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 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.

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?

A pet store has 30 animals. Some are cats and the rest are dogs. The cats cost $50 each. The dogs cost $100each. If the total cost for all 30 animals is $1900, how many cats are there?

The parallel sides of a trapezium are 30 cm and 10 cm and the other two sides are 13 cm and 21 cm. Find its area?

A Hollow cylindrical pipe is 21 cm long. If its outer and inner diameters are 10 cm and 6 cm respectively, then find the volume of the metal used in making the pipe?

There are 8 people in the lift. Few are ladies and the rest are children. Each lady weighs 150 pounds. Each child weighs 50 pounds. The total weight of the 8 people is 800 pounds. Construct the system of linear equations and use elimination method to solve.

If the radius and height of a cylinder are in ratio 5 :7 and its volume is 550 cubic.cm, then find the radius?

Which of the following is true about the standard deviations of the two data sets in the table above?

Note:
We could also calculate the standard deviation for both the data sets
The formula for standard deviation is
$sigma equals square root of fraction numerator sum open parentheses x subscript i minus mu close parentheses squared over denominator N end fraction end root$
Where,
$sigma$ = standard deviation
$N$ = total number of terms
$x subscript i$ = terms given in the data
$mu$ = mean
After finding both the standard deviations, we can compare them. This is a tedious task and needs precision.

Which of the following is true about the standard deviations of the two data sets in the table above?

50 animals are there in a shed. Some of the animals have 2 legs and the rest of them have 4 legs. In total there are 172 legs. Frame the system of linear equations and use elimination method to solve .

The area of trapezium is 384 sq.cm. If its parallel sides are in the ratio 3:5 and the perpendicular distance between them 12cm. The smaller of the parallel side is

Maths-General

A Rectangular sheet of paper 44 cm x 18 cm is rolled along its length and a cylinder is formed. What is the volume of the cylinder so formed?

The difference between two parallel sides of a trapezium is 8cm. The perpendicular distance between them is 19cm while the area of trapezium is 760 sq.cm. What will be the lengths of the parallel sides.

Maths-General

A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7 cm. If the bowl is filled with soup to a height of 4 cm, how much soup the hospital has to prepare daily to serve 250 patients?

The sum of 3 consecutive natural numbers is 75. Find the numbers.

Find three consecutive even numbers whose sum is 312.