Coconut Farm
CBSE · Class 5 · Mathematics
NCERT Solutions for Coconut Farm — CBSE Class 5 Mathematics.
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Let Us Play
1Identify 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.Show solution
Given: Numbers in squares are either the product or the quotient of the numbers in the adjacent circles.
Method:
- If the square shows a product, find two numbers whose multiplication gives that product and place them in the circles.
- If the square shows a quotient, find two numbers such that dividing one by the other gives that quotient.
Example: If a square shows 24, possible circle pairs are: , , , etc. since .
Students should use multiplication tables to identify the correct pairs for each square shown in the figure.
Let Us Do (Section 1 — Multiplication and Division Relationship)
1Solve the following multiplication problems. Write two division statements in each case. Observe the relationship between the divisor, dividend, and quotient.Show solution
Concept: Every multiplication statement gives two related division statements.
Example 1:
- Division statement 1:
- Division statement 2:
Example 2:
- Division statement 1:
- Division statement 2:
Example 3:
- Division statement 1:
- Division statement 2:
Observation: If , then and . The dividend is the product, and the divisor and quotient are the two factors.
2Solve the following division problems. Notice the patterns and discuss in class. Fill the place value chart:
| Problem | H | T | O |
|---|---|---|---|
| 40 ÷ 10 = | | | 4 |
| 400 ÷ 10 = | | 4 | 0 |
| 4000 ÷ 10 = | 4 | 0 | 0 |
| 700 ÷ 70 = | | | |
| 1400 ÷ 100 = | | | |
| 220 ÷ 20 = | | | |
| 2200 ÷ 20 = | | | |
Also fill:
| Problem | H | T | O |
|---|---|---|---|
| 110 ÷ 11 = | | | |
| 860 ÷ 86 = | | | |
| 7500 ÷ 750 = | | | |
| 8800 ÷ 88 = | | | |
| 2400 ÷ 24 = | | | |
| 440 ÷ 22 = | | | |Show solution
Pattern observed: When dividing by 10, the digits shift one place to the right (i.e., the number becomes 10 times smaller). When dividing by 100, digits shift two places to the right.
Part 2 — Place Value Chart (Second Table):
Pattern observed: When the divisor is exactly of the dividend, the quotient is always 10. When the divisor is exactly of the dividend, the quotient is 100. The quotients are multiples of 10 or 100 in these cases.
Let Us Do (Word Problems and Puzzles)
1Sabina cycles 160 km in 20 days and the same distance each day. How many kilometres does she cycle each day?Show solution
Formula: Distance per day
Answer: Sabina cycles 8 km each day.
2How many notes of ₹100 does Seema need to carry if she wants to buy coconuts worth ₹4200?Show solution
Formula: Number of notes
Answer: Seema needs 42 notes of ₹100.
3The owner of an electric store has decided to distribute ₹5500 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?Show solution
Part (ii): If distributed among 10 employees:
Each employee gets less (₹550 instead of ₹1100) because the same amount is shared among more people.
Part (iii): If each of the 10 employees must get ₹1100 (same as before):
Answer: Each of the 5 employees gets ₹1100. With 10 employees, each gets only ₹550. To give ₹1100 to each of 10 employees, the owner would need to distribute ₹11,000.
4Place the numbers 1 to 8 in the boxes so that all the four operations — division, multiplication, addition and subtraction — are correct. No number must be repeated.Show solution
Strategy:
- List numbers 1 to 8: {1, 2, 3, 4, 5, 6, 7, 8}
- Try combinations that satisfy all four operations simultaneously.
- Use trial and error, starting with division (most restrictive).
One possible solution (commonly accepted):
Numbers used: 8, 4, 2, 3, 6, 1, 7, 5 — all different, all from 1–8. ✓
Note: There may be more than one valid answer. Students should verify that each number from 1 to 8 is used exactly once.
