Class 10 Exam > Class 10 Notes > Past Year Papers for Class 10 > CBSE Math Past Year Paper SA-1: Set 4 (2016)
CBSE Math Past Year Paper SA-1: Set 4 (2016) | Past Year Papers for Class 10 PDF Download
| Download, print and study this document offline |
Please wait while the PDF view is loading
Page 1
PRE – SA 1 (2016)
Class – X
SUB : MATHEMATICS
Time Allowed : 3 Hrs. Maximum Marks : 90
Section – A (1 Marks)
Q.1 If 9
2 2
sin 5cos 6. ? ? + = Find tan ?
Q.2 In ABC ?
|| DF BC
Find the value of x
Q.3 If mean of 1,2, 3 ……. n is
16
,
11
n then find the value of n.
Q.4 State whether the following statement is true or false. Justify your answer.
( ) Sin Sin Sin A B A B + = +
Section – B ( 2 Marks Each)
Q.5 25 and 147 are HCF and LCM of two natural numbers respectively. Is it true? Justify your
answer.
Q.6 In the given fig || DE AC and || . DF AE Prove that
EF EC
BF BE
-
Page 2
PRE – SA 1 (2016)
Class – X
SUB : MATHEMATICS
Time Allowed : 3 Hrs. Maximum Marks : 90
Section – A (1 Marks)
Q.1 If 9
2 2
sin 5cos 6. ? ? + = Find tan ?
Q.2 In ABC ?
|| DF BC
Find the value of x
Q.3 If mean of 1,2, 3 ……. n is
16
,
11
n then find the value of n.
Q.4 State whether the following statement is true or false. Justify your answer.
( ) Sin Sin Sin A B A B + = +
Section – B ( 2 Marks Each)
Q.5 25 and 147 are HCF and LCM of two natural numbers respectively. Is it true? Justify your
answer.
Q.6 In the given fig || DE AC and || . DF AE Prove that
EF EC
BF BE
-
Q.7 The average weight of A, B, C is 45 kg. If the average weight of A and B be 40 kg. and that of B
and C be 43 kg. Find the weight of B.
Q. 8 Find the value of tan 60 geometrically.
Q. 9 Find HCF of 3.5 , and 6.5 and 8.5
Q.10 If 2 23 4 19 x y and x y + = - =
Find the value of 2
y
x
-
Section-C (Three Marks Each)
Q.11 Check whether 4
n
can end with the digit 0 for any natural number n.
Q.12 Draw the graph of the equation 5 7 50 7 5 46 x y and x y + = + = and shade the triangular region
formed by the lines and x-axis also find the area of triangle.
Q.13 Two candles of equal height but different thickness are lighted. The first burns off in 6 hours
and the second in 8 hours. How long, after lighting both, will be first candle be half the height
of the second?
Q.14 If and a ß are the zeroes of the polynomial
2
2 15 x x - - then form a quadratic polynomial
whose zeroes are ( ) ( ) 2 2 and a ß
Q.15 If Cos sin 2cos ? ? ? + = Show that os sin 2sin C ? ? ? - =
Q.16 Evaluate
2 2 2 2
2
tan 60 4sin 45 3Sec 30 5Cos 90
Cos 30 Sec60 30 ec Cot
+ + +
+ -
Q.17 ABC ? and DBC ? are on the same box BC and on opposite sides of BC. O is the point of
intersection of AD and BC. Prove that:
area ABC AO
areaof DBC DO
?
=
?
Q.18 In ABC ? , A is obtuse angle PB AC ? and QC AB ? . Prove that AB AQ AC AP × = ×
Page 3
PRE – SA 1 (2016)
Class – X
SUB : MATHEMATICS
Time Allowed : 3 Hrs. Maximum Marks : 90
Section – A (1 Marks)
Q.1 If 9
2 2
sin 5cos 6. ? ? + = Find tan ?
