Sample Question Paper

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1 Sample Question Paper. The cost of 3 7 metres of string is `, the cost per metre is ` æ ö ç ç + is equal to. 3 ç + è 3 4 ø The value of 3+ + is. /9 8/ 4/ /4

2 4. A positive number when decreased by 4 is equal to times the reciprocal of the number. The number is The rectangle has length m and perimeter P metres. Which equation could be used to find the width (w) of the rectangle? w P = + P = w P = 30 + w P = 30 w 6. The value of x for which 0 3 x 3x + = is The given quadrilateral EFGH is a. Parallelogram G Concave quadrilateral Convex quadrilateral Trapezium E H F 8. The exterior angle of a regular polygon is one-third of its interior angle. How many sides has the polygon? To construct a quadrilateral uniquely, it is necessary to have the knowledge of at least independent elements. Four Five Three Six

3 0. Which of the following is not a perfect square? If = x, then the value of x is All of these. The number must be subtracted from 66 to get a perfect square is Parikshit makes a cuboid of plasticine of sides cm, cm, cm. How many cuboids will he need to form a cube? The value of is Which of the following number is not a perfect cube? A sum of ` 0 was lent partly at % and partly at 8% p.a. simple interest. The total interest received after 3 years was ` 300. The ratio of the money lent at % to that of lent at 8% is. : 8 8 : 6 : 3 : 6 7. If S.P. of an article is 4 3 of its C.P., then the profit % in the transaction is. % % 3 0 % %

4 8. 30% of 40 = x% of 840, then the value of x is If x = a 3b + c and y = a + b 3c, then 3x y =. 4a + 3b + 9c 4a + 3b + 9c 4a 3b 9c 4a 3b + 9c 3 3 (0.0347) +(0.963) 0. The value of (0.0347) (0.963) 4 is The product of (x + 3x 7) and ( + 3x) is. 9x 3 x + x 4 9x 3 + x x 4 9x 3 + x x + 4 9x 3 x x + 4. If at least one angle of a polygon is more than 80, then it is called a. parallelogram concave polygon convex polygon trapezium 3. To construct a parallelogram, the minimum number of measurements required is With four given lengths, we can always form exactly one quadrilateral at the most one quadrilateral several quadrilaterals either none or several quadrilaterals The value of , is. 0/

5 6. The standard form of is Class (3) () Number of prime factors in (4) () is Factorisation of l + p + pq + p q is. (l q)(l pq) ( + q)(l + pq) ( + p)(l + pq) (l p)(l pq) 9. ( ) ( ) The value of is Factorisation of x xy z + y is. (x y + z)(x y z) (x y + z)(x + y + z) (x y + z)(x + y z) (x + y + z)(x + y + z) 3. 4 pumps of equal capacity can fill a tank in 6 days. If the tank has to be filled in 4 days, the number extra pumps needed is A truck needs 4 litres of diesel for covering a distance of 97 km. The diesel required by the truck to cover a distance of 0 km is. 00 litres 0 litres.6 litres litres 33. If p : q = 3 : 4 and q : r = 8 : 9, then p : r is. : 3 3 : : 3 :

6 34. The probability of occurrence of an event is. Number of trials in which an event occured Total numberof trials Number of trials in which event occured Number of trials in which event occured Total numberof trials Total numberof trials Number of trials in which event occured Total numberof trials Number of trials in which event occured Number of trials in which event occured 3. In a survey of 00 ladies, it was found that 8 like coffee while 8 dislike it. From these ladies, one is chosen at random. The probability that the chosen lady dislikes coffee is Euler s formula for any polyhedron, where F is the numberof faces, V stands for number of vertices and E stands for number of edges is. F + V + E = F V + E F + V E = (d ) F V E = 37. The percentage increase in the surface area of a cube when each side is doubled is. % 0% 0% 300% 38. The sides of a triangle are 0 cm, 78 cm gnd cm. The smallest altitude is. 0 cm 30 cm 40 cm 0 cm 39. The area of a circle and a square are equal, the ratio of the sides of the square to the radius of the circle is : π π : : : 00 4

7 40. The length of perpendicular from the centre on a chord is cm. If the chord subtends the angle at the centre is 90, then the length of the chord is. cm cm 4 cm 3 cm 4. In a certain code language, 3 means books are old, 46 means man is old and 378 means buy good books. What stands for are in that code? In which figure does the shaded part represents 0.3? What is the value of 0 0? The three scales below are shown balanced. If = 3, what are the values of D and? 7, 4 4, 7 6,, 6 4. A watch reads 9 O clock and its hour hand is pointing South-East. In what direction, the minute hand of the watch is at that time? North-East East South South-West 46. 3,?,, 3, 63,

8 47. Seen through a mirror, the arms of a clock shows 8:0. What is the actual time? 3:0 3: 9:4 0: 48. Study the diagram given carefully and answer the question. Youths in villages Unemployed youths Educated Uneducated unemployed youths in villages are represented by Two positions of a block are given below. When is at the top, which number will be at the bottom? Ritu and Priti start from a fixed point. Ritu moves km westward and turns left and then covers 6 km. Priti moves 7 km northward, turns left and walks km. The distance between Ritu and Priti now is. 0 km 3 km 8 km 6 km Note: The actual question paper will transclated in Hindi at the time of exam. 8