New NCERT · Maths Mela · Chapter 4

We the Travellers - II Class 5 Solutions

One textbook prompt at a time, with the complete diagram or table and clear working suited to a Grade 5 learner.

144 solved items15 textbook pagesReviewed for 2026-27
Questions from Class 5 Maths Chapter 4, We the Travellers - II
Question preview

Read the prompt, attempt it, then check each step

Every exercise subpart and table row is a separate item. Shared figures and table headings are repeated whenever they are needed to understand the question.

Detailed worked answers

Textbook page 42

Textbook page 42 · solved item 1

NCERT Class 5 Maths Chapter 4, solved question 1
Question from the current NCERT textbook

In puzzle (a), interchange the least number of pairs to make both group sums equal.

Show detailed solution
  1. Step 1: The left group totals 19 and the right group totals 21, so the left side needs to gain 1 while the right side loses 1.
  2. Step 2: Interchange 2 from the left with 3 from the right. The two totals become 19-2+3=20 and 21-3+2=20.
  3. Answer: Interchange 2 and 3. Both groups then have sum 20.

Textbook page 42 · solved item 2

NCERT Class 5 Maths Chapter 4, solved question 2
Question from the current NCERT textbook

In puzzle (b), interchange the least number of pairs to make both group sums equal.

Show detailed solution
  1. Step 1: The left group totals 39 and the right group totals 47, so each final group must total 43.
  2. Step 2: Interchange 5 from the left with 9 from the right. The left gains 4 and the right loses 4.
  3. Answer: Interchange 5 and 9. Both groups then have sum 43.

Textbook page 42 · solved item 3

NCERT Class 5 Maths Chapter 4, solved question 3
Question from the current NCERT textbook

In puzzle (c), interchange the least number of pairs to make both group sums equal.

Show detailed solution
  1. Step 1: The two sums are 68 and 76, so both must become 72.
  2. Step 2: Interchange 11 with 13 and 15 with 17. Together, these moves add 4 to the left and remove 4 from the right.
  3. Answer: Two pair interchanges work: 11\leftrightarrow13 and 15\leftrightarrow17. Both sums become 72.

Textbook page 42 · solved item 4

NCERT Class 5 Maths Chapter 4, solved question 4
Question from the current NCERT textbook

In puzzle (d), interchange the least number of pairs to make both group sums equal.

Show detailed solution
  1. Step 1: The two sums are 314 and 330, so both must become 322.
  2. Step 2: Interchange 77 with 81 and 78 with 82. Each interchange adds 4 to the left, for a total gain of 8.
  3. Answer: These two pair interchanges make both group sums 322.

Detailed worked answers

Textbook page 43

Textbook page 43 · solved item 5

NCERT Class 5 Maths Chapter 4, solved question 5
Question from the current NCERT textbook

A lorry has 28 litres of fuel and 75 more litres are filled. How much fuel is there now?

Show detailed solution
  1. Step 1: Add the ones: 8+5=13. Write 3 ones and regroup 10 ones as 1 ten.
  2. Step 2: Add the tens: 2+7+1=10 tens, which is 1 hundred and 0 tens.
  3. Answer: 28+75=103. The lorry has 103 litres of fuel.

Textbook page 43 · solved item 6

NCERT Class 5 Maths Chapter 4, solved question 6
Question from the current NCERT textbook

Find the sum of 49 and 89.

Show detailed solution
  1. Step 1: Add the ones: 9+9=18. Write 8 and regroup 1 ten.
  2. Step 2: Add the tens: 4+8+1=13 tens.
  3. Answer: 49+89=138.

Textbook page 43 · solved item 7

NCERT Class 5 Maths Chapter 4, solved question 7
Question from the current NCERT textbook

Find the sum: 15+79.

Show detailed solution
  1. Step 1: Line up the ones, tens, hundreds, and larger places correctly.
  2. Step 2: Add 5 and 9 to get 14; write 4, regroup 1 ten, then add the tens to get 9 tens.
  3. Answer: 15+79=94.

Textbook page 43 · solved item 8

NCERT Class 5 Maths Chapter 4, solved question 8
Question from the current NCERT textbook

Find the sum: 46+99.

Show detailed solution
  1. Step 1: Line up the ones, tens, hundreds, and larger places correctly.
  2. Step 2: Use 99=100-1: 46+100=146, then take away 1 to get 145.
  3. Answer: 46+99=145.

Textbook page 43 · solved item 9

NCERT Class 5 Maths Chapter 4, solved question 9
Question from the current NCERT textbook

Find the sum: 38+35.

Show detailed solution
  1. Step 1: Line up the ones, tens, hundreds, and larger places correctly.
  2. Step 2: Add the ones to get 13, regroup 1 ten, and then add 3+3+1=7 tens.
  3. Answer: 38+35=73.

Textbook page 43 · solved item 10

NCERT Class 5 Maths Chapter 4, solved question 10
Question from the current NCERT textbook

Find the sum: 5+89.

Show detailed solution
  1. Step 1: Line up the ones, tens, hundreds, and larger places correctly.
  2. Step 2: Add 5 to the 9 ones: 14 ones are 1 ten and 4 ones, making 94.
  3. Answer: 5+89=94.

Textbook page 43 · solved item 11

NCERT Class 5 Maths Chapter 4, solved question 11
Question from the current NCERT textbook

Find the sum: 76+28.

Show detailed solution
  1. Step 1: Line up the ones, tens, hundreds, and larger places correctly.
  2. Step 2: Add the ones to get 14, then add 7+2+1=10 tens.
  3. Answer: 76+28=104.

Textbook page 43 · solved item 12

NCERT Class 5 Maths Chapter 4, solved question 12
Question from the current NCERT textbook

Find the sum: 69+20.

Show detailed solution
  1. Step 1: Line up the ones, tens, hundreds, and larger places correctly.
  2. Step 2: Adding 20 increases the tens by 2 while the 9 ones stay unchanged.
  3. Answer: 69+20=89.

Detailed worked answers

Textbook page 44

Textbook page 44 · solved item 13

NCERT Class 5 Maths Chapter 4, solved question 13
Question from the current NCERT textbook

Fill both blanks in relationship (a).

Show detailed solution
  1. Step 1: Addition joins two parts to make a total; subtraction removes one part from that total.
  2. Step 2: Since 46+21=67, subtracting either part from 67 leaves the other part.
  3. Answer: 67-21=46 and 67-46=21.

Textbook page 44 · solved item 14

NCERT Class 5 Maths Chapter 4, solved question 14
Question from the current NCERT textbook

Fill both blanks in relationship (b).

Show detailed solution
  1. Step 1: Addition joins two parts to make a total; subtraction removes one part from that total.
  2. Step 2: Since 198-98=100, adding the removed part back gives 198.
  3. Answer: 100+98=198 and 198-100=98.

Textbook page 44 · solved item 15

NCERT Class 5 Maths Chapter 4, solved question 15
Question from the current NCERT textbook

Fill both blanks in relationship (c).

Show detailed solution
  1. Step 1: Addition joins two parts to make a total; subtraction removes one part from that total.
  2. Step 2: Since 189+98=287, subtracting one part from 287 leaves the other.
  3. Answer: 287-98=189 and 287-189=98.

Textbook page 44 · solved item 16

NCERT Class 5 Maths Chapter 4, solved question 16
Question from the current NCERT textbook

Fill both blanks in relationship (d).

Show detailed solution
  1. Step 1: Addition joins two parts to make a total; subtraction removes one part from that total.
  2. Step 2: Since 872-672=200, adding 672 back gives 872.
  3. Answer: 200+672=872 and 872-200=672.

Textbook page 44 · solved item 17

NCERT Class 5 Maths Chapter 4, solved question 17
Question from the current NCERT textbook

Write the related addition and subtraction sentences for (a): 78 + 164 = 242.

