Summary
Chapter 9 of the Class 5 Mathematics NCERT textbook (Maths Mela), "Coconut Farm", focuses on division — its relationship with multiplication, mental strategies, place-value-based methods, and the remainder formula N = D x Q + R — download the PDF to practice with real-life problems set on Susie and Sunitha's Kerala coconut farm.
- Division as the inverse of multiplication — Every multiplication fact yields two related division facts. For example, 5 x 7 = 35 gives 35 / 5 = 7 and 35 / 7 = 5. The chapter establishes the rule: Dividend = Divisor x Quotient.
- Mental strategies for division — Students learn to split the dividend into convenient parts (1248 / 6 = 1200/6 + 48/6 = 208), or to subtract a convenient number first (1992 / 4 = (2000 - 8) / 4 = 498), and to divide by 4 by halving twice.
- Patterns in division and place value — Dividing multiples of ten or hundred reveals a consistent pattern: 40/10 = 4, 400/10 = 40, 4000/10 = 400. Students fill a place-value chart and discuss how the quotient shifts with each multiplication by ten.
- Partial-quotient and place-value long division — Two methods are taught side by side using farm problems. Susie uses repeated subtraction of partial quotients (e.g., 20+20+20+20+10+7 for 582/6); Sunitha selects a larger initial quotient (90+7) to reduce steps. Place-value division breaks the dividend into Hundreds, Tens, and Ones.
- Division with remainders — When the divisor does not divide evenly, the relationship extends to N = D x Q + R. The chapter checks this with problems like 726 / 4 = 181 remainder 2, and 902 / 16 = 56 remainder 6.
Key points & formulas
- 01From any multiplication fact like 5 x 7 = 35, two division facts can always be written: 35 / 5 = 7 and 35 / 7 = 5.
- 02The core formula is Dividend (N) = Divisor (D) x Quotient (Q), extended to N = D x Q + R when there is a remainder.
- 03Mental strategy: split the dividend into parts that are easy to divide, then add or subtract the partial results.
- 04Halving twice is a shortcut for dividing by 4 (e.g., 128 / 4: half of 128 = 64, half of 64 = 32).
- 05Dividing by 10 moves the digits one place to the right in the place-value chart; students observe this pattern with 40, 400, and 4000 all divided by 10.
- 06Real farm problems include 582 coconuts shared equally among 6 customers (97 each), 535 coconuts packed in bags of 25 (22 bags needed), and 4376 coconuts yielding 547 litres of oil at 8 coconuts per litre.
- 07Place-value division teaches students to handle zeros in the quotient carefully, such as 324 / 3 = 108 where a zero must be placed in the tens position.
Frequently asked questions
01What is the main topic of Chapter 9 Coconut Farm in Class 5 Maths Mela?
The chapter focuses on division — understanding division facts, the relationship between multiplication and division, mental strategies for dividing numbers, and solving real-life word problems set in the context of a coconut farm.
02What is the relationship between dividend, divisor, and quotient in this chapter?
The chapter states the rule as: Dividend (N) = Divisor (D) × Quotient (Q). When there is a remainder, the full relationship is N = D × Q + R.
03How does the chapter show the link between multiplication and division?
The chapter shows that every multiplication fact gives two division facts. For example, the fact 5 × 7 = 35 leads to 35 ÷ 5 = 7 and 35 ÷ 7 = 5.
04What is the mental strategy of splitting a number to divide it, as shown in the chapter?
The chapter shows you can split the dividend into convenient parts, divide each part separately, and combine the results. For example, 1248 ÷ 6 is solved by splitting 1248 into 1200 + 48, giving 200 + 8 = 208.
05What is the repeated halving strategy for division, and when does it work?
To divide by 4, you can halve the number twice. The chapter demonstrates this with 128 ÷ 4: half of 128 is 64, and half of 64 is 32, so 128 ÷ 4 = 32.
06How many coconuts did Susie and Sunitha harvest in April, and how many did they sell to regular customers?
Susie and Sunitha harvested 1,117 coconuts in April and sold 582 of them equally to 6 regular customers, with each customer receiving 97 coconuts.
07How many bags were needed to pack the coconuts left after Susie and Sunitha's sale?
After selling 582 coconuts from 1,117, the remaining 535 coconuts needed to be packed into bags of 25 each. That works out to 21 full bags with 10 coconuts left over, so 22 bags were needed in total.
08How much coconut oil did Susie and Sunitha extract, and what was the rate of extraction?
The chapter states that 8 coconuts are needed to extract 1 litre of oil. Using 4,376 coconuts, they extracted 547 litres of coconut oil (4376 ÷ 8 = 547).
09How much coconut husk did Susie and Sunitha's farm sell in May, and at what price?
The farm sold coconut husk at Rs 23 per kilogram and earned Rs 9,913 in May, which means they sold 431 kg of coconut husk (9913 ÷ 23 = 431).
10What does 'remainder' mean in division, and how is it used in the formula in this chapter?
A remainder is what is left over when the divisor does not divide the dividend exactly. The chapter gives the formula N = D × Q + R to describe this, where R is the remainder.
11What is the place-value method of division shown in the chapter?
In the place-value method, the dividend is broken into hundreds, tens, and ones, and each place is divided separately. If a place value cannot be divided without breaking it up, it is regrouped into the next smaller unit before dividing.
12What uses of coconut husk does the chapter mention?
The chapter states that coconut husk is used for making coir, which is a natural fibre used in gardening, farming, boat making, and making decorative items.
More chapters in Maths Mela
Read Chapter 9 of Maths Mela, the Class 5 Mathematics NCERT textbook (2026-27 edition), online for free: the complete chapter as published by NCERT with every diagram, solved example and exercise, with step-by-step solutions, answers and revision notes. Open the NCERT PDF above, or browse all NCERT Class 5 textbooks.
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