Question 35÷1
Find 35÷1.
Steps only
Every item remains one group of itself.
Answer
35.
CLASS 5 · MATHS MELA · CHAPTER 9
Coconut Farm
Connect multiplication and division, use mental and place-value strategies, interpret remainders and solve farm, market and sharing problems.
166 worked answersAll 7 exercise sets
What you will learn
- Use multiplication facts to divide efficiently.
- Explain quotient and remainder using N=D×Q+R.
- Decide when a remainder requires rounding up.
166 worked answers · short steps first, explanations when you need them
Division Facts and Place-Value Patterns
Textbook pages 119–121
Question Array rule
Write multiplication and division facts for an array with r rows and c columns.
Steps only
Total N=r×c.
Answer
r×c=N, N÷r=c and N÷c=r.
Question Circle products
Give factor pairs for the displayed product squares 72, 60, 48, 36, 24 and 40.
Steps only
72=8×9; 60=6×10; 48=6×8; 36=6×6; 24=4×6; 40=5×8.
Answer
One valid set of circle pairs is (8,9), (6,10), (6,8), (6,6), (4,6), (5,8).
Question Circle quotients
How are the circle values found around quotient squares?
Steps only
For A÷B=Q, choose or infer two values so A=B×Q.
Check every repeated circle against all neighbouring statements.
Answer
Use dividend=divisor×quotient for each link; retain only values that satisfy every repeated-circle constraint.
Question 1(a)
Complete 30×30 and its division facts.
Steps only
30×30=900.
900÷30=30 and 900÷30=30.
Answer
900; 900÷30=30 and 900÷30=30.
Question 1(b)
Complete 15×60 and its division facts.
Steps only
15×60=900.
900÷15=60 and 900÷60=15.
Answer
900; 900÷15=60 and 900÷60=15.
Question 1(c)
Complete 400×8 and its division facts.
Steps only
400×8=3200.
3,200÷400=8 and 3,200÷8=400.
Answer
3200; 3,200÷400=8 and 3,200÷8=400.
Question 1(d)
Complete 200×16 and its division facts.
Steps only
200×16=3200.
3,200÷200=16 and 3,200÷16=200.
Answer
3200; 3,200÷200=16 and 3,200÷16=200.
Question 2(a)
Find 150÷3.
Steps only
3×50=150.
Answer
50.
Question 2(b)
Find 100÷10.
Steps only
10×10=100.
Answer
10.
Question 2(c)
Find 200÷20.
Steps only
20×10=200.
Answer
10.
Question 2(d)
Find 80÷4.
Steps only
4×20=80.
Answer
20.
Question 2(e)
Find 300÷100.
Steps only
100×3=300.
Answer
3.
Question 2(f)
Find 440÷44.
Steps only
44×10=440.
Answer
10.
Question 2(g)
Find 500÷5.
Steps only
5×100=500.
Answer
100.
Question 2(h)
Find 500÷50.
Steps only
50×10=500.
Answer
10.
Question 2(i)
Find 630÷63.
Steps only
63×10=630.
Answer
10.
Question PV 1
Find 1000÷10.
Steps only
10×100=1000.
Answer
100.
Question PV 2
Find 2000÷2.
Steps only
2×1000=2000.
Answer
1000.
Question PV 3
Find 1000÷100.
Steps only
100×10=1000.
Answer
10.
Question PV 4
Find 2000÷20.
Steps only
20×100=2000.
Answer
100.
Question PV 5
Find 1600÷4.
Steps only
4×400=1600.
Answer
400.
Question PV 6
Find 3700÷37.
Steps only
37×100=3700.
Answer
100.
Question PV 7
Find 3300÷3.
Steps only
3×1100=3300.
Answer
1100.
Question PV 8
Find 3300÷300.
Steps only
300×11=3300.
Answer
11.
Question PV 9
Find 4000÷40.
Steps only
40×100=4000.
Answer
100.
Question Chart 1
Find 110÷11.
Steps only
11×10=110.
Answer
10.
