Class 5 Mathematics

Chapter 9 Solutions — Coconut Farm

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Solutions

Overview

Step-by-step NCERT solutions for Coconut Farm (Chapter 9, NCERT Class 5 Mathematics) — every question and answer worked out in full, not just the final result. You can also read the Coconut Farm textbook chapter.

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What these solutions cover

All 52 questions in Coconut Farm are solved in the PDF. Here's what's inside, exercise by exercise:

Division Facts — Array Introduction (p. 119)

Observe the array of coconuts. The given multiplication fact is 5 x 7 = 35. Write two division facts using this multiplication fact. Also answer: 35 / 1 = ___
Write the appropriate multiplication fact for the array shown below (4 rows of 8 coconuts). Write two division facts that follow from the multiplication fact.

Let Us Play — Circle-Square Factor/Quotient Puzzle (p. 120)

Identify the numbers that can fill the circles such that the numbers in the squares are the products or the quotients of the numbers in the circles. The first example is given: circles 36 and 2, square 72 (36 x 2 = 72). Fill in the remaining circles for squares 60, 48, 36, 24, 40 (multiplication row) and for 54, 42, 56 with given circle numbers 54, 42, 56 (division row).

Let Us Do — Multiplication and Division Facts (p. 120)

1.
Solve the following multiplication problems. Write two division statements in each case.
- (a) 30 x 30
- (b) 15 x 60
- (c) 400 x 8
- (d) 200 x 16

Let Us Do — Division Patterns (p. 121)

Solve the following division problems. Notice the patterns and discuss in class. 150 / 3 = ___ 80 / 4 = ___ 500 / 5 = ___ 100 / 10 = ___ 300 / 100 = ___ 500 / 50 = ___ 200 / 20 = ___ 440 / 44 = ___ 630 / 63 = ___
Patterns in Division and Place Value. Solve: 1,000 / 10 = ___ 1,000 / 100 = ___ 1,600 / 4 = ___ 2,000 / 2 = ___ 2,000 / 20 = ___ 3,700 / 37 = ___ 3,300 / 3 = ___ 3,300 / 300 = ___ 4,000 / 40 = ___
Fill the place value chart for: 40 / 10 = 400 / 10 = 4,000 / 10 = What is happening to the quotients in each case?
Fill the second place value chart: 110 / 11 = 700 / 70 = 860 / 86 = 1,400 / 100 = 7,500 / 750 = 220 / 20 = 8,800 / 88 = 2,200 / 20 = 2,400 / 24 = 440 / 22 = What patterns do you notice?

Let Us Do — Word Problems and Fill in the Blanks (p. 122)

Sabina cycles 160 km in 20 days and the same distance each day. How many kilometres does she cycle each day?
How many notes of Rs 100 does Seema need to carry if she wants to buy coconuts worth Rs 4,200?
The owner of an electric store has decided to distribute Rs 5,500 equally amongst 5 of his employees as a Diwali gift. What amount will each employee get? What will happen if he distributes the same amount of money among 10 employees? Will each employee get more or less? How much money would he have to distribute if everyone must get the same amount as earlier?
Place the numbers 1 to 8 in the following boxes so that all the four operations — division, multiplication, addition and subtraction — are correct. No number must be repeated. The layout is: [A] / [B] = [C] (top row), [A] - [D] (left column), [B] x [E] (right column), [D] + [E] = [F] (bottom row).
5.
Fill in the blanks:
- (a) ___ / 18 = 100
- (b) ___ / 10 = 610
- (c) ___ / 100 = 72
- (d) ___ / 100 = 10
- (e) 870 / ___ = 87
- (f) ___ / 100 = 70
- (g) 200 / ___ = 2
- (h) 130 / ___ = 13

Try It! — Mental Strategies for Division (p. 123)

64 / 4 using the split method.
265 / 5 using the split method.
1,560 / 8 using the split method.
4,824 / 24 using the split method.
168 / 8 using repeated halving.
144 / 4 using repeated halving.

