CBSE 2019 Maths Question Paper for Class 10
CBSE
•Mathematics•2019CBSE Class 10 Mathematics question paper from the 2019 board exam (code 30/3/3, Set 3): 30 questions for 80 marks in 3 hours, questions only, no solutions.
About this paper
This is the CBSE Class 10 Mathematics question paper, code 30/3/3 (Series JMS/3, Set 3), from the 2019 board examination, printed in both Hindi and English. It carries 80 marks over three hours plus 15 minutes of reading time and has 30 compulsory questions in four sections: six one-mark, six two-mark, ten three-mark and eight four-mark questions. Internal choices are given in two one-mark, two two-mark, four three-mark and three four-mark questions, and calculators are not allowed. The paper covers the full-year syllabus, with a mean from an absentee record, a 'more than' ogive, a graphical solution of linear equations, a triangle construction and a cube-with-hemisphere decorative block. This copy has the questions only, without answers.
- Exam
- CBSE Class 10
- Subject
- Mathematics
- Year
- 2019
- Paper code
- 30/3/3
- Maximum marks
- 80
- Time allowed
- 3 hours + 15 min reading
- Questions
- 30
- Pages
- 11
- Answers included
- No, questions only
Paper pattern
| Section | What it contains | Marks |
|---|---|---|
| Section A | Questions 1–6, one mark each; internal choice in two | 6 |
| Section B | Questions 7–12, two marks each; internal choice in two | 12 |
| Section C | Questions 13–22, three marks each; internal choice in four | 30 |
| Section D | Questions 23–30, four marks each; internal choice in three | 32 |
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
- Write the discriminant of the quadratic equation (x + 5)² = 2(5x − 3).
- If the HCF of 65 and 117 is expressible in the form 65n − 117, find the value of n.
- Using the method of completing the square, show that the equation x² − 8x + 18 = 0 has no solution.
- Draw the graphs of the equations x − y + 1 = 0 and 3x + 2y − 12 = 0, and use them to find the values of x and y that satisfy both equations.
- The shadow of a tower standing on level ground is found to be 40 m longer when the Sun's altitude is 30° than when it was 60°. Find the height of the tower.
- A motorboat whose speed in still water is 9 km/h goes 15 km downstream and comes back to the same spot in a total time of 3 hours 45 minutes. Find the speed of the stream.
What's next
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