Class 7 Exam > Class 7 Notes > Mathematics (Maths) Class 7 > Class 7 Math: CBSE Sample Question Paper Solutions Term I – 3
Class 7 Math: CBSE Sample Question Paper Solutions Term I – 3 | Mathematics (Maths) Class 7 PDF Download
| Download, print and study this document offline |
Please wait while the PDF view is loading
Page 1
CBSE VII | Mathematics
Sample Paper 3 - Solution
CBSE Board
Class VII Mathematics
Term I
Sample Paper 3 - Solution
Time: 2 ½ hours Total Marks: 80
Section A
1. Correct answer: A
(128 ÷32)÷ (-4)
= 4 ÷ (-4)
= -1
2. Correct answer: A
Total cost = 2.40 × 10
= Rs. 24
3. Correct answer: B
The given observations can be arranged in ascending order as
4, 6, 9, 10, 11, 12 and 18
Here, number of observations = 7 (odd)
Median = Middle observation = 10
4. Correct answer: A
2x + 3 = 7
If we will transpose 3 to RHS, then the term with variable will remain on one side
and the constants will be on other side.
So, the first step is to transpose 3 to RHS.
i.e. 2x = 7 – 3
5. Correct answer: C
?BCA = 180° - 150° = 30° (linear pair angles)
Also, ?B = ?BCA = 30° (Angles opp. to equal sides are equal)
? ?A = 180° - 30° - 30° = 120° (Using angle sum property of triangle)
6. Correct answer: B
Increased amount =
12
Rs. ×54=Rs. 6.48
100
Page 2
CBSE VII | Mathematics
Sample Paper 3 - Solution
CBSE Board
Class VII Mathematics
Term I
Sample Paper 3 - Solution
Time: 2 ½ hours Total Marks: 80
Section A
1. Correct answer: A
(128 ÷32)÷ (-4)
= 4 ÷ (-4)
= -1
2. Correct answer: A
Total cost = 2.40 × 10
= Rs. 24
3. Correct answer: B
The given observations can be arranged in ascending order as
4, 6, 9, 10, 11, 12 and 18
Here, number of observations = 7 (odd)
Median = Middle observation = 10
4. Correct answer: A
2x + 3 = 7
If we will transpose 3 to RHS, then the term with variable will remain on one side
and the constants will be on other side.
So, the first step is to transpose 3 to RHS.
i.e. 2x = 7 – 3
5. Correct answer: C
?BCA = 180° - 150° = 30° (linear pair angles)
Also, ?B = ?BCA = 30° (Angles opp. to equal sides are equal)
? ?A = 180° - 30° - 30° = 120° (Using angle sum property of triangle)
6. Correct answer: B
Increased amount =
12
Rs. ×54=Rs. 6.48
100
CBSE VII | Mathematics
Sample Paper 3 - Solution
7. Correct answer: C
?
28
2
33
So the multiplicative inverse is
3
8
.
8. Correct answer: D
The triangle ABC is a right angled triangle,
By Pythagoras theorem, we have: c
2
= a
2
+ b
2
9. Correct answer: B
21b - 32 + 7b - 20b
= 21b + 7b - 20b – 32
= 8b – 32
10. Correct answer: D
11. Correct answer: A
The two triangles can be proved to be congruent by using SAS congruency criterion.
The corresponding equal parts in triangles ABC and ADE are
12. Correct answer: C
Let the whole number be x.
Twice of the whole number = 2x
9 added to twice of the whole number = 9 + 2x
From the given information, we have:
9 + 2x = 31
2x = 31 - 9
2x = 22
x = 11
Thus, the required whole number is 11.
Page 3
CBSE VII | Mathematics
Sample Paper 3 - Solution
CBSE Board
Class VII Mathematics
Term I
Sample Paper 3 - Solution
Time: 2 ½ hours Total Marks: 80
Section A
1. Correct answer: A
(128 ÷32)÷ (-4)
= 4 ÷ (-4)
= -1
2. Correct answer: A
Total cost = 2.40 × 10
= Rs. 24
3. Correct answer: B
The given observations can be arranged in ascending order as
4, 6, 9, 10, 11, 12 and 18
Here, number of observations = 7 (odd)
Median = Middle observation = 10
4. Correct answer: A
2x + 3 = 7
If we will transpose 3 to RHS, then the term with variable will remain on one side
and the constants will be on other side.