Show detailed solution
  1. Step 1: Identify the whole and the two parts in the given fact.
  2. Step 2: Subtract either part from the whole to find the other part; for a subtraction fact, add the difference and removed part to rebuild the whole.
  3. Answer: 242-78=164 and 242-164=78.

Textbook page 44 · solved item 18

NCERT Class 5 Maths Chapter 4, solved question 18
Question from the current NCERT textbook

Write the related addition and subtraction sentences for (b): 462 + 839 = 1,301.

Show detailed solution
  1. Step 1: Identify the whole and the two parts in the given fact.
  2. Step 2: Subtract either part from the whole to find the other part; for a subtraction fact, add the difference and removed part to rebuild the whole.
  3. Answer: 1,301-462=839 and 1,301-839=462.

Textbook page 44 · solved item 19

NCERT Class 5 Maths Chapter 4, solved question 19
Question from the current NCERT textbook

Write the related addition and subtraction sentences for (c): 921 - 137 = 784.

Show detailed solution
  1. Step 1: Identify the whole and the two parts in the given fact.
  2. Step 2: Subtract either part from the whole to find the other part; for a subtraction fact, add the difference and removed part to rebuild the whole.
  3. Answer: 784+137=921 and 921-784=137.

Textbook page 44 · solved item 20

NCERT Class 5 Maths Chapter 4, solved question 20
Question from the current NCERT textbook

Write the related addition and subtraction sentences for (d): 824 - 234 = 590.

Show detailed solution
  1. Step 1: Identify the whole and the two parts in the given fact.
  2. Step 2: Subtract either part from the whole to find the other part; for a subtraction fact, add the difference and removed part to rebuild the whole.
  3. Answer: 590+234=824 and 824-590=234.

Textbook page 44 · solved item 21

NCERT Class 5 Maths Chapter 4, solved question 21
Question from the current NCERT textbook

A minibus had 18 litres of fuel and shows 65 litres after refuelling. How much fuel was added?

Show detailed solution
  1. Step 1: Subtract the fuel already present from the final amount: 65-18.
  2. Step 2: Regroup 65 as 5 tens and 15 ones. Then 15-8=7 and 5-1=4.
  3. Step 3: Check by adding: 18+47=65.
  4. Answer: 47 litres of fuel were added.

Detailed worked answers

Textbook page 45

Textbook page 45 · solved item 22

NCERT Class 5 Maths Chapter 4, solved question 22
Question from the current NCERT textbook

What is the difference between 82 and 37?

Show detailed solution
  1. Step 1: Line up equal place values before subtracting.
  2. Step 2: Regroup 82 as 7 tens and 12 ones; 12-7=5 and 7-3=4. Check that 37+45=82.
  3. Answer: 82-37=45.

Textbook page 45 · solved item 23

NCERT Class 5 Maths Chapter 4, solved question 23
Question from the current NCERT textbook

Subtract: 57-11.

Show detailed solution
  1. Step 1: Line up equal place values before subtracting.
  2. Step 2: Subtract 1 one and then 1 ten.
  3. Answer: 57-11=46.

Textbook page 45 · solved item 24

NCERT Class 5 Maths Chapter 4, solved question 24
Question from the current NCERT textbook

Subtract: 23-19.

Show detailed solution
  1. Step 1: Line up equal place values before subtracting.
  2. Step 2: Regroup 23 as 1 ten and 13 ones; 13-9=4 and 1-1=0.
  3. Answer: 23-19=4.

Textbook page 45 · solved item 25

NCERT Class 5 Maths Chapter 4, solved question 25
Question from the current NCERT textbook

Subtract: 49-21.

Show detailed solution
  1. Step 1: Line up equal place values before subtracting.
  2. Step 2: Subtract 1 one to get 8 ones and 2 tens to get 2 tens.
  3. Answer: 49-21=28.

Textbook page 45 · solved item 26

NCERT Class 5 Maths Chapter 4, solved question 26
Question from the current NCERT textbook

Subtract: 56-18.

Show detailed solution
  1. Step 1: Line up equal place values before subtracting.
  2. Step 2: Regroup 56 as 4 tens and 16 ones; 16-8=8 and 4-1=3.
  3. Answer: 56-18=38.

Textbook page 45 · solved item 27

NCERT Class 5 Maths Chapter 4, solved question 27
Question from the current NCERT textbook

Subtract: 93-35.

Show detailed solution
  1. Step 1: Line up equal place values before subtracting.
  2. Step 2: Regroup 93 as 8 tens and 13 ones; 13-5=8 and 8-3=5.
  3. Answer: 93-35=58.

Textbook page 45 · solved item 28

NCERT Class 5 Maths Chapter 4, solved question 28
Question from the current NCERT textbook

Subtract: 84-23.

Show detailed solution
  1. Step 1: Line up equal place values before subtracting.
  2. Step 2: Subtract 3 ones from 4 and 2 tens from 8.
  3. Answer: 84-23=61.

Textbook page 45 · solved item 29

NCERT Class 5 Maths Chapter 4, solved question 29
Question from the current NCERT textbook

Subtract: 70-43.

Show detailed solution
  1. Step 1: Line up equal place values before subtracting.
  2. Step 2: Regroup 70 as 6 tens and 10 ones; 10-3=7 and 6-4=2.
  3. Answer: 70-43=27.

Textbook page 45 · solved item 30

NCERT Class 5 Maths Chapter 4, solved question 30
Question from the current NCERT textbook

Subtract: 65-47.

Show detailed solution
  1. Step 1: Line up equal place values before subtracting.
  2. Step 2: Regroup 65 as 5 tens and 15 ones; 15-7=8 and 5-4=1.
  3. Answer: 65-47=18.

Textbook page 45 · solved item 31

NCERT Class 5 Maths Chapter 4, solved question 31
Question from the current NCERT textbook

State whether the displayed sums of 2 consecutive numbers are even or odd, and explain.

Show detailed solution
  1. Step 1: Check all four sums in the matching green box.
  2. Step 2: One number is even and the next is odd. An even number plus an odd number is odd.
  3. Answer: The sums are odd.

Textbook page 45 · solved item 32

NCERT Class 5 Maths Chapter 4, solved question 32
Question from the current NCERT textbook

State whether the displayed sums of 3 consecutive numbers are even or odd, and explain.

Show detailed solution
  1. Step 1: Check all four sums in the matching green box.
  2. Step 2: Each new sum is 3 more than the last. Adding an odd number changes even to odd and odd to even.
  3. Answer: The sums are alternately even and odd.

Textbook page 45 · solved item 33

NCERT Class 5 Maths Chapter 4, solved question 33
Question from the current NCERT textbook

State whether the displayed sums of 4 consecutive numbers are even or odd, and explain.

Show detailed solution
  1. Step 1: Check all four sums in the matching green box.
  2. Step 2: Every group has two even and two odd numbers. The two odd numbers make an even sum, so the total is even.
  3. Answer: The sums are even.

Textbook page 45 · solved item 34

NCERT Class 5 Maths Chapter 4, solved question 34
Question from the current NCERT textbook

What is the difference between successive displayed sums of 2 consecutive numbers?

Show detailed solution
  1. Step 1: Read the sums in order: 3, 5, 7, 9.
  2. Step 2: Subtract each sum from the next. Every difference is 2.
  3. Answer: The difference stays the same throughout and is 2.

Textbook page 45 · solved item 35

NCERT Class 5 Maths Chapter 4, solved question 35
Question from the current NCERT textbook

What is the difference between successive displayed sums of 3 consecutive numbers?

Show detailed solution
  1. Step 1: Read the sums in order: 6, 9, 12, 15.
  2. Step 2: Subtract each sum from the next. Every difference is 3.
  3. Answer: The difference stays the same throughout and is 3.

Textbook page 45 · solved item 36

NCERT Class 5 Maths Chapter 4, solved question 36
Question from the current NCERT textbook

What is the difference between successive displayed sums of 4 consecutive numbers?

