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1 
 
CBSE BOARD 
Mathematics Sample Paper 
Class V 
General Instructions 
1. The paper is divided into 5 sections; A, B, C, and D 
2. Section A consists of 10 questions of 1 mark each. 
3. Section B consists of 10 questions of 2 marks each. 
4. Section C consists of 10 questions of 3 marks each. 
5. Section D consists of 8 questions of 5 marks each. 
 
SECTION A 
(1 Mark Questions) 
 
1. The difference between the smallest 6-digit number and the greatest 5- digit number 
is             . 
Ans. The smallest 6-digit number = 100000 
The greatest 5- digit number = 99999 
?Their difference = 100000-99999 = 1 
2. Write the place value of every digit in given decimals 3045. 324. 
Ans.  The digits after decimal are 324, so 
The place of value of 3 = 3/10 
The place value of 2 = 2/100 
The place value of 4= 4/1000 
 
3. If one car has four wheels then 400 cars have how many wheels? 
Ans. One car has 4 wheels 
Then 400 cars have (4×400) wheels= 1600 wheels. 
4. Write the number in words: 
    a) 753453   b) 897421 
Page 2


  
1 
 
CBSE BOARD 
Mathematics Sample Paper 
Class V 
General Instructions 
1. The paper is divided into 5 sections; A, B, C, and D 
2. Section A consists of 10 questions of 1 mark each. 
3. Section B consists of 10 questions of 2 marks each. 
4. Section C consists of 10 questions of 3 marks each. 
5. Section D consists of 8 questions of 5 marks each. 
 
SECTION A 
(1 Mark Questions) 
 
1. The difference between the smallest 6-digit number and the greatest 5- digit number 
is             . 
Ans. The smallest 6-digit number = 100000 
The greatest 5- digit number = 99999 
?Their difference = 100000-99999 = 1 
2. Write the place value of every digit in given decimals 3045. 324. 
Ans.  The digits after decimal are 324, so 
The place of value of 3 = 3/10 
The place value of 2 = 2/100 
The place value of 4= 4/1000 
 
3. If one car has four wheels then 400 cars have how many wheels? 
Ans. One car has 4 wheels 
Then 400 cars have (4×400) wheels= 1600 wheels. 
4. Write the number in words: 
    a) 753453   b) 897421 
  
2 
 
Ans.(a)  
Lakhs Ten 
Thousands 
Thousands Hundred Tens Ones 
7 5 3 4 5 3 
 
Seven lakhs fifty three thousands four hundred and fifty three. 
(b) 
Lakhs Ten 
Thousands 
Thousands Hundred Tens Ones 
8 9 7 4 2 1 
 
Eight lakhs ninety seven thousands four hundred and twenty-one. 
 
5. Multiply 524 by 64. 
Ans. 524×64 = 33536 
 
6. Simplify: ?? 7894523 3532469 2745251  
Ans. 7894523+3532469-2745251 
= 11426992-2745251 
= 8681741 
 
7. Three angles of a quadrilateral are 
0 0 0
150 50 80 ?? , find the fourth angle. 
Ans.  We know, sum of angles in a quadrilateral = 
0
360 
      
0 0 0 0
00
0
150 50 80 ? 360
280 ? 360
? 80
? ? ? ?
? ? ?
??
 
 
 
 
Page 3


  
1 
 
CBSE BOARD 
Mathematics Sample Paper 
Class V 
General Instructions 
1. The paper is divided into 5 sections; A, B, C, and D 
2. Section A consists of 10 questions of 1 mark each. 
3. Section B consists of 10 questions of 2 marks each. 
4. Section C consists of 10 questions of 3 marks each. 
5. Section D consists of 8 questions of 5 marks each. 
 
SECTION A 
(1 Mark Questions) 
 
1. The difference between the smallest 6-digit number and the greatest 5- digit number 
is             . 
Ans. The smallest 6-digit number = 100000 
The greatest 5- digit number = 99999 
?Their difference = 100000-99999 = 1 
2. Write the place value of every digit in given decimals 3045. 324. 
Ans.  The digits after decimal are 324, so 
The place of value of 3 = 3/10 
The place value of 2 = 2/100 
The place value of 4= 4/1000 
 
3. If one car has four wheels then 400 cars have how many wheels? 
Ans. One car has 4 wheels 
Then 400 cars have (4×400) wheels= 1600 wheels. 
4. Write the number in words: 
    a) 753453   b) 897421 
  
2 
 
Ans.(a)  
Lakhs Ten 
Thousands 
Thousands Hundred Tens Ones 
7 5 3 4 5 3 
 
Seven lakhs fifty three thousands four hundred and fifty three. 
(b) 
Lakhs Ten 
Thousands 
Thousands Hundred Tens Ones 
8 9 7 4 2 1 
 
Eight lakhs ninety seven thousands four hundred and twenty-one. 
 
5. Multiply 524 by 64. 
Ans. 524×64 = 33536 
 
6. Simplify: ?? 7894523 3532469 2745251  
Ans. 7894523+3532469-2745251 
= 11426992-2745251 
= 8681741 
 
7. Three angles of a quadrilateral are 
0 0 0
150 50 80 ?? , find the fourth angle. 
Ans.  We know, sum of angles in a quadrilateral = 
0
360 
      
0 0 0 0
00
0
150 50 80 ? 360
280 ? 360
? 80
? ? ? ?
? ? ?
??
 
 
 
 
  
3 
 
8. Solve: 
5
6
8
? 
  Ans. 
           
5
6
8
51
86
5
48
?
??
?
 
9. The product of a fraction and its reciprocal is               . 
Ans. The product of a fraction and its reciprocal is 1. 
 
10. Side of square is 8cm, then area of the square will be                  . 
Ans. Area of square = side ×side 
                                   = 8 × 8 = 64
2
cm 
 
SECTION B 
(2 Marks Questions) 
 
11. A box contains 3472 pencils. How many pencils are there in 324 such    boxes? 
Ans. One box contains 3472 pencils 
So, 324 boxes will have (3472 ×324) pencils = 1124928 pencils 
 
 
 
 
 
 
12. Divide 42500 by 325 and find quotient and reminder. 
Page 4


  
1 
 
CBSE BOARD 
Mathematics Sample Paper 
Class V 
General Instructions 
1. The paper is divided into 5 sections; A, B, C, and D 
2. Section A consists of 10 questions of 1 mark each. 
3. Section B consists of 10 questions of 2 marks each. 
4. Section C consists of 10 questions of 3 marks each. 
5. Section D consists of 8 questions of 5 marks each. 
 
SECTION A 
(1 Mark Questions) 
 
1. The difference between the smallest 6-digit number and the greatest 5- digit number 
is             . 
Ans. The smallest 6-digit number = 100000 
The greatest 5- digit number = 99999 
?Their difference = 100000-99999 = 1 
2. Write the place value of every digit in given decimals 3045. 324. 
Ans.  The digits after decimal are 324, so 
The place of value of 3 = 3/10 
The place value of 2 = 2/100 
The place value of 4= 4/1000 
 
3. If one car has four wheels then 400 cars have how many wheels? 
Ans. One car has 4 wheels 
Then 400 cars have (4×400) wheels= 1600 wheels. 
4. Write the number in words: 
    a) 753453   b) 897421 
  
2 
 
Ans.(a)  
Lakhs Ten 
Thousands 
Thousands Hundred Tens Ones 
7 5 3 4 5 3 
 
Seven lakhs fifty three thousands four hundred and fifty three. 
(b) 
Lakhs Ten 
Thousands 
Thousands Hundred Tens Ones 
8 9 7 4 2 1 
 
Eight lakhs ninety seven thousands four hundred and twenty-one. 
 
5. Multiply 524 by 64. 
Ans. 524×64 = 33536 
 
6. Simplify: ?? 7894523 3532469 2745251  
Ans. 7894523+3532469-2745251 
= 11426992-2745251 
= 8681741 
 
7. Three angles of a quadrilateral are 
0 0 0
150 50 80 ?? , find the fourth angle. 
Ans.  We know, sum of angles in a quadrilateral = 
0
360 
      
0 0 0 0
00
0
150 50 80 ? 360
280 ? 360
? 80
? ? ? ?
? ? ?
??
 
 
 
 
  
3 
 
8. Solve: 
5
6
8
? 
  Ans. 
           
5
6
8
51
86
5
48
?
??
?
 