Q.2 In ABC ?
|| DF BC
Find the value of x
Q.3 If mean of 1,2, 3 ……. n is
16
,
11
n then find the value of n.
Q.4 State whether the following statement is true or false. Justify your answer.
( ) Sin Sin Sin A B A B + = +
Section – B ( 2 Marks Each)
Q.5 25 and 147 are HCF and LCM of two natural numbers respectively. Is it true? Justify your
answer.
Q.6 In the given fig || DE AC and || . DF AE Prove that
EF EC
BF BE
-
Q.7 The average weight of A, B, C is 45 kg. If the average weight of A and B be 40 kg. and that of B
and C be 43 kg. Find the weight of B.
Q. 8 Find the value of tan 60 geometrically.
Q. 9 Find HCF of 3.5 , and 6.5 and 8.5
Q.10 If 2 23 4 19 x y and x y + = - =
Find the value of 2
y
x
-
Section-C (Three Marks Each)
Q.11 Check whether 4
n
can end with the digit 0 for any natural number n.
Q.12 Draw the graph of the equation 5 7 50 7 5 46 x y and x y + = + = and shade the triangular region
formed by the lines and x-axis also find the area of triangle.
Q.13 Two candles of equal height but different thickness are lighted. The first burns off in 6 hours
and the second in 8 hours. How long, after lighting both, will be first candle be half the height
of the second?
Q.14 If and a ß are the zeroes of the polynomial
2
2 15 x x - - then form a quadratic polynomial
whose zeroes are ( ) ( ) 2 2 and a ß
Q.15 If Cos sin 2cos ? ? ? + = Show that os sin 2sin C ? ? ? - =
Q.16 Evaluate
2 2 2 2
2
tan 60 4sin 45 3Sec 30 5Cos 90
Cos 30 Sec60 30 ec Cot
+ + +
+ -
Q.17 ABC ? and DBC ? are on the same box BC and on opposite sides of BC. O is the point of
intersection of AD and BC. Prove that:
area ABC AO
areaof DBC DO
?
=
?
Q.18 In ABC ? , A is obtuse angle PB AC ? and QC AB ? . Prove that AB AQ AC AP × = ×
Q. 19 Find mean :
CLASS 0-10 10-20 20-30 30-40 40-50
FREQUENCY 7 12 13 10 8
Q.20 Find the median of the data:
Marks 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80 80-90 90-100
No. of
students
5 3 4 3 3 4 7 9 7 8
Section – D (Four Marks Each)
Q. 21 Find other zeroes of the polynomial ( )
4 3 2
2 7 19 14 30 p x x x x x = + - - + if two of its zeroes are
2 2 and - .
Q.22 In a triangle, if the square of one side is equal to the sum of the squares of the other two sides
then the angle opposite to the first side is a right angle.
Q.23 Evaluate:
( ) ( )
2 2
Sec Cos 90 tan cot 90 Sin 55 Sin 35
tan10tan20tan60tan70tan80
ec ? ? ? ? - - - + +
Q.24 If
1
tan , tan
1 2 1
m
A B
m m
= =
+ +
Using the formula ( )
tan tan
tan
1 tan tan
A B
A B
A B
+
+ =
-
Find A and B where A+B is an acute angle and 3A+B= 105.
Q.25 p(x) is a polynomial of degree more than 2, when p(x) is divided by 2 x + it leaves a remainder
2 and when it is divided by ( ) 3 x - it leaves a remainder 3. If p(x) when divided by
2
6 x x - -
leaves a remainder ax+b. Find the value of a-b.
Q.26 The following table gives the production yield per hectare of wheat of 100 farms of a village:
Production yield in kg/Hectare 50-55 55-60 60-65 65-70 70-75 75-80
No. of Farms 2 8 12 24 38 16
Change the above distribution to more than type distribution and draw its again.
Page 4
PRE – SA 1 (2016)
Class – X
SUB : MATHEMATICS
Time Allowed : 3 Hrs. Maximum Marks : 90
Section – A (1 Marks)
Q.1 If 9
2 2
sin 5cos 6. ? ? + = Find tan ?