Let Us Solve — Mental Strategy Practice (p. 124)

1.
Solve using mental strategies:
- (a) 256 / 4
- (b) 545 / 5
- (c) 147 / 7
- (d) 1,212 / 6
- (e) 648 / 12
- (f) 9,648 / 48
- (g) 775 / 25
- (h) 796 / 4

Susie's Farm in Kerala — Division with Partial Quotients (p. 124–125)

Susie and Sunitha harvested 1,117 coconuts in April. They sold 582 coconuts equally to 6 regular customers. How many coconuts did each customer get? Each bag can hold 25 coconuts. How many bags would be needed to pack 97 coconuts?
They pack the remaining coconuts for drying and extracting oil. Each bag holds 25 coconuts. How many bags will they need to pack the remaining coconuts?

Let Us Learn to Divide — Division with Remainder (p. 125)

726 / 4. Find the quotient and remainder. Is 726 = 4 x 181? Check: 726 = 4 x 181 + ___.
902 / 16. Find the quotient and remainder. Is 902 = 16 x 56? Check: 902 = 16 x 56 + ___.

Let Us Solve — Word Problems with Division (p. 126)

Rani is planning to host a party. She estimates that 250 guests will attend. She plans to serve one samosa to each guest. Samosas are available in packs of 6 or 8. Which pack should Rani buy? Explain your answer.
342 students from a school are going on a trip to the Science Park. Each bus can carry a maximum of 41 students. How many buses does the school need to arrange?
Sofia has only Rs 50 and Rs 20 notes. She needs to pay Rs 520 using these notes. How many Rs 50 and Rs 20 notes does she need to make Rs 520? Find out the different possible combinations.
Three friends decide to split the money spent on their picnic equally. They buy snacks and sweets for Rs 157, juice and fruits for Rs 124 and pulav and paratha for Rs 136. How much should each person pay to share the cost equally?
5.
Identify the remainder, if any. Check if N = D x Q + R.
- (a) 887 / 3
- (b) 283 / 8
- (c) 745 / 5
- (d) 767 / 26
- (e) 530 / 41
- (f) 888 / 67

Kalpavruksha Coconut Oil — Long Division (p. 126–127)

Susie and Sunitha used 4,376 coconuts for extracting coconut oil. They can extract 1 litre of oil from 8 coconuts. What quantity of oil were they able to extract? How much will they earn if they sell the oil at Rs 175 for 1 litre?
Susie and Sunitha's farm sells coconut husk at Rs 23 per kilogram. They earned Rs 9,913 from the sale of husk in May. What quantity of husk did they sell in May?
In the hot summer months, tender coconuts are sold for Rs 35. Ibrahim earns Rs 8,890 in a week. How many tender coconuts did he sell? Ibrahim had bought the tender coconuts for Rs 20 each. How much extra money did he earn by selling the coconuts at Rs 35?

Division Using Place Value — Worked Examples (p. 128–129)

62 / 5 using place value method. Divide 62 into 5 equal parts.
75 / 8 using place value method. Divide 75 into 8 equal parts.
324 / 3 using place value method. Divide 324 into 3 equal parts.
136 / 6 using place value method. Divide 136 into 6 equal parts.

Let Us Divide — 4-Digit Division (p. 130–131)

7,032 / 6 (b) 3,005 / 5 (c) 2,874 / 14 (d) 9,805 / 32

Let Us Do — Missing Numbers in Division (p. 131)

Find the missing numbers such that there is no remainder. Remember, there could be more than one solution. The problems show partial division setups: 4)480, 20)400, a blank divisor dividing into 8_8 to give 21_, 3)_36 giving 3__, a blank)88, _)9_0, _)180, _)6480. Also a mystery number puzzle: 'I am a 3-digit number. If you divide me by 5, you get 42. If you multiply me by 2, you get 420. What…

Let Us Solve — Word Problems with 4-Digit Division (p. 132–133)

