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SUMMATIVE ASSESMENT - I (2011-2012) Subject: MATHEMATICS Grade: VIII SA1MAT0811SET1QP Max. Marks: 80 Time: 3Hours 16-Oct-2011 General Instructions: This question paper consists of 5 printed pages. All questions in section A carry 1 mark each All questions in section B carry 2 marks each All questions in section C carry 3 marks each All questions in section D carry 4 marks each All answers to be written in the answer sheet provided. SECTION A 1. If one side of a square is (a+2) cm, then its p erimeter will be________. a) (x+12)cm 2. c) (a+2) 2 cm d) (4a+8)cm. If n is an even positive integer, then ( -1) n is equal to ___________. a) -1 3. b) (3a+6) cm b) 1 c) 0 d) None. The number of times a particular observation occurs in a given data is called its _____. a) range 4. b) raw data c) frequency d) class mark. A parallelogram having all sides equal is called _______. a) A trapezium b) A rhombus Page 1 of 4 c) A rectangle d) A triangle. 5. For a solid shape if the number of edges is 5 and the number of vertices is 3 then the number of faces is______. a) 5 b) 6 c) 4 d) 2. SECTION-B 6. Represent 3 on the number line. 8 7. Write a Pythagorean triplet whose one member is 16. 8. Find the smallest number by which 392 must be multiplied to obtain a perfect cube? 9. Solve using identity (3a 2 +4) (3a 2 – 7). 10. Find the product of ( 3pq +6q 2 ) 11. Find the value of ( 8 0 + 5 - 1 ) x 2 2 ? 12. Write in standard form a) 0.000029 13. A bag has 3 red and 4 yellow identic al balls. A ball is drawn from the bag at and (1pq – 2q 2 )? b) 7060000. random. What is the probability of getting a) red ball b) yellow ball. 14. Find the measure of each exterior angle of a regular polygon of 9 sides? 15. Find the square root of 256 by prime factorizatio n method? SECTION-C 16. Find using appropriate properties 3 5 1 3 5 3 5 8 6 2 16 5 Page 2 of 4 –x 2 y 2 + 5( y 2 – 3xy) from -7xy +3y 2 -13x 2 y 2 . 17. Subtract 18. The number of children in 30 families of a locality is as follows: 1,2,2,3,4,5,4,4,5,3,1,2,1,2 ,1,2,5,4,3,1,3,2,3,2,1,1,4,2,3,4. Prepare a frequency distribution table for this data. 19. From the following figure find the value of x+ y + z. z 600 900 x y 20. Find x so that (-4) x + 1 x (-4) 5 = (-4) 1 2 . SECTION-D 21. 22. 5 Simplify 5 3 10 625 t 55 6 5 t 8 4 . Find four rational numbers between 1 3 and . 4 5 23. Find the greatest number of five digits which is a perfect square and also find its square root? 24. What is the least number that 576 must be multiplied to make it a perfect cube? 25. Show that (9a – 5b) 2 + 180ab = (9a + 5b ) 2 . Page 3 of 4 26. Simplify (x 2 – y 2 x) 27. Following are the marks secured by Subject Hindi Mathematics English Science Social Studies Arabic Construct a pie chart to show the 28. Draw a histogram to represent the follo wing data: Marks Obtained No of students 10-20 10 20-30 15 30-40 25 40-50 5 50-60 20 7056 sunflower plants are to be planted in a garden in such a way that each row contains as many plants as the number of rows. Find the number of rows and the number of plants in each row? From the parallelogram ABCD find a and b? 29. 30. 2 + 2x 3 y 2 . Reshma in an examination (out of 900) Marks 100 140 120 120 110 130 given data. D C 18 a+b 16 a+8 A B Page 4 of 4