CBSE Class 10 Mathematics Basic Sample Paper 19 2027 Solutions

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page 256 Cbse Class 10th Mathematics - Basic SP Sample Paper 19 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 19 Thus (d) is correct option. 4. 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 AAns :  Let O be the centre of the concentric circles of radii cm 10 and 8…
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page 258 Cbse Class 10th Mathematics - Basic SP 8. 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 :  The outcomes are 1, 2, 3, 4, 5, 6. Out of these, 4 is the only composite number which is less than 5. ( ) n S 6 = ( ) n E…
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SAMPLE PAPER 19 13. The length of a string between a kite and a point on the ground is 85 m. If the string makes an angle θ with level ground such that tan 8 15 θ = , then the height of kite is (a) 75 m (b) 78.05 m (c) 226 m (d) None of these AAns :  [Board 2019 Delhi] Length of the string of the…
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page 260 Cbse Class 10th Mathematics - Basic SP Now, last four observations are increased by 2, but median is 5th observation, which is remaining unchanged. Hence there will be no change in median. Thus (d) is correct option. 17. Mode of the following grouped frequency distribution is Class…
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SAMPLE PAPER 19 (a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A). (b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A). (c) Assertion (A) is true but reason (R) is false. (d) Assertion…
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page 262 Cbse Class 10th Mathematics - Basic SP As per given condition we have drawn the figure below. In AOB T and , COD T AB || CD, Thus due to alternate angles OAB + DCO + = and OBA + ODC + = By AA similarity we have AOB T ~ COD T For corresponding sides of similar triangles we have CO AO DO BO…
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SAMPLE PAPER 19 Section - C Section C consists of 6 questions of 3 marks each. 26. A horse is tethered to one corner of a rectangular field of dimensions m m 70 52 # , by a rope of length 21 m. How much area of the field can it graze? AAns :  As per information given in question we have drawn the…
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page 264 Cbse Class 10th Mathematics - Basic SP 29. If sin sin cos 1 3 2θ θ θ + = , prove that tan 1 θ = or ½. AAns :  [Board 2020 OD Standard] We have, sin 1 2θ + sin cos 3 θ θ = Dividing by sin2θ on both sides, we get sin sin sin 1 2 2 2 θ θ θ + sin sin cos 3 2θ θ θ = sin 1 1 2θ + cot 3 θ =…
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SAMPLE PAPER 19 y2 2 6 8 1 = − + = For F , x3 2 4 6 5 = + = y3 2 2 8 3 = − + = The co-ordinates of the mid-points of , AB BC and AC are , D 3 4 - ^ h, , E 2 1 ^ h and , F 5 3 ^ h respectively. Section - D Section D consists of 4 questions of 5 marks each. 32. A hemispherical depression is cut from…
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page 266 Cbse Class 10th Mathematics - Basic SP Hence, the coordinates of the vertices of a triangle ABC are ( , ) A 1 3 , ( , ) B 2 5 and ( , ) C 4 2 - . O Draw the graphs of the equations x y 1 0 − + = and . x y 3 2 12 0 + − = Determine the co-ordinates of the vertices of the triangle formed by…
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SAMPLE PAPER 19 O As observed from the top of a 100 m high light house from the sea-level, the angles of depression of two ships are 30c and 45c. If one ship is exactly behind the other on the same side of the light house, find the distance between the two ships [Use . 3 1 732 = ] AAns :  [Board…
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page 268 Cbse Class 10th Mathematics - Basic SP O The maximum profit is Rs. 12012.5. 37. Tania is very intelligent in maths. She always try to relate the concept of maths in daily life. One day she plans to cross a river and want to know how far it is to the other side. She takes measurements on…
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SAMPLE PAPER 19 The 28 dominos are placed in a bag, shuffled and then one domino is randomly drawn. Give the following answer. (i) What is the probability the total number of dots on the domino is three or less ? (ii) What is the probability the total number of dots on the domino is greater than…
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