Show detailed solution
  1. Step 1: Read the sums in order: 10, 14, 18, 22.
  2. Step 2: Subtract each sum from the next. Every difference is 4.
  3. Answer: The difference stays the same throughout and is 4.

Textbook page 45 · solved item 37

NCERT Class 5 Maths Chapter 4, solved question 37
Question from the current NCERT textbook

What is the difference between successive sums of 5 consecutive numbers?

Show detailed solution
  1. Step 1: Moving to the next group removes the first number and adds a number 5 greater than it.
  2. Step 2: The new sum therefore increases by 5.
  3. Answer: The difference is 5.

Textbook page 45 · solved item 38

NCERT Class 5 Maths Chapter 4, solved question 38
Question from the current NCERT textbook

What is the difference between successive sums of 6 consecutive numbers?

Show detailed solution
  1. Step 1: Moving to the next group removes the first number and adds a number 6 greater than it.
  2. Step 2: The new sum therefore increases by 6.
  3. Answer: The difference is 6.

Detailed worked answers

Textbook page 46

Textbook page 46 · solved item 39

NCERT Class 5 Maths Chapter 4, solved question 39
Question from the current NCERT textbook

Find 67+68+69 without adding every number one by one.

Show detailed solution
  1. Step 1: Line up the ones, tens, hundreds, and larger places correctly.
  2. Step 2: 68 is the middle number, so the total is three groups of 68: 68+68+68=204.
  3. Answer: 67+68+69=204.

Textbook page 46 · solved item 40

NCERT Class 5 Maths Chapter 4, solved question 40
Question from the current NCERT textbook

Find 24+25+26+27 without adding every number one by one.

Show detailed solution
  1. Step 1: Line up the ones, tens, hundreds, and larger places correctly.
  2. Step 2: Pair the ends: 24+27=51 and 25+26=51; then 51+51=102.
  3. Answer: 24+25+26+27=102.

Textbook page 46 · solved item 41

NCERT Class 5 Maths Chapter 4, solved question 41
Question from the current NCERT textbook

Find 48+49+50+51+52 without adding every number one by one.

Show detailed solution
  1. Step 1: Line up the ones, tens, hundreds, and larger places correctly.
  2. Step 2: 50 is the middle number, so five balanced numbers total 5\times50=250.
  3. Answer: 48+49+50+51+52=250.

Textbook page 46 · solved item 42

NCERT Class 5 Maths Chapter 4, solved question 42
Question from the current NCERT textbook

Find 237+238+239+240+241+242 without adding every number one by one.

Show detailed solution
  1. Step 1: Line up the ones, tens, hundreds, and larger places correctly.
  2. Step 2: Pair the ends. Each pair totals 479, and 479+479+479=1,437.
  3. Answer: 237+238+239+240+241+242=1,437.

Textbook page 46 · solved item 43

NCERT Class 5 Maths Chapter 4, solved question 43
Question from the current NCERT textbook

A point on the North-South Corridor was 1,855 km from Srinagar and 1,862 km from Kanniyakumari. What was the corridor's total length?

Show detailed solution
  1. Step 1: The two distances meet at the same point, so add them: 1,855+1,862.
  2. Step 2: Add by place value: ones give 7, tens give 11 tens, hundreds give 17 hundreds after regrouping, and thousands give 3.
  3. Step 3: Check the size: two distances a little under 1,900 km should total a little under 3,800 km.
  4. Answer: The North-South Corridor was 3,717 km long in 2019.

Detailed worked answers

Textbook page 47

Textbook page 47 · solved item 44

NCERT Class 5 Maths Chapter 4, solved question 44
Question from the current NCERT textbook

Mahesh spends ₹21,880 on fuel and tolls and ₹38,900 on other expenses. How much does he spend in total?

Show detailed solution
  1. Step 1: Add the two amounts: 21,880+38,900.
  2. Step 2: Add by place value, regrouping 10 hundreds as 1 thousand and 10 thousands as 1 ten-thousand.
  3. Step 3: The sum is 60,780, which is sensible because ₹22,000 and ₹39,000 are about ₹61,000.
  4. Answer: Mahesh spends ₹60,780 in total.

Detailed worked answers

Textbook page 48

Textbook page 48 · solved item 45

NCERT Class 5 Maths Chapter 4, solved question 45
Question from the current NCERT textbook

Find the sum: 238+367.

Show detailed solution
  1. Step 1: Line up the ones, tens, hundreds, and larger places correctly.
  2. Step 2: The ones make 15, the tens make 10 after regrouping, and the hundreds make 6.
  3. Answer: 238+367=605.

Textbook page 48 · solved item 46

NCERT Class 5 Maths Chapter 4, solved question 46
Question from the current NCERT textbook

Find the sum: 1,234+12,345.

Show detailed solution
  1. Step 1: Line up the ones, tens, hundreds, and larger places correctly.
  2. Step 2: Add each place from ones to ten-thousands; no place is skipped.
  3. Answer: 1,234+12,345=13,579.

Textbook page 48 · solved item 47

NCERT Class 5 Maths Chapter 4, solved question 47
Question from the current NCERT textbook

Find the sum: 12+123.

Show detailed solution
  1. Step 1: Line up the ones, tens, hundreds, and larger places correctly.
  2. Step 2: Write 12 under the tens and ones of 123, then add each place.
  3. Answer: 12+123=135.

Textbook page 48 · solved item 48

NCERT Class 5 Maths Chapter 4, solved question 48
Question from the current NCERT textbook

Find the sum: 46,120+12,890.

Show detailed solution
  1. Step 1: Line up the ones, tens, hundreds, and larger places correctly.
  2. Step 2: The ones are 0; the tens make 11 tens, and regrouping continues into the thousands.
  3. Answer: 46,120+12,890=59,010.

Textbook page 48 · solved item 49

NCERT Class 5 Maths Chapter 4, solved question 49
Question from the current NCERT textbook

Find the sum: 878+8,789.

Show detailed solution
  1. Step 1: Line up the ones, tens, hundreds, and larger places correctly.
  2. Step 2: Place 878 under the last three digits of 8,789 and regroup from ones through hundreds.
  3. Answer: 878+8,789=9,667.

Textbook page 48 · solved item 50

NCERT Class 5 Maths Chapter 4, solved question 50
Question from the current NCERT textbook

Find the sum: 1,749+17,490.

Show detailed solution
  1. Step 1: Line up the ones, tens, hundreds, and larger places correctly.
  2. Step 2: Align the 1,749 with the ones place of 17,490 and add from right to left.
  3. Answer: 1,749+17,490=19,239.

Textbook page 48 · solved item 51

NCERT Class 5 Maths Chapter 4, solved question 51
Question from the current NCERT textbook

Find the total distance of the Delhi-Mumbai-Goa-Hyderabad-Puri road trip shown on the map.

Show detailed solution
  1. Step 1: Read the four marked distances: 1,600 km, 590 km, 670 km, and 1,055 km.
  2. Step 2: Add in friendly groups: 1,600+590=2,190 and 670+1,055=1,725.
  3. Step 3: Add the two subtotals: 2,190+1,725=3,915.
  4. Answer: The total road-trip distance is 3,915 km.

Textbook page 48 · solved item 52

NCERT Class 5 Maths Chapter 4, solved question 52
Question from the current NCERT textbook

Which two listed numbers have a sum closest to 10,000?

Show detailed solution
  1. Step 1: Add likely pairs and compare each sum with the target.
  2. Step 2: Their sum is 10,045, only 45 away from 10,000.
  3. Answer: Choose 5,205 and 4,840.

Textbook page 48 · solved item 53

NCERT Class 5 Maths Chapter 4, solved question 53
Question from the current NCERT textbook

Which two listed numbers have a sum closest to 15,000?

