CBSE Class 10 Mathematics Basic Sample Paper 26 2027 Solutions

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SAMPLE PAPER 26 Sample Paper 26 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 352 Cbse Class 10th Mathematics - Basic SP AAns :  [Board 2020 Delhi Standard] Let α and β be zeros of the given polynomial ax bx c 2 + + . α β + a b =− and αβ a c = Let 1 α and 1 β be the zeros of new polynomial then we have Sum of zeros, s 1 1 α β = + αβ β α = + a c a b = − c b = − Product…
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SAMPLE PAPER 26 8. 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 (c) 5 cm (d) 6 cm AAns :  Four sides of a quadrilateral ABCD are tangent to a circle. AB CD + BC AD = + 6 4 + AD 7 = +…
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page 354 Cbse Class 10th Mathematics - Basic SP 13. The perimeters of two similar triangles are 25 cm and 15 cm respectively. If one side of the first triangle is 9 cm, then the corresponding side of second triangle is ................... . (a) 4.2 cm (b) 5.4 cm (c) 20 cm (d) 6 cm AAns :  Ratio of…
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SAMPLE PAPER 26 Thus (a) is correct option. 19. Assertion : In a circle of radius 6 cm, the angle of a sector 60c. Then the area of the sector is cm 18 7 6 2. Reason : Area of the circle with radius r is r2 π . (a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation…
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page 356 Cbse Class 10th Mathematics - Basic SP We complete the given factor tree writing variable y and z as following. We have z 7 161 23 = = y 7 161 1127 # = = Composite number, x 2 3381 6762 # = = 23. If one zero of the polynomial x x 2 3 2 λ + + is 2 1 , find the value of λ and the other zero.…
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SAMPLE PAPER 26 Now BD BC 2 2 24 12 = = = cm AB 24 = cm AD AB BD 2 2 = − 24 12 2 2 = − ^ ^ h h 576 144 = − 432 = 12 3 = Thus AD 12 3 = cm. 25. If the centre of a circle is (3, 5) and end points of a diameter are (4, 7) and (2, y), what is the value of y ? AAns :  [Board 2020 Delhi Basic] Since,…
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page 358 Cbse Class 10th Mathematics - Basic SP 29. Isha is 10 years old girl. On the result day, Isha and her father Suresh were very happy as she got first position in the class. While coming back to their home, Isha asked for a treat from her father as a reward for her success. They went to a…
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SAMPLE PAPER 26 We prepare following cumulative frequency table to find median class. Expenditure f (families) c.f. 0-1000 150 150 1000-2000 200 350 2000-3000 75 425 3000-4000 60 485 4000-5000 15 500 f 500 = / We have N 500 = ; N 2 250 = Cumulative frequency just greater than N 2 is 350 and the…
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page 360 Cbse Class 10th Mathematics - Basic SP 7 22820 3260 = = m2 Hence, area of track is 3260 m2. 33. Find the value of p for which the quadratic equation p x p x p 1 6 1 3 9 0 2 + − + + + = ^ ^ ^ h h h , p 1 !- has equal roots. Hence find the roots of the equation. O If the price of a book is…
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SAMPLE PAPER 26 AAns :  [Board Term-2 Delhi 2012, 2014, OD Compt. 2017] Since length of tangents from an external point to a circle are equal, At A, AP AR = 6 = cm (1) At B, ,BP BQ 8 = = cm (2) At C , CR CQ x = = (3) Perimeter of ABC T , p AP PB BQ QC CR RA = + + + + + x x 6 8 8 6 = + + + + + x 28…
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page 362 Cbse Class 10th Mathematics - Basic SP Section - E Section E consists of 3 case study based questions of 4 marks each. 36. It takes 5 toothpicks to build the top trapezoid shown at below. You need 9 toothpicks to build 2 adjoined trapezoids and 13 toothpicks for 3 trapezoids. (i) If 1000…
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SAMPLE PAPER 26 Let E1 be the event that the family has two or three children. Favourable outcome, ( ) n E1 19 7 26 = + = Probability, ( ) P E1 ( ) ( ) n S n E1 = . 100 26 0 26 = = (ii) Family has more than one child, Let E2 be the event that the family has more than one child. Favourable outcome,…
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