So, the first step is to transpose 3 to RHS.
i.e. 2x = 7 – 3
5. Correct answer: C
?BCA = 180° - 150° = 30° (linear pair angles)
Also, ?B = ?BCA = 30° (Angles opp. to equal sides are equal)
? ?A = 180° - 30° - 30° = 120° (Using angle sum property of triangle)
6. Correct answer: B
Increased amount =
12
Rs. ×54=Rs. 6.48
100
CBSE VII | Mathematics
Sample Paper 3 - Solution
7. Correct answer: C
?
28
2
33
So the multiplicative inverse is
3
8
.
8. Correct answer: D
The triangle ABC is a right angled triangle,
By Pythagoras theorem, we have: c
2
= a
2
+ b
2
9. Correct answer: B
21b - 32 + 7b - 20b
= 21b + 7b - 20b – 32
= 8b – 32
10. Correct answer: D
11. Correct answer: A
The two triangles can be proved to be congruent by using SAS congruency criterion.
The corresponding equal parts in triangles ABC and ADE are
12. Correct answer: C
Let the whole number be x.
Twice of the whole number = 2x
9 added to twice of the whole number = 9 + 2x
From the given information, we have:
9 + 2x = 31
2x = 31 - 9
2x = 22
x = 11
Thus, the required whole number is 11.
CBSE VII | Mathematics
Sample Paper 3 - Solution
Section B
13. Given that, m||p and t is the transversal
We know that, if two parallel lines are cut by a transversal, each pair of alternate
interior angles are equal.
So, ? a = ? z (pair of alternate interior angles)
Thus, ? z = 57
o
.
14. The numbers in ascending order are:
11, 12, 12, 12, 19, 23, 33, 34, 34, 45, 46, 49, 50, 55, 56, 65, 67, 78, 81, 87, 98
As the number of observations (21) are odd,
Median = middle observation = 11
th
observation = 46
Mode is the observation that appears most often.
Here, 12 appears maximum number of times (thrice). So, 12 is the mode.
15. 725 × (-35) + (-725) × 65
= 725 × (-35) - 725 × 65
= 725 x (-35 - 65) [Using distributive property]
= 725 × (-100)
= -72500
16. Sum of 38 and -87 = 38 + (-87) = 38 - 87 = -49
Subtracting (-134) from -49, we get
-49 - (-134) = -49 + 134 = 85
17. Average score = mean score
? ? ? ? ? ? ? ? ? ?
?
?
?
Sum of all observations
Mean=
Total number of observations
12 23 10 77 15 78 90 54 23 10 1
11
393
11
35.7
18. Pie filling made in 1 minute = 9.2 kg
Pie filling made in 6 minutes = 6 × 9.2 kg = 55.2 kg
Page 4
CBSE VII | Mathematics
Sample Paper 3 - Solution
CBSE Board
Class VII Mathematics
Term I
Sample Paper 3 - Solution
Time: 2 ½ hours Total Marks: 80
Section A
1. Correct answer: A
(128 ÷32)÷ (-4)
= 4 ÷ (-4)
= -1
2. Correct answer: A
Total cost = 2.40 × 10
= Rs. 24
3. Correct answer: B
The given observations can be arranged in ascending order as
4, 6, 9, 10, 11, 12 and 18
Here, number of observations = 7 (odd)
Median = Middle observation = 10
4. Correct answer: A
2x + 3 = 7
If we will transpose 3 to RHS, then the term with variable will remain on one side
and the constants will be on other side.
So, the first step is to transpose 3 to RHS.
i.e. 2x = 7 – 3
5. Correct answer: C
?BCA = 180° - 150° = 30° (linear pair angles)
Also, ?B = ?BCA = 30° (Angles opp. to equal sides are equal)
? ?A = 180° - 30° - 30° = 120° (Using angle sum property of triangle)
6. Correct answer: B
Increased amount =
12
Rs. ×54=Rs. 6.48
100
CBSE VII | Mathematics
Sample Paper 3 - Solution
7. Correct answer: C
?