Question Chart 2
Find 700÷70.
Steps only
70×10=700.
Answer
10.
Question Chart 3
Find 860÷86.
Steps only
86×10=860.
Answer
10.
Question Chart 4
Find 1400÷100.
Steps only
100×14=1400.
Answer
14.
Question Chart 5
Find 7500÷750.
Steps only
750×10=7500.
Answer
10.
Question Chart 6
Find 220÷20.
Steps only
20×11=220.
Answer
11.
Question Chart 7
Find 8800÷88.
Steps only
88×100=8800.
Answer
100.
Question Chart 8
Find 2200÷20.
Steps only
20×110=2200.
Answer
110.
Question Chart 9
Find 2400÷24.
Steps only
24×100=2400.
Answer
100.
Question Chart 10
Find 440÷22.
Steps only
22×20=440.
Answer
20.
Division in Context and Missing Numbers
Textbook pages 122
Question 1
Sabina cycles 160 km equally over 20 days.
Steps only
160÷20=8.
Answer
8 km per day.
Question 2
How many ₹100 notes make ₹4,200?
Steps only
4,200÷100=42.
Answer
42 notes.
Question 3
Share ₹5,500 among 5 employees.
Steps only
5,500÷5=1,100.
Answer
₹1,100 each.
Question 3 · ten employees
Share ₹5,500 among 10 employees and compare.
Steps only
5,500÷10=550.
Answer
₹550 each, which is less.
Question 3 · same gift
How much is needed for 10 employees to receive ₹1,100 each?
Steps only
10×1,100=11,000.
Answer
₹11,000.
Question 4
Place 1–8 once so the shown four operations are correct.
Steps only
Begin with the division because only exact factor pairs work.
Use remaining numbers in multiplication, then test the linked subtraction and addition.
Answer
More than one arrangement may work; verify that 1–8 appear once and all four displayed equations are true.
Question 5(a)
Complete __÷18=100.
Steps only
Use dividend=divisor×quotient.
Answer
1,800.
Question 5(b)
Complete __÷10=610.
Steps only
Use dividend=divisor×quotient.
Answer
6,100.
Question 5(c)
Complete __÷100=72.
Steps only
Use dividend=divisor×quotient.
Answer
7,200.
Question 5(d)
Complete __÷100=10.
Steps only
Use dividend=divisor×quotient.
Answer
1,000.
Question 5(e)
Complete 870÷__=87.
Steps only
Use dividend=divisor×quotient.
Answer
10.
Question 5(f)
Complete __÷__=70.
Steps only
Use dividend=divisor×quotient.
Answer
Example: 700÷10.
Question 5(g)
Complete 200÷100=__.
Steps only
Use dividend=divisor×quotient.
Answer
2.
Question 5(h)
Complete 130÷__=13.
Steps only
Use dividend=divisor×quotient.
Answer
10.
Mental Strategies for Division
Textbook pages 123–124
Question Example 1
Find 1,248÷6 mentally.
Steps only
1,248=1,200+48.
1,200÷6=200 and 48÷6=8.
Answer
208.
Question Example 2
Find 1,992÷4 mentally.
Steps only
1,992=2,000−8.
2,000÷4−8÷4=500−2.
Answer
498.
Question Five examples
Give five divisions suited to splitting.
Steps only
936÷6=(900+36)÷6=156.
1,515÷5=(1,500+15)÷5=303.
2,488÷8=(2,400+88)÷8=311.
3,960÷9=(3,600+360)÷9=440.
4,995÷5=(5,000−5)÷5=999.
Answer
Examples give 156, 303, 311, 440 and 999.
Question Halving
Why does halving twice divide by 4, and halving thrice divide by 8?
Steps only
1/2×1/2=1/4; one more half gives 1/8.
Answer
Use repeated halving for divisors 2, 4, 8 and other powers of 2.
Question Try 1
Find 64÷4.
Steps only
4×16=64.
Answer
16.
Question Try 2
Find 265÷5.
Steps only
5×53=265.
Answer
53.
