# CBSE Sample Question Papers for Class 10 Maths Basic 2020 Board Exam

## CBSE Sample Question Papers for Class 10 Maths Basic 2020

Class – X
Mathematics-Basic (241)
Sample Question Paper 2019-20

Max. Marks: 80                                                                                            Duration: 3 hrs.

General Instructions:

1. All questions are compulsory
2. The question paper consists of 40 questions divided into four sections A, B, C & D.
3. Section A comprises of 20 questions of 1 mark each. Section B comprises of 6 questions of 2 marks each.
4. Section C comprises of 8 questions of 3 marks each. Section D comprises 6 questions of 4 marks each.
5. There is no overall choice. However internal choices have been provided in two questions of 1 mark each, two questions of 2 marks each, three questions of 3 marks each and three questions of 4 marks each.
6. You have to attempt only one of the alternatives in all such questions.
7. Use of calculators is not permitted.

SECTION – A

Practice MCQ Questions for Class 10 Maths With Answers for 2020 Board Exams.

Question 1.
HCF of 168 and 126 is   [1]
(a) 21
(b) 42
(c) 14
(d) 18

Question 2.
Empirical relationship between the three measures of central tendency is   [1]
(a) 2 Mean = 3 Median – Mode
(b) 2 Mode = 3 Median – Mean
(c) Mode = 2 Mean – 3 Median
(d) 3 Median = 2 Mode + Mean

Question 3.
In the given figure, if TP and TQ are tangents to a circle with centre O, so that ∠POQ = 110°, then ∠PTQ is   [1]

(a) 110°
(b) 90°
(c) 80°
(d) 70°

Question 4.
325 can be expressed as a product of its primes as   [1]
(a) 52 × 7
(b) 52 × 13
(c) 5 × 132
(d) 2 × 32 × 52

Question 5.
One card is drawn from a well shuffled deck of 52 cards. The probability that it is black queen is   [1]

Question 6.
The sum of the zeroes of the polynomial 2x2 – 8x + 6 is   [1]
(a) -3
(b) 3
(c) -4
(d) 4

Question 7.
Which of the following is the decimal expansion of an irrational number   [1]
(a) 4.561
(b) 0.12
(c) 5.010010001…
(d) 6.03

Question 8.
The following figure shows the graph of y = p(x), where p(x) is a polynomial in variable x. The number of zeroes of the polynomial p(x) is   [1]

(a) 1
(b) 2
(c) 3
(d) 4

Question 9.
The distance of the point P (3, – 4) from the origin is   [1]
(a) 7 units
(b) 5 units
(c) 4 units
(d) 3 units

Question 10.
The mid point of the line segment joining the points (- 5, 7) and (- 1, 3) is   [1]
(a) (-3, 7)
(b) (-3, 5)
(c) (-1, 5)
(d) (5, -3)

(11 – 15) Fill In the blanks:

Question 11.
The point which divides the line segment joining the points A (0, 5) and B (5, 0) internally in the ratio 2:3 is ____.   [1]

Question 12.
The pair of lines represented by the equations 2x+y+3 = 0 and 4x+ky+6 = 0 will be parallel if value of k is ____.   [1]
OR
If the quadratic equation x2-2x+k = 0 has equal roots, then value of k is ____.

Question 13.
The value of sin 60° cos 30° + sin 30° cos 60° is ____.   [1]

Question 14.
Value of cos 0°. Cos 30° .cos 45° . cos 60° . cos 90° is ____.   [1]

Question 15.
The sides of two similar triangles are in the ratio 2:3, then the areas of these triangles are in the ratio   [1]

(16 – 20) Answer the following :

Question 16.
△PQR is right angled isosceles triangle, right angled at R. Find value of sin P.   [1]
OR
If 15 cot A = 8, then find value of cosec A.

