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ATOMIC ENERGY CENTRAL SCHOOL-3 MUMBAI-94 SUMMATIVE ASSESSMENT- I -2015-16 CLASS: VIII SUB: MATHEMATICS Time :2 ½ hrs Marks: 90 M (1x 15 =15M) Section – A 1. Choose the correct answers i ) Which of the following numbers have no reciprocal ? A) 0 B)–1 C ) -2 Ii ) Which of the following is the product of ( ) and D) -3 ? A) 12 B) C) iii) 10 years ago, I was ‘x’ years old. After 10 years, my age will be A) ( x +20) years B) ( x – 20 ) years C) ( x +10 ) years iv) The solution of the equation 13y = 39 is : D) D) ( x – 10 ) years A) B) C) D) 3 v ) Which of the following quadrilaterals is a regular quadrilateral ? A) Square B) Rhombus C) Rectangle D) Kite vi) The diagonals of a rhombus intersect each other at : A) 00 B) 900 C) 1100 D) 1800 vii) Each interior angle of a polygon is 1350 . How many sides does it have ? A) 6 B) 9 C) 8 D) 10 viii) How many diagonals are there in a hexagon? A) 10 B)8 C) 5 D) 9 ix) The probability of getting a head on tossing a fair coin is : A) B) C) x) The height of a bar in a histogram shows the : A) Upper ciass limit B ) Frequency C) class size xi) The value of D) 0 D) Range is : A) B) C) xii) What is the length of a side of a square whose area is 441 m2 ? A) 11m B ) 17m C ) 19m xiii) Which of the following numbers is a perfect cube ? A) 1331 B ) 1152 C ) 2016 xiv) The cube root of 512 is : A) 6 B) 8 C) 7 xv) If the number 5a12 is divisible by 9, then 1 D) D) 21m D) 739 D) 9 A) a = 0 B) a = 7 C) a = 1 D) a = 3 Section –B ( 2 x 11 =22M ) Each question caries 2 marks. 2. Multiply by the reciprocal of 3. Find four rational numbers between and . 4. Solve : 8x + 4 = 3( x – 1 ) +7 5. R E N T is a rectangle. Its diagonals intersect each other at ‘O’. Find ‘x’ if OR = 2x + 4 and OT=3x+1 6. 7. 8. 9. Construct a square ABCD where AB =4cm Write a Pythagorean triplet whose one number is 14 Find the square root of 2401 by prime factorization method. Find the smallest number by which 288 should be multipliedso that the product is a perfect cube ? 10. Find the value of A and B : 3 A + 2 5 ---------------B 2 11. Numbers 1 to 10 are written on ten separate slips ( one number on one slip ) kept in a box and mixed thoroughly. One slip is taken randomly from the box without looking into it. What is the probability of getting: a) a number less than 6 ? b) a prime number ? 12. The weekly wages ( in Rs. ) of 30 workers in a factory are given bellow . 830, 835, ,890, 810, 835, 836, 869, 845, 898, 890, 820, 860, 832, 833, 855, 845, 804, 808, 812, 840, 885, 835, 835, 836, 878, 840, 868, 890, 806, 840. Using tally marks, make a frequency table with class- intervals 800 -810, 810 – 820 and so on. Section – C ( 3 x 11 = 33M ) Each question carries 3 marks. 13. Represent on the number line : , , 14. The present age of Sahil’s mother is three times the present age of Sahil. After 5 2 years their sum of ages will be 66 years. Find their present ages . 15. Solve : = 16. The measures of two adjacent angles of a parallelogram are in the ratio of 3 : 2 . Find their measures. 17. Construct a parallelogram BARC such that BA = 5cm, AR = 6cm and R = 120 0. 18. Find the greatest 4 digit number which is a perfect square. 19. Find the square root of 51.84 by long division method. 20. Find the cube root of 13824 by prime factorization method . 21. Find the value of A, B and C : 4 A + 9 8 ----------------------C B 3 22. Find the measure of ‘z’ from the figure given bellow 23. A group of 360 people was asked to vote for their favorite season as shown in the table. Season Summer Rainy Winter Number of votes 90 120 150 Draw a Pie – chart to display this information. Section - D (4 x 5 =20M) Each question carries 4 marks . 24. Find the smallest square number that is divisible by each of the number 8, 15 and 20. 25. The perimeter of a rectangular swimming pool is 154m. Its length is 2m more than twice its breadth. Find the length and breadth of the pool. 26. Simplify : ( x ) ( x )–( x ). 27. Construct a quadrilateral BEST where BE =4cm, ES =3.5 cm, TB = 3.5 , BS = 4.5 and ET = 4cm. 28 . The number of cycles produced in a factory during five consecutive weeks is given below. Draw a bar graph to display the above information. Weeks First Second Third Fourth Fifth No.of 800 1300 1060 920 1440 cycles *************** 3