Show detailed solution
  1. Step 1: Add likely pairs and compare each sum with the target.
  2. Step 2: Their sum is 14,675, which is 325 away from 15,000.
  3. Answer: Choose 6,220 and 8,455.

Textbook page 48 · solved item 54

NCERT Class 5 Maths Chapter 4, solved question 54
Question from the current NCERT textbook

Which two listed numbers have a sum closest to 13,000?

Show detailed solution
  1. Step 1: Add likely pairs and compare each sum with the target.
  2. Step 2: Their sum is 13,295, which is 295 away from 13,000 and closer than the other pair sums.
  3. Answer: Choose 8,455 and 4,840.

Textbook page 48 · solved item 55

NCERT Class 5 Maths Chapter 4, solved question 55
Question from the current NCERT textbook

Which two listed numbers have a sum closest to 16,000?

Show detailed solution
  1. Step 1: Add likely pairs and compare each sum with the target.
  2. Step 2: Their sum is 15,550, only 450 away from 16,000.
  3. Answer: Choose 7,095 and 8,455.

Detailed worked answers

Textbook page 49

Textbook page 49 · solved item 56

NCERT Class 5 Maths Chapter 4, solved question 56
Question from the current NCERT textbook

A ship travels 1,083 km from Mumbai to Cochin on a 2,700 km route to Chennai. How much farther must it travel?

Show detailed solution
  1. Step 1: Subtract the completed part from the full route: 2,700-1,083.
  2. Step 2: Regroup across the zeroes. The ones give 7, tens give 1, hundreds give 6, and thousands give 1.
  3. Step 3: Check by addition: 1,083+1,617=2,700.
  4. Answer: The ship must travel 1,617 km more.

Detailed worked answers

Textbook page 50

Textbook page 50 · solved item 57

NCERT Class 5 Maths Chapter 4, solved question 57
Question from the current NCERT textbook

How much longer is the 15,150 km Talon-Sagres route than the 10,228 km Cairo-Cape Town highway?

Show detailed solution
  1. Step 1: Find the difference: 15,150-10,228.
  2. Step 2: Regroup where needed and subtract from ones through ten-thousands.
  3. Step 3: Check by adding the difference back: 10,228+4,922=15,150.
  4. Answer: The Talon-Sagres route is 4,922 km longer.

Textbook page 50 · solved item 58

NCERT Class 5 Maths Chapter 4, solved question 58
Question from the current NCERT textbook

Subtract: 4,578-2,222.

Show detailed solution
  1. Step 1: Line up equal place values before subtracting.
  2. Step 2: Subtract each place directly: 8-2, 7-2, 5-2, and 4-2.
  3. Answer: 4,578-2,222=2,356.

Textbook page 50 · solved item 59

NCERT Class 5 Maths Chapter 4, solved question 59
Question from the current NCERT textbook

Subtract: 15,324-11,780.

Show detailed solution
  1. Step 1: Line up equal place values before subtracting.
  2. Step 2: Regroup in the tens and hundreds places, then continue to the thousands.
  3. Answer: 15,324-11,780=3,544.

Textbook page 50 · solved item 60

NCERT Class 5 Maths Chapter 4, solved question 60
Question from the current NCERT textbook

Subtract: 5,423-423.

Show detailed solution
  1. Step 1: Line up equal place values before subtracting.
  2. Step 2: The last three digits cancel exactly, leaving 5 thousands.
  3. Answer: 5,423-423=5,000.

Textbook page 50 · solved item 61

NCERT Class 5 Maths Chapter 4, solved question 61
Question from the current NCERT textbook

Subtract: 123-12.

Show detailed solution
  1. Step 1: Line up equal place values before subtracting.
  2. Step 2: Align 12 under the tens and ones before subtracting.
  3. Answer: 123-12=111.

Textbook page 50 · solved item 62

NCERT Class 5 Maths Chapter 4, solved question 62
Question from the current NCERT textbook

Subtract: 77,777-777.

Show detailed solution
  1. Step 1: Line up equal place values before subtracting.
  2. Step 2: Align 777 under the final three digits; those three places cancel.
  3. Answer: 77,777-777=77,000.

Textbook page 50 · solved item 63

NCERT Class 5 Maths Chapter 4, solved question 63
Question from the current NCERT textbook

Subtract: 826-752.

Show detailed solution
  1. Step 1: Line up equal place values before subtracting.
  2. Step 2: Regroup 826 as 7 hundreds, 11 tens, and 16 ones before subtracting.
  3. Answer: 826-752=74.

Detailed worked answers

Textbook page 51

Textbook page 51 · solved item 64

NCERT Class 5 Maths Chapter 4, solved question 64
Question from the current NCERT textbook

Mary starts with ₹12,540, spends ₹3,275, receives ₹4,900, then spends ₹2,645 and ₹1,275. How much is left?

Show detailed solution
  1. Step 1: After the first expense, she has 12,540-3,275=9,265.
  2. Step 2: Add the gift: 9,265+4,900=14,165.
  3. Step 3: After the ticket she has 14,165-2,645=11,520, and after souvenirs she has 11,520-1,275=10,245.
  4. Answer: Mary has ₹10,245 left.

Textbook page 51 · solved item 65

NCERT Class 5 Maths Chapter 4, solved question 65
Question from the current NCERT textbook

Estimate whether ₹70,500 is enough for purchases costing ₹39,785, ₹9,545, and ₹19,548.

Show detailed solution
  1. Step 1: Round the costs to easy nearby amounts: about ₹40,000, ₹10,000, and ₹20,000.
  2. Step 2: Their estimated total is about ₹70,000.
  3. Answer: ₹70,500 should be enough, but only by a small amount. We should calculate exactly to check.

Textbook page 51 · solved item 66

NCERT Class 5 Maths Chapter 4, solved question 66
Question from the current NCERT textbook

Check exactly whether the school council's ₹70,500 is enough for all three purchases.

Show detailed solution
  1. Step 1: Add the purchases: 39,785+9,545=49,330.
  2. Step 2: Add sports equipment: 49,330+19,548=68,878.
  3. Step 3: Compare with the amount raised: 70,500-68,878=1,622.
  4. Answer: Yes. The council has ₹1,622 left.

Textbook page 51 · solved item 67

NCERT Class 5 Maths Chapter 4, solved question 67
Question from the current NCERT textbook

What total weight is loaded when a truck carries 3,675 kg of cement and 2,850 kg of steel?

Show detailed solution
  1. Step 1: Add the two loads: 3,675+2,850.
  2. Step 2: Add by place value and regroup to get 6,525.
  3. Answer: The truck is carrying 6,525 kg.

Textbook page 51 · solved item 68

NCERT Class 5 Maths Chapter 4, solved question 68
Question from the current NCERT textbook

How much more can the 8,250 kg truck carry after 6,525 kg has been loaded?

Show detailed solution
  1. Step 1: Subtract the current load from the capacity: 8,250-6,525.
  2. Step 2: Regroup where needed and subtract to get 1,725.
  3. Answer: The truck can carry 1,725 kg more.

Textbook page 51 · solved item 69

NCERT Class 5 Maths Chapter 4, solved question 69
Question from the current NCERT textbook

Fill the blank: 32 + ___ = 100.

Show detailed solution
  1. Step 1: Count from 32 to 100 or subtract 100-32.
  2. Step 2: From 32 to 40 is 8, and from 40 to 100 is 60; 8+60=68.
  3. Answer: 32+68=100, so the missing number is 68.

Detailed worked answers

Textbook page 52

Textbook page 52 · solved item 70

NCERT Class 5 Maths Chapter 4, solved question 70
Question from the current NCERT textbook

Use Piku's method to fill the blank: 59 + ___ = 100.

Show detailed solution
  1. Step 1: First reach 99. The number needed is 40 because 59+40=99.
  2. Step 2: Add 1 more to reach 100, so the full missing number is 40+1=41.
  3. Answer: 59+41=100.

