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Page 1
CBSE VI | Mathematics
Sample Paper 3 – Solution
CBSE Board
Class VI Mathematics
Term I
Sample Paper 3 – Solution
Time: 2 ½ hours Total Marks: 80
Section A
1. Correct answer: D
One crore can be written as 1,00,00,000.
One thousand can be written as 1000.
So, 10000 times one thousand would make one crore.
2. Correct answer: A
There are 1000 + 1 = 1001 whole numbers upto 1000.
i.e. 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, ..., 1000
3. Correct answer: C
(–42) + (–35) = –42 – 35 = –77
4. Correct answer: B
Fifth multiple of 18 = 18 × 5 = 90
5. Correct answer: A
1 1 10
33
3 3 3
? ? ?
6. Correct answer: B
The English alphabet Z represents an open curve.
7. Correct Answer: C
(–2) – (–5)
Subtracting a negative integer means adding its positive integer.
? (–2) – (–5) = (–2) + 5 = 3
Page 2
CBSE VI | Mathematics
Sample Paper 3 – Solution
CBSE Board
Class VI Mathematics
Term I
Sample Paper 3 – Solution
Time: 2 ½ hours Total Marks: 80
Section A
1. Correct answer: D
One crore can be written as 1,00,00,000.
One thousand can be written as 1000.
So, 10000 times one thousand would make one crore.
2. Correct answer: A
There are 1000 + 1 = 1001 whole numbers upto 1000.
i.e. 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, ..., 1000
3. Correct answer: C
(–42) + (–35) = –42 – 35 = –77
4. Correct answer: B
Fifth multiple of 18 = 18 × 5 = 90
5. Correct answer: A
1 1 10
33
3 3 3
? ? ?
6. Correct answer: B
The English alphabet Z represents an open curve.
7. Correct Answer: C
(–2) – (–5)
Subtracting a negative integer means adding its positive integer.
? (–2) – (–5) = (–2) + 5 = 3
CBSE VI | Mathematics
Sample Paper 3 – Solution
8. Correct Answer: C
The numbers 3, (–3), 2, 0 and (–4) can be arranged in the ascending order as (–4), (–
3), 0, 2, 3
The numbers lying to the left of the number are smaller than those lying to its right.
Also zero is smaller than every positive number and greater than every negative
number.
9. Correct Answer: D
12
54
55
?
26 22
55
26 22
5
48
5
3
9
5
??
?
?
?
?
10. Correct Answer: B
One and only one line passes through any two given points.
11. Correct Answer: D
A right angle measures 90°.
12. Correct Answer: B
The smallest whole number is 0.
Section B
13. (i) –9 > –15
(ii) –10 < 10
(iii) 0 < 3
(iv) –28 < 17
Page 3
CBSE VI | Mathematics
Sample Paper 3 – Solution
CBSE Board
Class VI Mathematics
Term I
Sample Paper 3 – Solution
Time: 2 ½ hours Total Marks: 80
Section A
1. Correct answer: D
One crore can be written as 1,00,00,000.
One thousand can be written as 1000.
So, 10000 times one thousand would make one crore.
2. Correct answer: A
There are 1000 + 1 = 1001 whole numbers upto 1000.
i.e. 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, ..., 1000
3. Correct answer: C
(–42) + (–35) = –42 – 35 = –77
4. Correct answer: B
Fifth multiple of 18 = 18 × 5 = 90
5. Correct answer: A
1 1 10
33
3 3 3
? ? ?
6. Correct answer: B
The English alphabet Z represents an open curve.
7. Correct Answer: C
(–2) – (–5)
Subtracting a negative integer means adding its positive integer.
? (–2) – (–5) = (–2) + 5 = 3
CBSE VI | Mathematics
Sample Paper 3 – Solution
8. Correct Answer: C
The numbers 3, (–3), 2, 0 and (–4) can be arranged in the ascending order as (–4), (–
3), 0, 2, 3
The numbers lying to the left of the number are smaller than those lying to its right.
Also zero is smaller than every positive number and greater than every negative
number.
