CBSE 2017 Mathematics Question Paper for Class 10

About this paper

This is the CBSE Class 10 Mathematics Summative Assessment II question paper, code 30/2 (Series HRK, Set 2), from the 2017 examination. It carries 90 marks over three hours plus 15 minutes of reading time and has 31 compulsory questions in four sections: four one-mark, six two-mark, ten three-mark and eleven four-mark questions. Calculators are not allowed. The questions cover arithmetic progressions, quadratic equations, circles and tangents, a triangle construction, heights and distances, probability, coordinate geometry, areas related to circles, and surface areas and volumes. Section D includes a rain-water harvesting problem that also asks for your views on water conservation. This copy has the questions only, without answers.

Exam

CBSE Class 10

Subject

Mathematics

Year

2017

Paper code

30/2

Maximum marks

90

Time allowed

3 hours + 15 min reading

Questions

31

Pages

11

Answers included

No, questions only

Paper pattern

• Section A

  4 marks

  Questions 1–4, one mark each

• Section B

  12 marks

  Questions 5–10, two marks each

• Section C

  30 marks

  Questions 11–20, three marks each

• Section D

  44 marks

  Questions 21–31, four marks each, including a question on water conservation

Topics covered

• Arithmetic progressions
• Quadratic equations
• Circles and tangents
• Constructions
• Heights and distances
• Probability
• Coordinate geometry
• Areas related to circles
• Surface areas and volumes

Questions from this paper

1. The probability of selecting a rotten apple at random from a heap of 900 apples is 0.18. What is the number of rotten apples in the heap?
2. Which term of the A.P. 8, 14, 20, 26, … will be 72 more than its 41st term?
3. A solid iron cuboid of dimensions 4.4 m × 2.6 m × 1.0 m is melted and recast into a hollow cylindrical pipe of 30 cm inner radius and thickness 5 cm. Find the length of the pipe.
4. A bag contains 15 white and some black balls. If the probability of drawing a black ball is thrice that of drawing a white ball, find the number of black balls in the bag.
5. A train covers a distance of 300 km at a uniform speed. If the speed is increased by 5 km/h, it takes 2 hours less for the journey. Find the original speed of the train.
6. In a rain-water harvesting system, rain-water from a roof of 22 m × 20 m drains into a cylindrical tank with base diameter 2 m and height 3.5 m. If the tank is full, find the rainfall in cm.