1.
A theatre company can accommodate 45 people during one show.
- (a) A total of 475 people bought tickets for a puppet show. How many shows are needed to seat all the people who bought tickets?
- (b) There are 2 shows in a day. How many days will be needed to accommodate all the people?
Naina bought 5 kg of ice cream as a birthday treat for her 23 friends. 400 g ice cream was left after everyone had an equal share. How much ice cream did each of her friends eat?
Megha packs 15 packets of ragi-oats biscuits for a 4-day group trip. Each packet contains 8 biscuits. There are 6 people in the group. If distributed evenly, how many biscuits can one person have each day?
4.
Solve the following and identify the remainder, if any. Check whether N = D x Q + R in each case.
- (a) 9,045 / 5
- (b) 1,034 / 4
- (c) 2,504 / 7
- (d) 8,900 / 15
- (e) 9,876 / 32
- (f) 7,506 / 24
5.
Find the solutions for part A. Observe the relations between quotient, divisor and dividend and use it to answer parts B and C. A:
- (a) 340/34=10
- (b) 340/17=?
- (c) 680/17=?
- (d) 680/34=?
- (e) 170/17=?
- (f) 680/68=? B:
- (a) 192/4=48
- (b) 192/8=?
- (c) 384/8=?
- (d) 384/4=?
- (e) 384/8=?
- (f) 86/2=? C:
- (a) 352/11=32
- (b) 704/22=?
- (c) 704/11=?
- (d) 352/22=?
- (e) 1,408/44=?
6.
A company in Mumbai organises cycle rallies from Mumbai to Panjim, Goa every year. They aim to cover 576 km in 12 days.
- (a) How much distance should they cycle every day, to cover the distance evenly?
- (b) After reaching Ratnagiri, they rest for 1 day. How much distance should they cycle each day to reach Goa in 4 days? Assume that they cover the distance evenly.
7.
Given below are a few problems. You may need some additional information to solve these. Identify the missing information. Write the missing information and find the answer.
- (a) A fruit vendor sells 6 baskets of mangoes. Each basket contains 12 mangoes. How much did the vendor earn in total?
- (b) A school has 8 classrooms, and each classroom has an equal number of desks. How many desks are there…
To make one bookshelf, a carpenter needs: 4 long wooden panels, 8 short wooden panels, 16 small clips, 4 large clips, 32 screws. The carpenter has: 264 long panels, 306 short panels, 2,400 small clips, 120 large clips, and 2,800 screws. How many bookshelves can the carpenter make?

Vegetable Market — Table with Missing Values (p. 134)

Help Munshi Lal complete his vegetable record table. Missing values: 1. Radish: Rs 26/kg, 78 kg — Total Amount = ? 2. Potato: Rs 20/kg — Quantity = ?, Total = Rs 2,240 3. Cabbage: Rs 32/kg, 56 kg — Total Amount = ? 4. Green peas: 125 kg, Total = Rs 3,125 — Cost of 1 kg = ? Total money earned = ?

Let Us Solve — Division Practice with Place Values (p. 134)

Divide the following. Identify the remainder, if any, and check whether N = D x Q + R. 1. 506 / 5 2. 918 / 8 3. 8,126 / 7 4. 9,324 / 4 5. 876 / 6 6. 7,008 / 3 7. 934 / 12 8. 829 / 23 9. 705 / 18 10. 8,704 / 32 11. 6,790 / 45 12. 5,074 / 21

Mathematical Statements (p. 135)

1.
Find out whether the following statements are True (T) or False (F). A true sentence is one where both sides of the '=' sign have the same value.
- (a) 8 x 9 = 70 + 2
- (b) 20 - 6 = 7 x 3
- (c) 48 / 3 = 4 x 4
- (d) 89 - 9 = 90 + 0
- (e) 25 + 10 = 45 - 10
2.
Complete the following statements such that they are true.
- (a) 7 x 6 = ___ + 17
- (b) 87 + 6 = ___ x 31
- (c) 63 + ___ = 74 - 4
- (d) ___ / 9 = 16 / 2
3.
Think about the following statements and find examples as suggested.
- (a) 'When two odd numbers are added, the sum is even.' Find 5 examples. Can you find an example to show it is false? (Always true)
- (b) 'Multiplying a number by 2 can give an odd number.' Give examples. Can you find any? (Never true)
- (c) 'Halving a number always leads to an even number.' Give 3 examples and 3 counter-examples…
4.
Tick in the appropriate cell (Always True / Sometimes True / Never True) for the following statements:
- (a) Adding 10 to a number gives a multiple of ten.
- (b) Changing the order of the numbers in subtraction makes no difference.
- (c) In multiplication, doubling one number and halving the other keeps the product the same.
- (d) Multiplication by an odd number gives an even number.
- (e) Multiplying a…

Sample

Worked examples

3 questions from Coconut Farm, solved step by step.

Let Us Do — Word Problems and Fill in the Blanks (p. 122)

The owner of an electric store has decided to distribute Rs 5,500 equally amongst 5 of his employees as a Diwali gift. What amount will each employee get? What will happen if he distributes the same amount of money among 10 employees? Will each employee get more or less? How much money would he have to distribute if everyone must get the same amount as earlier?

