WedDivisibility Rules
Concept
Rules: ÷2 (ends in 0,2,4,6,8) - ÷3 (digit sum ÷3) - ÷4 (last 2 digits ÷4) - ÷5 (ends in 0 or 5) - ÷6 (divisible by 2 AND 3) - ÷9 (digit sum ÷9) - ÷10 (ends in 0). These rules = instant answers without actual division!
Examples
Is 4,536 divisible by 3? Sum = 4+5+3+6=18, 18÷3=6 ✓ Yes. By 9? 18÷9=2 ✓ Yes. By 4? Last 2 digits: 36÷4=9 ✓ Yes. By 6? Yes (divisible by 2 and 3). By 5? No (ends in 6).
Practice
Test 7,890 - 4,536 - 10,000 - 3,333 - 8,640 for divisibility by 2, 3, 4, 5, 6, 9, 10. Make a table!
Puzzle
Find the smallest number greater than 5,000 that is divisible by both 3 and 5.
A number has digit sum 18 and ends in 0. Is it divisible by 2, 3, 5, 6, 9, 10? Check all!
These rules save enormous time in exams. A student who knows divisibility rules can solve questions 3× faster. Master them!
Day 19 - ThuDivision Word Problems & Mixed Operations
Concept
Keywords for Division: share equally, each, per, distribute, split, average, how many groups. Mixed operation problems: identify which operations to apply and in what order. BODMAS introduction (Brackets first, then Multiplication/Division, then Addition/Subtraction).
Examples
5 friends share ₹3,450. Each gets ₹690. A shop orders 1,200 items over 24 days. Items per day = 50. BODMAS: (4+6) × 5 - 8 = 10 × 5 - 8 = 50 - 8 = 42.
Practice
4 word problems using RUCSAC. 3 BODMAS expressions: (12÷4)+7 - 8×(3+2)-5 - 36÷(6+3)×2.
Challenge Problems
A library received 3,600 books. They are placed in shelves of 45 each. How many shelves are needed?
A number when divided by 15 gives quotient 23 and remainder 7. Find the number.
The "Find the Number" formula: Number = Divisor × Quotient + Remainder. Nandika must memorise this - it appears in every CBSE exam!
Day 20 - Fri Week 4 Revision - Division
Quick Recap
DMSB method - Divisibility rules quick-fire - Relationship: Dividend = D×Q+R - BODMAS - Word problem keywords.
Mixed Questions
8,736÷24 - Is 7,890 divisible by 6? - (3+7)×4-8=? - 1 word problem (division).
Mini Test
10 questions - short division, long division, divisibility, BODMAS, word problems. Score. Identify weakest area for extra practice over weekend.
Brain Teasers
When a number is divided by 8, the quotient is 56 and remainder is 3. What is the number?
Find two numbers whose product is 504 and quotient is 7.
Halfway through! Nandika has now mastered large numbers, all four operations and word problems. She is doing fantastically!
Week 5 - Fractions & Decimals
Types of fractions - Equivalent fractions - Comparing - Addition & subtraction - Decimals intro
Day 21 - MonFractions - Types & Equivalent Fractions
Concept
Types: Proper (¾), Improper (7/4), Mixed (1¾), Like (same denominator), Unlike (different denominators), Unit fraction (1/n). Equivalent fractions = multiply or divide numerator and denominator by same number. Simplest form = divide by HCF.
Examples
Equivalent to ⅔: 4/6, 6/9, 8/12. Simplify 18/24: HCF=6, → 3/4. Convert 11/4 to mixed: 2¾. Convert 3⅖ to improper: 17/5.
Practice
Find 3 equivalents of ⅗. Simplify: 12/16 - 20/25 - 36/48. Convert: 17/5 to mixed - 4⅗ to improper.
Pizza Problems!
Nandika ate ⅜ of a pizza and her brother ate 2/8. What fraction did they eat together?
Draw a circle divided into 8 equal parts. Shade ⅝. What fraction is unshaded?
Fraction = "Broken piece" in Latin! Every time Nandika cuts a roti or pizza, she is doing fractions. Maths is in every meal!
Day 22 - TueComparing & Ordering Fractions
Concept
Same denominator: compare numerators directly. Different denominators: find LCM of denominators, convert to like fractions, then compare. Fraction on number line shows position clearly. Greater the denominator, smaller each piece is!
Examples
Compare ¾ and ⅝: LCM of 4,5=20. ¾=15/20. ⅝=12/20. So ¾ > ⅝. Arrange ½, ⅓, ¾ in ascending order.
Practice
Compare using >, <, =: ⅔ __ ¾ - ⅝ __ ⅞ - 4/9 __ 5/12. Arrange in ascending: ½, ¼, ⅓, ⅙.
Word Problem
Riya ran ¾ km and Seema ran ⅝ km. Who ran farther? By how much?