Q.2 In ABC ?
|| DF BC
Find the value of x
Q.3 If mean of 1,2, 3 ……. n is
16
,
11
n then find the value of n.
Q.4 State whether the following statement is true or false. Justify your answer.
( ) Sin Sin Sin A B A B + = +
Section – B ( 2 Marks Each)
Q.5 25 and 147 are HCF and LCM of two natural numbers respectively. Is it true? Justify your
answer.
Q.6 In the given fig || DE AC and || . DF AE Prove that
EF EC
BF BE
-
Q.7 The average weight of A, B, C is 45 kg. If the average weight of A and B be 40 kg. and that of B
and C be 43 kg. Find the weight of B.
Q. 8 Find the value of tan 60 geometrically.
Q. 9 Find HCF of 3.5 , and 6.5 and 8.5
Q.10 If 2 23 4 19 x y and x y + = - =
Find the value of 2
y
x
-
Section-C (Three Marks Each)
Q.11 Check whether 4
n
can end with the digit 0 for any natural number n.
Q.12 Draw the graph of the equation 5 7 50 7 5 46 x y and x y + = + = and shade the triangular region
formed by the lines and x-axis also find the area of triangle.
Q.13 Two candles of equal height but different thickness are lighted. The first burns off in 6 hours
and the second in 8 hours. How long, after lighting both, will be first candle be half the height
of the second?
Q.14 If and a ß are the zeroes of the polynomial
2
2 15 x x - - then form a quadratic polynomial
whose zeroes are ( ) ( ) 2 2 and a ß
Q.15 If Cos sin 2cos ? ? ? + = Show that os sin 2sin C ? ? ? - =
Q.16 Evaluate
2 2 2 2
2
tan 60 4sin 45 3Sec 30 5Cos 90
Cos 30 Sec60 30 ec Cot
+ + +
+ -
Q.17 ABC ? and DBC ? are on the same box BC and on opposite sides of BC. O is the point of
intersection of AD and BC. Prove that:
area ABC AO
areaof DBC DO
?
=
?
Q.18 In ABC ? , A is obtuse angle PB AC ? and QC AB ? . Prove that AB AQ AC AP × = ×
Q. 19 Find mean :
CLASS 0-10 10-20 20-30 30-40 40-50
FREQUENCY 7 12 13 10 8
Q.20 Find the median of the data:
Marks 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80 80-90 90-100
No. of
students
5 3 4 3 3 4 7 9 7 8
Section – D (Four Marks Each)
Q. 21 Find other zeroes of the polynomial ( )
4 3 2
2 7 19 14 30 p x x x x x = + - - + if two of its zeroes are
2 2 and - .
Q.22 In a triangle, if the square of one side is equal to the sum of the squares of the other two sides
then the angle opposite to the first side is a right angle.
Q.23 Evaluate:
( ) ( )
2 2
Sec Cos 90 tan cot 90 Sin 55 Sin 35
tan10tan20tan60tan70tan80
ec ? ? ? ? - - - + +
Q.24 If
1
tan , tan
1 2 1
m
A B
m m
= =
+ +
Using the formula ( )
tan tan
tan
1 tan tan
A B
A B
A B
+
+ =
-
Find A and B where A+B is an acute angle and 3A+B= 105.
Q.25 p(x) is a polynomial of degree more than 2, when p(x) is divided by 2 x + it leaves a remainder
2 and when it is divided by ( ) 3 x - it leaves a remainder 3. If p(x) when divided by
2
6 x x - -
leaves a remainder ax+b. Find the value of a-b.
Q.26 The following table gives the production yield per hectare of wheat of 100 farms of a village:
Production yield in kg/Hectare 50-55 55-60 60-65 65-70 70-75 75-80
No. of Farms 2 8 12 24 38 16
Change the above distribution to more than type distribution and draw its again.