Textbook page 52 · solved item 71

NCERT Class 5 Maths Chapter 4, solved question 71
Question from the current NCERT textbook

Fill the blank: 877 + ___ = 1,000.

Show detailed solution
  1. Step 1: Use Piku's idea: first find the amount needed to reach the number made entirely of 9s just before the target.
  2. Step 2: 877+122=999, then one more makes 1,000.
  3. Answer: The missing number is 123.

Textbook page 52 · solved item 72

NCERT Class 5 Maths Chapter 4, solved question 72
Question from the current NCERT textbook

Fill the blank: 666 + ___ = 1,000.

Show detailed solution
  1. Step 1: Use Piku's idea: first find the amount needed to reach the number made entirely of 9s just before the target.
  2. Step 2: 666+333=999, then one more makes 1,000.
  3. Answer: The missing number is 334.

Textbook page 52 · solved item 73

NCERT Class 5 Maths Chapter 4, solved question 73
Question from the current NCERT textbook

Fill the blank: 4,103 + ___ = 10,000.

Show detailed solution
  1. Step 1: Use Piku's idea: first find the amount needed to reach the number made entirely of 9s just before the target.
  2. Step 2: 4,103+5,896=9,999, then one more makes 10,000.
  3. Answer: The missing number is 5,897.

Textbook page 52 · solved item 74

NCERT Class 5 Maths Chapter 4, solved question 74
Question from the current NCERT textbook

Fill the blank: 5,555 + ___ = 10,000.

Show detailed solution
  1. Step 1: Use Piku's idea: first find the amount needed to reach the number made entirely of 9s just before the target.
  2. Step 2: 5,555+4,444=9,999, then one more makes 10,000.
  3. Answer: The missing number is 4,445.

Textbook page 52 · solved item 75

NCERT Class 5 Maths Chapter 4, solved question 75
Question from the current NCERT textbook

Does Piku's missing-addend method work when the units digit is 0? What other method can be used?

Show detailed solution
  1. Step 1: Yes. For example, 60+39=99, and one more gives 60+40=100.
  2. Step 2: Another method is to count up to the next ten and then to the target, or subtract the starting number from the target.
  3. Answer: The method still works for a units digit of 0; counting up and subtraction also work.

Textbook page 52 · solved item 76

NCERT Class 5 Maths Chapter 4, solved question 76
Question from the current NCERT textbook

Fill the blank: 180 + ___ = 1,000.

Show detailed solution
  1. Step 1: Find how far the starting number is from 1,000.
  2. Step 2: Check by addition: 180+820=1,000.
  3. Answer: The missing number is 820.

Textbook page 52 · solved item 77

NCERT Class 5 Maths Chapter 4, solved question 77
Question from the current NCERT textbook

Fill the blank: 760 + ___ = 1,000.

Show detailed solution
  1. Step 1: Find how far the starting number is from 1,000.
  2. Step 2: Check by addition: 760+240=1,000.
  3. Answer: The missing number is 240.

Textbook page 52 · solved item 78

NCERT Class 5 Maths Chapter 4, solved question 78
Question from the current NCERT textbook

Fill the blank: 400 + ___ = 1,000.

Show detailed solution
  1. Step 1: Find how far the starting number is from 1,000.
  2. Step 2: Check by addition: 400+600=1,000.
  3. Answer: The missing number is 600.

Textbook page 52 · solved item 79

NCERT Class 5 Maths Chapter 4, solved question 79
Question from the current NCERT textbook

Subtract: 67-9.

Show detailed solution
  1. Step 1: Line up equal place values before subtracting.
  2. Step 2: Add 1 to 67 to get 68, then subtract 10: 68-10=58.
  3. Answer: 67-9=58.

Textbook page 52 · solved item 80

NCERT Class 5 Maths Chapter 4, solved question 80
Question from the current NCERT textbook

Subtract: 83-9.

Show detailed solution
  1. Step 1: Line up equal place values before subtracting.
  2. Step 2: Add 1 to 83 to get 84, then subtract 10: 84-10=74.
  3. Answer: 83-9=74.

Textbook page 52 · solved item 81

NCERT Class 5 Maths Chapter 4, solved question 81
Question from the current NCERT textbook

Subtract: 144-9.

Show detailed solution
  1. Step 1: Line up equal place values before subtracting.
  2. Step 2: Add 1 to 144 to get 145, then subtract 10: 145-10=135.
  3. Answer: 144-9=135.

Textbook page 52 · solved item 82

NCERT Class 5 Maths Chapter 4, solved question 82
Question from the current NCERT textbook

Subtract: 187-99.

Show detailed solution
  1. Step 1: Line up equal place values before subtracting.
  2. Step 2: Add 1 to 187 to get 188, then subtract 100: 188-100=88.
  3. Answer: 187-99=88.

Textbook page 52 · solved item 83

NCERT Class 5 Maths Chapter 4, solved question 83
Question from the current NCERT textbook

Subtract: 247-99.

Show detailed solution
  1. Step 1: Line up equal place values before subtracting.
  2. Step 2: Add 1 to 247 to get 248, then subtract 100: 248-100=148.
  3. Answer: 247-99=148.

Textbook page 52 · solved item 84

NCERT Class 5 Maths Chapter 4, solved question 84
Question from the current NCERT textbook

Subtract: 763-99.

Show detailed solution
  1. Step 1: Line up equal place values before subtracting.
  2. Step 2: Add 1 to 763 to get 764, then subtract 100: 764-100=664.
  3. Answer: 763-99=664.

Textbook page 52 · solved item 85

NCERT Class 5 Maths Chapter 4, solved question 85
Question from the current NCERT textbook

Fill the blank: 32 - ___ = 9.

Show detailed solution
  1. Step 1: The missing number is the part removed from the starting number.
  2. Step 2: Subtract the desired answer from the starting number: 32-9=23.
  3. Answer: The missing number is 23.

Textbook page 52 · solved item 86

NCERT Class 5 Maths Chapter 4, solved question 86
Question from the current NCERT textbook

Fill the blank: 56 - ___ = 9.

Show detailed solution
  1. Step 1: The missing number is the part removed from the starting number.
  2. Step 2: Subtract the desired answer from the starting number: 56-9=47.
  3. Answer: The missing number is 47.

Textbook page 52 · solved item 87

NCERT Class 5 Maths Chapter 4, solved question 87
Question from the current NCERT textbook

Fill the blank: 877 - ___ = 99.

Show detailed solution
  1. Step 1: The missing number is the part removed from the starting number.
  2. Step 2: Subtract the desired answer from the starting number: 877-99=778.
  3. Answer: The missing number is 778.

Textbook page 52 · solved item 88

NCERT Class 5 Maths Chapter 4, solved question 88
Question from the current NCERT textbook

Fill the blank: 666 - ___ = 99.

Show detailed solution
  1. Step 1: The missing number is the part removed from the starting number.
  2. Step 2: Subtract the desired answer from the starting number: 666-99=567.
  3. Answer: The missing number is 567.

Detailed worked answers

Textbook page 53

Textbook page 53 · solved item 89

NCERT Class 5 Maths Chapter 4, solved question 89
Question from the current NCERT textbook

List all palindrome numbers between 100 and 200.

Show detailed solution
  1. Step 1: A palindrome must read exactly the same from both ends.
  2. Step 2: For a three-digit palindrome beginning with 1, the last digit must also be 1. Let the middle digit run from 0 to 9.
  3. Answer: 101, 111, 121, 131, 141, 151, 161, 171, 181, 191.

Textbook page 53 · solved item 90

NCERT Class 5 Maths Chapter 4, solved question 90
Question from the current NCERT textbook

List all palindrome numbers between 900 and 1,200.

Show detailed solution
  1. Step 1: A palindrome must read exactly the same from both ends.
  2. Step 2: List the three-digit palindromes beginning and ending in 9, then check four-digit numbers up to 1,200.
  3. Answer: 909, 919, 929, 939, 949, 959, 969, 979, 989, 999, 1,001, 1,111.

