CBSE Class 10 Maths Solved Question Paper 2022

About this paper

This is the CBSE Class 10 Mathematics (Standard) theory paper, Q.P. code 30/2/3 (Series PPQQC/2, Set 3), from the 2022 examination, when the board exam was split into two terms; this paper carries 40 marks for two hours plus 15 minutes of reading time. It has 14 compulsory questions in three sections: six two-mark, four three-mark and four four-mark questions, with internal choices in four of them. Calculators are not allowed. The questions cover arithmetic progressions, quadratic equations, circles and tangents, a tangent construction, statistics, heights and distances, and surface areas and volumes. Section C ends with two case studies, one on a kite festival and one on the canvas needed for a circus tent. This copy has the English pages only, with no answers.

Exam

CBSE Class 10

Subject

Mathematics

Year

2022

Paper code

30/2/3

Maximum marks

40

Time allowed

2 hours + 15 min reading

Questions

14

Pages

6

Answers included

No, questions only

Paper pattern

• Section A

  12 marks

  Questions 1–6, two marks each; internal choice in two

• Section B

  12 marks

  Questions 7–10, three marks each; internal choice in one

• Section C

  16 marks

  Questions 11–14, four marks each, including two case studies; internal choice in one

Topics covered

• Arithmetic progressions
• Quadratic equations
• Circles and tangents
• Constructions
• Statistics: mean, median and mode
• Heights and distances
• Surface areas and volumes

Questions from this paper

1. Solve the quadratic equation x² + 2√2x − 6 = 0 for x.
2. Find the sum of the first 20 terms of an A.P. whose nth term is given as aₙ = 5 − 2n.
3. A solid metal cuboid of dimensions 11 cm × 7 cm × 7 cm is melted to form n solid spheres of radius 7/2 cm each. Find the value of n.
4. From a point on a bridge across a river, the angles of depression of the banks on opposite sides are 30° and 45°. If the bridge is 8 m above the banks, find the width of the river.
5. Construct a pair of tangents to a circle of radius 4 cm from a point P outside the circle at a distance of 6 cm from the centre.
6. Prove that a parallelogram circumscribing a circle is a rhombus.