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Maths Test Papers Ix(9) Std.

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Solved Paper−1 Class 9th, Mathematics, SA−2
Time: 3hours Max. Marks 90 General Instructions 1. All questions are compulsory. 2. Draw neat labeled diagram wherever necessary to explain your answer. 3. Q.No. 1 to 8 are of objective type questions, carrying 1 mark each. 4. Q.No.9 to 14 are of short answer type questions, carrying 2 marks each. 5. Q. No. 15 to 24 carry 3 marks each. Q. No. 25 to 34 carry 4 marks each.

1.

Point (–3, 5) lies in the (A) first quadrant (C) third quadrant

(B) second quadrant (D) fourth quadrant

2.

If ∆ ABC ≅ ∆ PQR and ∆ ABC is not congruent to ∆ RPQ, then which of the following is not true: (A) BC = PQ (B) AC = PR (C) QR = BC (D) AB = PQ ABCD is a cyclic quadrilateral such that AB is a diameter of the circle …show more content…

(ii) In the classroom discuss what conclusions can be arrived at from the graph. 20. The taxi fare in a city is as follows: For the first kilometre, the fares is Rs 8 and for the subsequent distance it is Rs 5 per km. Taking the distance covered as x km and total fare as Rs y, write a linear equation for this information, and draw its graph. Find the volume of a sphere whose radius is (i) 7 cm (ii) 0.63 m 22. In parallelogram ABCD, two points P and Q are taken on diagonal BD such that DP = BQ (see the given figure). Show that:

21.

(i) ∆APD ≅ ∆CQB (ii) AP = CQ (iii) ∆AQB ≅ ∆CPD (iv) AQ = CP (v) APCQ is a parallelogram 23. ABCD is a parallelogram and AP and CQ are perpendiculars from vertices A and C on diagonal BD (See the given figure). Show that

(i) ∆APB ≅ ∆CQD
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(ii) AP = CQ 24. The following table gives the distribution of students of two sections according to the mark obtained by them: Section A Marks 0 − 10 10 − 20 20 − 30 30 − 40 40 − 50 Frequency 3 9 17 12 9 Section B Marks 0 − 10 10 − 20 20 − 30 30 − 40 40 − 50 Frequency 5 19 15 10 1

Represent the marks of the students of both

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