Textbook page 53 · solved item 91

NCERT Class 5 Maths Chapter 4, solved question 91
Question from the current NCERT textbook

List all palindrome numbers between 25,000 and 27,000.

Show detailed solution
  1. Step 1: A palindrome must read exactly the same from both ends.
  2. Step 2: A five-digit palindrome reads 2, then 5 or 6, a middle digit, and then those first two digits in reverse.
  3. Answer: 25,052, 25,152, 25,252, 25,352, 25,452, 25,552, 25,652, 25,752, 25,852, 25,952, 26,062, 26,162, 26,262, 26,362, 26,462, 26,562, 26,662, 26,762, 26,862, 26,962.

Textbook page 53 · solved item 92

NCERT Class 5 Maths Chapter 4, solved question 92
Question from the current NCERT textbook

Fill the first 3 by 3 grid so every row and column increases.

Show detailed solution
  1. Step 1: Put the smallest numbers at the top-left and move to larger numbers across each row.
  2. Step 2: Use the rows 1, 2, 3; then 4, 5, 6; then 7, 8, 9. Every column also increases from top to bottom.
  3. Answer: One valid grid is \begin{matrix}1&2&3\\4&5&6\\7&8&9\end{matrix}.

Textbook page 53 · solved item 93

NCERT Class 5 Maths Chapter 4, solved question 93
Question from the current NCERT textbook

Fill the second 3 by 3 grid so every row and column decreases.

Show detailed solution
  1. Step 1: Put the largest numbers at the top-left and move to smaller numbers across each row.
  2. Step 2: Use the rows 9, 8, 7; then 6, 5, 4; then 3, 2, 1. Every column also decreases.
  3. Answer: One valid grid is \begin{matrix}9&8&7\\6&5&4\\3&2&1\end{matrix}.

Textbook page 53 · solved item 94

NCERT Class 5 Maths Chapter 4, solved question 94
Question from the current NCERT textbook

Fill the left mixed inc/dec grid using 1 to 9 once each.

Show detailed solution
  1. Step 1: Read the direction labels: Rows decrease and columns increase.
  2. Step 2: Place the numbers, then check every row and column. Each row moves down in value from left to right, while each column grows from top to bottom.
  3. Answer: One valid grid is \begin{matrix}3&2&1\\6&5&4\\9&8&7\end{matrix}.

Textbook page 53 · solved item 95

NCERT Class 5 Maths Chapter 4, solved question 95
Question from the current NCERT textbook

Fill the middle mixed inc/dec grid using 1 to 9 once each.

Show detailed solution
  1. Step 1: Read the direction labels: The first two rows and columns decrease; the last row and column increase.
  2. Step 2: Place the numbers, then check every row and column. Check each outside inc or dec label: 9, 7, 3 and 8, 6, 4 decrease, while 1, 2, 5 increases.
  3. Answer: One valid grid is \begin{matrix}9&8&1\\7&6&2\\3&4&5\end{matrix}.

Textbook page 53 · solved item 96

NCERT Class 5 Maths Chapter 4, solved question 96
Question from the current NCERT textbook

Fill the right mixed inc/dec grid using 1 to 9 once each.

Show detailed solution
  1. Step 1: Read the direction labels: The first two rows and first column increase; the last row and last two columns decrease.
  2. Step 2: Place the numbers, then check every row and column. The rows 1,8,9 and 2,6,7 increase; 5,4,3 decreases. The columns match their labels too.
  3. Answer: One valid grid is \begin{matrix}1&8&9\\2&6&7\\5&4&3\end{matrix}.

Detailed worked answers

Textbook page 54

Textbook page 54 · solved item 97

NCERT Class 5 Maths Chapter 4, solved question 97
Question from the current NCERT textbook

Should (a) 297 be circled as an even number?

Show detailed solution
  1. Step 1: Look only at the ones digit.
  2. Step 2: Its ones digit is 7, so it cannot be split into pairs with none left over.
  3. Answer: It is odd, so do not circle it.

Textbook page 54 · solved item 98

NCERT Class 5 Maths Chapter 4, solved question 98
Question from the current NCERT textbook

Should (b) 498 be circled as an even number?

Show detailed solution
  1. Step 1: Look only at the ones digit.
  2. Step 2: Its ones digit is 8, an even digit.
  3. Answer: It is even, so circle it.

Textbook page 54 · solved item 99

NCERT Class 5 Maths Chapter 4, solved question 99
Question from the current NCERT textbook

Should (c) 724 be circled as an even number?

Show detailed solution
  1. Step 1: Look only at the ones digit.
  2. Step 2: Its ones digit is 4, an even digit.
  3. Answer: It is even, so circle it.

Textbook page 54 · solved item 100

NCERT Class 5 Maths Chapter 4, solved question 100
Question from the current NCERT textbook

Should (d) 100 be circled as an even number?

Show detailed solution
  1. Step 1: Look only at the ones digit.
  2. Step 2: Its ones digit is 0, an even digit.
  3. Answer: It is even, so circle it.

Textbook page 54 · solved item 101

NCERT Class 5 Maths Chapter 4, solved question 101
Question from the current NCERT textbook

Should (e) 199 be circled as an even number?

Show detailed solution
  1. Step 1: Look only at the ones digit.
  2. Step 2: Its ones digit is 9, so one is left unpaired.
  3. Answer: It is odd, so do not circle it.

Textbook page 54 · solved item 102

NCERT Class 5 Maths Chapter 4, solved question 102
Question from the current NCERT textbook

Should (f) 789 be circled as an even number?

Show detailed solution
  1. Step 1: Look only at the ones digit.
  2. Step 2: Its ones digit is 9, an odd digit.
  3. Answer: It is odd, so do not circle it.

Textbook page 54 · solved item 103

NCERT Class 5 Maths Chapter 4, solved question 103
Question from the current NCERT textbook

Should (g) 49 be circled as an even number?

Show detailed solution
  1. Step 1: Look only at the ones digit.
  2. Step 2: Its ones digit is 9, an odd digit.
  3. Answer: It is odd, so do not circle it.

Textbook page 54 · solved item 104

NCERT Class 5 Maths Chapter 4, solved question 104
Question from the current NCERT textbook

Should (h) 6,893 be circled as an even number?

Show detailed solution
  1. Step 1: Look only at the ones digit.
  2. Step 2: Its ones digit is 3, an odd digit.
  3. Answer: It is odd, so do not circle it.

Textbook page 54 · solved item 105

NCERT Class 5 Maths Chapter 4, solved question 105
Question from the current NCERT textbook

Should (i) 846 be circled as an even number?

Show detailed solution
  1. Step 1: Look only at the ones digit.
  2. Step 2: Its ones digit is 6, an even digit.
  3. Answer: It is even, so circle it.

Textbook page 54 · solved item 106

NCERT Class 5 Maths Chapter 4, solved question 106
Question from the current NCERT textbook

Should (j) 111 be circled as an even number?

Show detailed solution
  1. Step 1: Look only at the ones digit.
  2. Step 2: Its ones digit is 1, an odd digit.
  3. Answer: It is odd, so do not circle it.

Textbook page 54 · solved item 107

NCERT Class 5 Maths Chapter 4, solved question 107
Question from the current NCERT textbook

Should (k) 222 be circled as an even number?

Show detailed solution
  1. Step 1: Look only at the ones digit.
  2. Step 2: Its ones digit is 2, an even digit.
  3. Answer: It is even, so circle it.

Textbook page 54 · solved item 108

NCERT Class 5 Maths Chapter 4, solved question 108
Question from the current NCERT textbook

Should (l) 1,023 be circled as an even number?

Show detailed solution
  1. Step 1: Look only at the ones digit.
  2. Step 2: Its ones digit is 3, an odd digit.
  3. Answer: It is odd, so do not circle it.

