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Name of the School : Sainik School
Class : IX Std
Exam : Entrance Exam
Document Type : Model Question Paper
Name of the Subject : Mathematics And Science

Website : sainikschoolamaravathinagar.edu.in
Download Model Question Paper : https://www.pdfquestion.in/uploads/7684-Class9Math&Sci2015.pdf

Mathematics And Science Question Paper :

Section – I :
1. Find any three rational numbers between 3 and 4
2. Two numbers are in the ratio 5 : 3. If they differ by 18, what are the numbers

Related : Sainik School Mathematics Admission Question Paper Class VI : www.pdfquestion.in/7680.html

3. Convert the following ratios to percentages
i ) 2: 3
ii) 3: 4
4. Find the number of sides of a regular polygon whose each exterior angle has a measure of 45°
5. State whether True or False.
(i) All rhombuses are parallelograms.
(ii) All parallelograms are trapeziums.
(iii) Ail squares are not parallelograms.
(iv) All squares are trapeziums.
6. The list price of a frock is Rs. 220. A discount of 20% is announced on sales. What is the amount of discount on it and its sale price
7. How many numbers lie between the squares of the following numbers ?
(i) 25 and 26
(ii) 99 and 100
8. Find the square root of 6400 through prime factorisation method.
9. A dice is thrown then, find the probability of getting prime number.
10. Shyam bought an air cooler for Rs.3300 including a tax of 10%. Find the price of the air cooler before VAT was added
11. How many diagonals does each of the following have
(a) Convex Quadrilateral
(b) A regular Hexagon
12. Simplify the expression 3y (2y-7) – 3 (y-4) – 63 for y= – 2
13. Using the Identity (I), find (2x + 3y) 2
14. Find the area of the quadrilateral PQRS shown in the figure.
15. Find the height of a cylinder whose radius is 7 cm and the total surface area is 968 cm
16. Six pipes are required to fill a tank in 1 hour 20 minutes. How long will it take if only five pipes of the same type are used ?
17. Solve X + X •= X 7

Section – II :
Q.21 The difference between two whole numbers is 66. The ratio of the two numbers is 2:5. What are the two numbers ?
Q. 22 In the figure, BEST is a parallelogram. Find the values of angles x, y and z
Q23 A bag has 4 red balls and 2 yellow balls. The balls are identical in all respects other than colour. A ball is drawn from the bag without looking into the bag. What is the probability of getting a red ball? Is it more or less than getting a yellow ball?
Q.24 Write a Pythagorean triplet whose smallest number is 8
Q .25 A shop keeper purchased 200 bulbs for Rs 10 each . However 5 bulbs were fused and had to be thrown away. The remaining were sold at Rs 12 each. Find gain % or loss %
Q .26 Find Compound Interest on Rs 12,600/ – for 2years at 10% per annum compounded annually.
Q. 27 Simplify (a+b) (2a-3b+c) – (2a-3b)c
Q. 28 For the given solid, draw the top view, front view and side view.
Q. 29 (a) How are prisms and cylinders alike ?
(b) How are pyramids and Cones alike?
(c) Is a square prism same as a cube?
Q.30 A godown is in the form of a cuboid of measure 60m x 40m x 30m. How many cuboid boxes can be stored if the volume of one box is 0.8m

PART -B:
Science :
Q.1 Penicillin is a drug that can
(a) Interfere in the biological pathway of bacteria.
(b) An antibiotic that can kill bacteria
(c) Both (a) & (b)
(d) None of the above
Q. 2 To hear a distinct echo the time interval between the original sound and the reflected sound must be; Select the correct answer
(a) 0.2 S (c) 2 S (b) 1 S (d) 0.1 S
Q. 3 The Non-metal which is highly reactive and stored under water is
(a) Bromine (b) Sulphur (c) Phosphorus (d) Iodine
Q.4 Nitrogen fixation can be done by
(a) Industries (b) Rhizobium (c) Lightning (d) All of the above
Q. 5 The device used to measure the Purity of milk is
(a)Hydrometer
(b)Lactometer
(c)Hygometer
(d)Maltometer
Q. 6 The Crops which are grown in the rainy season are called
(a)Rabi Crops
(b)Kharif Crops
(c)Rainy Crops
(d)None of these
Q.7 The number of nuclei Present in a Zygote is
(a) one
(b) two
(c) four .
(d) None
Q. 8 Rayon is different from synthetic fibres because
(a)It has a silk like appearance
(b)It is obtained from wood Pulp
(c)Its fibres can also be woven like of natural fibres
(d)None of these
Q. 9 Choose the correct arrangement of the forces due to rolling, static and sliding friction in a decreasing order
(a)rolling, static, sliding
(b)rolling, sliding, static
(c)static, sliding, rolling
(d)sliding, static rolling
Q. 10 The process of transferring of charge from a charged body to earth is called
(a) . Discharging
(b)Charging
(c)Earthing
(d)None of these
Q. 11 That part of the eye which gives a distinct colour to the eye is
(a)Iris
(b)Pupil
(c)Cornea
(d)Lens
Q. 12 Green house gases are
(a)C 0 2
(b)C H 4
(c)CFC
(d)All of the above
Q. 13 Hottest part of the candle flame is
(a)Innermost
(b)Outermost
(c)Middle Zone
(d)Luminous
Q. 14 Those species of plants which are found in a particular area are called
(a)Species
(b)Endemic species
(c)Endangered species
(d)None of these
Q. 15 A tadpole develops into an adult by the process of
(a)Fertilization
(b)Metamorphosis
(c)Embedding
(d)Budding