9. Correct Answer: D
12
54
55
?
26 22
55
26 22
5
48
5
3
9
5
??
?
?
?
?
10. Correct Answer: B
One and only one line passes through any two given points.
11. Correct Answer: D
A right angle measures 90°.
12. Correct Answer: B
The smallest whole number is 0.
Section B
13. (i) –9 > –15
(ii) –10 < 10
(iii) 0 < 3
(iv) –28 < 17
CBSE VI | Mathematics
Sample Paper 3 – Solution
14. Measure of ?UVW = 90 ?, measure of ?XYZ = 49 ?.
Measure of ?UVW > measure of ?XYZ
? ?UVW is the bigger of the two angles.
15. The number 1 is neither a prime number nor a composite number.
16. Numbers to the left of zero are:
–9, –28, –100, –4, –1, –48, –95.
Numbers to the right of zero are:
+5, +81, +1, +72, +65.
17. A triangle has 6 exterior angles in all.
18. Arrange the numbers 78712354 and 78721124 in place-value chart:
Cr L L TTh Th H T O
7 8 7 1 2 3 5 4
7 8 7 2 1 1 2 4
Clearly both numbers have 8 digits.
At crores place both have the same digit, i.e. 7.
At ten lakhs place both have the same digit, i.e. 8.
At lakhs place both have the same digit, i.e. 7.
But at ten thousands place, first number has 1 and second number has 2.
Clearly, 2 > 1.
Hence 78721124 > 78712354
Page 4
CBSE VI | Mathematics
Sample Paper 3 – Solution
CBSE Board
Class VI Mathematics
Term I
Sample Paper 3 – Solution
Time: 2 ½ hours Total Marks: 80
Section A
1. Correct answer: D
One crore can be written as 1,00,00,000.
One thousand can be written as 1000.
So, 10000 times one thousand would make one crore.
2. Correct answer: A
There are 1000 + 1 = 1001 whole numbers upto 1000.
i.e. 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, ..., 1000
3. Correct answer: C
(–42) + (–35) = –42 – 35 = –77
4. Correct answer: B
Fifth multiple of 18 = 18 × 5 = 90
5. Correct answer: A
1 1 10
33
3 3 3
? ? ?
6. Correct answer: B
The English alphabet Z represents an open curve.
7. Correct Answer: C
(–2) – (–5)
Subtracting a negative integer means adding its positive integer.
? (–2) – (–5) = (–2) + 5 = 3
CBSE VI | Mathematics
Sample Paper 3 – Solution
8. Correct Answer: C
The numbers 3, (–3), 2, 0 and (–4) can be arranged in the ascending order as (–4), (–
3), 0, 2, 3
The numbers lying to the left of the number are smaller than those lying to its right.
Also zero is smaller than every positive number and greater than every negative
number.
9. Correct Answer: D
12
54
55
?
26 22
55
26 22
5
48
5
3
9
5
??
?
?
?
?
10. Correct Answer: B
One and only one line passes through any two given points.
11. Correct Answer: D
A right angle measures 90°.
12. Correct Answer: B
The smallest whole number is 0.
Section B
13. (i) –9 > –15
(ii) –10 < 10
(iii) 0 < 3
(iv) –28 < 17
CBSE VI | Mathematics
Sample Paper 3 – Solution
14. Measure of ?UVW = 90 ?, measure of ?XYZ = 49 ?.
Measure of ?UVW > measure of ?XYZ
? ?UVW is the bigger of the two angles.
15. The number 1 is neither a prime number nor a composite number.
16. Numbers to the left of zero are:
–9, –28, –100, –4, –1, –48, –95.
Numbers to the right of zero are:
+5, +81, +1, +72, +65.
17. A triangle has 6 exterior angles in all.
18. Arrange the numbers 78712354 and 78721124 in place-value chart:
Cr L L TTh Th H T O
7 8 7 1 2 3 5 4
7 8 7 2 1 1 2 4
Clearly both numbers have 8 digits.
At crores place both have the same digit, i.e. 7.
At ten lakhs place both have the same digit, i.e. 8.
