NCERT Solutions for Class 4th Maths Chapter 7 Kalakshitij, column sums and Preeti’s school — Let Us Do

Book page 105 Updated on2026-09-19

Q1.
1. In Kalakshitij, a school of performing arts, the following number of students are learning to sing and play the tabla. Estimate and then find the total number of students.
Answer
Tabla playersSingersTotal
Boys78532_______ boys
Girls95346_______ girls
Total_______ tabla players_______ singers
The Kalakshitij table as it is printed on page 105.

Estimate first: about 80 + 530 = 610 boys, about 100 + 350 = 450 girls, so about 1050 students in all.

Now the exact numbers.

Boys = 78 + 532 = 610
Girls = 95 + 346 = 441
Tabla players = 78 + 95 = 173
Singers = 532 + 346 = 878
Total = 610 + 441 = 1051
HTO1178532+610
Boys: 78 + 532.
HTO1195346+441
Girls: 95 + 346.
HTO117895+173
Tabla players: 78 + 95.
HTO532346+878
Singers: 532 + 346.
Tabla playersSingersTotal
Boys78532610 boys
Girls95346441 girls
Total173 tabla players878 singers1051
The same table with every box filled in.
Why it happens: The last box can be found two ways — 610 + 441 and 173 + 878 — and both give 1051, because both count the same children.
Check it yourself: 173 + 878 = 1051. The row totals and the column totals must agree.
Q2.
15 more girls join the music school and they want to learn to play the tabla. How many girls play the tabla now?
Answer
Tabla playersSingersTotal
Boys78532_______ boys
Girls95346_______ girls
Total_______ tabla players_______ singers
The Kalakshitij table as it is printed on page 105.

110 girls play the tabla now.

Girls playing the tabla = 95
New girls = 15
95 + 15 = 110
HTO119515+110
The working, written in columns.
Why it happens: 5 ones and 5 ones make 10 ones. Those ten ones become 1 ten, so the ones place gets a 0.
Q3.
2. Add by aligning the numbers in columns in your notebook. a) 32 + 47
Answer

32 + 47 = 79

TO3247+79
The working, written in columns.
Why it happens: No column reaches ten, so nothing has to be regrouped here.
Q4.
(b) 654 + 95
Answer

654 + 95 = 749

HTO165495+749
The working, written in columns.
Tip: 95 has no hundreds. Write it under 654 so that 5 sits below 4 and 9 sits below 5.
Q5.
(c) 286 + 123
Answer

286 + 123 = 409

HTO1286123+409
The working, written in columns.
Why it happens: 6 ones and 3 ones make 9 ones, but 8 tens and 2 tens make 10 tens, which is 1 hundred.
Tip: The Hindi edition prints this sum as 86 + 123, and 86 + 123 = 209. Use the numbers printed in your own book.
Q6.
b) 476 + 324
Answer

476 + 324 = 800

HTO11476324+800
The working, written in columns.
Why it happens: Both the ones and the tens fill up to ten, so we regroup twice and the answer ends in 00.
Tip: The English book prints this item as b) by mistake. It should be d).
Q7.
(e) 700 + 289
Answer

700 + 289 = 989

HTO700289+989
The working, written in columns.
Why it happens: 700 has 0 tens and 0 ones, so the tens and ones of the answer are simply those of 289.
Q8.
(f) 534 + 483
Answer

534 + 483 = 1017

ThHTO11534483+1017
The working, written in columns.
Why it happens: 5 hundreds and 4 hundreds and the carried hundred make 10 hundreds, and 10 hundreds are 1 thousand.
Tip: The Hindi edition prints this sum as 34 + 483, and 34 + 483 = 517. Use the numbers printed in your own book.
Q9.
3. Preeti’s school has 423 children. Her school has 178 children less than her cousin’s school. How many children study in Preeti’s cousin’s school?
Answer

601 children study in her cousin’s school.

Preeti’s school = 423
It has 178 less than the cousin’s school.
So the cousin’s school = 423 + 178 = 601
HTO11423178+601
The working, written in columns.
Why it happens: Preeti’s school is the smaller one. To go back to the bigger school we must put the 178 children back, so we add.
Check it yourself: 601 − 178 = 423, which is Preeti’s school again.
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