CBSE Class 10 Mathematics Basic Sample Paper 1 2027 Solutions

Download Question PaperAll Mathematics Basic papers
Nodia Sample Paper Books 2026Chapter-wise questions, solved papers and more for CBSE board exams.Buy on Amazon
SAMPLE PAPER 01 Sample Paper 01 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,…
Page 1 of 14
Free PDFs for every subjectDownload more free study material for CBSE and competitive exams.Download Free
page 6 Cbse Class 10th Mathematics - Basic SP Now, AOP BOP + + + 180 = c AOP 115 + + c 180 = c AOP + 180 115 = − c c ^ h 65 = c From angle sum property of triangle we have OAP AOP APO + + + + + 180 = c APO 90 65 + + + c c 180 = c APO 155 + + c 180 = c APO + 180 155 = − c c 25 = c Thus (a) is…
Page 2 of 14
Nodia Sample Paper Books 2026Chapter-wise questions, solved papers and more for CBSE board exams.Buy on Amazon
SAMPLE PAPER 01 AAns :  We know that, ui h x a i = − So, the option (c) is correct, which is the required answer. Thus (c) is correct option. 10. The distance of the point ( , ) P 3 4 - - from the x -axis (in units) is (a) 3 (b) 3 - (c) 4 (d) 5 AAns :  Point ( , ) P 3 4 - - is 4 units from the x…
Page 3 of 14
Free PDFs for every subjectDownload more free study material for CBSE and competitive exams.Download Free
page 8 Cbse Class 10th Mathematics - Basic SP Thus (a) is correct option. 15. From the top of a 7 m high building the angle of elevation of the top of a cable tower is 60c and the angle of depression of its foot is 45c, then the height of the tower is (a) 14.124 m (b) 17.124 m (c) 19.124 m (d)…
Page 4 of 14
Nodia Sample Paper Books 2026Chapter-wise questions, solved papers and more for CBSE board exams.Buy on Amazon
SAMPLE PAPER 01 In ABC 3 , we have sin30c AC AB = 2 1 AC AB = 2 1 AB 20 = & AB m 10 = Hence, the height of the pole is 10 m. Thus (c) is correct option. 18. If triangle ABC is similar to triangle DEF such that AB DE 2 = and BC 8 = cm then find . EF (a) 16 cm (b) 14 cm (c) 12 cm (d) 15 cm AAns : …
Page 5 of 14
Free PDFs for every subjectDownload more free study material for CBSE and competitive exams.Download Free
page 10 Cbse Class 10th Mathematics - Basic SP Section - B Section B consists of 5 questions of 2 marks each. 21. In figure, two tangents RQ and RP are drawn from an external point R to the circle with centre O. If PRQ 120c + = , then prove that OR PR RQ = + . AAns :  We redraw the given figure by…
Page 6 of 14
Nodia Sample Paper Books 2026Chapter-wise questions, solved papers and more for CBSE board exams.Buy on Amazon
SAMPLE PAPER 01 By converse of BPT, DE BC < Due to corresponding angles we have ADE + ABC + = and AED + ACB + = Given ADE + AED + = Thus ABC + ACB + = Therefore BAC is an isosceles triangle. 24. Prove that 3 5 + is an irrational number. AAns :  Assume that 3 5 + is a rational number, then we have…
Page 7 of 14
Free PDFs for every subjectDownload more free study material for CBSE and competitive exams.Download Free
page 12 Cbse Class 10th Mathematics - Basic SP 28. Sides of a right triangular field are 25 m, 24 m and 7 m. At the three corners of the field, a cow, a buffalo and a horse are tied separately with ropes of 3.5 m each to graze in the field. Find the area of the field that cannot be grazed by these…
Page 8 of 14
Nodia Sample Paper Books 2026Chapter-wise questions, solved papers and more for CBSE board exams.Buy on Amazon
SAMPLE PAPER 01 n 1 - b a c a = − − n b a c a 1 = − − + b a c a b a = − − + − n b a b c a 2 = − + − Now sum of all terms Sn [ ] n A A 2 n = + ( ) ( )[ ] b a b c a a c 2 2 = − + − + ( ) ( )( ) b a a c b c a 2 2 = − + + − Hence Proved 30. The mean of the following distribution is 48 and sum of all…
Page 9 of 14
Free PDFs for every subjectDownload more free study material for CBSE and competitive exams.Download Free
page 14 Cbse Class 10th Mathematics - Basic SP y2 2 0 4 2 = + = Thus co-ordinates of Q is , 2 2 5 - ^ h. Section - D Section D consists of 4 questions of 5 marks each. 32. Water is flowing through a cylindrical pipe, of internal diameter 2 cm, into a cylindrical tank of base radius 40 cm, at the…
Page 10 of 14
Nodia Sample Paper Books 2026Chapter-wise questions, solved papers and more for CBSE board exams.Buy on Amazon
SAMPLE PAPER 01 x 2 4 0 y 4 0 8 Plotting the above points and drawing lines joining them, we get the following graph. The two lines intersect each other at point , A 3 2 ^ h . Thus solution of given equations is , x 3 = y 2 = . Again, x y - 1 = intersects y - axis at ,0 1 - ^ h and x y 2 + 8 = y -…
Page 11 of 14
Free PDFs for every subjectDownload more free study material for CBSE and competitive exams.Download Free
page 16 Cbse Class 10th Mathematics - Basic SP BD 20 + 20 3 = BD 20 3 20 = − ( ) 20 3 1 = − ( . ) 20 1 732 1 = − . 20 0 732 # = . cm 14 64 = Hence, height of the tower is 14.64 m. O The angle of elevation of the top B of a tower AB from a point X on the ground is 60c. At point Y , 40 m vertically…
Page 12 of 14
Nodia Sample Paper Books 2026Chapter-wise questions, solved papers and more for CBSE board exams.Buy on Amazon
SAMPLE PAPER 01 the ABC 3 at a height h 4 from BC . HF h 4 = . (i) What is the length of AH ? (ii) What is the distance of point A from point G ? (iii) What is the distance of point A from point J? O What is the distance GJ ? AAns :  (i) AF h = HF h 4 = AH AF HF = − h h h 4 4 3 = − = (ii) Here AF…
Page 13 of 14
Free PDFs for every subjectDownload more free study material for CBSE and competitive exams.Download Free
page 18 Cbse Class 10th Mathematics - Basic SP 38. Abhinav Bindra is retired sport shooter and currently India’s only individual Olympic gold medalist. His gold in the 10-meter air rifle event at the 2008 Summer Olympics was also India’s first Olympic gold medal since 1980. He is the first Indian…
Page 14 of 14
Nodia Sample Paper Books 2026Chapter-wise questions, solved papers and more for CBSE board exams.Buy on Amazon

More Class 10 Mathematics Basic sample papers · Other subjects

Solutions are available online only at cbse.online