CBSE Class 10 Mathematics Basic Sample Paper 14 2027 Solutions

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SAMPLE PAPER 14 Sample Paper 14 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 divided into 5 Sections A, B,…
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page 188 Cbse Class 10th Mathematics - Basic SP 3. If the mean of the observation , , , x x x x 3 5 7 + + + and x 10 + is 9, the mean of the last three observation is (a) 10 3 1 (b) 10 3 2 (c) 11 3 1 (d) 11 3 2 AAns :  Mean . Total no of observation Sum of all the observations = 9 x x x x x 5 3 5…
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SAMPLE PAPER 14 Thus, x x 2 3 2 0 2 4 9 − + = has real and equal roots. Thus (b) is correct option. 7. The quadratic equation x x 3 4 3 4 2 + + has (a) two distinct real roots (b) two equal real roots (c) no real roots (d) more than 2 real roots AAns :  We have x x 3 4 3 4 2 + + 0 = Here, a 3 = ,…
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page 190 Cbse Class 10th Mathematics - Basic SP 12. In the given figure, two tangents AB and AC are drawn to a circle with centre O such that BAC 120 + = c, then OA is equal to that (a) AB 2 (b) AB 3 (c) AB 4 (d) AB 5 AAns :  In OAB T and OAC T , we have, OBA + OCA + = 90 = c OA OA = [common] and…
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SAMPLE PAPER 14 We have AB m 6 = , CD 11 = m and AC 12 = m DE CD CE = − m 11 6 = − ^ h 5 = m In right angled, BED T , BD2 BE DE 2 2 = + 12 5 2 2 = + 169 = BD m 169 = 13 = m Hence, distance between their tops is 13 m. Thus (c) is correct option. 17. A 6 m high tree cast a 4 m long shadow. At the…
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page 192 Cbse Class 10th Mathematics - Basic SP (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 (A) is false but reason (R) is true. AAns :  From an external point the…
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SAMPLE PAPER 14 24. In the given figure, G is the mid-point of the side PQ of PQR T and || . GH QR Prove that H is the mid-point of the side PR or the triangle . PQR O 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 =…
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page 194 Cbse Class 10th Mathematics - Basic SP Section - C Section C consists of 6 questions of 3 marks each. 26. Evaluate : cot tan tan cosec tan 45 3 30 60 30 45 º º º º º 2 2 2 + + − AAns :  cot tan tan cosec tan 45 3 30 60 30 45 º º º º º 2 2 2 + + − 1 3 3 2 1 × 2 3 1 2 2 = + + − ^ _ ^ h i h…
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SAMPLE PAPER 14 V r h 3 1 2 π = . m 3 1 7 22 12 12 3 5 3 # # # # = m 528 3 = Slanted height, l ( . ) 12 3 5 2 2 = + . m 12 5 = Area of canvas cloth required, rl π . 7 22 12 12 5 # # = . m 471 4 2 = 29. Write the smallest number which is divisible by both 306 and 657. AAns :  The smallest number…
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page 196 Cbse Class 10th Mathematics - Basic SP Hence, mean of daily expenditure on food is <211. 31. ABC T and BDE T are two equilateral triangle such that D is the mid-point of BC . Ratio of the areas of triangles ABC and BDE is ................. . AAns :  [Board 2020 Delhi Standard] From the…
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SAMPLE PAPER 14 or, x 2 1 =− Hence, roots are ,1 2 1 - - . O Let x be the original duration of tour in days. Amount with the person is < 4200. Daily expenses, R1 x 4200 = If tour extended for 3 days, total number of days will be ( ) x 3 + . Now daily expenses, R2 ( ) x 3 4200 = + According to…
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page 198 Cbse Class 10th Mathematics - Basic SP OE OF = OEA + OFA 90c + = = OA OA = (Common side) Thus AEO T AFO T , (SAS congruency) 7 + 8 + = Similarly, 1 + 2 + = 3 + 4 + = 5 + 6 + = Since angle around a point is 360c, 1 2 3 4 5 6 7 8 360c + + + + + + + + + + + + + + + = 2 1 2 8 2 4 2 5 + + + + +…
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SAMPLE PAPER 14 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 three ? (iii) What is the probability the total number of dots on the domino does not have a…
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page 200 Cbse Class 10th Mathematics - Basic SP Now tan45c h 324 = 1 h 324 = h 324 = m Let d be the initial distance of car from Eiffel tower. At this point A the angle of depression of car from top of tower is 30c. After 15 minute car reaches at point B. At this point the angle of depression of…
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