At lakhs place both have the same digit, i.e. 7.
But at ten thousands place, first number has 1 and second number has 2.
Clearly, 2 > 1.
Hence 78721124 > 78712354
CBSE VI | Mathematics
Sample Paper 3 – Solution
19.
? ?
? ?
? ?
? ?
21
Total ingredients purchased = kg sugar kg rice
53
21
53
L.C.M. of the denominators 5 and 3 is 15
2 3 1 5
Total ingredients purchased=
5 3 3 5
65
15 15
65
15
11
15
?
??
??
??
??
??
?
?
?
20.
(a) Going 6 m to the West
(b) A withdrawal of Rs. 100
(c) 10 km below sea level
(d) Spending Rs. 500
21. A cube and a trapezium prism have the same number of faces, vertices and edges.
Both have 6 faces, 8 vertices, and 12 edges.
22. Given number is 1258. Its unit digit is 8, which is divisible by 2. So, 1258 is divisible by
2.
Sum of its digits = 1 + 2 + 5 + 8 = 16, which is not divisible by 3. So, 1258 is not
divisible by 3.Because 1258 is divisible by 2 but not by 3, it is not divisible by 6.
Page 5
CBSE VI | Mathematics
Sample Paper 3 – Solution
CBSE Board
Class VI Mathematics
Term I
Sample Paper 3 – Solution
Time: 2 ½ hours Total Marks: 80
Section A
1. Correct answer: D
One crore can be written as 1,00,00,000.
One thousand can be written as 1000.
So, 10000 times one thousand would make one crore.
2. Correct answer: A
There are 1000 + 1 = 1001 whole numbers upto 1000.
i.e. 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, ..., 1000
3. Correct answer: C
(–42) + (–35) = –42 – 35 = –77
4. Correct answer: B
Fifth multiple of 18 = 18 × 5 = 90
5. Correct answer: A
1 1 10
33
3 3 3
? ? ?
6. Correct answer: B
The English alphabet Z represents an open curve.
7. Correct Answer: C
(–2) – (–5)
Subtracting a negative integer means adding its positive integer.
? (–2) – (–5) = (–2) + 5 = 3
CBSE VI | Mathematics
Sample Paper 3 – Solution
8. Correct Answer: C
The numbers 3, (–3), 2, 0 and (–4) can be arranged in the ascending order as (–4), (–
3), 0, 2, 3
The numbers lying to the left of the number are smaller than those lying to its right.
Also zero is smaller than every positive number and greater than every negative
number.
9. Correct Answer: D
12
54
55
?
26 22
55
26 22
5
48
5
3
9
5
??
?
?
?
?
10. Correct Answer: B
One and only one line passes through any two given points.
11. Correct Answer: D
A right angle measures 90°.
12. Correct Answer: B
The smallest whole number is 0.
Section B
13. (i) –9 > –15
(ii) –10 < 10
(iii) 0 < 3
(iv) –28 < 17
CBSE VI | Mathematics
Sample Paper 3 – Solution
14. Measure of ?UVW = 90 ?, measure of ?XYZ = 49 ?.
Measure of ?UVW > measure of ?XYZ
? ?UVW is the bigger of the two angles.
15. The number 1 is neither a prime number nor a composite number.
16. Numbers to the left of zero are:
–9, –28, –100, –4, –1, –48, –95.
Numbers to the right of zero are:
+5, +81, +1, +72, +65.
17. A triangle has 6 exterior angles in all.
18. Arrange the numbers 78712354 and 78721124 in place-value chart:
Cr L L TTh Th H T O
7 8 7 1 2 3 5 4
7 8 7 2 1 1 2 4
Clearly both numbers have 8 digits.
At crores place both have the same digit, i.e. 7.
At ten lakhs place both have the same digit, i.e. 8.
At lakhs place both have the same digit, i.e. 7.
But at ten thousands place, first number has 1 and second number has 2.
Clearly, 2 > 1.
Hence 78721124 > 78712354
CBSE VI | Mathematics
Sample Paper 3 – Solution
19.
