# CBSE Class 10 Maths Question Paper 2016 with Solutions

**CBSE Class 10 Maths Question Paper 2016 with Solutions** - Are you looking for CBSE 10 maths question paper 2016, then you are at the right place. Solving CBSE previous year question papers Class 10 Maths 2016 is an important part of the strategy for the board exam preparation. Students will get to know the exam pattern by referring to CBSE previous year papers and feel more confident to face the exam after solving CBSE class 10 maths question paper 2016. Here, you will get detailed analysis and solutions of CBSE previous year question papers Class 10 Maths 2016 for all the sets. Students should refer to CBSE class 10 maths question paper 2016 with solutions a one month before the exam. **Also, check ****CBSE previous year papers of Class 10 maths with solutions**

**CBSE class 10 maths 2016 question paper set-wise**

### CBSE 10 Class 2016 Paper: 030 set 1 Maths

Question 1)

In fig .1 PQ is a tangent at a point C to a circle with center O . If AB is diameter and

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Question 2)

For what value of k will k+9, 2k-1 and 2k+7 are the consecutive terms of A.P ?

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Question 3)

A ladder leaning against a wall, makes an angle of 60 with the horizontal.

If the foot of the ladder is 2.5 m away from the wall , find the length of the ladder.

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Question 4)

A card is drawn at random from a well-shuffled pack of 52 playing cards.

Find the probability of getting neither a red card nor a queen .

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Question 5)

If -5 is a root of the quadratic equation and the quadratic equation has equal roots, find the value of k.

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Question 6)

Let P and Q be the points of trisection of the line segment joining the point A(2,-2) and B (-7,4) such that P is nearer to A. Find the coordinates of P and Q

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Question 7)

In fig 2 a quadrilateral ABCD is drawn to circumscribe a circle, with center O, in such a way that the sides AB, BC, CD, and DA touch the circle at the points P, Q, R, and S respectively. Prove that AB + CD = BC + DA

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Question 8)

Prove that the points (3,0) (6,4) and (-1,3) are the vertices of a right-angled isosceles triangle

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Question 9)

The fourth term of an AP is Zero . Prove that the 25th term of the AP is three times its 11th term

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Question 10)

In fig 3 from an external point P , two tangents PT and PS are drawn to a circle with centre O and raidus r .

If OP = 2r , show that

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Question 11)

In fig 4 , O is the center of circle such that diameter AB = 13 cm and AC = 12 cm . BC is joined . Find the area of the shaded region

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Question 12)

In fig 5 , a tent is in the shape of a cylinder surmounted by a conical top of the same diameter. If the height and diameter of the cylinder part are 2.1 m and 3 m respectively and the slant height of the conical part is 2.8, find the cost of canvas needed to make the tent if the canvas is available at the rate of 500/sq.meter

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Question 13)

If the point P(x,y) is equidistant from the point A (a-b, a +b ) and B (a-b, a +b ). Prove that bx = ay

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Question 14)

In fig , find the area of the shaded region , enclosed between two concentric circles of radii 7 cm and 14 cm where

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Question 15)

If the ratio of sum of first n terms of two A.P s is (7n+1):(4n+27), find the ratio of their term

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Question 17)

A sphere of diameter 12 cm, is dropped in a right circular cylinder vessel, partly filled with water.

If the sphere is completely submerged in water, the water level in the cylinder vessel rises by cm. Find the diameter of the cylindrical vessel.

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Question 18)

A man standing on the deck of a ship, which is 10 m above water level, observe the angle of elevation of the top of aa hell as 60 degree and the angle of depression of the base of the hill as 30 degree. Find the distance of the hill from the ship and the height of the hill.

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Question 19)

Three different coins are tossed together. Find the probability of getting

1) exactly two heads

2) at least 2 heads

3) at least 2 tails

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Question 20)

Due to heavy floods in a state, thousands were rendered homeless, 50 schools collectively offered to the state governments to provide the place and the canvas for 1500 tents to be fixed by the government and decided to share the whole expenditure equally The lower part of each tent is cylindrical of base radius 2.8m and height 3.5, with the conical upper part of the same base radius but of height 2.1m. If the canvas used to make the tents cost 120 per sq.m, find the amount shared by each school to set up the tents. what value is generated by the above problem?

