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Alok Vidyashram Gaushala, Kathmandu, Nepal b. Find the square root of 63504 by division method. Class VII- Final Summative Assessment 2011-12 6. a. Find the square root of 7056 by prime factorisation method. Subject: Mathematics Time: 3 Hours Full Marks: 100 Pass Marks: 50 Answer all the questions. All the essential working should be shown clearly. Group A [(2 +2) X 15 = 60] b. A circle has radius 14cm. Calculate the area and perimeter of the circle. 7. a. On a particular day, out of 700 students, 15% were absent. Calculate the number of students present on that particular day. b. Find the mean and the median of the following data. 5, 7, 6, 9, 4. 1. a. In a class of 60 students, 35 are boys. Find the ratio of number of boys to the number of girls b. A man borrows Rs 5000 from a bank for 2 years at 12% rate of simple interest. Calculate the interest that he has to pay after 2 years. 8. a. Add: 2a + 3b – 5c, 5a + 6b + 7c, 2b + 3a – 4c, 4b + c – 6a b. Subtract 4a +3b – 3c from 9a – 5b + 6c 9. a. Simplify: 2. a. If 4 boys can do a work in 12 days, in how many days can 6 boys do it? b. The LCM and the HCF of two numbers are 1760 and 32 respectively. If one of the numbers is 160, find the other number. 3.98 x3.98 2.42 x 2.42 3.98 2.42 b. Find the square of 999 without actual multiplication. 10. a. Solve for x. 3x - 15 = 2(x – 3) b. Find the square of 2x + 3y. 3. a. Divide Rs 600 between A and B in the ratio of 3:5. 11. Factorise: a. xy –pq + qy - px b. Determine whether 8:10 and 12:18 are in proportion. 4. a. How long will it take a man to walk 48 km if he walks 12 km in 3 hours? Use proportion method. b. x3 -25x 12. a. Find the HCF of 5x + 10y and 3x + 6y . b. If a +b = 7, ab = 12, find the value of (a-b)2 b. If 3, 5, 9 and x are in proportion, find the value of x. 5. a. Convert 110012 into base 10 numerals. 13. a. Solve the inequality 4x + 5 < 21 and show the solution set in the number line. SA3-2011-12-7-Maths-Page 1 of 2 1 1 1 1 +4x ÷ - 2 2 8 3 3 3 2 4 5 3 4 a b c a bc 12 2 bc 2 17. Simplify: ÷ x 8 x 3 y 2 8x 5 y 3 z 2 4x 3 y 4 z 3 18. Divide 12x2 – 32xy – 35y2 by 2x – 7y 16. Simplify: 2 b. In the figure alongside, calculate the value of y if x = 30° 14. a. From the adjoining figure, calculate the value of x, and y. 19. A man bought 50 books for Rs 40 each. Unfortunately, 10 of them were stolen. He then sold the remaining books for Rs 70 each. Now calculate his total profit or loss amount. Also calculate his loss or profit percent. b. Draw a line segment of 7.5cm and bisect it perpendicularly. 15. a. Can a triangle have two obtuse angles? Give reason for your answer. b Observe the coordinates of the points marked on the graph and hence calculate the distance between the points A and C. 20. If U = {even numbers less than 22}, A = {multiples of 4}, B = {multiples of 6}, draw Venn diagram to show the relationship among the sets. Hence, shade the region A B. Also write A B in listing method. 21. From the adjoining figure, calculate the values of unknown angles. 22. A rectangular play ground is 60 m long and 40 m broad. Calculate its perimeter and area. 23. A quadrilateral has its angles in the ratio of 1:2:3:4. Calculate the size of each angle of the quadrilateral. 24. Construct a triangle ABC in which AB = 5cm, BC = 6cm and angle B = 45° Note: 4 marks for Homework Activities -The EndGood Luck Group B [4 x 9 = 36] SA3-2011-12-7-Maths-Page 2 of 2