1. Three cubes each side 6 cm are joined end to end. Find the surface area of the resulting cuboid?2. 50 circular plates each of radius 7cm and thickness ½ cm are placed one above the other to form a solid right circular cylinder. Find the TSA of the cylinder so formed?3. A dome of a building is in the form of a hemisphere. From inside, it was white-washed at the cost of Rs. 498.96. If the cost of white-washing is Rs 2.00 per square meter, find the (i) inside surface area of the dome4. A right circular cone with radius 6cm and height 8cm is removed from a right circular cylinder of same height and base. Find the total surface area of the remaining solid?5. The dimensions of a room are 8mx6mxh.It has two doors each of size 2mx1m and one Almirah of size 3m x 2m, the cost of covering the walls by wall paper which is 40 cm wide at Rs 1.25 per m is Rs 362.5. Find height h?6. Draw the graph of 3x+2y+6=0 and find the area of the triangle formed with the line obtained and both the axis?7. For what value of k x=2 y= 3 is a solution of the equation(k+1) x - (2k+3) y-1=08. A person bought x kg of apples at the rate of Rs. 80 per kg and y kg of potatoes at the rate of Rs 20 per kg. He paid Rs. 580. Write the linear equation for the situation.Draw the graph .What will be the quantity of apples if 15 kg of potatoes were purchased, when the paid amount remains the same.9. According to scientist Newton F=ma, where F is the force applied and a is acceleration. If m=2, draw the graph. Also mention the quadrants through which the line passes.10. Ramesh is driving his car with a uniform speed of 80 km/hr. Draw the timeDistance graph. Form the graph find the distance travelled by him in.(i) 3 hours (ii) 1 ½ hours11. Show that the bisectors of angles of a parallelogram form a rectangle.12. PQRS is a parallelogram. A is a point on PS such that PA=1/2 PS and B is a point on QR such that BR=1/2 QR. Prove that APBR is a parallelogram.13. Show that quadrilateral formed by joining the midpoints of the side of a square is also square?14. ABCD is a trapezium in which AB// CD. M and N are the midpoints of the AD and BC respectively. If AB=12 cm and MN=14 cm, find CD?15. Prove that line segment joining the midpoints of the diagonals of a trapezium is parallel to each of the parallel sides and is equal to half the difference of these sides16. In the adjoining figure, D, E and F are mid-points of the sides BC, CA and AB of triangleABC If AB = 4.3cm, BC = 5.6cm and AC = 3.5cm, find the perimeter of triangle DEFINDIA INTERNATIONAL SCHOOL SHARJAHMATHEMATICS ASSIGNMENT (FA3)GRADE 91. Three cubes each side 6 cm are joined end to end. Find the surface area of the resulting cuboid?2. 50 circular plates each of radius 7cm and thickness ½ cm are placed one above the other to form a solid right circular cylinder. Find the TSA of the cylinder so formed?3. A dome of a building is in the form of a hemisphere. From inside, it was white-washed at the cost of Rs. 498.96. If the cost of white-washing is Rs 2.00 per square meter, find the (i) inside surface area of the dome4. A right circular cone with radius 6cm and height 8cm is removed from a right circular cylinder of same height and base. Find the total surface area of the remaining solid?5. The dimensions of a room are 8mx6mxh.It has two doors each of size 2mx1m and one Almirah of size 3m x 2m, the cost of covering the walls by wall paper which is 40 cm wide at Rs 1.25 per m is Rs 362.5. Find height h?6. Draw the graph of 3x+2y+6=0 and find the area of the triangle formed with the line obtained and both the axis?7. For what value of k x=2 y= 3 is a solution of the equation(k+1) x - (2k+3) y-1=08. A person bought x kg of apples at the rate of Rs. 80 per kg and y kg of potatoes at the rate of Rs 20 per kg. He paid Rs. 580. Write the linear equation for the situation.Draw the graph .What will be the quantity of apples if 15 kg of potatoes were purchased, when the paid amount remains the same.9. According to scientist Newton F=ma, where F is the force applied and a is acceleration. If m=2, draw the graph. Also mention the quadrants through which the line passes.10. Ramesh is driving his car with a uniform speed of 80 km/hr. Draw the timeDistance graph. Form the graph find the distance travelled by him in.(i) 3 hours (ii) 1 ½ hours11. Show that the bisectors of angles of a parallelogram form a rectangle.12. PQRS is a parallelogram. A is a point on PS such that PA=1/2 PS and B is a point on QR such that BR=1/2 QR. Prove that APBR is a parallelogram.13. Show that quadrilateral formed by joining the midpoints of the side of a square is also square?14. ABCD is a trapezium in which AB// CD. M and N are the midpoints of the AD and BC respectively. If AB=12 cm and MN=14 cm, find CD?15. Prove that line segment joining the midpoints of the diagonals of a trapezium is parallel to each of the parallel sides and is equal to half the difference of these sides16. In the adjoining figure, D, E and F are mid-points of the sides BC, CA and AB of triangleABC If AB = 4.3cm, BC = 5.6cm and AC = 3.5cm, find the perimeter of triangle DEF