CBSE: 10th Class Sample Test Paper - 2011

Mensuration

2 marks Questions

Q1. If the perimeter of a semicircular protractor is 72 m, find the radius of protractor

Q2. Find the area of a right angled triangle if the radius of its circum circle is 3 cm and altitude drawn to the hypotenuse is 2 cm.

Q3. The length of the rectangle is twice its breadth. If the perimeter of the rectangle is 16 m find the area

Q4. The lawn of the rectangle has sides in the ratio of 4:5. The cost of cutting the grass is at Rs. 5.80 per square metre is Rs. 1276. Find the cost of fencing the lawn at Rs. 4.30 per meter.

Q5. A paper is in the form of a square of side 28 m. Two semicircular portions with BC and AD as diameter is cut off. Find the area of the remaining paper.

Q6. The radius and height of a cylinder are in the ratio 3:4 and its curved surface area is 2112/7 cm2. Find its height.

Q7. The radius and vertical height of a cone are in the ratio, 3:4. Its slant height is 5 cm. Find its curved area.

Q8. If one diagonal of a rhombus is 4 cm and its one side is 5 cm, find the area and perimeter of the rhombus.

Q9. An aluminum wire when bent into the form of a square encloses an area of 441 cm2. If the same wire is bent into the form of an equilateral triangle, find the area of the triangle.

Q10. Find the area of a regular decagon whose one side is 20cm. Given tan72o = 3.077.

Q11. If the perimeter of the semicircle is 36 m, find the area of the circle.

Q12. If the length of the rectangle is increased by 20% and breadth is increased by 10%, find the percentage increase in the area.

Q13. Find the length of the diagonal of a square in meter whose area is 0.8 hectare.

Q14. The area of the parallelogram is 48 m2. If the base is thrice the altitude, find the base and altitude.

Q15. A rectangular plot is 1.5 times as long as it is broad and its area is 2/3 hectare. Find the length of the plot.