Q.27 Prove that:
in os
1
ec tan 1 os cot 1
s A c A
s A A c ecA A
+ =
+ - + -
Q.28 If the mean of the following frequency distribution is 65.6. Find the missing frequencies x & y.
Class 10-30 30-50 50-70 70-90 90-110 110-130
Frequency 5 8 x 20 y 2 =50
Q.29 A railway half ticket costs half the full fare and the reservation charge is the same on half ticket
as on full ticket. One reserved first class ticket from Mumbai to Ahmedabad costs Rs. 216 and
full and one half reserved first class tickets costs Rs. 327. What is the basic first class full fare
and what is the reservation charge?
Q.30 In ABC ? is triangle. PQ is a line segment intersecting AB in P and AC in Q. Such that PQ/BC
and divides ABC ? into two parts equal in area. Find BP/AB.
Q.31 Show that
2
p will leave a remainder 1 when divided by 8 if p is an odd positive integer.
Read More
FAQs on CBSE Math Past Year Paper SA-1: Set 4 (2016) - Past Year Papers for Class 10
| 1. What is the CBSE Math Past Year Paper SA-1? |  |
Ans. The CBSE Math Past Year Paper SA-1 refers to the first summative assessment conducted by the Central Board of Secondary Education (CBSE) for the subject of Mathematics. It is an examination that assesses the knowledge and understanding of students in Class 10 based on the syllabus and topics covered during the first half of the academic year.
| 2. How can I access the CBSE Math Past Year Paper SA-1 for Class 10 Set 4 (2016)? | |
Ans. The CBSE Math Past Year Paper SA-1 for Class 10 Set 4 (2016) can be accessed through various sources. One way is to visit the official website of CBSE (cbse.nic.in) and look for the previous years' question papers section. Another way is to search for reliable educational websites or forums that provide access to past year papers. Additionally, some books or study materials may also include these question papers.
| 3. What topics are covered in the CBSE Math Past Year Paper SA-1 for Class 10 Set 4 (2016)? | |
Ans. The CBSE Math Past Year Paper SA-1 for Class 10 Set 4 (2016) covers a range of topics from the Mathematics syllabus for Class 10. Some of the common topics that may be included are algebra, geometry, trigonometry, statistics, and probability. It is important for students to thoroughly revise and practice these topics to perform well in the examination.
| 4. How can solving the CBSE Math Past Year Paper SA-1 for Class 10 Set 4 (2016) help in exam preparation? | |
Ans. Solving the CBSE Math Past Year Paper SA-1 for Class 10 Set 4 (2016) can be beneficial in exam preparation in several ways. Firstly, it provides students with an understanding of the exam pattern, marking scheme, and types of questions that can be expected in the actual examination. Secondly, it allows students to assess their level of preparedness and identify areas where they need to focus more. Lastly, it helps in improving time management skills and builds confidence by familiarizing students with the format of the exam.
| 5. Are there any additional resources available to support the preparation for the CBSE Math Past Year Paper SA-1 for Class 10 Set 4 (2016)? | |
Ans. Yes, there are several additional resources available to support the preparation for the CBSE Math Past Year Paper SA-1 for Class 10 Set 4 (2016). Students can refer to textbooks prescribed by CBSE, solve sample question papers, enroll in online or offline coaching classes, and seek guidance from teachers or subject matter experts. Additionally, there are various educational websites and mobile applications that offer study materials, video lessons, and practice quizzes to enhance exam preparation.
Related Exams
About this Document
|
1.2K Views |
|
4.94/5 Rating |
|
Dec 26, 2024 Last updated |
Document Description: CBSE Math Past Year Paper SA-1: Set 4 (2016) for Class 10 2024 is part of Past Year Papers for Class 10 preparation.
