# CBSE Set Q Maths Class X 1996 Sample Test Papers For Class 10th for students online

**Maths Class X (CBSE)
You are on Set no 1 Qno. 1 to 20
**

Time allowed : 3 hours

Maximum Marks : 100

General Instructions :

(i) Question number 1 to 15 carry 2 marks each.

(ii) Question number 16 to 25 carry 4 marks each.

(iii) Question number 26 to 30 carry 6 marks each.

(iv) Write the serial number of the question before attempting it.

(v) Use of logarithmic and trignometric tables is permitted. Use of calculator
is not permitted.

**Section - A**

**Q1) **Find the value of k for
which the system of equations has no solution :

3x - 4y + 7 = 0

kx + 3y - 5 = 0 **(Marks 2)**

**Q2) **Find the g.c.d. of the
following polynomials :

2x^{2} - x - 1 and 4x^{2} + 8x + 3 **(Marks 2)**

**Q3) **If A = (x + 1)/(x - 1),
find A - 1/A in the simplified form. **(Marks 2)**

**Q4) **Form the quadratic
equation in x whose roots are 2 + 5
and 2 - 5. **(Marks
2)
**

**Q5) **The base radii of two
right circular cones of the same height are in the ratio 3 : 5. Find the ratio
of their volumes. **(Marks 2)**

**Q6) **A colour T.V. is
available for Rs. 13,440 inclusive of sales tax. If the original cost of T.V. is
Rs. 12,000 find the rate of sales tax. **(Marks 2)**

**Q7) **Evaluate : cot 54^{o}/tan
36^{o} + tan 20^{o}/cot 70^{o} - 2 **(Marks 2)
**

**Q8) **Simplify : (1 + tan^{2}
)(1 - sin )(1
+ sin ) **(Marks 2)**

**Q9) **Prove that : sin /(1
- cos ) = cosec
+ cot . **(Marks 2)
**

**Q10) **In Fig. 1, ABC
and DEF are similar.
The area of ABC is 9
sq.cm and area of DEF
is 16 sq.cm. If BC = 2.1 cm, find the length of EF. **(Marks 2)
**

**Q11) **In Fig. 2, O is the
centre of the circle and AB is a chord of the circle. Line QBS is a tangent to
the circle at B. If AOB =
110^{o}, find APB
and ABQ. **(Marks
2)
**

**Q12) **In Fig. 3, chords AB and
CD intersect at P. If AB = 5 cm, PB = 3 cm and PD = 4 cm, find the length of CD.
**(Marks 2)
**

**Q13) **Calculate the median of
the following data :

83, 37, 70, 29, 45, 63, 41, 70, 30, 54 **(Marks 2)
**

**Q14) **Find the Crude Death
Rate (CDR) for the following data: **(Marks 2)**

Age
group (in years) |
Population | Number of Deaths |

0 - 10 | 5000 | 250 |

10 - 25 | 2000 | 120 |

25 - 45 | 8000 | 150 |

45 - 70 | 7000 | 80 |

Above 70 | 3000 | 250 |

**Q15) **Flow Chart. Omitted
being out of Syllabus. **(Marks 2)**

**Section - B**

**Q16) **Solve for the following
system of equations graphically :

2x + y - 3 = 0

2x - 3y - 7 = 0 **(Marks 4)**

**Q17) **Factorise. Omitted,
being out of Syllabus. **(Marks 4)**

**Q18) **A man has only 20 paise
coins and 25 paise coins in his purse. If he has 50 coins in all totaling Rs.
11.25, how many coins of each does he have? **(Marks 4)**

**Q19) **Divide 29 into two parts
so that the sum of the squares of the parts is 425. **(Marks 4)**

**Q20) **The diameter of a sphere
is 42 cm. It is melted and drawn into a cylindrical wire of 28 cm diameter. Find
the length of the wire. **(Marks 4)**