CBSE Class 10 Maths Solved Question Paper 2020

About this paper

This is the CBSE Class 10 Mathematics (Standard) theory paper, code 30/4/1 (Series JBB/4, Set 1), from the 2020 board examination, printed in both Hindi and English. It carries 80 marks over three hours plus 15 minutes of reading time and has 40 compulsory questions in four sections. Section A has twenty one-mark items: ten multiple-choice questions, five fill-in-the-blanks and five very short answers. Internal choices are given in two one-mark, two two-mark, three three-mark and three four-mark questions, and calculators are not allowed. Section B includes a case-based probability question on a housing society's tree plantation drive. This copy has the questions only, without answers.

Exam

CBSE Class 10

Subject

Mathematics

Year

2020

Paper code

30/4/1

Maximum marks

80

Time allowed

3 hours + 15 min reading

Questions

40

Pages

23

Answers included

No, questions only

Paper pattern

• Section A

  20 marks

  Questions 1–20, one mark each: 10 multiple-choice, 5 fill-in-the-blanks and 5 very short answers; internal choice in two

• Section B

  12 marks

  Questions 21–26, two marks each, including a case-based question; internal choice in two

• Section C

  24 marks

  Questions 27–34, three marks each; internal choice in three

• Section D

  24 marks

  Questions 35–40, four marks each; internal choice in three

Topics covered

• Real numbers
• Polynomials
• Pair of linear equations
• Quadratic equations
• Arithmetic progressions
• Triangles and similarity
• Coordinate geometry
• Trigonometry and heights and distances
• Circles and constructions
• Areas related to circles
• Surface areas and volumes
• Statistics and probability

Questions from this paper

1. Given that HCF (135, 225) = 45, find LCM (135, 225).
2. The perimeters of two similar triangles are 30 cm and 20 cm respectively. If one side of the first triangle is 9 cm long, find the length of the corresponding side of the second triangle.
3. The sum of the first 30 terms of an A.P. is 1920. If the fourth term is 18, find its 11th term.
4. Taxi charges in a city are a fixed charge plus a charge per km. A 10 km journey costs ₹75 and a 15 km journey costs ₹110. Find the fixed charge and the charge per km, and hence the charge for 35 km.
5. In a flight of 600 km, an aircraft was slowed down by bad weather. Its average speed decreased by 200 km/h and the flight time increased by 30 minutes. Find the original average speed.
6. A bucket open at the top has top and bottom radii of 40 cm and 20 cm. Find its volume if its depth is 21 cm, and the area of tin sheet needed to make it.