(BASIC) CLASS X SAMPLE TEST PAPER-8
SUBJECT- MATHEMATICS (241)
TIME: 3 Hours M. M.: 80
General instructions:
1. This question paper contains two parts A and B.
2. Both part A and part B have internal choices.
Part – A:
1. It consists three sections- I and II.
2. Section I has 16 questions of 1 mark each. Internal choices are provided in 5 questions.
3. Section II has 4 questions on case study. Each case study has 5 case-based sub-parts.
An examinee is to attempt any 4 out of 5 sub-parts.
Part – B:
1. Question No. 21 to 26 are very short answer type questions of 2 marks each.
2. Question No. 27 to 33 are short answer type questions of 3 marks each.
3. Question No. 34 to 36 are long answer type questions of 5 marks each.
4. Internal choices are provided in 2 questions of 2 marks, 2 questions of 3 marks and 1
question of 5 marks.
Part – A
Section – I
Section I has 16 questions of 1 mark each. Internal choices are provided in 5 questions.
1. Express 196 as the product of its primes.
Or
Find LCM of numbers whose prime factorization are expressed as 3x52 and 32x72.
2.
3. Given that HCF (91, 26) = 13, find LCM (91, 26).
4. Write a quadratic polynomial, sum and product of whose zeroes are ¼ and – 1
respectively.
5. Find the solution of the equations x – y = 2 and x + y = 4.
Or
Is the pair of equations x + 3y = 17 and 2x + 6y = 8 consistent or inconsistent?
6. Find k, if the pair of equations kx - 4y = 8 and 9x - 12y = 16 has no solution?
, 7. In ∆ABC, a line is drawn intersecting AB at D and AC at E such that DE ll EC. Find AD,
if DB = 7.2 cm, AE = 1.8 cm and EC = 5.4 cm.
8. The angle of elevation of the top of a tower from a point on the ground, which is 30 m
away from the foot of the tower, is 300. Find the height of the tower.
9. Write the empirical relationship between mean, mode and median.
10. If the length of the shadow of a tower is √3 times its height, find the Sun’s altitude.
11. If the diameter of a semicircular protractor is 14 cm, then find its perimeter.
Or
In a circle of radius 21 cm, an arc subtends an angle of 600 at the centre. Find the length
of the arc.
12. The probability of getting an event E is 0.4. What is the probability of ‘not E’?
Or
What is the probability of sure event?
13. An arc subtends an angle of 900 at the centre of the circle of radius 14 cm. Write the area
of minor sector thus form in terms of 𝜋.
14. Two coins are tossed simultaneously. Find the probability of getting exactly one head.
15. What is the area of the quadrant of a circle whose radius is 7 m?
Section – II
Case study based questions are compulsory. Attempt any four sub parts of each question.
Each sub part carries 1 mark.
16. Case study based - 1
SUBJECT- MATHEMATICS (241)
TIME: 3 Hours M. M.: 80
General instructions:
1. This question paper contains two parts A and B.
2. Both part A and part B have internal choices.
Part – A:
1. It consists three sections- I and II.
2. Section I has 16 questions of 1 mark each. Internal choices are provided in 5 questions.
3. Section II has 4 questions on case study. Each case study has 5 case-based sub-parts.
An examinee is to attempt any 4 out of 5 sub-parts.
Part – B:
1. Question No. 21 to 26 are very short answer type questions of 2 marks each.
2. Question No. 27 to 33 are short answer type questions of 3 marks each.
3. Question No. 34 to 36 are long answer type questions of 5 marks each.
4. Internal choices are provided in 2 questions of 2 marks, 2 questions of 3 marks and 1
question of 5 marks.
Part – A
Section – I
Section I has 16 questions of 1 mark each. Internal choices are provided in 5 questions.
1. Express 196 as the product of its primes.
Or
Find LCM of numbers whose prime factorization are expressed as 3x52 and 32x72.
2.
3. Given that HCF (91, 26) = 13, find LCM (91, 26).
4. Write a quadratic polynomial, sum and product of whose zeroes are ¼ and – 1
respectively.
5. Find the solution of the equations x – y = 2 and x + y = 4.
Or
Is the pair of equations x + 3y = 17 and 2x + 6y = 8 consistent or inconsistent?
6. Find k, if the pair of equations kx - 4y = 8 and 9x - 12y = 16 has no solution?
, 7. In ∆ABC, a line is drawn intersecting AB at D and AC at E such that DE ll EC. Find AD,
if DB = 7.2 cm, AE = 1.8 cm and EC = 5.4 cm.
8. The angle of elevation of the top of a tower from a point on the ground, which is 30 m
away from the foot of the tower, is 300. Find the height of the tower.
9. Write the empirical relationship between mean, mode and median.
10. If the length of the shadow of a tower is √3 times its height, find the Sun’s altitude.
11. If the diameter of a semicircular protractor is 14 cm, then find its perimeter.
Or
In a circle of radius 21 cm, an arc subtends an angle of 600 at the centre. Find the length
of the arc.
12. The probability of getting an event E is 0.4. What is the probability of ‘not E’?
Or
What is the probability of sure event?
13. An arc subtends an angle of 900 at the centre of the circle of radius 14 cm. Write the area
of minor sector thus form in terms of 𝜋.
14. Two coins are tossed simultaneously. Find the probability of getting exactly one head.
15. What is the area of the quadrant of a circle whose radius is 7 m?
Section – II
Case study based questions are compulsory. Attempt any four sub parts of each question.
Each sub part carries 1 mark.
16. Case study based - 1
