SAMPLE PAPER | CLASS 9 | MATH

 

PERIODIC TEST -2         (MATHEMATICS)

Time -: 1  hrs.                                  CLASS- IX^TH                                                  M.M = 30

General Instruction -:

i)        All the questions are compulsory.

ii)      The question paper consists of 13 questions.

iii)    Questions 1 to 5 are 1 mark each.

iv)    Questions 6 to 7 are 2 marks each.

v)      Questions 8 to 10 are 3 marks each.

vi)    Questions 11 to 13 are 4 marks each.

1.      Choose correct option from following questions:-

1. The lengths of the diagonals of a rhombus are 12cm and 16cm. The area of the rhombus is –

a)      192 cm²        b)  96 cm²            c) 64 cm²              d) 80 cm²

2. The angle in a semicircle measures –

a)      45°                  b) 96°                    c) 90°                     d) 36°

3. The area of an equilateral triangle is 36  cm². Its perimeter is-

a)      36cm             b) 12  cm        c) 24cm              d) 30cm

4. The lateral surface area of a cylinder is-

a)                   b)                 c) 2                d) 2

5. The median of the numbers  4,4,5,7,6,7,7,12,3, is-

a)      4                      b) 5                        c) 6                         d) 7

2.       A coin is tossed 600 times with the frequencies as :

Heads : 342  and  Tails : 258

If a coin is tossed at random, what is the probability of getting         i) a head ?      ii) a tail ?

3.       Find the volume and surface area of a sphere of radius 21cm.

OR

The curved surface area of a cylinder is 1210 cm² and its diameter is 20cm. Find the height and       volume.

4.       In an isosceles ∆ABC with AB=AC, a circle passing through B and C intersects the sides AB and AC at D and E respectively. Prove that DE ǁ BC.                                                                              (fig-Q.4.1)                                                

OR

AB and CD are two parallel chords of a circle with centre O and radius 5cm such that AB = 8cm and CD = 6cm. if OP⊥AB and OQ⊥CD .Determine the length PQ.

5.       In ∆ABC , if D is the midpoint of BC and E is the midpoint of AD then prove that-

ar(∆BED) = ar(∆ABC) .         

6.       P,Q,R and S are respectively the midpoints of the sides AB, BC, CD and DA of a quadrilateral ABCD  Show that.                                                                                                                         (fig-Q.4.2)

             (fig.Q5)

i)                    PQ ǁ AC and PQ=  AC                                                               

ii)                   PQ ǁ SR

iii)                 PQRS is a parallelogram.

 

7.          Find the area of a parallelogram ABCD in which AB = 28cm, BC = 26cm and diagonal AC = 30 cm.

8.          Various modes of transport used by 1850 students of a school are given below :

School Bus	Private Bus	bicycle	Rikshaw	By foot
640	360	490	210	150

                Draw a bar graph to represent the above data.

9.       Find the mean of following distribution :

Variable	4	6	8	10	12
Frequency	4	8	14	11	3

 

 

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