Question 17.
If area of quadrant of a circle is 38.5 cm2 then find its diameter (use π = 22/7)   [1]

Question 18.
A dice is thrown once. Find the probability of getting a prime number.   [1]

Question 19.
In the given fig. If DE || BC Find EC.   [1]

Question 20.
Find the common difference of the A.P whose first term is 12 and fifth term is 0.   [1]

SECTION – B

Question 21.
If two coins are tossed simultaneously. Find the probability of getting 2 heads.   [2]

Question 22.
A lot of 25 bulbs contain 5 defective ones. One bulb is drawn at random from the lot. What is the probability that the bulb is good.   [2]
OR
Two dice are thrown simultaneously at random. Find the probability of getting a sum of eight.

Question 23.
Prove that the tangents drawn at the ends of a diameter of a circle are parallel.   [2]

Question 24.
Show that tan 48° tan 23° tan 42° tan 67° = 1.   [2]
OR
Evaluate cos 48° cos 42° – sin 48° sin 42°

Question 25.
Find the area of circle whose circumference is 22 cm.   [2]

Question 26.
A teacher told 10 students to write a polynomial on the black board. Students wrote   [2]
1. x2 + 2
2. 2x + 3
3. x3+ x2 + 1
4. x3+ 2x2 + 1
5. x2 – 2x + 1
6. x – 3
7. x4 + x2 + 1
8. x2 + 2x + 1
9. 2x3 – x2
10. x4 – 1
(i) How many students wrote cubic polynomial
(ii) Divide the polynomial (x2 + 2x + 1) by ( x + 1).

SECTION C

Question 27.
Find the zeroes of the quadratic polynomial x2 – 3x -10 and verify the relationship between the zeroes and coefficient.   [3]

Question 28.
Draw a circle of radius 4 cm.From the point 7 cm away from its centre, construct the pair of tangents to the circle.   [3]
OR
Draw a line segment of length 8 cm and divide it in the ratio 2:3.

Question 29.
Following figure depicts a park where two opposite sides are parallel and left and right ends are semi-circular in shape. It has a 7m wide track for walking

Two friends Seema and Meena went to the park. Meena said that area of the track is 4066m2. Is she right? Explain.   [3]

Question 30.
[3]

Question 31.
Prove that 5 – √3 is irrational, given that √3 is irrational.   [3]
OR
An army contingent of 616 members is to march behind an army band of 32 members in a parade. The two groups are to march in the same number of columns. What is the maximum number of columns in which they can march ?

Question 32.
Prove that the lengths of tangents drawn from an external point to a circle are equal.   [3]

Question 33.
In a class room, four students Sita, Gita, Rita and Anita are sitting at A(3,4), B(6,7), C(9,4), D(6,1) respectively. Then a new student Anjali joins the class

(i) Teacher tells Anjali to sit in the middle of the four students. Find the coordinates of the position where she can sit.
(ii) Calculate the distance between Sita and Anita.
(iii) Which two students are equidistant from Gita.

Question 34.
Solve 2x + 3y = 11 and x – 2y = -12 algebraically and hence find the value of ‘m’ for which y = mx + 3.   [3]

SECTION D

Question 35.
Find two consecutive positive integers sum of whose squares is 365.   [4]

Question 36.
If the sum of first 14 terms of an A.P. is 1050 and its first term is 10, find the 20th term.   [4]
OR
The first term of an A.P. is 5, the last term is 45 and sum is 400. Find the number of terms and the common difference.

Question 37.
As observed from the top of a 75m high light house above the sea level, the angles of depression of two ships are 30º and 45º respectively If one ship is exactly behind the other on the same side of the light house and in the same straight line, find the distance between the two ships. (use √3 = 1.732)   [4]

Question 38.
If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, then prove that the other two sides are divided in the same ratio.   [4]
OR
State and prove the Pythagoras theorem.

Question 39.
A copper rod of diameter 1 cm and length 8 cm is drawn in to a wire of length 18 m of uniform thickness. Find the thickness of wire.   [4]
OR
A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm. Find the height of the cylinder.

