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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. Write the number in words: 
    a) 575343   b) 657510 
Ans.(a) 
Lakhs Ten 
Thousands 
Thousands Hundred Tens Ones 
5 7 5 3 4 3 
Five lakhs seventy-five thousands three hundred and forty-three. 
(b). 
Lakhs Ten 
Thousands 
Thousands Hundred Tens Ones 
6 5 7 5 1 0 
Six lakhs fifty-seven thousands five hundred and ten. 
 
2. Multiply 786 by 84. 
Ans. 786 × 84  
    = 66024 
3. Write the place value of every digit in given decimals 6078.421. 
Ans. The digits after decimal are 421, so 
The place of value of 4 = 4/10 
The place value of 2 = 2/100 
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. Write the number in words: 
    a) 575343   b) 657510 
Ans.(a) 
Lakhs Ten 
Thousands 
Thousands Hundred Tens Ones 
5 7 5 3 4 3 
Five lakhs seventy-five thousands three hundred and forty-three. 
(b). 
Lakhs Ten 
Thousands 
Thousands Hundred Tens Ones 
6 5 7 5 1 0 
Six lakhs fifty-seven thousands five hundred and ten. 
 
2. Multiply 786 by 84. 
Ans. 786 × 84  
    = 66024 
3. Write the place value of every digit in given decimals 6078.421. 
Ans. The digits after decimal are 421, so 
The place of value of 4 = 4/10 
The place value of 2 = 2/100 
  
2 
 
The place value of 1= 1/1000 
 
4. The difference between the smallest 8-digit number and the greatest 6- digit number 
is             . 
Ans. The smallest 8-digit number = 10000000 
The greatest 6- digit number = 999999 
?Their difference = 10000000-999999 = 9000001 
 
5. The product of a fraction and its reciprocal is               . 
Ans. The product of a fraction and its reciprocal is 1. 
 
6. Find the unknown angle: 
 
 
Ans. The given angle ABC = 
0
90
 
And the angle DBC = 
0
30
 
Therefore, the angle ABD = 90 30 60 ? ? ? ? ?  
 
7. Simplify: ?? 9874523 3354465 2745341  
Ans. 9874523 3354465 2745341 ??  
= 12619864 - 3354465 
= 9265399 
8. Side of square is 6cm, then area of the square will be                  . 
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. Write the number in words: 
    a) 575343   b) 657510 
Ans.(a) 
Lakhs Ten 
Thousands 
Thousands Hundred Tens Ones 
5 7 5 3 4 3 
Five lakhs seventy-five thousands three hundred and forty-three. 
(b). 
Lakhs Ten 
Thousands 
Thousands Hundred Tens Ones 
6 5 7 5 1 0 
Six lakhs fifty-seven thousands five hundred and ten. 
 
2. Multiply 786 by 84. 
Ans. 786 × 84  
    = 66024 
3. Write the place value of every digit in given decimals 6078.421. 
Ans. The digits after decimal are 421, so 
The place of value of 4 = 4/10 
The place value of 2 = 2/100 
  
2 
 
The place value of 1= 1/1000 
 
4. The difference between the smallest 8-digit number and the greatest 6- digit number 
is             . 
Ans. The smallest 8-digit number = 10000000 
The greatest 6- digit number = 999999 
?Their difference = 10000000-999999 = 9000001 
 
5. The product of a fraction and its reciprocal is               . 
Ans. The product of a fraction and its reciprocal is 1. 
 
6. Find the unknown angle: 
 
 
Ans. The given angle ABC = 
0
90
 
And the angle DBC = 
0
30
 
Therefore, the angle ABD = 90 30 60 ? ? ? ? ?  
 
7. Simplify: ?? 9874523 3354465 2745341  
Ans. 9874523 3354465 2745341 ??  
= 12619864 - 3354465 
= 9265399 
8. Side of square is 6cm, then area of the square will be                  . 
  
3 
 
Ans.  . Area of square = side ×side 
                                   = 6 × 6 = 36
2
cm 
 
9. Solve: 
4
5
7
?
 
Ans.  
           
4
5
7
41
75
4
35
?
??
?
 
10. If one jeep has four wheels then 320 jeeps will have how many wheels? 
Ans. One jeep has 4 wheels 
Then 320 jeeps have (4×320) wheels= 1280 wheels. 
 
SECTION B 
(2 Marks Questions) 
 
11. The sum of two numbers is 45,325,144. If one number is 22, 34,324 find the other 
number. 
Ans. One number = 22, 34,324 and let the other number be x 
Sum of two numbers= 45,325,144 
22, 34,324   45,325,144
  4, 53, 25,144  22, 34,324 
4, 30, 90,820
x
x
x
??
??
?
  