Question Try 3
Find 1560÷8.
Steps only
8×195=1560.
Answer
195.
Question Try 4
Find 4824÷24.
Steps only
24×201=4824.
Answer
201.
Question Try 5
Find 168÷8.
Steps only
8×21=168.
Answer
21.
Question Try 6
Find 144÷4.
Steps only
4×36=144.
Answer
36.
Question Solve (a)
Find 256÷4.
Steps only
4×64=256.
Answer
64.
Question Solve (b)
Find 545÷5.
Steps only
5×109=545.
Answer
109.
Question Solve (c)
Find 147÷7.
Steps only
7×21=147.
Answer
21.
Question Solve (d)
Find 1212÷6.
Steps only
6×202=1212.
Answer
202.
Question Solve (e)
Find 648÷12.
Steps only
12×54=648.
Answer
54.
Question Solve (f)
Find 9648÷48.
Steps only
48×201=9648.
Answer
201.
Question Solve (g)
Find 775÷25.
Steps only
25×31=775.
Answer
31.
Question Solve (h)
Find 796÷4.
Steps only
4×199=796.
Answer
199.
Coconut Farm, Remainders and Oil
Textbook pages 124–128
Question Farm 1
Share 582 coconuts among 6 customers.
Steps only
582÷6=97.
Check: 6×97=582.
Answer
97 coconuts each.
Question Farm 1 · bags
How many 25-coconut bags hold each customer’s 97 coconuts?
Steps only
97÷25=3 remainder 22.
Three bags hold 75, so another is needed.
Answer
4 bags per customer.
Question Farm 2
After selling 582 of 1,117 coconuts, how many 25-coconut bags are needed?
Steps only
1,117−582=535.
535÷25=21 remainder 10.
Answer
22 bags: 21 full and 1 partly filled.
Question 726÷4
Find 726÷4.
Steps only
4×181=724; 726-724=2.
Answer
181 remainder 2.
Question 902÷16
Find 902÷16.
Steps only
16×56=896; 902-896=6.
Answer
56 remainder 6.
Question Remainder rule
State the relationship among dividend, divisor, quotient and remainder.
Steps only
Multiply divisor and quotient, then add what remains.
Answer
N=D×Q+R, with 0≤R<D.
Question Word 1
Rani needs at least 250 samosas. Choose packs of 6 or 8.
Steps only
Packs of 6: 250÷6=41 r4, so 42 packs give 252.
Packs of 8: 250÷8=31 r2, so 32 packs give 256.
Answer
Buy 42 packs of 6; only 2 samosas are extra, compared with 6 extra using packs of 8.
Question Word 2
342 students use buses holding 41 each.
Steps only
41×8=328, leaving 14 students.
Answer
9 buses.
Question Word 3
Make ₹520 using only ₹50 and ₹20 notes.
Steps only
Solve 50a+20b=520, or 5a+2b=52.
Answer
(₹50 notes, ₹20 notes): (0,26), (2,21), (4,16), (6,11), (8,6), (10,1).
Question Word 4
Share picnic costs ₹157, ₹124 and ₹136 among 3 friends.
Steps only
Total=157+124+136=417.
417÷3=139.
Answer
₹139 each.
Question 5(a)
Find 887÷3.
Steps only
3×295=885; 887-885=2.
Answer
295 remainder 2.
Question 5(b)
Find 283÷8.
Steps only
8×35=280; 283-280=3.
Answer
35 remainder 3.
Question 5(c)
Find 745÷5.
Steps only
5×149=745.
Answer
149.
Question 5(d)
Find 767÷26.
Steps only
26×29=754; 767-754=13.
Answer
29 remainder 13.
Question 5(e)
Find 530÷41.
Steps only
41×12=492; 530-492=38.
Answer
12 remainder 38.
Question 5(f)
Find 888÷67.
Steps only
67×13=871; 888-871=17.
Answer
13 remainder 17.
Question Oil 1
Eight coconuts make 1 L oil. Find oil from 4,376 coconuts.
