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NCERT Solutions for Class 4th Maths Chapter 7 Fill the missing digits — The Missing Digits

Book page 113 Updated on2026-09-19

Q1.
Fill the missing digits below to make each of the following sums correct. Puzzle 1: __ 6 + 1 __ = 5 0
Answer
6150+
The puzzle as it is printed on page 113.

The sum is 36 + 14 = 50.

Ones: 6 + ? must end in 0 → 6 + 4 = 10
Write 0 and carry 1 ten.
Tens: ? + 1 + 1 = 5 → ? = 3
361450+
The same puzzle with the missing digits filled in.
TO13614+50
The working, written in columns.
Why it happens: We always start at the ones, because the carry from the ones decides the tens.
Q2.
Puzzle 2: 1 __ + 2 __ = 3 8
Answer
1238+
The puzzle as it is printed on page 113.

The two ones digits must add up to 8. One correct answer is 15 + 23 = 38.

Tens: 1 + 2 = 3, and the answer has 3 tens,
so nothing is carried from the ones.
Ones: ? + ? = 8
152338+
The same puzzle with the missing digits filled in.
TO1523+38
The working, written in columns.
Other correct answers
10 + 28 = 38
12 + 26 = 38
17 + 21 = 38
Why it happens: The tens already make 3 on their own, so the ones must not reach ten.
Q3.
Puzzle 3: 3 __ 2 + __ 8 8 = 8 9 0
Answer
3288890+
The puzzle as it is printed on page 113.

The sum is 302 + 588 = 890.

Ones: 2 + 8 = 10 → write 0, carry 1 ten
Tens: ? + 8 + 1 = 9 → ? = 0, nothing is carried
Hundreds: 3 + ? = 8 → ? = 5
302588890+
The same puzzle with the missing digits filled in.
HTO1302588+890
The working, written in columns.
Why it happens: Once we know that no ten is carried out of the tens column, the hundreds are easy: 3 and 5 make 8.
Q4.
Puzzle 4: 7 __ − 4 __ = 2 7
Answer
7427−
The puzzle as it is printed on page 113.

One correct answer is 70 − 43 = 27.

Tens: 7 − 4 = 3, but the answer shows only 2 tens.
So one ten went to the ones → regrouping happened.
Ones: 10 + ? − ? = 7, so the lower digit is 3 more than the upper one.
704327−
The same puzzle with the missing digits filled in.
TO6107043−27
The working, written in columns.
Other correct answers
71 − 44 = 27
72 − 45 = 27
76 − 49 = 27
Why it happens: The tens lost one, so the ones digit on top must be smaller than the one below it.
Q5.
Puzzle 5: 6 5 − __ __ = 2 5
Answer
6525−
The puzzle as it is printed on page 113.

The number to be taken away is 40. So 65 − 40 = 25.

The number taken away = 65 − 25
= 40
Ones: 5 − 0 = 5
Tens: 6 − 4 = 2
654025−
The same puzzle with the missing digits filled in.
TO6540−25
The working, written in columns.
Why it happens: In a subtraction, the top number minus the answer gives the number that was taken away.
Q6.
Puzzle 6: 4 7 __ − 1 4 __ = __ 2 7
Answer
471427−
The puzzle as it is printed on page 113.

One correct answer is 470 − 143 = 327.

Tens: 7 − 4 = 3, but the answer shows 2 tens,
so one ten was given to the ones.
Ones: 10 + ? − ? = 7 → the lower digit is 3 more than the upper one.
Hundreds: 4 − 1 = 3
470143327−
The same puzzle with the missing digits filled in.
HTO610470143−327
The working, written in columns.
Other correct answers
471 − 144 = 327
472 − 145 = 327
476 − 149 = 327
Why it happens: The hundreds column is untouched by the regrouping, so it simply gives 4 − 1 = 3.
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