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Question 21)

Prove that the lengths of the tangents drawn from an external point to a circle are equal

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Question 22)

Draw a circle of radius 4cm. Draw two tangents to the circle inclined at an angle of to each other

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Question 23)

In fig.7 two equal circles , with center O and O' , touch each other at X. OO' produce meets the circle with center O' at A . AC is tangent to the circle with center O , at the point C. O'D is perpendicular to AC. Find the value of

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Question 25)

The angle of elevation of the top Q of aa vertical tower PQ from a point X on the ground 60. From a point Y , 40m vertically above X, the angle of elevation of the top Q of the tower is 45. Find the height of the tower PQ and the distance PX

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Question 26)

The houses in a row are numbered consecutively from 1 to 49. show that there exists a value of X such that sum of numbers of horses proceeding the house numbered X is equal to sum of the numbers of houses following X

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Question 27)

In fig.8 , the vertices of are A (4,6), B(1,5) and C(7,2) . A line segment CE is drawn to intersect the sides AB and AC at

D and E respectively such that . Calculated the area of and compare it with area of

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Question 28)

A number x is selected at random from the numbers 1,2,3 and 4 .Another number y is selected at random from the numbers 1,4,9 and 16. Find the probability that product of x and y is less than 16

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Question 29)

In fig.9 is shown a sector OAP of a circle with center O, containing . AB is perpendicular to the radius OA and meets OP produced at B. Prove that the perimeter of the shaded region is

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Question 30)

A motorboat whose speed is 24 Km/hr in still water takes 1 hour more go 32 km upstream than to return downstream to the same spot. Find the speed of the stream.

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Question 31)

A conical vessel, with base radius 5 cm and height 24cm, is full of water. This water is emptied into a cylinder vessel of base radius 10 cm. Find the height to which the water will rise in the cylinder vessel

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### CBSE 10 Class 2016 Paper: 030 set 2 Maths

Question 2)

The digit of a positive of three digits are in AP and their sum is 15

The number obtained by reversing the digits is 594 less than the original number. Find the number.

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Question 4)

From a pack of 52 playing cards, jacks, queens, and kings of red queen color are removed.

From the remaining, a card is drawn at random. Find the probability that the drawn card is :

1) a black king

2 ) a card of red color

3 ) a card of black colour

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Question 5)

Draw an isosceles in which BC = 5.5 cm and altitude AL = 3 cm .

Then construct another triangle whose sides are 3/4 of the corresponding sides of

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Question 6)

Prove the tangent drawn at any point of a circle is perpendicular to the radius through the point of contact

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Question 7)

As observed from the top of a lighthouse, 100 m high above sea level, the angles of depression of ship, sailing directly towards it , changes from to . Find the distance traveled by ship during the period of observation

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### CBSE 10 Class 2016 Paper: 030 set 3 Maths

Question 2)

There are 100 cards in a bag on which numbers from 1 to 100 are written. A card is taken out of the bag at random. Find the probability that the number on the selected cards (1) is divisible by 9 and is a perfect square (2) is a prime number greater than 80

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Question 3)

Three consecutive natural number are such that the square of the middle number exceeds the difference of the square of the other two by 60. Find the numbers

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Question 4)

The sums of first n terms of three arithmetic progression are respectively. The first term of each A.P. is 1 and their common difference are 1,2,3 respectively. Prove that

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Question 5)

Two pipes running together can fill in minutes. If one pipe takes 5 minutes more than the other to fill the tank separately, find the time in which each pipe would fill the tank separately

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Question 6)

Draw a triangle with sides 5cm, 6cm and 7cm . Then draw another triangle whose sides are 4/5 of the corresponding sides of first triangle

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Question 7)

From a point on the ground, the angle of elevation of the top of a tower is observed to be 60 degree. From a point 40m vertically above the first point of observation, the angle of elevation of the top of the tower is 30 degree. Find the height of the tower and its horizontal distance from the point of observation

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**Also read - **

- CBSE Class 10 Maths Question Paper 2019 with Solutions
- CBSE Class 10 Maths Question Paper 2017 with Solutions
- CBSE Class 10 Maths Question Paper 2018 with Solutions
- CBSE Class 10 Maths Preparation Tips

**How to Solve CBSE Class 10 Maths Question Paper 2016 with Solutions?**

- First, try to solve CBSE previous year question papers Class 10 Maths 2016 on your own within the given time period.
- If you find difficulties while solving them, you can take help from these CBSE class 10 maths question paper 2016 with solutions provided in this article.
- Solutions of CBSE 10 maths question paper 2016 are prepared and explained in a detailed manner which can be understood easily.

After completing the entire syllabus of NCERT class 10 maths, you must practice the previous 5 years Class 10 CBSE question paper. It will also help you in the complete the final board paper on time and score well in the exam. In CBSE class 10 maths chapter 'Geometry' is considered to be the difficult chapter where most of the students feel trouble. Solving more problems from these chapters will help you to get command on these chapters.

**CBSE Class 10 Maths 2016 Question Paper Pattern**

CBSE Class 10 Maths Question Paper 2016 consists of 31 questions divided into four sections A, B, C, D. All these questions are compulsory.

CBSE 10 maths question paper 2016 contains four questions of one mark each where you need to answer in one word or one sentence as per the exact requirement of the question.

Section B of CBSE class 10 maths question paper 2016 with solutions contains six short answer type questions of two marks each where you need to answer as per the exact requirement of the question.