Textbook page 54 · solved item 109

NCERT Class 5 Maths Chapter 4, solved question 109
Question from the current NCERT textbook

Add 2 to the paired arrangement for 18. What changes and what stays the same?

Show detailed solution
  1. Step 1: 18 has 9 complete pairs and no unpaired dot.
  2. Step 2: Adding 2 makes one new pair, giving 20 with 10 complete pairs.
  3. Answer: The number of pairs increases by 1, and the arrangement remains even with no unpaired dot.

Textbook page 54 · solved item 110

NCERT Class 5 Maths Chapter 4, solved question 110
Question from the current NCERT textbook

Add 2 to the paired arrangement for 23. What changes and what stays the same?

Show detailed solution
  1. Step 1: 23 has 11 complete pairs and 1 unpaired dot.
  2. Step 2: Adding 2 makes one new pair, giving 25 with 12 pairs and still 1 unpaired dot.
  3. Answer: The number of pairs increases by 1, and the number remains odd.

Textbook page 54 · solved item 111

NCERT Class 5 Maths Chapter 4, solved question 111
Question from the current NCERT textbook

Choose five pairs of even numbers, add each pair, and describe the result.

Show detailed solution
  1. Step 1: Examples are 2+4=6, 6+8=14, 10+12=22, 14+16=30, and 18+20=38.
  2. Step 2: Every answer is even because each starting number is made of complete pairs, and joining them leaves complete pairs.
  3. Answer: The sum of two even numbers is always even.

Textbook page 54 · solved item 112

NCERT Class 5 Maths Chapter 4, solved question 112
Question from the current NCERT textbook

Choose five pairs of odd numbers, add each pair, and describe the result.

Show detailed solution
  1. Step 1: Examples are 1+3=4, 5+7=12, 9+11=20, 13+15=28, and 17+19=36.
  2. Step 2: The single unpaired dot from each odd number joins to make one more pair.
  3. Answer: The sum of two odd numbers is always even.

Textbook page 54 · solved item 113

NCERT Class 5 Maths Chapter 4, solved question 113
Question from the current NCERT textbook

Choose five odd-even pairs, add each pair, and describe the result.

Show detailed solution
  1. Step 1: Examples are 1+2=3, 3+4=7, 5+6=11, 7+8=15, and 9+10=19.
  2. Step 2: The even number has no unpaired dot, while the odd number has one, so one dot stays unpaired.
  3. Answer: The sum of an odd number and an even number is always odd.

Textbook page 54 · solved item 114

NCERT Class 5 Maths Chapter 4, solved question 114
Question from the current NCERT textbook

Jincy has eight ₹1 coins, nine ₹2 coins, and five ₹5 coins. Give one way to pay exactly ₹38.

Show detailed solution
  1. Step 1: Use five ₹5 coins: 5\times₹5=₹25.
  2. Step 2: Use six ₹2 coins: 6\times₹2=₹12, and one ₹1 coin. These are all within the available counts.
  3. Step 3: Check: ₹25+₹12+₹1=₹38.
  4. Answer: One possible combination is five ₹5 coins, six ₹2 coins, and one ₹1 coin.

Textbook page 54 · solved item 115

NCERT Class 5 Maths Chapter 4, solved question 115
Question from the current NCERT textbook

Will Raghu's torch be ON or OFF after the 23rd press?

Show detailed solution
  1. Step 1: The torch is ON after press 1, OFF after press 2, and this two-step pattern repeats.
  2. Step 2: Odd-numbered presses turn it ON; even-numbered presses turn it OFF.
  3. Step 3: 23 is odd.
  4. Answer: The torch will be ON after the 23rd press.

Detailed worked answers

Textbook page 55

Textbook page 55 · solved item 116

NCERT Class 5 Maths Chapter 4, solved question 116
Question from the current NCERT textbook

For which press numbers is the torch ON, and for which is it OFF?

Show detailed solution
  1. Step 1: Starting from OFF, each press changes the state.
  2. Step 2: Presses 1, 3, 5, and all other odd numbers leave it ON; presses 2, 4, 6, and all other even numbers leave it OFF.
  3. Answer: The torch is ON after odd-numbered presses and OFF after even-numbered presses.

Textbook page 55 · solved item 117

NCERT Class 5 Maths Chapter 4, solved question 117
Question from the current NCERT textbook

Which is the highest peak Priyanka climbed?

Show detailed solution
  1. Step 1: Read the needed height or year from the table.
  2. Step 2: Compare all heights in the table. The greatest height is 8,848 metres.
  3. Answer: Mount Everest is the highest peak, at 8,848 metres.

Textbook page 55 · solved item 118

NCERT Class 5 Maths Chapter 4, solved question 118
Question from the current NCERT textbook

What is the difference between the highest and lowest peaks in the table?

Show detailed solution
  1. Step 1: Read the needed height or year from the table.
  2. Step 2: The highest is 8,848 m and the lowest is 5,642 m. Subtract: 8,848-5,642=3,206.
  3. Answer: The difference is 3,206 metres.

Textbook page 55 · solved item 119

NCERT Class 5 Maths Chapter 4, solved question 119
Question from the current NCERT textbook

What is the difference between the heights of Mount Elbrus and Mount Kanchenjunga?

Show detailed solution
  1. Step 1: Read the needed height or year from the table.
  2. Step 2: Kanchenjunga is 8,586 m and Elbrus is 5,642 m. Subtract: 8,586-5,642=2,944.
  3. Answer: The difference is 2,944 metres.

Textbook page 55 · solved item 120

NCERT Class 5 Maths Chapter 4, solved question 120
Question from the current NCERT textbook

If Priyanka was 20 years old when she climbed Mount Everest in 2013, in which year was she born?

Show detailed solution
  1. Step 1: Read the needed height or year from the table.
  2. Step 2: Count back 20 years from 2013: 2013-20=1993.
  3. Answer: She was born in 1993, assuming her birthday had already occurred by the summit date.

Detailed worked answers

Textbook page 56

Textbook page 56 · solved item 121

NCERT Class 5 Maths Chapter 4, solved question 121
Question from the current NCERT textbook

Were the certificates sufficient for Chittoor, A.P., and by how many?

Show detailed solution
  1. Step 1: Compare the certificates printed with the students who attended.
  2. Step 2: More certificates were printed than needed. Subtract 18,225-18,104=121.
  3. Answer: The certificates were sufficient, with 121 extra.

Textbook page 56 · solved item 122

NCERT Class 5 Maths Chapter 4, solved question 122
Question from the current NCERT textbook

Were the certificates sufficient for Jaunpur, U.P., and by how many?

Show detailed solution
  1. Step 1: Compare the certificates printed with the students who attended.
  2. Step 2: More students attended than there were certificates. Subtract 19,265-19,043=222.
  3. Answer: The certificates were insufficient; 222 more were needed.

Textbook page 56 · solved item 123

NCERT Class 5 Maths Chapter 4, solved question 123
Question from the current NCERT textbook

Were the certificates sufficient for Raigad, Maharashtra, and by how many?

Show detailed solution
  1. Step 1: Compare the certificates printed with the students who attended.
  2. Step 2: More certificates were printed than needed. Subtract 20,863-19,974=889.
  3. Answer: The certificates were sufficient, with 889 extra.

Textbook page 56 · solved item 124

NCERT Class 5 Maths Chapter 4, solved question 124
Question from the current NCERT textbook

Find the sum: 2,009+7,388.

Show detailed solution
  1. Step 1: Line up the ones, tens, hundreds, and larger places correctly.
  2. Step 2: Add by place value, regrouping 17 hundreds as 1 thousand and 7 hundreds.
  3. Answer: 2,009+7,388=9,397.

Textbook page 56 · solved item 125

NCERT Class 5 Maths Chapter 4, solved question 125
Question from the current NCERT textbook

Find the sum: 26,444+71,111.