28
2
33
So the multiplicative inverse is
3
8
.
8. Correct answer: D
The triangle ABC is a right angled triangle,
By Pythagoras theorem, we have: c
2
= a
2
+ b
2
9. Correct answer: B
21b - 32 + 7b - 20b
= 21b + 7b - 20b – 32
= 8b – 32
10. Correct answer: D
11. Correct answer: A
The two triangles can be proved to be congruent by using SAS congruency criterion.
The corresponding equal parts in triangles ABC and ADE are
12. Correct answer: C
Let the whole number be x.
Twice of the whole number = 2x
9 added to twice of the whole number = 9 + 2x
From the given information, we have:
9 + 2x = 31
2x = 31 - 9
2x = 22
x = 11
Thus, the required whole number is 11.
CBSE VII | Mathematics
Sample Paper 3 - Solution
Section B
13. Given that, m||p and t is the transversal
We know that, if two parallel lines are cut by a transversal, each pair of alternate
interior angles are equal.
So, ? a = ? z (pair of alternate interior angles)
Thus, ? z = 57
o
.
14. The numbers in ascending order are:
11, 12, 12, 12, 19, 23, 33, 34, 34, 45, 46, 49, 50, 55, 56, 65, 67, 78, 81, 87, 98
As the number of observations (21) are odd,
Median = middle observation = 11
th
observation = 46
Mode is the observation that appears most often.
Here, 12 appears maximum number of times (thrice). So, 12 is the mode.
15. 725 × (-35) + (-725) × 65
= 725 × (-35) - 725 × 65
= 725 x (-35 - 65) [Using distributive property]
= 725 × (-100)
= -72500
16. Sum of 38 and -87 = 38 + (-87) = 38 - 87 = -49
Subtracting (-134) from -49, we get
-49 - (-134) = -49 + 134 = 85
17. Average score = mean score
? ? ? ? ? ? ? ? ? ?
?
?
?
Sum of all observations
Mean=
Total number of observations
12 23 10 77 15 78 90 54 23 10 1
11
393
11
35.7
18. Pie filling made in 1 minute = 9.2 kg
Pie filling made in 6 minutes = 6 × 9.2 kg = 55.2 kg
CBSE VII | Mathematics
Sample Paper 3 - Solution
19. Distance travelled with 1 gallon =
2 32
10 =
33
miles
Distance travelled with
1 11
5=
22
gallons.
11 32
= × miles
23
16
=11× miles
3
176
= miles
3
mile
Thus, Sam can go
176
3
miles with
11
2
gallons.
20. ASA congruence criterion:
The Angle Side Angle (ASA) postulate states that if under correspondence, two
angles and the included side of a triangle is equal to two corresponding angles and
included side of another triangle, then the two triangles are congruent.
Consider the triangles ABC and XYZ as shown below.
Two angles and the included side are congruent.
? ABC = ? XYZ (equal angle)
BC = YZ (equal side)
? ACB = ? XZY (equal angle)
So, ABC XYZ
Therefore, by the ASA congruence criterion, the triangles are congruent.
Page 5
CBSE VII | Mathematics
Sample Paper 3 - Solution
CBSE Board
Class VII Mathematics
Term I
Sample Paper 3 - Solution
Time: 2 ½ hours Total Marks: 80
Section A
1. Correct answer: A
(128 ÷32)÷ (-4)
= 4 ÷ (-4)
= -1
2. Correct answer: A
Total cost = 2.40 × 10
= Rs. 24
3. Correct answer: B
The given observations can be arranged in ascending order as
4, 6, 9, 10, 11, 12 and 18
Here, number of observations = 7 (odd)
Median = Middle observation = 10
4. Correct answer: A
2x + 3 = 7
If we will transpose 3 to RHS, then the term with variable will remain on one side
and the constants will be on other side.
