CBSE Class 10 Mathematics Basic Sample Paper 28 2027 Solutions

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page 378 Cbse Class 10th Mathematics - Basic SP Sample Paper 28 Class - 10th Exam - 2026 - 27 Mathematics - Basic Time : 3 Hours Max. Marks : 80 General Instructions : Read the following instructions carefully and follow them: 1. This question paper contains 38 questions. 2. This Question Paper is…
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SAMPLE PAPER 28 (a) 21 cm (b) 23 cm (c) 25 cm (d) 19 cm AAns :  [Board Term-2 OD 2012] Volume of the sphere = Volume of the cuboid r 3 4 3 π 49 33 24 # # = cm 38808 3 = r 4 7 22 3 # 38808 3 # = r3 4 22 38808 3 7 # # # = 441 21 # = r3 21 21 21 # # = r cm 21 = Thus (a) is correct option. 3. If the…
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page 380 Cbse Class 10th Mathematics - Basic SP Thus (a) is correct option. 6. A fair die is thrown once. The probability of getting a composite number less than 5 is (a) 3 1 (b) 6 1 ] (c) 3 2 (d) 0 AAns :  [Board Term-2 SQP 2011] The outcomes are 1, 2, 3, 4, 5, 6. Out of these, 4 is the only…
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SAMPLE PAPER 28 Thus (b) is correct option. 11. The P A ^ h denotes the probability of an event A , then (a) P A 0 < ^ h (b) P A 1 > ^ h (c) P A 0 1 # # ^ h (d) P A 1 1 # # - ^ h AAns :  Probability of an event always lies between 0 and 1. Thus (c) is correct option. 12. If cosA 5 4 = , then the…
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page 382 Cbse Class 10th Mathematics - Basic SP 15. A student noted the number of cars passing through a spot on a road for 100 periods each of 3 min and summarised in the table give below. Number of cars Frequency 0-10 7 10-20 14 20-30 13 30-40 12 40-50 20 50-60 11 60-70 15 70-80 08 Then, the mode…
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SAMPLE PAPER 28 Thus OP 25 = cm Since OR OT = because of radii of circle, PR OP OR = + 25 7 = + 32 = cm Thus (c) is correct option. 18. In the given figure, a circle touches all the four sides of quadrilateral ABCD with cm AB 6 = , cm BC 7 = and cm CD 4 = , then length of AD is (a) 3 cm (b) 4 cm…
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page 384 Cbse Class 10th Mathematics - Basic SP AAns :  [Board Term-1 2015] We have y 5 13 65 # = = and x 3 195 585 # = = 22. In the figure of , ABC T the points D and E are on the sides , CA CB respectively such that || , DE AB , , AD x DC x BE x 2 3 2 1 = = + = − and . CE x = Then, find .x O In…
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SAMPLE PAPER 28 O Find the sum of the lower limit of the median class and the upper limit of the modal class : Classes 10- 20 20- 30 30- 40 40- 50 50- 60 60- 70 Frequency 1 3 5 9 7 3 AAns :  We prepare following cumulative frequency table to find median class. Class 10- 20 20- 30 30- 40 40- 50 50-…
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page 386 Cbse Class 10th Mathematics - Basic SP , 1000 500 1 500 = + = Thus median expenditure is Rs. 1500 per week. 27. The 17th term of an AP is 5 more than twice its 8th term. If 11th term of AP is 43, then find its nth term. AAns :  [Board 2020 OD Basic] Let a be the first term and d be the…
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SAMPLE PAPER 28 8 6 2 2 = + 10 = units ...(2) From equation (1) and (2) we get EF BC 2 1 = Hence proved. O Find the ratio in which the line x y 2 3 5 0 + − = divides the line segment joining the points ,8 9 - ^ h and ,2 1 ^ h. Also find the co-ordinates of the point of division. AAns :  [Board…
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page 388 Cbse Class 10th Mathematics - Basic SP x 3 7 11 y 3 0 -2 Plotting the above points and drawing lines joining them, we get the following graph. Clearly, the two lines intersect at point ,3 3 ^ h. (a) These lines intersect each other at point ,3 3 ^ h. Hence x 3 = and y 3 = (b) The vertices…
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SAMPLE PAPER 28 rh r rl 2 2 π π π + + r 7 2 2 π = + + 6 @ m2 2 9 2 π = + 6 @ m2 2 9 2 π = + 6 @ m2 34. In Figure, PQ is a chord of length 8 cm of a circle of radius 5 cm and centre O. The tangents at P and Q intersect at point T . Find the length of TP . AAns :  [Board 2019 Delhi Standard] We…
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page 390 Cbse Class 10th Mathematics - Basic SP Substituting this value of x in (1) we have h 3 60 = . 20 3 34 64 = = m Hence, height of the pole AB and CD is . 34 64 m Distance of point P from pole AB is 20 m. Distance of point P from pole CD is 60 m. O Two post are k metre apart and the height of…
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SAMPLE PAPER 28 (ii) At, x 4 = , we have ( ) P 2 ( ) 4 22 4 40 32 2 # =− + − = At, x 25 = , we have ( ) P 5 ( ) 25 22 25 40 115 2 # =− + − =− (iii) We have ( ) P x x x 22 40 2 =− + − Rearranging the profit equation we have ( ) P x ( ) x x 22 121 81 2 =− − + − ( ) x 11 81 2 =− − + From above…
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page 392 Cbse Class 10th Mathematics - Basic SP (i) What is the height of the section B ? (ii) What is the height of the section A ? (iii) What is the length of the wire structure from the point O to the top of section A ? O What is the length of the wire structure from the point O to the top of…
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