Question 40.
The following distribution gives the daily income of 50 workers of a factory

 Daily income 400-420 420-440 440-460 460-480 480-500 Number of workers 12 14 8 6 10

Convert this distribution to less than type of cumulative frequency distribution and draw its ogive.   [4]

## CBSE Sample Papers 2020 for 10th and 12th with Answers & Marking Schemes: All Subjects

### CBSE Sample Papers For Class 10 2019 -2020

CBSE Sample Papers for Class 10 for the academic year of 2019-2020 is tabulated below:

SUBJECT SAMPLE QUESTION PAPER MARKING SCHEME
Class 10 Science SQP MS
Class 10 Elements of Book Keeping and Accountancy SQP MS
Class 10 Elements of Business SQP MS
Class 10 English (Language & Literature) SQP MS
Class 10 Hindi A SQP MS
Class 10 Hindi B SQP MS
Class 10 Home Science SQP MS
Class 10 Computer Application SQP MS
Class 10 Mathematics (Basic) SQP MS

### 2020 Board Exam: Download CBSE Sample Papers for Class 10 Bundle PDF

CBSE Sample Papers for Class 10 Maths CBSE Sample Papers for Class 10 Standard
CBSE Sample Papers for Class 10 English CBSE Sample Papers for Class 10 Sanskrit
CBSE Sample Papers for Class 10 Social Science Formula Handbook for Class 10 Maths and Science
 Class 10 Mathematics (Standard) SQP MS Class 10 Social Science SQP MS Class 10 NCC SQP MS Class 10 Hindustani Music (Melodic) SQP MS Class 10 Hindustani Music (Percussion) SQP MS Class 10 Hindustani Music (Vocal) SQP MS Class 10 Carnatic Music-Melodic Instruments SQP MS Class 10 Carnatic Music-Percussion Instruments SQP MS Class 10 Carnatic Music-Vocal SQP MS Class 10 Painting SQP MS Class 10 Arabic SQP MS Class 10 Bengali SQP MS Class 10 Assamese SQP MS Class 10 Bahasa Melayu SQP MS Class 10 Bhutia SQP MS Class 10 Bodo SQP MS Class 10 French SQP MS Class 10 German SQP MS Class 10 Gujarati SQP MS Class 10 Gurung SQP MS Class 10 Japanese SQP MS Class 10 Kannada SQP MS Class 10 Lepcha SQP MS Class 10 Limboo SQP MS Class 10 Malayalam SQP MS Class 10 Manipuri SQP MS Class 10 Mizo SQP MS Class 10 Marathi SQP MS Class 10 Nepali SQP MS Class 10 Odia SQP MS Class 10 Persian SQP MS Class 10 Punjabi SQP MS Class 10 Rai Language SQP MS Class 10 Russian SQP MS Class 10 Sanskrit SQP MS Class 10 Sherpa SQP MS Class 10 Sindhi SQP MS Class 10 Spanish SQP MS Class 10 Tamil SQP MS Class 10 Tamang SQP Class 10 Tangkhul SQP MS Class 10 Telugu AP SQP MS Class 10 Telugu Telangana SQP MS Class 10 Thai SQP MS Class 10 Tibetan SQP MS Class 10 Urdu A SQP MS Class 10 Urdu B SQP MS

### CBSE Sample Papers for Class 10 Maths

CBSE Sample Papers for Class 10 Maths (2015-2018) are available for download in the table below:

### CBSE Sample Papers for Class 10 Science

CBSE Sample Papers for Class 10 Science (2015-2018) are available for download in the table below:

### CBSE Sample Papers for Class 10 Social Science

CBSE Sample Papers for Class 10 Social Science (2015-2018) are available for download in the table below:

### CBSE Sample Papers for Class 10 Hindi A and Hindi B

CBSE Sample Papers for Class 10 Hindi A and Hindi B (2015-2018) are available for download in the table below:

### CBSE Sample Papers for Class 10 English

CBSE Sample Papers for Class 10 English (2015-2018) are available for download in the table below:

### Solved CBSE Sample Papers for Class 10 English Communicative

CBSE Sample Papers for Class 10 English Communicative (2015-2018) are available for download in the table below:

### CBSE Sample Papers for Class 10 Sanskrit

CBSE Sample Papers for Class 10 Sanskrit (2015-2018) are available for download in the table below:

## CBSE Class 10 Mid Term Exam Question Papers and Sample Papers

CBSE Class 10 Mid Term Exam Question Papers are given below subject wise.

## CBSE Sample Papers for Class 12 with Marking Scheme and Solutions PDF Download for 2020 Exams

CBSE Class 12 Sample Papers are provided hereby Versionweekly for students to make them prepare for their final board exams. These sample papers are designed by our subject experts and as per the latest syllabus(2019-20). All the sample papers are prepared in PDF format, so that students can easily download them and practice offline as well. These sample papers are available here for Physics, Chemistry, Maths and Biology subjects.

SUBJECT SAMPLE QUESTION PAPER MARKING SCHEME
CBSE Sample Paper for Class 12 Accountancy SQP MS
CBSE Sample Paper for Class 12 Arabic SQP MS
CBSE Sample Paper for Class 12 Assamese SQP MS
CBSE Sample Paper for Class 12 Bengali SQP MS
CBSE Sample Paper for Class 12 Bhutia SQP MS
CBSE Sample Paper for Class 12 Biology SQP MS
CBSE Sample Paper for Class 12 Biotechnology SQP MS
CBSE Sample Paper for Class 12 Bodo SQP MS
CBSE Sample Paper for Class 12 Business Studies SQP MS
CBSE Sample Paper for Class 12 Carnatic Melodic SQP MS
CBSE Sample Paper for Class 12 Carnatic Percussion SQP MS
CBSE Sample Paper for Class 12 Carnatic Vocal SQP MS
CBSE Sample Paper for Class 12 Commercial Art SQP MS
CBSE Sample Paper for Class 12 Chemistry SQP MS
CBSE Sample Paper for Class 12 Computer Science – New SQP MS
CBSE Sample Paper for Class 12 Computer Science – Old SQP MS
CBSE Sample Paper for Class 12 Dance Manipuri SQP MS
CBSE Sample Paper for Class 12 Economics SQP MS
CBSE Sample Paper for Class 12 Engg. Graphic SQP MS
CBSE Sample Paper for Class 12 Entrepreneurship SQP MS
CBSE Sample Paper for Class 12 French SQP MS
CBSE Sample Paper for Class 12 Geography SQP MS
CBSE Sample Paper for Class 12 German SQP MS
CBSE Sample Paper for Class 12 Gujarati SQP MS
CBSE Sample Paper for Class 12 Hindi Aichhik SQP MS
CBSE Sample Paper for Class 12 Hindi Adhaar SQP MS
CBSE Sample Paper for Class 12 History SQP MS
CBSE Sample Paper for Class 12 Hindustani Music (Melodic) SQP MS
CBSE Sample Paper for Class 12 Hindustani Music (Percussion) SQP MS
CBSE Sample Paper for Class 12 Hindustani Music (Vocal) SQP MS
CBSE Sample Paper for Class 12 Home Science SQP MS
CBSE Sample Paper for Class 12 Informatics Practices – New SQP MS
CBSE Sample Paper for Class 12 Informatics Practices – Old SQP MS
CBSE Sample Paper for Class 12 Japanese SQP MS
CBSE Sample Paper for Class 12 Kannada SQP MS
CBSE Sample Paper for Class 12 Kashmiri SQP MS
CBSE Sample Paper for Class 12 Legal Studies SQP MS
CBSE Sample Paper for Class 12 Lepcha SQP MS
CBSE Sample Paper for Class 12 Limboo SQP MS
CBSE Sample Paper for Class 12 Malayalam SQP MS
CBSE Sample Paper for Class 12 Marathi SQP MS
CBSE Sample Paper for Class 12 Mathematics SQP MS
CBSE Sample Paper for Class 12 Mizo SQP MS
CBSE Sample Paper for Class 12 Manipuri SQP MS
CBSE Sample Paper for Class 12 NCC SQP MS
CBSE Sample Paper for Class 12 Nepali SQP MS
CBSE Sample Paper for Class 12 Odia SQP MS
CBSE Sample Paper for Class 12 Painting SQP MS
CBSE Sample Paper for Class 12 Graphic SQP MS
CBSE Sample Paper for Class 12 Sculpture SQP MS
CBSE Sample Paper for Class 12 Persian SQP MS
CBSE Sample Paper for Class 12 Physical Education SQP MS
CBSE Sample Paper for Class 12 Physics SQP MS
CBSE Sample Paper for Class 12 Pol. Science SQP MS
CBSE Sample Paper for Class 12 Psychology SQP MS
CBSE Sample Paper for Class 12 Punjabi SQP MS
CBSE Sample Paper for Class 12 Russian SQP MS
CBSE Sample Paper for Class 12 Sindhi SQP MS
CBSE Sample Paper for Class 12 Sociology SQP MS
CBSE Sample Paper for Class 12 Spanish SQP MS
CBSE Sample Paper for Class 12 English Core SQP MS
CBSE Sample Paper for Class 12 English Elective SQP MS
CBSE Sample Paper for Class 12 Sanskrit Core SQP MS
CBSE Sample Paper for Class 12 Sanskrit Elective SQP MS
CBSE Sample Paper for Class 12 Tamil SQP MS
CBSE Sample Paper for Class 12 Tangkhul SQP MS
CBSE Sample Paper for Class 12 Telangana Telugu SQP MS
CBSE Sample Paper for Class 12 Telugu SQP MS
CBSE Sample Paper for Class 12 Tibetan SQP MS
CBSE Sample Paper for Class 12 Urdu Core SQP MS
CBSE Sample Paper for Class 12 Urdu Elective SQP MS