Steps only
4,376÷8=547.
Answer
547 L.
Question Oil earnings
Sell 547 L at ₹175 per litre.
Steps only
547×175=547×(100+75)=54,700+41,025.
Answer
₹95,725.
Question Husk
At ₹23 per kg, ₹9,913 was earned. Find kilograms.
Steps only
9,913÷23=431.
Check: 431×23=9,913.
Answer
431 kg.
Question Tender coconuts
At ₹35 each, sales total ₹8,890. Find number sold.
Steps only
8,890÷35=254.
Answer
254 coconuts.
Question Tender profit
The 254 coconuts cost ₹20 each and sold for ₹8,890. Find extra earnings.
Steps only
Cost=254×20=5,080.
8,890−5,080=3,810.
Answer
₹3,810.
Division Using Place Value
Textbook pages 128–131
Question 1
Find 62÷5.
Steps only
5×12=60; 62-60=2.
Answer
12 remainder 2.
Question 2
Find 75÷8.
Steps only
8×9=72; 75-72=3.
Answer
9 remainder 3.
Question 3
Find 324÷3.
Steps only
3×108=324.
Answer
108.
Question 4
Find 136÷6.
Steps only
6×22=132; 136-132=4.
Answer
22 remainder 4.
Question Zero in quotient
Why is there a 0 in 324÷3=108?
Steps only
Three hundreds divide into one hundred.
Two tens cannot give one ten to each group, so the tens digit is 0; regroup as 20 ones.
Answer
The zero holds the tens place in 108.
Question Quotient digits
How can you predict the number of quotient digits?
Steps only
Compare the first digit or leading group of the dividend with the divisor.
If it is too small, the quotient begins one place later.
Answer
Locate the highest place value that can contain at least one divisor; that is the quotient’s first place.
Question Let Divide (a)
Find 7032÷6.
Steps only
6×1172=7032.
Answer
1172.
Question Let Divide (b)
Find 3005÷5.
Steps only
5×601=3005.
Answer
601.
Question Let Divide (c)
Find 2874÷14.
Steps only
14×205=2870; 2874-2870=4.
Answer
205 remainder 4.
Question Let Divide (d)
Find 9805÷32.
Steps only
32×306=9792; 9805-9792=13.
Answer
306 remainder 13.
Question Missing divisions
Fill the long-division blanks so there is no remainder.
Steps only
Use the shown divisor and partial dividend to test digits 0–9.
At every stage, subtract divisor×quotient digit and bring down the next digit.
A correct completion finishes at remainder 0.
Answer
Some displayed puzzles allow several digit choices; accept every completion that uses valid digits and ends with zero remainder.
Question Number riddle
A three-digit number divided by 5 is 42 and doubled is 420.
Steps only
42×5=210; 420÷2=210.
Answer
210.
Let Us Solve
Textbook pages 132–133
Question 1(a)
A 45-seat theatre must seat 475 people. Find shows.
Steps only
475÷45=10 remainder 25.
Answer
11 shows.
Question 1(b)
There are 2 shows per day. How many days for 11 shows?
Steps only
11÷2=5 remainder 1.
Answer
6 days.
Question 2
From 5 kg ice cream, 400 g remains; 23 friends share the rest.
Steps only
5,000−400=4,600 g.
4,600÷23=200.
Answer
200 g each.
Question 3
Fifteen packs of 8 biscuits serve 6 people for 4 days. Find each person’s daily share.
Steps only
Total=15×8=120.
120÷6=20 per person for trip; 20÷4=5.
Answer
5 biscuits per person per day.
Question 4(a)
Find 9045÷5.
Steps only
5×1809=9045.
Answer
1809.
Question 4(b)
Find 1034÷4.
Steps only
4×258=1032; 1034-1032=2.
Answer
258 remainder 2.
Question 4(c)
Find 2504÷7.
Steps only
7×357=2499; 2504-2499=5.
Answer
357 remainder 5.
Question 4(d)
Find 8900÷15.
Steps only
15×593=8895; 8900-8895=5.
