2^nd UNIT TEST PRACTISE PAPER 1 FOR – OXFORD GRAMMAR SCHOOL

CLASS:IX SUB:MATHS Page 1

I Answer the following (5 x 2= 10 m)

1. S. T. log 10800 = 4 log 2+ 3 log 3 + 2 log 5.

2. S. T. _1_______ + _1_______ = 1

Log _x xy Log _y xy

3. The L.S. A. of equilateral triangular prism is 810 cm² height being 30 cm. Find volume.

4. The C.S.A of a cylinder is 1760 cm². Its volume is 12320 cm³. Find its height.

5. The dimensions of a trench are 6 m, 3 m, and 4.5 m. Find the cost of digging it at Rs 2.50 per cubic meter.

II Answer 3 of the following: (3 x 5= 15 m)

6. The length of a garden is 250 m and breadth is 200 m. A trench was dug around it outside. The width is 2 ½ m and depth 2 m. The earth dug out was spread out uniformly over it. Find the rise in level of the garden.

7. The cross section of a canal is trapezium with width of top 10 m and width at bottom
6 m with depth 5 m. The flow of water in the canal is 5 km/1 hr. Find the flow of water in kiloliters/1 hr.

8. If x = 1+ log _a bc, y = 1 + log _b ca, z = 1+ log _c ab. P.T. xy + yz +zx = xyz.

9. If a ^x = b^y = c^z and y² = xz, P. T. log _c b = log _b a.

10. P. T. 7 log 16 + 5 log 25 + 3 log 81 = log 2.

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