### Sample Paper for Class 12 Maths

cbse.nic.in – The CBSE Sample Papers for Class 12 Maths for the academic year from 2015-2016 to 2019-2020 are as under:

### Sample Paper for Class 12 Physics

The CBSE Sample Papers for Class 12 Physics for the academic year from 2015-2016 to 2019-2020 are as under:

### Sample Paper for Class 12 Chemistry

The CBSE Sample Papers for Class 12 Chemistry for the academic year from 2015-2016 to 2019-2020 are as under:

### Sample Paper for Class 12 Biology

The CBSE Sample Papers for Class 12 Biology for the academic year from 2015-2016 to 2019-2020 are as under:

### Sample Paper for Class 12 English Core

The CBSE Sample Papers for Class 12 English Core for the academic year from 2015-2016 to 2019-2020 are as under:

### Sample Paper for Class 12 English Elective

The CBSE Sample Papers for Class 12 English Elective for the academic year from 2015-2016 to 2019-2020 are as under:

### English Creative Writing and Translation Studies Sample Papers for Class 12

The CBSE Sample Papers for Class 12 English Creative Writing and Translation Studies for the academic year from 2015-2016 to 2019-2020 are as under:

### Sample Paper for Class 12 Computer Science

The CBSE Sample Papers for Class 12 Computer Science for the academic year from 2015-2016 to 2019-2020 are as under:

## Sample Paper for Class 12 Hindi Aichhik

cbse.nic.in Sample Papers for Class 12, Hindi Aichhik are part of CBSE Sample Papers for Class 12. Here we have given Hindi Aichhik Sample Papers for Class 12.