The notes and questions for CBSE Math Past Year Paper SA-1: Set 4 (2016) have been prepared according to the Class 10 exam syllabus. Information about CBSE Math Past Year Paper SA-1: Set 4 (2016) covers topics
like and CBSE Math Past Year Paper SA-1: Set 4 (2016) Example, for Class 10 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for CBSE Math Past Year Paper SA-1: Set 4 (2016).
Introduction of CBSE Math Past Year Paper SA-1: Set 4 (2016) in English is available as part of our Past Year Papers for Class 10
for Class 10 & CBSE Math Past Year Paper SA-1: Set 4 (2016) in Hindi for Past Year Papers for Class 10 course.
Download more important topics related with notes, lectures and mock test series for Class 10
Exam by signing up for free. Class 10: CBSE Math Past Year Paper SA-1: Set 4 (2016) | Past Year Papers for Class 10
Description
Full syllabus notes, lecture & questions for CBSE Math Past Year Paper SA-1: Set 4 (2016) | Past Year Papers for Class 10 - Class 10 | Plus excerises question with solution to help you revise complete syllabus for Past Year Papers for Class 10 | Best notes, free PDF download
Information about CBSE Math Past Year Paper SA-1: Set 4 (2016)
In this doc you can find the meaning of CBSE Math Past Year Paper SA-1: Set 4 (2016) defined & explained in the simplest way possible. Besides explaining types of
CBSE Math Past Year Paper SA-1: Set 4 (2016) theory, EduRev gives you an ample number of questions to practice CBSE Math Past Year Paper SA-1: Set 4 (2016) tests, examples and also practice Class 10
tests
|
Explore Courses for Class 10 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
MCQs
,practice quizzes
,video lectures
,Viva Questions
,Exam
,CBSE Math Past Year Paper SA-1: Set 4 (2016) | Past Year Papers for Class 10
,CBSE Math Past Year Paper SA-1: Set 4 (2016) | Past Year Papers for Class 10
,Semester Notes
,study material
,past year papers
,Objective type Questions
,mock tests for examination
,shortcuts and tricks
,ppt
,Extra Questions
,Summary
,Previous Year Questions with Solutions
,Sample Paper
,Important questions
,CBSE Math Past Year Paper SA-1: Set 4 (2016) | Past Year Papers for Class 10
,Free
;
Additional Information about CBSE Math Past Year Paper SA-1: Set 4 (2016) for Class 10 Preparation
CBSE Math Past Year Paper SA-1: Set 4 (2016) Free PDF Download
The CBSE Math Past Year Paper SA-1: Set 4 (2016) is an invaluable resource that delves deep into the core of the Class 10 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 CBSE Math Past Year Paper SA-1: Set 4 (2016) now and kickstart your journey towards success in the Class 10 exam.
Importance of CBSE Math Past Year Paper SA-1: Set 4 (2016)
The importance of CBSE Math Past Year Paper SA-1: Set 4 (2016) cannot be overstated, especially for Class 10 aspirants.
This document holds the key to success in the Class 10 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.
CBSE Math Past Year Paper SA-1: Set 4 (2016) Notes
CBSE Math Past Year Paper SA-1: Set 4 (2016) Notes offer in-depth insights into the specific topic to help you master it with ease.
This comprehensive document covers all aspects related to CBSE Math Past Year Paper SA-1: Set 4 (2016).
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, CBSE Math Past Year Paper SA-1: Set 4 (2016) Notes on EduRev are your ultimate resource for success.
CBSE Math Past Year Paper SA-1: Set 4 (2016) Class 10 Questions
The "CBSE Math Past Year Paper SA-1: Set 4 (2016) Class 10 Questions" guide is a valuable resource for all aspiring students preparing for the
Class 10 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 CBSE Math Past Year Paper SA-1: Set 4 (2016) on the App
Students of Class 10 can study CBSE Math Past Year Paper SA-1: Set 4 (2016) alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the CBSE Math Past Year Paper SA-1: Set 4 (2016),
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 CBSE Math Past Year Paper SA-1: Set 4 (2016) is prepared as per the latest Class 10 syllabus.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup