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Test (elaborations) Mathematics Xam idea Mathematics Complete Course Book | Class 8 | Includes CBSE Question Bank and NCERT Exemplar (Solved) | NEP | Examination $7.99
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Test (elaborations) Mathematics Xam idea Mathematics Complete Course Book | Class 8 | Includes CBSE Question Bank and NCERT Exemplar (Solved) | NEP | Examination
Test (elaborations) Mathematics Xam idea Mathematics Complete Course Book | Class 8 | Includes CBSE Question Bank and NCERT Exemplar (Solved) | NEP | Examination
Sample Paper 08
Class - 10th Exam - 2024 - 25
Mathematics - Standard
Time : 3 Hours Max. Marks : 80
General Instructions :
1. This question paper contains 38 questions.
2. This Question Paper is divided into 5 Sections A, B, C, D and E.
3. In Section A, Questions no. 1-18 are multiple choice questions (MCQs) and questions no. 19 and 20 are
Assertion - Reason based questions of 1 mark each.
4. In Section B, Questions no. 21-25 are very short answer (VSA) type questions, carrying 02 marks each.
5. In Section C, Questions no. 26-31 are short answer (SA) type questions, carrying 03 marks each.
6. In Section D, Questions no. 32-35 are long answer (LA) type questions, carrying 05 marks each.
7. In Section E, Questions no. 36-38 are case study based questions carrying 4 marks each with sub parts
of the values of 1, 1 and 2 marks each respectively.
8. All Questions are compulsory. However, an internal choice in 2 Question of Section B, 2 Questions of
Section C and 2 Questions of Section D has been provided. An internal choice has been provided in all
the 2 marks questions of Section E.
9. Draw neat and clean figures wherever required.
10. Take π = 227 wherever required if not stated.
11. Use of calculators is not allowed.
Section - A
Section A consists of 20 questions of 1 mark each.
1. If sin θ = a , then cos θ is equal to
b
(a) b (b) b
b2 - a2 a
(c) b2 - a2 (d) a
b b2 - a2
2. If one zero of a quadratic polynomial (kx2 + 3x + k) is 2, then the value of k is
(a) 5 (b) - 5
6 6
(c) 6 (d) - 6
5 5
3. Two concentric circles are of radii 10 cm and 8 cm, then the length of the chord of the larger circle which
touches the smaller circle is
(a) 6 cm (b) 12 cm
(c) 18 cm (d) 9 cm
4. Consider the data:
Class 65-85 85-105 105-125 125-145 145-165 165-185 185-205
Frequency 4 5 13 20 14 7 4
The difference of the upper limit of the median class and the lower limit of the modal class is
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, Page 2 Sample Paper 08 CBSE Maths Class 10
(a) 0 (b) 19
(c) 20 (d) 38
5. If the angle of depression of an object from a 75 m high tower is 30c, then what is the distance of the
object from the tower?
(a) 75 2 m (b) 75 3 m
(c) 75 m (d) 75 2.5 m
6. In Figure, in TABC , DE z BC such that AD = 2.4 cm, AB = 3.2 cm and AC = 8 cm, then what is the
length of AE ?
(a) 4 cm (b) 6 cm
(c) 8 cm (d) 3 cm
7. An AP starts with a positive fraction and every alternate term is an integer. If the sum of the first 11
terms is 33, then the fourth term is
(a) 2 (b) 3
(c) 5 (d) 6
8. If the sum of the zeroes of the quadratic polynomial kx2 + 2x + 3k is equal to their product, then k equals
(a) 1 (b) - 1
3 3
(c) 2 (d) - 2
3 3
9. TABC and TBDE are two equilateral triangle such that D is the mid-point of BC . Ratio of the areas
of triangles ABC and BDE is ................. .
(a) 1 : 4 (b) 4 : 1
(c) 1 : 3 (d) 3 : 1
10. An observer, 1.5 m tall is 20.5 away from a tower 22 m high, then the angle of elevation of the top of the
tower from the eye of observer is
(a) 30c (b) 45c
(c) 60c (d) 90c
11. Volumes of two spheres are in the ratio 64 : 27. The the ratio of their surface areas is
(a) 3 : 4 (b) 4 : 3
(c) 9 : 16 (d) 16 : 9
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