Arrange these test scores as fractions in descending order: 7/10, 3/5, 4/8, 9/12.
LCM Trick: The LCM of 2 denominators is often just their product if they share no common factor. Practice makes this instant!
Day 23 - WedAddition & Subtraction of Fractions
Concept
Like fractions: add/subtract numerators, keep denominator. Unlike fractions: find LCM, convert, then add/subtract. Mixed numbers: add/subtract whole numbers and fraction parts separately. Simplify the answer always!
Examples
⅗ + ⅖ = 5/5 = 1. ¾ - ⅝: LCM=8, 6/8 - 5/8 = 1/8. 2⅓ + 1½: LCM=6, 2 2/6 + 1 3/6 = 3 5/6.
Practice
⅔+⅓ - ¾-¼ - ½+⅓ - ⅝-⅜ - 2¼+1¾ - 3⅔-1⅓. Simplify all answers!
Word Problems
A ribbon is 4½ m long. Nandika uses 1¾ m for a project. How much ribbon is left?
In a class, ⅖ students play cricket and ⅓ play football. What fraction plays either sport?
Real Life: Recipes use fractions! "Add ¾ cup flour and ½ cup sugar." Help Mama cook this weekend and practise fractions deliciously!
Day 24 - ThuIntroduction to Decimals
Concept
Decimals = fractions with denominators 10, 100, 1000. 0.3 = 3/10. 0.45 = 45/100. 1.7 = 1 and 7/10. Decimal place values: Ones . Tenths Hundredths. Comparing decimals: same as whole numbers - compare digit by digit from left. Adding zeros after the last decimal digit doesn't change value (0.5 = 0.50).
Examples
Write 0.75 as a fraction → 75/100 = ¾. Write ⅖ as decimal → 0.4. Compare 0.45 and 0.5: 0.45 = 0.45, 0.50 = 0.50. So 0.5 > 0.45.
Practice
Write as decimal: 7/10 - 43/100 - 3½ - 7/100. As fraction: 0.6 - 0.25 - 1.75. Compare: 0.8 __ 0.75 - 0.09 __ 0.9.
Real Life
A bottle holds 1.5 litres of water. Write this as a mixed fraction.
Arrange in ascending order: 0.5, 0.05, 0.55, 0.505, 5.0.
Decimals are everywhere! Money (₹12.50), weight (2.5 kg), height (1.2 m). Nandika already uses decimals daily without knowing it!
Day 25 - Fri Week 5 Revision - Fractions & Decimals
Quick Recap
Fraction types - Equivalent fractions - Simplification - LCM for unlike fractions - Adding/subtracting - Decimal ↔ Fraction conversion - Comparing decimals.
Mixed Questions
Simplify 24/36. Add ¾ + ⅝. Subtract 2½ - 1¾. Write 0.35 as fraction. Compare 0.7 and 0.69.
Mini Test
10 questions covering all fraction and decimal topics. Score and identify gaps. Extra practice on lowest-scoring area over weekend.
Mixed Challenges
Nandika read ⅖ of a book on Monday and 3/10 on Tuesday. What fraction has she read? What fraction remains?
A piece of cloth is 3.75 m. Another is 2.5 m. What is the total length? Write as a mixed fraction too.
Fractions and decimals are two ways of saying the same thing. Nandika now speaks both languages of numbers fluently!
Week 6 - Measurement, Time, Money & Geometry
Length - Weight - Capacity - Time & Calendar - Money - Shapes & Area
Day 26 - MonLength, Weight & Capacity
Concept
Length: km → m → cm → mm (×1000, ×100, ×10). Weight: kg → g (×1000). Capacity: l → ml (×1000). Converting: multiply when going to smaller unit, divide when going to larger unit. Word problems involve adding or subtracting measurements.
Examples
3.5 km = 3,500 m. 2,750 g = 2 kg 750 g. 4 l 500 ml + 2 l 750 ml = 6 l 1,250 ml = 7 l 250 ml. A rope of 5 m - cut 1 m 35 cm → remaining?
Practice
Convert: 4.5 km to m - 3,400 g to kg - 2,500 ml to l. Add: 3 km 450 m + 2 km 750 m. Subtract: 5 kg - 2 kg 350 g.
Word Problems
A shopkeeper has 5 kg 250 g of sugar. He sells 3 kg 700 g. How much is left?
Three pipes are 2 m 35 cm, 1 m 80 cm and 3 m 45 cm. What is their total length?
Measurement Tip: Always convert to the same unit before adding or subtracting! This prevents the most common mistake.
Day 27 - TueTime & Calendar
Concept
Units: 60 sec=1 min - 60 min=1 hour - 24 hr=1 day - 7 days=1 week - 28/29/30/31 days=1 month - 12 months=1 year - 365/366 days=1 year. 12-hour vs 24-hour clock. AM vs PM. Elapsed time = End time - Start time.
Examples
A film starts at 2:45 PM and ends at 5:10 PM. Duration = 2 hr 25 min. Convert 3:30 PM to 24-hour clock = 15:30. How many days from 15 March to 10 April?
Practice
Convert: 3:20 PM to 24-hr - 14:45 to 12-hr. Elapsed time: starts 9:15 AM ends 11:40 AM. Days between 20 May and 5 July.
Nandika's Own Schedule!
Nandika's holiday starts 25 May and school reopens 5 July. How many days of holiday does she have?
She studies from 8:45 AM to 9:30 AM. How many minutes of Maths does she do each day? Over 40 days, how many hours total?
Fun: Nandika can calculate that her 40-day holiday = 40 × 24 = 960 hours. She is spending them wisely! ⏰
Day 28 - WedMoney - Bills, Profit, Loss, Simple Problems
Concept
100 paise = ₹1. Cost Price (CP) = what you pay. Selling Price (SP) = what you sell for. Profit = SP - CP (when SP > CP). Loss = CP - SP (when CP > SP). Reading and making bills. Change calculation. Unitary method introduction.
Examples
CP = ₹450, SP = ₹525. Profit = ₹75. 5 pens cost ₹75. 1 pen costs ₹15. 8 pens cost ₹120 (unitary method). Making a bill for 3 items.
Practice
Find profit/loss: CP ₹340, SP ₹295. Unitary: 4 notebooks cost ₹96, price of 7? Make a bill: 2 kg apples @ ₹85/kg, 3 L milk @ ₹52/L.
Real Life Shopping
Nandika buys stationery: 2 pencils @ ₹5, 1 eraser @ ₹8, 1 sharpener @ ₹12. She gives ₹50. What change does she get?
A shopkeeper bought a toy for ₹350 and sold it for ₹280. Find his loss. Was this a good decision?
Next time you go shopping with Papa, Nandika can calculate the total, check the change and identify if there is a profit or loss for the shopkeeper. Real Maths!
Day 29 - ThuGeometry - Shapes, Perimeter & Area
Concept
2D shapes: Square, Rectangle, Triangle, Circle. Properties (sides, angles). Perimeter = sum of all sides. Perimeter of square = 4×side. Rectangle = 2×(l+b). Area = space inside. Area of square = side². Area of rectangle = length × breadth. Unit = cm², m².
Examples
Rectangle: l=12 cm, b=8 cm. Perimeter = 2×(12+8) = 40 cm. Area = 12×8 = 96 cm². Square: side=9 cm. Perimeter = 36 cm. Area = 81 cm².
Practice
Find P and A: rectangle 15×7 cm - square 11 cm - rectangle 20×9 m. If area of rectangle = 48 cm² and length = 8 cm, find breadth.
Real Life Shapes
Nandika's room is 5 m long and 4 m wide. Find the area of the floor. How many square tiles of 1 m² are needed to cover it?
A garden has perimeter 56 m. If it is a square, what is the length of each side? What is its area?
Art + Maths: Draw a house using rectangles, squares, triangles and circles. Calculate the perimeter and area of each shape. Art meets Maths!
Day 30 - Fri Week 6 Revision - Measurement, Time, Money, Geometry
Quick Recap
Conversion units table - Elapsed time steps - Profit and loss formula - Perimeter formula for square and rectangle - Area formula for square and rectangle.
Mixed Questions
3.5 kg to grams - CP ₹500, SP ₹430, find loss - Area of rectangle 14×6 - Duration from 10:25 to 1:10 PM.
Mini Test
10 questions across all 4 topics. Score. Note which topic is weakest - revise it on Saturday before Week 7.
Application Problems
A farmer fences a rectangular field of 45 m × 30 m. How much fencing is needed? At ₹15 per metre, what is the total cost?
A train leaves at 06:45 and arrives at 14:20. How long was the journey?
Nandika now knows enough Maths to plan a room, calculate a shopping bill, plan a journey and much more. She is a real-life problem solver!
Week 7 - Patterns, Data Handling & Grand Revision
Number patterns - Symmetry - Tally & bar graphs - Full syllabus revision - Maths exam readiness
Day 31 - MonNumber Patterns & Sequences
Concept
A pattern is a rule that repeats. Number sequences: find the rule (add, subtract, multiply, alternating). Triangular numbers, square numbers. Odd/even patterns. Magic squares. Introduce the concept of variables: a box □ that holds an unknown number.
Examples
Sequence: 2, 5, 8, 11, __ (add 3 each time → 14). Square numbers: 1, 4, 9, 16, 25, __. Magic square: rows, columns, diagonals all add to same total.
Practice
Find next 3 terms: 3,6,12,24,__ - 100,90,81,73,__ - 1,1,2,3,5,8,__ (Fibonacci!). Complete magic square. Solve: □+7=15 - 4×□=36.
Creative Maths
Create your own number pattern with a secret rule. Give it to Papa to solve!
The pattern 1, 3, 6, 10, 15... are triangular numbers. Draw them using dots. What comes next?
The Fibonacci sequence (1,1,2,3,5,8,13...) appears in flower petals, shells and galaxies. Nandika is discovering the secret code of nature!
Day 32 - TueSymmetry & Shapes
Concept
Line of symmetry = a line that divides a shape into two identical mirror halves. Vertical, horizontal and diagonal lines of symmetry. Number of lines: circle=infinite, square=4, rectangle=2, triangle=1 or 3. 3D shapes: faces, edges, vertices of cube, cuboid, cylinder, cone, sphere.
Examples
Draw a square and mark all 4 lines of symmetry. Which letters of the alphabet have symmetry? (A, H, M, O, T, U, V, W, X, Y). Cube: 6 faces, 12 edges, 8 vertices.
Practice
Draw shapes and mark lines of symmetry. Identify symmetrical letters in NANDIKA. Faces/edges/vertices of cone, cylinder, cuboid. Draw reflection of a shape.
Art Activity
Fold a paper in half, cut a shape, unfold - it is symmetrical! Draw 3 such designs.
Find symmetry in nature: leaves, butterflies, flowers. Draw one and mark the line of symmetry.
Symmetry is beauty! Architects, artists, designers and nature all use symmetry. Nandika's name - does it have a line of symmetry? Investigate!
Day 33 - WedData Handling - Tally, Tables & Bar Graphs
Concept
Data = collected information. Tally marks: IIII (4), then ̶I̶I̶I̶I (5 = one bundle). Frequency table. Bar graph: X-axis (categories), Y-axis (frequency), equal spacing, equal width bars, title and labels. Reading and interpreting graphs.
Examples
Nandika surveys 20 friends about favourite subjects. Organise in tally table. Draw bar graph with scale 1 cm = 2 students. Answer questions from the graph: Which subject is most popular? Least?
Practice
Given data - make tally table and bar graph. Answer 5 questions from the graph: most, least, total, difference, "how many more".
Real Survey
Nandika surveys her family: favourite fruit, favourite colour or favourite season. Collect data, make tally marks, draw bar graph and present findings!
Data handling is used by scientists, doctors, businesses and governments. Nandika is learning to read the world through numbers!
Day 34 - Thu Grand Revision - Full Syllabus
Mind Map
Draw a full Maths Mind Map covering all topics: Large Numbers → Operations → Fractions → Decimals → Measurement → Geometry → Patterns → Data. Add one key formula or rule for each topic. This is her Maths "cheat sheet" for life!
Quick Revision
One question from EACH week's topic - answered quickly from memory. Note which topics she answers fastest (strength) and slowest (needs review).
Timed Practice
15 mixed questions from all topics in 20 minutes. Self-check. Score. Any question below 70% accuracy → 10 minutes focused revision of that topic only.
Grand Revision Questions
Place value of 7 in 4,72,308 - 56,789 + 34,567 - 80,000 - 43,578 - 45 × 23 - 9,450 ÷ 25 - Simplify 18/24 - 0.75 as fraction - Area of 12×8 rectangle - Next term: 3,6,12,24,__ - Profit: CP ₹340, SP ₹400.
A Maths mind map is one of the most powerful revision tools. Once drawn by hand, it is hard to forget. Stick it on the wall next to the "I Am" wall!
Day 35 - Fri Final Maths Test & Celebration!
Preparation
5 minute warm-up: Nandika recites her favourite Maths trick, one formula and one word problem type. Deep breath. Sit tall. "I know this. I am ready." This is not a test to fear - it is a chance to SHINE!
Final Test
20 questions covering all 7 weeks. Time: 35 minutes. Papa sets the paper, Nandika solves independently. No help allowed! Full solutions required for word problems.
Score & Celebrate!
Papa checks and gives score. Whatever the score - celebrate the effort. Discuss: What improved most? What to keep practising? Compare score to Day 1. The growth is the real victory!
Nandika's Maths Promise
After the test, Nandika writes: "This holiday I learned ___ new Maths concepts. My favourite topic was ___. I used to find ___ hard but now I can ___. My Maths goal for Class IV is ___."
Final Message to Nandika: "Mathematics is not about being fast or perfect. It is about thinking clearly, trying bravely, and never giving up. You have done all three. You are a Maths Star!
40-Day Maths Achievement: By completing this programme, Nandika will have covered the complete CBSE Class IV Maths syllabus, practised hundreds of questions, solved real-life word problems, and built true understanding - not just memorisation. She enters Class IV with the confidence of someone who truly knows her Maths!