9. The product of a fraction and its reciprocal is               . 
Ans. The product of a fraction and its reciprocal is 1. 
 
10. Side of square is 8cm, then area of the square will be                  . 
Ans. Area of square = side ×side 
                                   = 8 × 8 = 64
2
cm 
 
SECTION B 
(2 Marks Questions) 
 
11. A box contains 3472 pencils. How many pencils are there in 324 such    boxes? 
Ans. One box contains 3472 pencils 
So, 324 boxes will have (3472 ×324) pencils = 1124928 pencils 
 
 
 
 
 
 
12. Divide 42500 by 325 and find quotient and reminder. 
  
4 
 
Ans. 42500 ÷325  
130
325 42500
325
1000
  975
  250
  
 
 Quotient = 130 and Remainder = 250 
 
13. Write as decimal fraction 4000+200+40+4+3/10+6/100+5/1000. 
 
Ans.  4000+200+40+4+
3
10
+
65
100 1000
? 
= 4244.365 
 
14. The sum of two numbers is 32,455,014. If one number is 10,52,010 , find the other 
number. 
Ans. One number = 10, 52,010 and let the other number be x 
Sum of two numbers= 32,455,014 
10, 52,010   32,455,014
  32,455,014  10, 52,010 
31403004
x
x
x
??
??
?
  
Hence, the other number is 3,14,03,004. 
 
15. If 5 kg of milk has 2.354kg of fat, how much fat is there in 32kg of milk? 
Ans. Fat in 5kg of milk = 2.354kg 
So, Fat in 1kg of milk =  
2.354
5
kg 
Page 5


  
1 
 
CBSE BOARD 
Mathematics Sample Paper 
Class V 
General Instructions 
1. The paper is divided into 5 sections; A, B, C, and D 
2. Section A consists of 10 questions of 1 mark each. 
3. Section B consists of 10 questions of 2 marks each. 
4. Section C consists of 10 questions of 3 marks each. 
5. Section D consists of 8 questions of 5 marks each. 
 
SECTION A 
(1 Mark Questions) 
 
1. The difference between the smallest 6-digit number and the greatest 5- digit number 
is             . 
Ans. The smallest 6-digit number = 100000 
The greatest 5- digit number = 99999 
?Their difference = 100000-99999 = 1 
2. Write the place value of every digit in given decimals 3045. 324. 
Ans.  The digits after decimal are 324, so 
The place of value of 3 = 3/10 
The place value of 2 = 2/100 
The place value of 4= 4/1000 
 
3. If one car has four wheels then 400 cars have how many wheels? 
Ans. One car has 4 wheels 
Then 400 cars have (4×400) wheels= 1600 wheels. 
4. Write the number in words: 
    a) 753453   b) 897421 
  
2 
 
Ans.(a)  
Lakhs Ten 
Thousands 
Thousands Hundred Tens Ones 
7 5 3 4 5 3 
 
Seven lakhs fifty three thousands four hundred and fifty three. 
(b) 
Lakhs Ten 
Thousands 
Thousands Hundred Tens Ones 
8 9 7 4 2 1 
 
Eight lakhs ninety seven thousands four hundred and twenty-one. 
 
5. Multiply 524 by 64. 
Ans. 524×64 = 33536 
 
6. Simplify: ?? 7894523 3532469 2745251  
Ans. 7894523+3532469-2745251 
= 11426992-2745251 
= 8681741 
 
7. Three angles of a quadrilateral are 
0 0 0
150 50 80 ?? , find the fourth angle. 
Ans.  We know, sum of angles in a quadrilateral = 
0
360 
      
0 0 0 0
00
0
150 50 80 ? 360
280 ? 360
? 80
? ? ? ?
? ? ?
??
 
 
 
 
  
3 
 
8. Solve: 
5
6
8
? 
  Ans. 
           
5
6
8
51
86
5
48
?
??
?
 
9. The product of a fraction and its reciprocal is               . 
Ans. The product of a fraction and its reciprocal is 1. 
 