So, the first step is to transpose 3 to RHS.
i.e. 2x = 7 – 3
5. Correct answer: C
?BCA = 180° - 150° = 30° (linear pair angles)
Also, ?B = ?BCA = 30° (Angles opp. to equal sides are equal)
? ?A = 180° - 30° - 30° = 120° (Using angle sum property of triangle)
6. Correct answer: B
Increased amount =
12
Rs. ×54=Rs. 6.48
100
CBSE VII | Mathematics
Sample Paper 3 - Solution
7. Correct answer: C
?
28
2
33
So the multiplicative inverse is
3
8
.
8. Correct answer: D
The triangle ABC is a right angled triangle,
By Pythagoras theorem, we have: c
2
= a
2
+ b
2
9. Correct answer: B
21b - 32 + 7b - 20b
= 21b + 7b - 20b – 32
= 8b – 32
10. Correct answer: D
11. Correct answer: A
The two triangles can be proved to be congruent by using SAS congruency criterion.
The corresponding equal parts in triangles ABC and ADE are
12. Correct answer: C
Let the whole number be x.
Twice of the whole number = 2x
9 added to twice of the whole number = 9 + 2x
From the given information, we have:
9 + 2x = 31
2x = 31 - 9
2x = 22
x = 11
Thus, the required whole number is 11.
CBSE VII | Mathematics
Sample Paper 3 - Solution
Section B
13. Given that, m||p and t is the transversal
We know that, if two parallel lines are cut by a transversal, each pair of alternate
interior angles are equal.
So, ? a = ? z (pair of alternate interior angles)
Thus, ? z = 57
o
.
14. The numbers in ascending order are:
11, 12, 12, 12, 19, 23, 33, 34, 34, 45, 46, 49, 50, 55, 56, 65, 67, 78, 81, 87, 98
As the number of observations (21) are odd,
Median = middle observation = 11
th
observation = 46
Mode is the observation that appears most often.
Here, 12 appears maximum number of times (thrice). So, 12 is the mode.
15. 725 × (-35) + (-725) × 65
= 725 × (-35) - 725 × 65
= 725 x (-35 - 65) [Using distributive property]
= 725 × (-100)
= -72500
16. Sum of 38 and -87 = 38 + (-87) = 38 - 87 = -49
Subtracting (-134) from -49, we get
-49 - (-134) = -49 + 134 = 85
17. Average score = mean score
? ? ? ? ? ? ? ? ? ?
?
?
?
Sum of all observations
Mean=
Total number of observations
12 23 10 77 15 78 90 54 23 10 1
11
393
11
35.7
18. Pie filling made in 1 minute = 9.2 kg
Pie filling made in 6 minutes = 6 × 9.2 kg = 55.2 kg
CBSE VII | Mathematics
Sample Paper 3 - Solution
19. Distance travelled with 1 gallon =
2 32
10 =
33
miles
Distance travelled with
1 11
5=
22
gallons.
11 32
= × miles
23
16
=11× miles
3
176
= miles
3
mile
Thus, Sam can go
176
3
miles with
11
2
gallons.
20. ASA congruence criterion:
The Angle Side Angle (ASA) postulate states that if under correspondence, two
angles and the included side of a triangle is equal to two corresponding angles and
included side of another triangle, then the two triangles are congruent.
Consider the triangles ABC and XYZ as shown below.
Two angles and the included side are congruent.
? ABC = ? XYZ (equal angle)
BC = YZ (equal side)
? ACB = ? XZY (equal angle)
So, ABC XYZ
Therefore, by the ASA congruence criterion, the triangles are congruent.
CBSE VII | Mathematics
Sample Paper 3 - Solution
21. Let A and B be the two numbers such that,
40% of A =
2
B
3
Then,
?
??
??
? ? ? ?
??
??
??
40 2
100 3
22
53
2 5 10
3 2 3
: 5:3
AB
AB
A
B
AB
22. Here, AB = PR (= 3.5 cm),
BC = PQ (= 7.1 cm)
And AC = QR (= 5 cm)
This shows that the three sides of one triangle are equal to the three sides
Of the other triangle. So, by SSS congruence rule, the two triangles are
congruent. From the above three equality relations, it can be easily seen
that A ? R, B ? P and C ? Q.