Amount per employee (5 employees) = 5,500 / 5 = Rs 1,100.

If the same Rs 5,500 is distributed among 10 employees:

Each employee gets = 5,500 / 10 = Rs 550.

Each employee gets LESS (Rs 550 instead of Rs 1,100).

If all 10 employees must get the same Rs 1,100 as before:

Total money needed = 10 x 1,100 = Rs 11,000.

He would have to distribute Rs 11,000 in total.

Answer: Each of 5 employees gets Rs 1,100. With 10 employees sharing Rs 5,500, each gets Rs 550 (less). To give all 10 employees Rs 1,100, he needs Rs 11,000.

Susie's Farm in Kerala — Division with Partial Quotients (p. 124–125)

Susie and Sunitha harvested 1,117 coconuts in April. They sold 582 coconuts equally to 6 regular customers. How many coconuts did each customer get? Each bag can hold 25 coconuts. How many bags would be needed to pack 97 coconuts?

Step 1: 582 / 6

Using Sunitha's method:

6) 582 (90 + 7

- 540

------

- 42

------

Each customer gets 97 coconuts.

Step 2: Bags needed for 97 coconuts (25 per bag).

3 bags hold 75 coconuts. Remaining = 97 - 75 = 22 coconuts.

One more bag is needed for the remaining 22.

Total bags = 3 + 1 = 4 bags per customer.

Answer: Each customer gets 97 coconuts. 4 bags are needed to pack 97 coconuts.

Let Us Solve — Word Problems with Division (p. 126)

Rani is planning to host a party. She estimates that 250 guests will attend. She plans to serve one samosa to each guest. Samosas are available in packs of 6 or 8. Which pack should Rani buy? Explain your answer.

Total samosas needed = 250 (one per guest).

Packs of 6: 250 / 6 = 41 remainder 4.

She needs 41 full packs (246 samosas) + 1 more pack for the remaining 4 guests = 42 packs of 6.

Total samosas = 42 x 6 = 252 (2 extra).

Packs of 8: 250 / 8 = 31 remainder 2.

She needs 31 full packs (248 samosas) + 1 more pack = 32 packs of 8.

Total samosas = 32 x 8 = 256 (6 extra).

Packs of 6 give fewer leftovers (only 2 extra) and are likely cheaper in total.

Rani should buy packs of 6: 42 packs gives 252 samosas, wasting only 2.

Answer: Packs of 6 are better. 42 packs of 6 give 252 samosas (only 2 extra). 32 packs of 8 give 256 samosas (6 extra).

All 52 questions in Coconut Farm are solved step by step in the Solutions PDF above.

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Chapter 9 Solutions — Coconut Farm

Overview

What these solutions cover

Division Facts — Array Introduction (p. 119)

Let Us Play — Circle-Square Factor/Quotient Puzzle (p. 120)

Let Us Do — Multiplication and Division Facts (p. 120)

Let Us Do — Division Patterns (p. 121)

Let Us Do — Word Problems and Fill in the Blanks (p. 122)

Try It! — Mental Strategies for Division (p. 123)

Let Us Solve — Mental Strategy Practice (p. 124)

Susie's Farm in Kerala — Division with Partial Quotients (p. 124–125)

Let Us Learn to Divide — Division with Remainder (p. 125)

Let Us Solve — Word Problems with Division (p. 126)

Kalpavruksha Coconut Oil — Long Division (p. 126–127)

Division Using Place Value — Worked Examples (p. 128–129)

Let Us Divide — 4-Digit Division (p. 130–131)

Let Us Do — Missing Numbers in Division (p. 131)

Let Us Solve — Word Problems with 4-Digit Division (p. 132–133)

Vegetable Market — Table with Missing Values (p. 134)

Let Us Solve — Division Practice with Place Values (p. 134)

Mathematical Statements (p. 135)

Worked examples

Susie and Sunitha harvested 1,117 coconuts in April. They sold 582 coconuts equally to 6 regular customers. How many coconuts did each customer get? Each bag can hold 25 coconuts. How many bags would be needed to pack 97 coconuts?

Rani is planning to host a party. She estimates that 250 guests will attend. She plans to serve one samosa to each guest. Samosas are available in packs of 6 or 8. Which pack should Rani buy? Explain your answer.

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