The cross section of a canal is a trapezium is shape. If the canal is 10m wide at the top and 6m wide at the bottom and the area of cross section is 840sq.m. Find the depth of the canal?

A certain colony of bacteria began with one cell, and the population doubled every 20 minutes. What was the population of the colony after 2 hours?

Note:
This is a logical question and doesn’t require any prior knowledge except the idea of multiplication. This could also be solved by simply making a table with an interval of 20 min and population which is multiplies by 2 in consecutive cells till we get 2 hours.

A Rectangular sheet of paper, 36 cm x 22 cm, is rolled along its length to form a cylinder.  Find the volume of the cylinder so formed?

The parallel sides of a trapezium are 20cm and 10cm. Its non parallel sides are both equal. Each being 13cm. Find the area of the trapezium ?

In a fraction, if the numerator is increased by 2 and the denominator is decreased by 3, then the fraction becomes 1. Instead, if the numerator is decreased by 2 and denominator is increased by 3, then the fraction becomes 3/ 8. Find the fraction.

What is the volume of a cylindrical container with base radius 5 cm and height 20 cm?
 

In the x - y plane, the graph of line   has slope 3 . Line k  is parallel to line   and contains the point  ( 3, 10 ). Which of the following is an equation of line k ?

Note:
The general equation of a line is  Ax + By = c. This form is modified to give us many other forms of equation of a line which involve the use of slope, x intercept, y intercept, etc. The student needs to be familiar with all these forms of equation of a line.

The ratio of the lengths of the parallel sides of a trapezium is 3:2. The shortest distance between them is 15cm. If the area of the trapezium is 450 sq. cm. Find the sum of the lengths of the parallel sides ?

The sum of two numbers is 52 and their difference is 20. find the numbers?

A 12% brine solution was mixed with a 16% brine solution to produce a 15% brine solution. How much of the 12% brine solution and how much of the 16% brine solution were used to produce 40 L of the 15% solution?

Candies  cost $2 an ounce and have 500 calories in an ounce. Cookies cost $3 an ounce and have 400calories in an ounce. A mixture of candies and cookies costs $29 and has 4,800 calories. Create a system of equations to model this scenario. How many ounces of candies are there in the mixture?

Chocolate  costs $7 a pound. Biscuits cost $9 a pound. There is a mixture of peanuts and cashews that weighs 10pounds and costs $84. How many pounds of chocolates are there in the mixture?

A fence is put around a rectangular plot of land. The perimeter of the fence is 28 feet. Two of the opposite sides of the fence cost $10 per foot. The other two sides cost $12 per foot. If the total cost of the fence is $148, what are the dimensions of the fence?

A Stone of volume 36 cubic cm is placed in a rectangular tank measuring 8 cm by 6 cm by 5 cm. A student wants to fill the tank with water to a height of 4 cm. What is the volume of the water needed?

The area of a trapezium side field is 480sq. m , the height is 15m and one of the parallel side is 20m .Find the other side ?

The velocity v , in meters per second, of a falling object on Earth after t seconds, ignoring the effect of air resistance, is modeled by the equation v = 9.8t . There is a different linear relationship between time and velocity on Mars, as shown in the table below.

If an object dropped toward the surface of Earth has a velocity of  58.8 meters per second after t  seconds, what would be the velocity of the same object dropped toward the surface of Mars after t  seconds, ignoring the effect of air resistance?

Note:
When we get time t = 6  seconds, we can find the answer directly from the options. As 6 is between 4 and 8, and the relation is linear,
so the velocity is between 14.8 metres per second and 29.6 metres per second.