Answer
593 remainder 5.
Question 4(e)
Find 9876÷32.
Steps only
32×308=9856; 9876-9856=20.
Answer
308 remainder 20.
Question 4(f)
Find 7506÷24.
Steps only
24×312=7488; 7506-7488=18.
Answer
312 remainder 18.
Question 5A(b)
Find 340÷17.
Steps only
17×20=340.
Answer
20.
Question 5A(c)
Find 680÷17.
Steps only
17×40=680.
Answer
40.
Question 5A(d)
Find 680÷34.
Steps only
34×20=680.
Answer
20.
Question 5A(e)
Find 170÷17.
Steps only
17×10=170.
Answer
10.
Question 5A(f)
Find 680÷68.
Steps only
68×10=680.
Answer
10.
Question 5B(b)
Find 192÷8.
Steps only
8×24=192.
Answer
24.
Question 5B(c)
Find 384÷8.
Steps only
8×48=384.
Answer
48.
Question 5B(d)
Find 384÷4.
Steps only
4×96=384.
Answer
96.
Question 5B(e)
Find 384÷8.
Steps only
8×48=384.
Answer
48.
Question 5B(f)
Find 86÷2.
Steps only
2×43=86.
Answer
43.
Question 5C(b)
Find 704÷22.
Steps only
22×32=704.
Answer
32.
Question 5C(c)
Find 704÷11.
Steps only
11×64=704.
Answer
64.
Question 5C(d)
Find 352÷22.
Steps only
22×16=352.
Answer
16.
Question 5C(e)
Find 1408÷44.
Steps only
44×32=1408.
Answer
32.
Question 6(a)
Cover 576 km in 12 equal days.
Steps only
576÷12=48.
Answer
48 km per day.
Question 6(b)
After Ratnagiri, find daily distance to Goa over 4 cycling days.
Steps only
The remaining Ratnagiri–Goa distance is required.
Daily distance=(576−distance already covered to Ratnagiri)÷4.
Answer
If the route diagram gives 336 km covered at Ratnagiri, 240 km remains and the answer is 60 km per cycling day.
Question 7(a)
Six baskets hold 12 mangoes each. Find earnings.
Steps only
Total mangoes=6×12=72.
A selling price per mango or per basket is missing.
Answer
Need the selling price; earnings=72×price per mango, or 6×price per basket.
Question 7(b)
Eight classrooms have equal desks. Find desks per classroom.
Steps only
The total number of desks is missing.
Answer
Need total desks; answer=total desks÷8.
Question 7(c)
Five cricket bats cost ₹3,500.
Steps only
3,500÷5=700.
Answer
₹700 per bat.
Question 7(d)
A restaurant sells 125 idli plates for ₹6,250. Find idlis per plate.
Steps only
₹6,250÷125=₹50 per plate, but this does not reveal the number of idlis.
Answer
Need the number of idlis made or the price per idli; the given facts only show ₹50 per plate.
Question 8
How many bookshelves can be made from the listed stock?
Steps only
Long panels:264÷4=66; short:306÷8=38 full.
Small clips:2,400÷16=150; large clips:120÷4=30; screws:2,800÷32=87 full.
Answer
30 bookshelves; large clips run out first.
Vegetable Market and Mathematical Statements
Textbook pages 134–135
Question Market 1
Find amount for 78 kg radish at ₹26/kg.
Steps only
78×26=2,028.
Answer
₹2,028.
Question Market 2
₹2,240 potatoes at ₹20/kg: find quantity.
Steps only
2,240÷20=112.
Answer
112 kg.
Question Market 3
Find amount for 56 kg cabbage at ₹32/kg.
Steps only
56×32=1,792.
Answer
₹1,792.
Question Market 4
125 kg peas earn ₹3,125. Find price per kg.
Steps only
3,125÷125=25.
Answer
₹25 per kg.
Question Market total
Find total market earnings.
Steps only
2,028+2,240+1,792+3,125=9,185.
Answer
₹9,185.
Question Divide 1
Find 506÷5.