CBSE class 10 maths question paper 2016 section C contains 10 questions of three marks each where you need to provide complete solutions for each question.

Section D of the CBSE previous year question papers Class 10 Maths 2016 contains 11 long answer type questions of four marks each where you need to write a step-by-step complete solution for each question.

Note:- There is no internal choice given in CBSE 10 maths question paper 2016.

CBSE Class 10 Maths Question Paper 2016 with Solutions - Section-wise Division

Sl. No | Sections | Marks | Number of questions | Total marks |

1 | A | 1 | 4 | 4 |

2 | B | 2 | 6 | 12 |

3 | C | 3 | 10 | 30 |

4 | D | 4 | 11 | 44 |

**CBSE class 10 maths 2016 question paper analysis**

CBSE has conducted class 10 maths paper on the 19th March 2016 from 10.15 a.m. to 10.30 a.m. The starting 15 minute time has been allotted to read this question paper. This year's paper was considered to be tougher than the last year. Although most of the questions were directly taken from the NCERT or similar to the NCERT. Chater-wise marks distributions are tabulated below.

**CBSE Class 10 Maths Question Paper ****2016 A**nalysis

**2016 A**nalysis

Sl.No | Chapter Name | Set 30/1/1 |

1 | Real Numbers | 0 |

2 | Polynomials | 0 |

3 | Pair of Linear Equations in Two Variables | 0 |

4 | Quadratic Equations | 2+4+4 |

5 | Arithmetic Progressions | 1+2+3+4 |

6 | Triangles | 2+3+4 |

7 | Coordinate Geometry | 2+3 |

8 | Introduction to Trigonometry | 0 |

9 | Some Applications of Trigonometry | 1+3+4 |

10 | Circles | 1+2+2+4+4 |

11 | Constructions | 4 |

12 | Areas Related to Circles | 3+3+4 |

13 | Surface Areas and Volumes | 3+3+3+4 |

14 | Statistics | 0 |

15 | Probability | 1+3+4 |

From the above analysis you can see that chapter 'Circles' has the highest weightage followed by the 'Surface area and volumes' in this paper. Only about 10% of the questions were difficult. Overall this paper was an average level but a little lengthier. Students who have conceptual clarity can score full marks also. Some students found it lengthy and weren't able to complete this paper on time. Students who have practiced well and solved some previous year's papers were able to complete this paper on time. An average student can score above 80 percent marks in this paper easily.

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## Questions related to CBSE Class 10th

### Age criteria to appear in class 10 CBSE exam

Hello Bishal

According to guidelines of CBSE, minimum age to appear for class x must be 14 years. There is no upper limit to appear for class x cbse board.

A candidate can appear for maximum three attempts.

Some candidates give private exams or sometimes students fail in standard ix then they privately appear for class x then their age must be more than 14 years. Sometimes students appear for x class after one year gap of passing class ix then also their age would be 15 or 16 as there is no upper limit age.

### My child is supposed to make another attempt at compartment exam of 10th cbse Missed last date for applying. since the boards are postponed to May 4th can I pay her fees and apply now.

Hello sir I'm sorry to inform you but now you're not eligible to fill the registration form as last date to fill the registration Form was 9th December 2020. Yes examination gets postponed to May but portal to fill the registration form is not open , in case if the registration form portal will open again you can fill the registration form and make the payment.

Feel free to comment if you've any doubt

Good luck

### i want to know the sample paper and marking scheme of 10 th science

Hello there,

To get the sample papers for
**
CBSE Class
**
10th, you should visit the official CBSE website. There you can get all the papers. Solving the previous year papers, will be very beneficial for you. So, solve as much papers as you can.

As per the latest CBSE Class 10 exam pattern 2020-21, the theory paper will be of 80 marks, while 20 marks will be for internal assessment. To know more about exam pattern, please visit the link given below.

https://www.google.com/amp/s/school.careers360.com/articles/cbse-10th-exam-pattern/amp

Check out the papers here:

https://www.google.com/amp/s/school.careers360.com/articles/cbse-class-10-sample-papers/amp

### will the 2021 board exams for grade 10 conducted online or offline

Hello,

The 10th CBSE board exam will be conducted in offline mode only, These board exams will not be conducted in online mode. Central Board of Secondary Education conducts class 10th board examination for regular and private students. The exams of CBSE 10th 2021 will be conducted in February and March 2021. Candidates can fill CBSE 10th application form 2021 online on cbse.nic.in from October 24 to November 11, 2020.

### is unit exam marks taken into consideration for cbse internal marks grade 10.

Hey,

Your concern completely depends upon school. School management plans the division of marks. For few schools they must consider even class test on the other hand some just focus on mid and end . So the division of marks vary from school to school. What the school do is continuous access the student and then give marks accorrdingly. In my opinion focus on each and every test. Apart from internals it work for you in finals as well.

All the best