Show detailed solution
  1. Step 1: Line up the ones, tens, hundreds, and larger places correctly.
  2. Step 2: Each place adds without regrouping: ones 5, tens 5, hundreds 5, thousands 7, ten-thousands 9.
  3. Answer: 26,444+71,111=97,555.

Textbook page 56 · solved item 126

NCERT Class 5 Maths Chapter 4, solved question 126
Question from the current NCERT textbook

Find the sum: 777+888.

Show detailed solution
  1. Step 1: Line up the ones, tens, hundreds, and larger places correctly.
  2. Step 2: Regroup in the ones, tens, and hundreds places.
  3. Answer: 777+888=1,665.

Textbook page 56 · solved item 127

NCERT Class 5 Maths Chapter 4, solved question 127
Question from the current NCERT textbook

Find the sum: 1,234+1,234.

Show detailed solution
  1. Step 1: Line up the ones, tens, hundreds, and larger places correctly.
  2. Step 2: Double each place from right to left.
  3. Answer: 1,234+1,234=2,468.

Textbook page 56 · solved item 128

NCERT Class 5 Maths Chapter 4, solved question 128
Question from the current NCERT textbook

Find the sum: 56+56,789.

Show detailed solution
  1. Step 1: Line up the ones, tens, hundreds, and larger places correctly.
  2. Step 2: Write 56 under the tens and ones of 56,789 before adding.
  3. Answer: 56+56,789=56,845.

Textbook page 56 · solved item 129

NCERT Class 5 Maths Chapter 4, solved question 129
Question from the current NCERT textbook

Find the sum: 777+77,777.

Show detailed solution
  1. Step 1: Line up the ones, tens, hundreds, and larger places correctly.
  2. Step 2: Align the three-digit number at the right and regroup through the thousands.
  3. Answer: 777+77,777=78,554.

Textbook page 56 · solved item 130

NCERT Class 5 Maths Chapter 4, solved question 130
Question from the current NCERT textbook

Add the next printed (f): 5,922+9,221.

Show detailed solution
  1. Step 1: Line up the ones, tens, hundreds, and larger places correctly.
  2. Step 2: Add each place and regroup 11 thousands as 1 ten-thousand and 1 thousand.
  3. Answer: 5,922+9,221=15,143.

Textbook page 56 · solved item 131

NCERT Class 5 Maths Chapter 4, solved question 131
Question from the current NCERT textbook

Find the sum: 4,321+8,765.

Show detailed solution
  1. Step 1: Line up the ones, tens, hundreds, and larger places correctly.
  2. Step 2: Regroup from ones through thousands while keeping every place aligned.
  3. Answer: 4,321+8,765=13,086.

Textbook page 56 · solved item 132

NCERT Class 5 Maths Chapter 4, solved question 132
Question from the current NCERT textbook

Find the sum: 50,050+55,000.

Show detailed solution
  1. Step 1: Line up the ones, tens, hundreds, and larger places correctly.
  2. Step 2: Add the thousands and ten-thousands; the 50 in the final two places stays unchanged.
  3. Answer: 50,050+55,000=105,050.

Textbook page 56 · solved item 133

NCERT Class 5 Maths Chapter 4, solved question 133
Question from the current NCERT textbook

Subtract: 458-226.

Show detailed solution
  1. Step 1: Line up equal place values before subtracting.
  2. Step 2: Subtract each place directly.
  3. Answer: 458-226=232.

Textbook page 56 · solved item 134

NCERT Class 5 Maths Chapter 4, solved question 134
Question from the current NCERT textbook

Subtract: 7,777-4,449.

Show detailed solution
  1. Step 1: Line up equal place values before subtracting.
  2. Step 2: Regroup in the tens and hundreds places, then subtract.
  3. Answer: 7,777-4,449=3,328.

Textbook page 56 · solved item 135

NCERT Class 5 Maths Chapter 4, solved question 135
Question from the current NCERT textbook

Subtract: 65,447-47,299.

Show detailed solution
  1. Step 1: Line up equal place values before subtracting.
  2. Step 2: Regroup from the tens through the ten-thousands places.
  3. Answer: 65,447-47,299=18,148.

Textbook page 56 · solved item 136

NCERT Class 5 Maths Chapter 4, solved question 136
Question from the current NCERT textbook

Subtract: 1,234-123.

Show detailed solution
  1. Step 1: Line up equal place values before subtracting.
  2. Step 2: Align 123 under the last three digits; each of those places becomes 1.
  3. Answer: 1,234-123=1,111.

Textbook page 56 · solved item 137

NCERT Class 5 Maths Chapter 4, solved question 137
Question from the current NCERT textbook

Subtract: 12,345-1,234.

Show detailed solution
  1. Step 1: Line up equal place values before subtracting.
  2. Step 2: Align the numbers and subtract each place directly.
  3. Answer: 12,345-1,234=11,111.

Textbook page 56 · solved item 138

NCERT Class 5 Maths Chapter 4, solved question 138
Question from the current NCERT textbook

Subtract: 56,789-56.

Show detailed solution
  1. Step 1: Line up equal place values before subtracting.
  2. Step 2: Align 56 under the tens and ones before subtracting.
  3. Answer: 56,789-56=56,733.

Textbook page 56 · solved item 139

NCERT Class 5 Maths Chapter 4, solved question 139
Question from the current NCERT textbook

Subtract the next printed (f): 87,326-11,111.

Show detailed solution
  1. Step 1: Line up equal place values before subtracting.
  2. Step 2: Subtract 1 from each aligned place.
  3. Answer: 87,326-11,111=76,215.

Textbook page 56 · solved item 140

NCERT Class 5 Maths Chapter 4, solved question 140
Question from the current NCERT textbook

Subtract: 878-52.

Show detailed solution
  1. Step 1: Line up equal place values before subtracting.
  2. Step 2: Align 52 under the tens and ones, then subtract.
  3. Answer: 878-52=826.

Textbook page 56 · solved item 141

NCERT Class 5 Maths Chapter 4, solved question 141
Question from the current NCERT textbook

Subtract: 749-222.

Show detailed solution
  1. Step 1: Line up equal place values before subtracting.
  2. Step 2: Subtract each place directly.
  3. Answer: 749-222=527.

Textbook page 56 · solved item 142

NCERT Class 5 Maths Chapter 4, solved question 142
Question from the current NCERT textbook

Ambrish has ₹92,375. He buys a cow for ₹26,000, a goat for ₹17,000, and a milking machine for ₹19,873. Does he have enough, and how much remains?

Show detailed solution
  1. Step 1: Add the costs: 26,000+17,000=43,000, then 43,000+19,873=62,873.
  2. Step 2: Compare this with ₹92,375. The savings are greater, so he has enough.
  3. Step 3: Find what remains: 92,375-62,873=29,502.
  4. Answer: Yes. Ambrish has ₹29,502 left.

Textbook page 56 · solved item 143

NCERT Class 5 Maths Chapter 4, solved question 143
Question from the current NCERT textbook

A factory makes 54,000 nuts and bolts, but the order is for 85,300. How many more must it make?

Show detailed solution
  1. Step 1: Subtract the amount already made from the order: 85,300-54,000.
  2. Step 2: The difference is 31,300.
  3. Step 3: Check: 54,000+31,300=85,300.
  4. Answer: The factory must produce 31,300 more nuts and bolts.

Textbook page 56 · solved item 144

NCERT Class 5 Maths Chapter 4, solved question 144
Question from the current NCERT textbook

Virat Kohli has 27,599 runs, which is 6,758 fewer than Sachin Tendulkar. How many runs does Sachin have?

Show detailed solution
  1. Step 1: Sachin's score is greater, so add the difference to Virat's score.
  2. Step 2: 27,599+6,758=34,357.
  3. Step 3: Check: 34,357-6,758=27,599.
  4. Answer: Sachin Tendulkar has 34,357 runs.
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