10. Side of square is 8cm, then area of the square will be                  . 
Ans. Area of square = side ×side 
                                   = 8 × 8 = 64
2
cm 
 
SECTION B 
(2 Marks Questions) 
 
11. A box contains 3472 pencils. How many pencils are there in 324 such    boxes? 
Ans. One box contains 3472 pencils 
So, 324 boxes will have (3472 ×324) pencils = 1124928 pencils 
 
 
 
 
 
 
12. Divide 42500 by 325 and find quotient and reminder. 
  
4 
 
Ans. 42500 ÷325  
130
325 42500
325
1000
  975
  250
  
 
 Quotient = 130 and Remainder = 250 
 
13. Write as decimal fraction 4000+200+40+4+3/10+6/100+5/1000. 
 
Ans.  4000+200+40+4+
3
10
+
65
100 1000
? 
= 4244.365 
 
14. The sum of two numbers is 32,455,014. If one number is 10,52,010 , find the other 
number. 
Ans. One number = 10, 52,010 and let the other number be x 
Sum of two numbers= 32,455,014 
10, 52,010   32,455,014
  32,455,014  10, 52,010 
31403004
x
x
x
??
??
?
  
Hence, the other number is 3,14,03,004. 
 
15. If 5 kg of milk has 2.354kg of fat, how much fat is there in 32kg of milk? 
Ans. Fat in 5kg of milk = 2.354kg 
So, Fat in 1kg of milk =  
2.354
5
kg 
  
5 
 
?Fat in 32 kg of milk = 
2.354
32 15.0656
5
kg ?? 
16. Perimeter of a rectangle park is 450m. Its breadth is 120m. Find its length and area. 
Ans. We know that, 
  tan  2
450  2 120
 120 
 120 
  225 120 105
  tan 
  
1   05
0
()
(
0
12
5
0 
 
)
45
2
22
1260
Perimeter of rec gle Length Breadth
length
length
length
Length cm
Area of rec gle
Length Breadth
??
??
??
??
? ? ?
??
??
?
  
 
17. The product of two numbers is 56430 and their L.C.M is 45. Find their H.C.F. 
Ans. Given, L.C.M = 45 
Product of two numbers = 56430 
We know, Product of two numbers = H.C.F × L.C.M 
               ? 56430 = H.C.F × 45 
               ?H.C.F = 
56430
45
 
               ?H.C.F = 1254 
18. A company earned Rs. 1,42,55,675 in 2010. Next year the earnings of the company 
increased by Rs. 3,28,345. How much did the company earn in the year 2011? 
 
Ans. Earning of company in 2010 = Rs. 14255675 
 Earning increased in 2011 by Rs. 328345 
Therefore, Earning of company in 2011 = Rs. (14255675+328345) 
                                                                   = Rs. 1,45,84,020 
 
19. In a triangle ABC the two angles are of 60
0
 and 45
0
, find the third angle. 
 
Ans.  
 
The sum of all the three angles of a triangle is 180
0
. 
 
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FAQs on Mathematics Sample Paper - 1 - Sample Papers for Class 5

1. What are some basic mathematical concepts that are typically taught in Class 5?
Ans. In Class 5, students are usually taught concepts such as place value, addition, subtraction, multiplication, division, fractions, decimals, measurement, geometry, and data handling.
2. How can I help my child improve their math skills at home?
Ans. There are several ways to help your child improve their math skills at home. You can provide them with math-related books, games, and puzzles. Additionally, you can practice math problems together, encourage them to solve real-life math problems, and provide them with a supportive learning environment.
3. What are some effective strategies for learning and remembering multiplication tables?
Ans. Learning and remembering multiplication tables can be made easier by using strategies such as visualization, repeated practice, grouping numbers, using mnemonic devices, and creating flashcards. It is also helpful to understand the concept of multiplication and its relationship with addition.
4. How can I make math lessons more engaging and interesting for my child?
Ans. To make math lessons more engaging and interesting for your child, you can incorporate hands-on activities, manipulatives, real-life examples, and interactive games. You can also relate math concepts to their interests and daily life experiences to make it more relatable and enjoyable.
5. What are some online resources or websites that can help my child with math practice?
Ans. There are several online resources and websites that can help your child with math practice. Some popular ones include Khan Academy, Math Playground, Prodigy, IXL, and Coolmath Games. These platforms offer a variety of math activities, videos, and practice exercises to reinforce concepts taught in Class 5.
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