 
12. A box contains 125 pencils. How many pencils are there in 300 such boxes? 
Ans. One box contains 125 pencils 
So, 300 boxes will have (300 ×125) pencils = 37500 pencils 
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. Write the number in words: 
    a) 575343   b) 657510 
Ans.(a) 
Lakhs Ten 
Thousands 
Thousands Hundred Tens Ones 
5 7 5 3 4 3 
Five lakhs seventy-five thousands three hundred and forty-three. 
(b). 
Lakhs Ten 
Thousands 
Thousands Hundred Tens Ones 
6 5 7 5 1 0 
Six lakhs fifty-seven thousands five hundred and ten. 
 
2. Multiply 786 by 84. 
Ans. 786 × 84  
    = 66024 
3. Write the place value of every digit in given decimals 6078.421. 
Ans. The digits after decimal are 421, so 
The place of value of 4 = 4/10 
The place value of 2 = 2/100 
  
2 
 
The place value of 1= 1/1000 
 
4. The difference between the smallest 8-digit number and the greatest 6- digit number 
is             . 
Ans. The smallest 8-digit number = 10000000 
The greatest 6- digit number = 999999 
?Their difference = 10000000-999999 = 9000001 
 
5. The product of a fraction and its reciprocal is               . 
Ans. The product of a fraction and its reciprocal is 1. 
 
6. Find the unknown angle: 
 
 
Ans. The given angle ABC = 
0
90
 
And the angle DBC = 
0
30
 
Therefore, the angle ABD = 90 30 60 ? ? ? ? ?  
 
7. Simplify: ?? 9874523 3354465 2745341  
Ans. 9874523 3354465 2745341 ??  
= 12619864 - 3354465 
= 9265399 
8. Side of square is 6cm, then area of the square will be                  . 
  
3 
 
Ans.  . Area of square = side ×side 
                                   = 6 × 6 = 36
2
cm 
 
9. Solve: 
4
5
7
?
 
Ans.  
           
4
5
7
41
75
4
35
?
??
?
 
10. If one jeep has four wheels then 320 jeeps will have how many wheels? 
Ans. One jeep has 4 wheels 
Then 320 jeeps have (4×320) wheels= 1280 wheels. 
 
SECTION B 
(2 Marks Questions) 
 
11. The sum of two numbers is 45,325,144. If one number is 22, 34,324 find the other 
number. 
Ans. One number = 22, 34,324 and let the other number be x 
Sum of two numbers= 45,325,144 
22, 34,324   45,325,144
  4, 53, 25,144  22, 34,324 
4, 30, 90,820
x
x
x
??
??
?
  
 
12. A box contains 125 pencils. How many pencils are there in 300 such boxes? 
Ans. One box contains 125 pencils 
So, 300 boxes will have (300 ×125) pencils = 37500 pencils 
  
4 
 
 
13. Write as decimal fraction 3000+500+70+6+3/10+4/100+3/1000. 
Ans. 3000+500+70+6+
3
10
+
43
100 1000
? 
= 3576.343 
 
14. Divide 645320 by 125 and find quotient and reminder. 
Ans. 645320 ÷125 
5162
125 645320
625
  203
  125
    782
    750
      320
      250
        70
  
 
Quotient = 5162 and Remainder = 70 
 
15. The product of two numbers is 189024 and their L.C.M is 132. Find their H.C.F. 
Ans. Given, L.C.M = 132 
Product of two numbers = 189024 
We know, Product of two numbers = H.C.F × L.C.M 
               ? 189024 = H.C.F × 132 
               ?H.C.F = 
189024
132
 
               ?H.C.F = 1432 
 
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. Write the number in words: 
    a) 575343   b) 657510 
Ans.(a) 
Lakhs Ten 
Thousands 
Thousands Hundred Tens Ones 
5 7 5 3 4 3 
Five lakhs seventy-five thousands three hundred and forty-three. 
(b). 
Lakhs Ten 
Thousands 
Thousands Hundred Tens Ones 
6 5 7 5 1 0 
Six lakhs fifty-seven thousands five hundred and ten. 
 
2. Multiply 786 by 84. 
Ans. 786 × 84  
    = 66024 
3. Write the place value of every digit in given decimals 6078.421. 
Ans. The digits after decimal are 421, so 
The place of value of 4 = 4/10 
The place value of 2 = 2/100 
  
2 
 
The place value of 1= 1/1000 
 
4. The difference between the smallest 8-digit number and the greatest 6- digit number 
is             . 
Ans. The smallest 8-digit number = 10000000 
The greatest 6- digit number = 999999 
?Their difference = 10000000-999999 = 9000001 
 
5. The product of a fraction and its reciprocal is               . 
Ans. The product of a fraction and its reciprocal is 1. 
 
6. Find the unknown angle: 
 
 
Ans. The given angle ABC = 
0
90
 
And the angle DBC = 
0
30
 
Therefore, the angle ABD = 90 30 60 ? ? ? ? ?  
 