5Fill in the blanks:
(a)
(b)
(c)
(d)
(e)
(f)
(g)
(h) Show solution
(a)
(b)
(c)
(d)
(e)
(f)
(g)
(h)
Let Us Solve (Mental Strategies for Division)
1Try It! — Solve the division problems shown (images not fully visible). The mental strategies demonstrated are: (1) splitting the dividend into convenient parts, (2) rounding up and subtracting, (3) repeated halving.Show solution
Strategy 1 — Split into convenient parts:
Strategy 2 — Round up and subtract:
Strategy 3 — Repeated halving (for divisor 4):
Students should apply these strategies to the problems shown in the images.
2Solve the following problems using mental strategies:
(a)
(b)
(c)
(d)
(e)
(f)
(g)
(h) Show solution
(b) — Split:
(c) — Split:
(d) — Split:
(e) — Split:
(f) — Split:
(g) — Split:
(h) — Round up and subtract:
Susie's Farm in Kerala
1Susie 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?Show solution
Verification using partial quotients:
Each customer gets 97 coconuts.
Part (ii): Bags needed for 97 coconuts
3 full bags hold 75 coconuts. The remaining 22 coconuts need 1 more bag.
2They pack the remaining coconuts for drying and extracting oil. They can pack 25 coconuts in each bag. How many bags will they need to pack the remaining coconuts? (Remaining = coconuts)Show solution
Step 2: Find number of bags needed.
Using partial quotients:
21 full bags hold coconuts. The remaining 10 coconuts need 1 more bag.
Let Us Learn to Divide
1Divide . Find the remainder. Check: Is ? Complete: Show solution
Check: Is ?
Verification using :
2Divide . Find the remainder. Check: Is ? Complete: Show solution
Check: Is ?
Verification using :
Let Us Solve (Word Problems — Party, Trip, Money)
1Rani 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.Show solution
For packs of 6:
She needs 42 packs of 6 → samosas (2 extra)
For packs of 8:
She needs 32 packs of 8 → samosas (6 extra)
Comparison:
- Packs of 6: 42 packs, 252 samosas, 2 extra
- Packs of 8: 32 packs, 256 samosas, 6 extra
Answer: Rani should buy packs of 6 because she will have fewer extra samosas (only 2 extra vs 6 extra), which means less wastage. She needs to buy 42 packs of 6.
2342 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?Show solution
8 buses carry 328 students. The remaining 14 students need 1 more bus.
3Sofia has only ₹50 and ₹20 notes. She needs to pay ₹520 using these notes. How many ₹50 and ₹20 notes does she need to make ₹520? Find out the different possible combinations.Show solution
Let number of ₹50 notes = , number of ₹20 notes = .
Finding combinations:
| ₹50 notes () | ₹20 notes () | Check |
|---|---|---|
| 0 | 26 | ✓ |
| 2 | 21 | ✓ |
| 4 | 16 | ✓ |
| 6 | 11 | ✓ |
| 8 | 6 | ✓ |
| 10 | 1 | ✓ |
Answer: There are 6 possible combinations. For example, 8 notes of ₹50 and 6 notes of ₹20.
4Three friends decide to split the money spent on their picnic equally. They buy snacks and sweets for ₹157, juice and fruits for ₹124 and pulav and paratha for ₹136. How much should each person pay to share the cost equally?Show solution
Step 2: Divide equally among 3 friends.
Answer: Each person should pay ₹139.
5Identify the remainder, if any. Check if .
(a)
(b)
(c)
(d)
(e)
(f) Show solution
(b) :
(c) :
(d) :
(e) :
(f) :
Kalpavruksha Coconut Oil
1Susie and Sunitha used 4376 coconuts for extracting coconut oil. They can extract 1 litre of oil from 8 coconuts. What quantity of oil were they able to extract?Show solution
Using partial quotients:
Answer: They extracted 547 litres of coconut oil.
Let Us Divide
aShow solution
Standard algorithm check: ✓
bShow solution
Check: ✓
cShow solution
Check using :
dShow solution
Check using :
Let Us Do (Missing Numbers and Riddle)
1Find the missing numbers such that there is no remainder. (The division problems are shown in images — general method given.)Show solution
Concept: If with no remainder, then .