Steps only
5×101=505; 506-505=1.
Answer
101 remainder 1.
Question Divide 2
Find 918÷8.
Steps only
8×114=912; 918-912=6.
Answer
114 remainder 6.
Question Divide 3
Find 8126÷7.
Steps only
7×1160=8120; 8126-8120=6.
Answer
1160 remainder 6.
Question Divide 4
Find 9324÷4.
Steps only
4×2331=9324.
Answer
2331.
Question Divide 5
Find 876÷6.
Steps only
6×146=876.
Answer
146.
Question Divide 6
Find 7008÷3.
Steps only
3×2336=7008.
Answer
2336.
Question Divide 7
Find 934÷12.
Steps only
12×77=924; 934-924=10.
Answer
77 remainder 10.
Question Divide 8
Find 829÷23.
Steps only
23×36=828; 829-828=1.
Answer
36 remainder 1.
Question Divide 9
Find 705÷18.
Steps only
18×39=702; 705-702=3.
Answer
39 remainder 3.
Question Divide 10
Find 8704÷32.
Steps only
32×272=8704.
Answer
272.
Question Divide 11
Find 6790÷45.
Steps only
45×150=6750; 6790-6750=40.
Answer
150 remainder 40.
Question Divide 12
Find 5074÷21.
Steps only
21×241=5061; 5074-5061=13.
Answer
241 remainder 13.
Question Statement 1(a)
Decide: 8×9=70+2.
Steps only
Evaluate both sides independently.
Answer
True; both sides are 72.
Question Statement 1(b)
Decide: 20−6=7×3.
Steps only
Evaluate both sides independently.
Answer
False; 14≠21.
Question Statement 1(c)
Decide: 48÷3=4×4.
Steps only
Evaluate both sides independently.
Answer
True; both sides are 16.
Question Statement 1(d)
Decide: 89−9=90+0.
Steps only
Evaluate both sides independently.
Answer
False; 80≠90.
Question Statement 1(e)
Decide: 25+10=45−10.
Steps only
Evaluate both sides independently.
Answer
True; both sides are 35.
Question Statement 2(a)
Complete 7×6=__+17.
Steps only
Evaluate the known side, then undo the remaining operation.
Answer
25.
Question Statement 2(b)
Complete 87+6=__×31.
Steps only
Evaluate the known side, then undo the remaining operation.
Answer
3.
Question Statement 2(c)
Complete 63+__=74−4.
Steps only
Evaluate the known side, then undo the remaining operation.
Answer
7.
Question Statement 2(d)
Complete __÷9=16÷2.
Steps only
Evaluate the known side, then undo the remaining operation.
Answer
72.
Question Statement 3(a)
Can odd+odd ever be odd? Give examples.
Steps only
3+5=8, 7+9=16, 11+13=24, 15+17=32, 21+23=44.
Answer
Always even; no counterexample exists.
Question Statement 3(b)
Can twice a whole number be odd?
Steps only
2n is made of pairs.
Answer
No; it is never odd.
Question Statement 3(c)
Does halving always give an even whole number?
Steps only
True examples:8÷2=4, 12÷2=6, 16÷2=8.
False examples:6÷2=3, 10÷2=5, 14÷2=7.
Answer
Sometimes true.
Question Statement 4(a)
Adding 10 gives a multiple of ten
Steps only
Test examples that work and examples that do not.
Answer
Sometimes true.
Question Statement 4(b)
Reversing subtraction makes no difference
Steps only
Test examples that work and examples that do not.
Answer
Sometimes true.
Question Statement 4(c)
Doubling one factor and halving the other keeps a whole-number product
Steps only
Test examples that work and examples that do not.
Answer
Sometimes true.
Question Statement 4(d)
Multiplication by an odd number gives an even number
Steps only
Test examples that work and examples that do not.
Answer
Sometimes true.
Question Statement 4(e)
Multiplying by 5 gives 0 in the ones place
Steps only
Test examples that work and examples that do not.
Answer
Sometimes true.