? ?
? ?
? ?
? ?
21
Total ingredients purchased = kg sugar kg rice
53
21
53
L.C.M. of the denominators 5 and 3 is 15
2 3 1 5
Total ingredients purchased=
5 3 3 5
65
15 15
65
15
11
15
?
??
??
??
??
??
?
?
?
20.
(a) Going 6 m to the West
(b) A withdrawal of Rs. 100
(c) 10 km below sea level
(d) Spending Rs. 500
21. A cube and a trapezium prism have the same number of faces, vertices and edges.
Both have 6 faces, 8 vertices, and 12 edges.
22. Given number is 1258. Its unit digit is 8, which is divisible by 2. So, 1258 is divisible by
2.
Sum of its digits = 1 + 2 + 5 + 8 = 16, which is not divisible by 3. So, 1258 is not
divisible by 3.Because 1258 is divisible by 2 but not by 3, it is not divisible by 6.
CBSE VI | Mathematics
Sample Paper 3 – Solution
23. Minu’s growth =
th
3
5
of an inch
Her brother’s growth =
th
2
5
of an inch
Difference in the growth of Minu and her brother
3 2 3 2 1
5 5 5 5
So, Minu grew
th
1
5
of an inch more than her brother.
24.
(a) 35° - Acute angle because the measure is less than 90°.
(b) 185° - Reflex angle because the measure is greater than 180° and less than 360°.
(c) 90° - An angle with measure of 90° is a right angle.
(d) 92° - An obtuse angle because the measure is greater than 90° and less than 180°.
Section C
25. LCM of 12 and 16 = (4 × 3 × 4) = 48
So, we convert each one of
7
12
and
9
16
into an equivalent fraction having 48 as
denominator.
7 7 4 28 9 9 3 27
and
12 12 4 48 16 16 3 48
28 27
Clearly,
48 48
79
Hence,
12 16
??
? ? ? ?
??
?
?
26. Each of the 8 vertices of the cube has now been replaced by three vertices of a
triangle.
So, there are now 24 vertices. The cube had 6 square faces.
Now, those faces are still there but have become octagons.
Additionally, there are now 8 new triangular faces.
So, there is a total of 14 faces.
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FAQs on Class 6 Math: CBSE Sample Question Paper Solutions Term I – 3 - Mathematics (Maths) Class 6
| 1. What is the format of the CBSE Class 6 Math exam? |  |
Ans. The CBSE Class 6 Math exam is divided into two terms. Term I usually takes place in September, while Term II is conducted in March. Each term consists of a written exam of 80 marks and a practical exam of 20 marks.
| 2. How can I prepare for the CBSE Class 6 Math exam effectively? | |
Ans. To prepare for the CBSE Class 6 Math exam effectively, it is important to follow a structured study plan. Start by understanding the syllabus and exam pattern. Practice solving sample papers and previous year question papers. Regularly revise the concepts and formulas. Seek help from teachers or classmates if needed.
| 3. Are there any specific topics that I should focus on for the CBSE Class 6 Math exam? | |
Ans. Yes, there are certain topics that carry more weightage in the CBSE Class 6 Math exam. These include fractions, decimals, basic geometry, data handling, and measurement. It is important to thoroughly understand these topics and practice solving related questions.
| 4. How can I improve my problem-solving skills for the CBSE Class 6 Math exam? | |
Ans. Improving problem-solving skills requires practice. Start by solving simple problems and gradually move on to more complex ones. Break down the problem into smaller steps and use logical reasoning to find the solution. Practice solving different types of problems from various sources, such as textbooks, workbooks, and online resources.
| 5. Are there any recommended resources or books for the CBSE Class 6 Math exam preparation? | |
Ans. There are several recommended resources and books for CBSE Class 6 Math exam preparation. Some popular ones include NCERT textbook for Class 6 Mathematics, RS Aggarwal's Mathematics for Class 6, and RD Sharma's Mathematics for Class 6. Online platforms like Khan Academy and TopperLearning also provide comprehensive study materials and practice questions for Class 6 Math.
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