Method:
- If the dividend is missing: Multiply divisor × quotient.
- If the divisor is missing: Divide dividend by quotient.
- If the quotient is missing: Divide dividend by divisor.
Example:
Example:
Students should apply this method to each problem shown in the images.
2I am a 3-digit number. If you divide me by 5, you get 42. If you multiply me by 2, you get 420. What number am I?Show solution
Verification with Clue 2: ✓
Answer: The number is .
Let Us Solve (Theatre, Ice Cream, Biscuits, Division)
1A 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?Show solution
10 shows seat 450 people. The remaining 25 people need 1 more show.
(b) Number of days needed (2 shows per day):
5 days have 10 shows. The 11th show needs 1 more day.
2Naina 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?Show solution
Step 2: Find ice cream distributed.
Step 3: Divide equally among 23 friends.
Answer: Each friend ate 200 g of ice cream.
3Megha 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?Show solution
Step 2: Find biscuits per person for the whole trip.
Step 3: Find biscuits per person per day.
Answer: Each person can have 5 biscuits per day.
4Solve the following and identify the remainder, if any. Check whether in each case.
(a)
(b)
(c)
(d)
(e)
(f) Show solution
(b) :
(c) :
(d) :
(e) :
(f) :
5Find the solutions for part A. Observe the relations between the quotient, divisor and dividend and use it to answer parts B and C.
A: (a) , (b) , (c) , (d) , (e) , (f)
B: (a) , (b) , (c) , (d) , (e) , (f)
C: (a) , (b) , (c) , (d) , (e) Show solution
(a) (given)
(b) : 17 is half of 34, so quotient doubles →
(c) : 680 is double 340, divisor same → quotient doubles →
(d) : 680 is double 340, divisor same as (a) → quotient doubles →
(e) : 170 is half of 340, divisor same as (b) → quotient halves →
(f) : 680 is double 340, 68 is double 34 → quotient same as (a) →
Part B:
(a) (given)
(b) : 8 is double 4 → quotient halves →
(c) : 384 is double 192, 8 is double 4 → quotient same as (a) →
(d) : 384 is double 192, divisor same → quotient doubles →
(e) (same as (c))
(f) :
Part C:
(a) (given)
(b) : 704 is double 352, 22 is double 11 → quotient same →
(c) : 704 is double 352, divisor same → quotient doubles →
(d) : dividend same, 22 is double 11 → quotient halves →
(e) : 1408 is 4 times 352, 44 is 4 times 11 → quotient same →
6A 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.Show solution
Answer: They should cycle 48 km per day.
(b) Distance per day after Ratnagiri:
Distance covered up to Ratnagiri (before rest day):
- They have been cycling for some days. The problem states they rest after reaching Ratnagiri and then need 4 more days to reach Goa.
- Total trip = 12 days cycling + 1 rest day.
- Assume Ratnagiri is at the halfway point or that the remaining distance after Ratnagiri needs to be covered in 4 days.
Distance covered in first part (12 - 4 = 8 days at 48 km/day):
Remaining distance:
Distance per day for remaining 4 days:
Answer: They should still cycle 48 km per day to cover the remaining distance in 4 days.
*(Note: The daily distance remains the same because the total remaining distance and remaining days are proportional to the original plan.)*
7Given below are a few problems. 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 in each classroom?
(c) Rahul buys 5 cricket bats for his team. The total bill is ₹3500. How much does one bat cost?
(d) A restaurant serves 125 plates of idlis in a day. The total earnings from selling all the idli plates is ₹6250. How many idlis are there in each plate?Show solution
Assuming price per mango = ₹10 (student fills this in):
(b) Missing information: Total number of desks in the school
Assuming total desks = 240 (student fills this in):
(c) No missing information — this problem is complete.
Answer: One bat costs ₹700.
(d) Missing information: Price per plate of idlis
The problem gives total earnings (₹6250) and number of plates (125), and asks for idlis per plate — but to find idlis per plate, we need the price per idli.
