question paper of class 9th mathematics final exam 2021 please send
Answers
Answer:
II. Simplify the expression: (3 + √3)(2 + √2)
23. A cuboidal water tank is 6m long, 5 m wide and 4.5m deep. How many
liters of water can it hold?
24. Prove that a cyclic parallelogram is a rectangle.
25. The angles of quadrilateral are in the ratio 3:5:9:13. Find all the angles of
the quadrilaterals.
26. Write four solutions for the equation 2 + 5 = 0
Section-C
27. In which quadrant or on which axis do each of the points (– 2, 4), (3, – 1),
(– 1, 0), (1, 2),(0,-4) and (– 3, – 5) lie?
28. Sides of a triangle are in the ratio of 12 : 17 : 25 and its
perimeter is 540cm. Find its area.
29. Find three different irrational numbers between the rational numbers
5
7
9
11
.
30. Factorise:
3 − 3
2 − 9 − 5
31. Yamini and Fatima, two students of Class IX of a school, together
contributed Rs. 100 towards the Prime Minister’s Relief Fund to help the
earthquake victims. Write a linear equation which satisfies this data.
Draw the graph of the same.
32. In Fig. , lines XY and MN intersect at O. If ∠ POY = 90° and a : b = 2 : 3,
find c.
33. AB is a line segment and P is its mid-point. D and E are points on the
same side of AB such that ∠ BAD = ∠ ABE and ∠ EPA = ∠ DPB (see Fig.).
Show that
(i) Δ DAP ≅Δ EBP
(ii) AD = BE
34. An organisation selected 2400 families at random and surveyed them to
determine a relationship between income level and the number of
vehicles in a family. The information gathered is listed in the table
below:
Suppose a family is chosen. Find the probability that the family
chosen is
(i) earning Rs. 10000 – 13000 per month and owning exactly 2
vehicles.
(ii) earning Rs.16000 or more per month and owning exactly 1
vehicle.
(iii) earning less than Rs.7000 per month and does not own any
vehicle.
(iv) earning Rs. 13000 – 16000 per month and owning more
than 2 vehicles.
(v) owning not more than 1 vehicle
Section-D
35. Construct a triangle PQR in which QR = 6cm, ∠Q = 60° and PR – PQ = 2cm.
36. In a parallelogram ABCD, E and F are the mid-points of sides AB and CD respectively (see
Fig. ). Show that the line segments AF and EC trisect the diagonal BD
37. The following table gives the life times of 400 neon lamps:
(i) Represent the given information with the help of a histogram.
(ii) How many lamps have a life time of more than 700 hours?
38. The diameter of moon is approximately one fourth of the diameter of
the earth. Find the ratio of their surface areas and volumes.
39. Two sides AB and BC and median AM of one triangle ABC are
respectively equal to the sides PQ and QR and the median PN of triangle
PQR. Show that
i. ∆ ≅△
ii. △ ≅△
40. In Fig. , if PQ ⊥ PS, PQ || SR, ∠ SQR = 28° and ∠ QRT = 65°, then find the values of x and y.