So, we have ?ABC ? ?RPQ
Read More
|
76 videos|345 docs|39 tests
|
FAQs on Class 7 Math: CBSE Sample Question Paper Solutions Term I – 3 - Mathematics (Maths) Class 7
| 1. What is the CBSE sample question paper for Class 7 Math Term I? |  |
Ans. The CBSE sample question paper for Class 7 Math Term I is a set of practice questions designed by the Central Board of Secondary Education (CBSE) to help students prepare for their exams. It includes questions based on the syllabus and format of the actual exam.
| 2. How can I access the CBSE sample question paper for Class 7 Math Term I? | |
Ans. The CBSE sample question paper for Class 7 Math Term I can be accessed online through the official website of CBSE or other educational platforms that provide study materials for CBSE students. These sample papers are usually available in PDF format and can be downloaded for free.
| 3. Why is it important to solve the CBSE sample question paper for Class 7 Math Term I? | |
Ans. Solving the CBSE sample question paper for Class 7 Math Term I is important for several reasons. It helps students understand the exam pattern, practice time management, and identify their strengths and weaknesses in different topics. It also familiarizes them with the types of questions that can be asked in the actual exam, allowing them to prepare effectively.
| 4. Can the CBSE sample question paper for Class 7 Math Term I be used as a study resource? | |
Ans. Yes, the CBSE sample question paper for Class 7 Math Term I can be used as a study resource. By solving these sample papers, students can enhance their problem-solving skills, improve their understanding of concepts, and gain confidence in their preparation. It is recommended to solve these papers after covering the entire syllabus to assess one's knowledge.
| 5. Are the questions in the CBSE sample question paper for Class 7 Math Term I similar to the actual exam? | |
Ans. The questions in the CBSE sample question paper for Class 7 Math Term I are designed to be similar to the ones that can be asked in the actual exam. However, the actual exam may have variations in terms of difficulty level, marks distribution, and specific topics covered. It is important to refer to the official exam syllabus and previous years' question papers for a comprehensive preparation.
About this Document
|
4.75/5 Rating |
|
Nov 08, 2024 Last updated |
Document Description: Class 7 Math: CBSE Sample Question Paper Solutions Term I – 3 for Class 7 2024 is part of Mathematics (Maths) Class 7 preparation.
The notes and questions for Class 7 Math: CBSE Sample Question Paper Solutions Term I – 3 have been prepared according to the Class 7 exam syllabus. Information about Class 7 Math: CBSE Sample Question Paper Solutions Term I – 3 covers topics
like and Class 7 Math: CBSE Sample Question Paper Solutions Term I – 3 Example, for Class 7 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Class 7 Math: CBSE Sample Question Paper Solutions Term I – 3.
Introduction of Class 7 Math: CBSE Sample Question Paper Solutions Term I – 3 in English is available as part of our Mathematics (Maths) Class 7
for Class 7 & Class 7 Math: CBSE Sample Question Paper Solutions Term I – 3 in Hindi for Mathematics (Maths) Class 7 course.