7. Simplify: ?? 9874523 3354465 2745341  
Ans. 9874523 3354465 2745341 ??  
= 12619864 - 3354465 
= 9265399 
8. Side of square is 6cm, then area of the square will be                  . 
  
3 
 
Ans.  . Area of square = side ×side 
                                   = 6 × 6 = 36
2
cm 
 
9. Solve: 
4
5
7
?
 
Ans.  
           
4
5
7
41
75
4
35
?
??
?
 
10. If one jeep has four wheels then 320 jeeps will have how many wheels? 
Ans. One jeep has 4 wheels 
Then 320 jeeps have (4×320) wheels= 1280 wheels. 
 
SECTION B 
(2 Marks Questions) 
 
11. The sum of two numbers is 45,325,144. If one number is 22, 34,324 find the other 
number. 
Ans. One number = 22, 34,324 and let the other number be x 
Sum of two numbers= 45,325,144 
22, 34,324   45,325,144
  4, 53, 25,144  22, 34,324 
4, 30, 90,820
x
x
x
??
??
?
  
 
12. A box contains 125 pencils. How many pencils are there in 300 such boxes? 
Ans. One box contains 125 pencils 
So, 300 boxes will have (300 ×125) pencils = 37500 pencils 
  
4 
 
 
13. Write as decimal fraction 3000+500+70+6+3/10+4/100+3/1000. 
Ans. 3000+500+70+6+
3
10
+
43
100 1000
? 
= 3576.343 
 
14. Divide 645320 by 125 and find quotient and reminder. 
Ans. 645320 ÷125 
5162
125 645320
625
  203
  125
    782
    750
      320
      250
        70
  
 
Quotient = 5162 and Remainder = 70 
 
15. The product of two numbers is 189024 and their L.C.M is 132. Find their H.C.F. 
Ans. Given, L.C.M = 132 
Product of two numbers = 189024 
We know, Product of two numbers = H.C.F × L.C.M 
               ? 189024 = H.C.F × 132 
               ?H.C.F = 
189024
132
 
               ?H.C.F = 1432 
 
  
5 
 
16. If 6 kg of milk has 3.354kg of fat, how much fat is there in 22kg of milk? 
Ans. . Fat in 6kg of milk = 3.354kg 
So, Fat in 1kg of milk =  
3.354
6
kg 
?Fat in 22 kg of milk = 
3.354
22 12.298
6
kg ?? 
 
17. Area of a rectangle park is 3600 sq. metre. Its breadth is 60m. Find its length and 
perimeter. 
Ans.  We know, 
Area of rectangle = Length × Breadth 
?3600 = Length × 60 
?Length = 
3600
60
60
cm ? 
Perimeter of rectangle = 2(Length + Breadth) 
                                       = 2(60 +60) = 240 cm 
 
18. Wages of seven laborer are Rs. 80, Rs. 85, Rs. 75, Rs. 105, Rs. 100, Rs. 125and Rs. 80 
find the average wage of the labourers. 
 
Ans. Average wage of workers = 
Sum of wages earned by labourers 
Total number of labourers
 
 
                       = 
80 85 75 105 100 125 80
7
? ? ? ? ? ?
 
                       = 
650
92.86
7
? 
 
 
19. A company earned Rs 2345675 in 2008. Next year the earnings of the company 
increased by Rs128435. How much did the company earn in the year 2009? 
 
Ans. . Earning of company in 2008 = Rs. 2345675 
 Earning increased in 2009 by Rs. 128435 
Therefore, Earning of company in 2009 = Rs. (2345675+128435) 
                                                                   = Rs. 2474110 
 
 
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FAQs on Mathematics Sample Paper - 2 - Sample Papers for Class 5

1. What are some important concepts in Class 5 Mathematics?
Ans. Some important concepts in Class 5 Mathematics include place value, addition, subtraction, multiplication, division, fractions, geometry, and measurement.
2. How can I improve my math skills in Class 5?
Ans. To improve math skills in Class 5, students can practice regularly, solve worksheets and sample papers, ask questions to their teachers, use online resources and educational apps, and participate in group study sessions.
3. How can I make learning math interesting for Class 5 students?
Ans. To make learning math interesting for Class 5 students, teachers can use interactive teaching methods, incorporate real-life examples and practical applications, use math games and puzzles, organize group activities and competitions, and provide positive reinforcement and rewards.
4. How can I help my child who is struggling with math in Class 5?
Ans. If your child is struggling with math in Class 5, you can provide additional support by hiring a tutor, creating a study schedule, breaking down complex concepts into smaller parts, using visual aids and manipulatives, encouraging regular practice, and celebrating small achievements.
5. Are there any online resources available for Class 5 Mathematics?
Ans. Yes, there are several online resources available for Class 5 Mathematics. Some popular ones include educational websites, video tutorials, interactive math games, practice worksheets, and online forums where students can ask questions and seek help from experts.
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