Assuming price per idli = ₹10 (student fills this in):
Answer: There are 5 idlis per plate (based on assumed price of ₹10 per idli).
8To 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, 2400 small clips, 120 large clips, 2800 screws. How many bookshelves can the carpenter make?Show solution
The limiting factor is the material that allows the fewest bookshelves:
Answer: The carpenter can make 30 bookshelves (limited by the large clips).
Vegetable Market — Complete the Table
1Help Munshi Lal complete the table:
1. Radish: ₹26 per kg, 78 kg supplied, Total = ₹____
2. Potato: ₹20 per kg, ____ kg supplied, Total = ₹2,240
3. Cabbage: ₹32 per kg, 56 kg supplied, Total = ₹____
4. Green peas: ₹____ per kg, 125 kg supplied, Total = ₹3,125
Total money earned = ₹____Show solution
Row 2 — Potato:
Row 3 — Cabbage:
Row 4 — Green Peas:
Total money earned:
Completed Table:
| S.No. | Vegetable | Cost/kg | Quantity (kg) | Total |
|---|---|---|---|---|
| 1 | Radish | ₹26 | 78 | ₹2028 |
| 2 | Potato | ₹20 | 112 | ₹2240 |
| 3 | Cabbage | ₹32 | 56 | ₹1792 |
| 4 | Green peas | ₹25 | 125 | ₹3125 |
| | Total | | | ₹9185 |
Let Us Solve (Final Division Practice)
1Show solution
2Show solution
3Show solution
4Show solution
5Show solution
6Show solution
7Show solution
8Show solution
9Show solution
10Show solution
11Show solution
12Show solution
Mathematical Statements
1Find out whether the following statements are True (T) or False (F).
(a)
(b)
(c)
(d)
(e) Show solution
(b) LHS: ; RHS:
(c) LHS: ; RHS:
(d) LHS: ; RHS:
(e) LHS: ; RHS:
2Complete the following statements such that they are true.
(a)
(b)
(c)
(d) Show solution
(b)
(c)
(d)
3Think about the following statements:
(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 for and 3 against. (Sometimes true)Show solution
Examples:
This is always true. We cannot find a counter-example because odd + odd = even always.
(b) 'Multiplying a number by 2 gives an odd number' — Never True
Any number 2 is always even (it is a multiple of 2).
All results are even. We cannot find any example where is odd.
(c) 'Halving a number always gives an even number' — Sometimes True
Examples where it IS true (halving gives even):
Examples where it is NOT true (halving gives odd):
4Tick in the appropriate cell for the following statements:
(i) Adding 10 to a number gives a multiple of ten.
(ii) Changing the order of the numbers in subtraction makes no difference.
(iii) In multiplication, doubling one number and halving the other keeps the product the same.
(iv) Multiplication by an odd number gives an even number.
(v) Multiplying a number by 5 leads to numbers which have '0' in the Ones place.Show solution
Example: (not a multiple of 10); (multiple of 10).
(ii) Changing the order of the numbers in subtraction makes no difference.
but (different result).
(iii) In multiplication, doubling one number and halving the other keeps the product the same.
; double 4 and halve 6: ✓. This works for all even numbers being halved.
However, if the number being halved is odd (e.g., ; ), it still holds mathematically but may not give whole numbers.
For whole number contexts: Sometimes True (works when the number being halved is even).
(iv) Multiplication by an odd number gives an even number.
(even); (odd). Depends on the other number.
(v) Multiplying a number by 5 leads to numbers which have '0' in the Ones place.
(ends in 0); (ends in 5); (ends in 0).
Multiples of 5 end in either 0 or 5, not always 0.
Summary Table:
| Statement | Always True | Sometimes True | Never True |
|---|---|---|---|
| (i) Adding 10 gives multiple of 10 | | ✓ | |
| (ii) Order in subtraction doesn't matter | | | ✓ |
| (iii) Double one, halve other — product same | | ✓ | |
| (iv) Multiplying by odd gives even | | ✓ | |
| (v) Multiplying by 5 gives '0' in ones place | | ✓ | |
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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