Download more important topics related with notes, lectures and mock test series for Class 7
Exam by signing up for free. Class 7: Class 7 Math: CBSE Sample Question Paper Solutions Term I – 3 | Mathematics (Maths) Class 7
Description
Full syllabus notes, lecture & questions for Class 7 Math: CBSE Sample Question Paper Solutions Term I – 3 | Mathematics (Maths) Class 7 - Class 7 | Plus excerises question with solution to help you revise complete syllabus for Mathematics (Maths) Class 7 | Best notes, free PDF download
Information about Class 7 Math: CBSE Sample Question Paper Solutions Term I – 3
In this doc you can find the meaning of Class 7 Math: CBSE Sample Question Paper Solutions Term I – 3 defined & explained in the simplest way possible. Besides explaining types of
Class 7 Math: CBSE Sample Question Paper Solutions Term I – 3 theory, EduRev gives you an ample number of questions to practice Class 7 Math: CBSE Sample Question Paper Solutions Term I – 3 tests, examples and also practice Class 7
tests
|
Explore Courses for Class 7 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
ppt
,Class 7 Math: CBSE Sample Question Paper Solutions Term I – 3 | Mathematics (Maths) Class 7
,mock tests for examination
,study material
,Objective type Questions
,video lectures
,Extra Questions
,MCQs
,Sample Paper
,Free
,Class 7 Math: CBSE Sample Question Paper Solutions Term I – 3 | Mathematics (Maths) Class 7
,Exam
,Class 7 Math: CBSE Sample Question Paper Solutions Term I – 3 | Mathematics (Maths) Class 7
,Previous Year Questions with Solutions
,Semester Notes
,Important questions
,practice quizzes
,Summary
,Viva Questions
,past year papers
,shortcuts and tricks
;
Additional Information about Class 7 Math: CBSE Sample Question Paper Solutions Term I – 3 for Class 7 Preparation
Class 7 Math: CBSE Sample Question Paper Solutions Term I – 3 Free PDF Download
The Class 7 Math: CBSE Sample Question Paper Solutions Term I – 3 is an invaluable resource that delves deep into the core of the Class 7 exam.
These study notes are curated by experts and cover all the essential topics and concepts, making your preparation more efficient and effective.
With the help of these notes, you can grasp complex subjects quickly, revise important points easily,
and reinforce your understanding of key concepts. The study notes are presented in a concise and easy-to-understand manner,
allowing you to optimize your learning process. Whether you're looking for best-recommended books, sample papers, study material,
or toppers' notes, this PDF has got you covered. Download the Class 7 Math: CBSE Sample Question Paper Solutions Term I – 3 now and kickstart your journey towards success in the Class 7 exam.
Importance of Class 7 Math: CBSE Sample Question Paper Solutions Term I – 3
The importance of Class 7 Math: CBSE Sample Question Paper Solutions Term I – 3 cannot be overstated, especially for Class 7 aspirants.
This document holds the key to success in the Class 7 exam.
It offers a detailed understanding of the concept, providing invaluable insights into the topic.
By knowing the concepts well in advance, students can plan their preparation effectively.
Utilize this indispensable guide for a well-rounded preparation and achieve your desired results.
Class 7 Math: CBSE Sample Question Paper Solutions Term I – 3 Notes
Class 7 Math: CBSE Sample Question Paper Solutions Term I – 3 Notes offer in-depth insights into the specific topic to help you master it with ease.
This comprehensive document covers all aspects related to Class 7 Math: CBSE Sample Question Paper Solutions Term I – 3.
It includes detailed information about the exam syllabus, recommended books, and study materials for a well-rounded preparation.
Practice papers and question papers enable you to assess your progress effectively.
Additionally, the paper analysis provides valuable tips for tackling the exam strategically.
Access to Toppers' notes gives you an edge in understanding complex concepts.
Whether you're a beginner or aiming for advanced proficiency, Class 7 Math: CBSE Sample Question Paper Solutions Term I – 3 Notes on EduRev are your ultimate resource for success.
Class 7 Math: CBSE Sample Question Paper Solutions Term I – 3 Class 7 Questions
The "Class 7 Math: CBSE Sample Question Paper Solutions Term I – 3 Class 7 Questions" guide is a valuable resource for all aspiring students preparing for the
Class 7 exam. It focuses on providing a wide range of practice questions to help students gauge
their understanding of the exam topics. These questions cover the entire syllabus, ensuring comprehensive preparation.
The guide includes previous years' question papers for students to familiarize themselves with the exam's format and difficulty level.
Additionally, it offers subject-specific question banks, allowing students to focus on weak areas and improve their performance.
Study Class 7 Math: CBSE Sample Question Paper Solutions Term I – 3 on the App
Students of Class 7 can study Class 7 Math: CBSE Sample Question Paper Solutions Term I – 3 alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Class 7 Math: CBSE Sample Question Paper Solutions Term I – 3,
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of Class 7 Math: CBSE Sample Question Paper Solutions Term I – 3 is prepared as per the latest Class 7 syllabus.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup