Q.1
A typist uses a paper 30 cm by 15 cm. He leaves a margin of 2.5 cm at the top and bottom and 1.25 cm on either side. What percentage of paper area is approximately available for typing ?
Q.2
The area of a triangle whose sides are of lengths 3 cm, 4 cm and 5 cm is :
Q.3
The perimeter of a triangle is 30 cm and its area is 30 cm2. If the largest side measures 13 cm, then what is the length of the smallest side of the triangle ?
Q.4
If the length and breadth of a rectangular field are increased, the area increases by 50%. If the increase in length was 20 %, by what percentage was the breadth increased ?
Q.5
Twenty-nine times the area of a square is one square metre less than six times the area of the second square and nine times its side exceeds the perimeter of other square by 1 metre. The difference in the sides of these squares is :
Q.6
A triangle with sides 13 cm, 14 cm and 15 cm is inscribed in a circle. The radius of the circle is :
Q.7
A skating champion moves along the circumference of a circle of radius 28 m in 44 sec. How many seconds will it take her to move along the perimeter of a hexagon of side 48 m ?
Q.8
The diagonal of a rectangular field is 15 metres and the difference between its length its length and width is 3 metres. The area of the rectangular field is :
Q.9
The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is:
Q.10
The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?
Q.11
If a parallelogram with area P, a rectangle with area R and a triangle with area T are all constructed on the same base and all have the same altitude, then which of the following statements is false ?
Q.12
The diagonal of the floor of a rectangular closet is $$7\frac{1}{2}$$ feet. The shorter side of the closet is $$4\frac{1}{2}$$ feet. What is the area of the closet in square feet?
Q.13
A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The percentage of decrease in area is:
Q.14
An artist has completed one-fourth of a rectangular oil painting. When he paint another 100 square centimetres of the painting, he would complete three-quarters of the painting. If the height of the oil painting is 10 cm, determine the length (in cm) of the oil panting.
Q.15
Total area of 64 small squares of a chessboard is 400 sq. cm. There is 3 cm wide border around the chess board. What is the length of the side of the chess board ?
Q.16
In an isosceles triangle, the measure of each of the equal sides is 10 cm and the angle between them is 45° . The area of the triangle is :
Q.17
A triangle and a parallelogram are constructed on the same base such that their areas are equal. If the altitude of the parallelogram is 100 m, then the altitude of the triangle is :
Q.18
The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ 26.50 per metre is Rs. 5300, what is the length of the plot in metres?
Q.19
A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required?
Q.20
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:
Q.21
A man is walking in a rectangular field whose perimeter is 6 km. If the area of the rectangular field be 2 sq. km, then what is the difference between the length and breadth of the rectangle ?
Q.22
If the diagonal and the area of a rectangle are 25 m2 and 168 m2, what is the length of the rectangle ?
Q.23
The diagonal of a rectangle is $$\sqrt {41} $$ cm and its area is 20 sq. cm. The perimeter of the rectangle must be:
Q.24
What is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad?
Q.25
The length of a rectangle is increased by 60%. By what percent would the width have to be decreased so as to maintain the same area ?
Q.26
The circumference of a circle, whose area is 24.64 m2 , is :
Q.27
A tank is 25 m long, 12 m wide and 6 m deep. The cost of plastering its walls and bottom at 75 paise per sq. m, is:
Q.28
An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is:
Q.29
The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?
Q.30
A path of uniform width runs round the inside of a rectangular field 38 m long 32 m wide. If the path occupies 600 m2, then the width of the path is :
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