List of top Mathematics Questions

A farmer has enough food to feed 20 animals in his cattle for 6 days. How long would the food last if there were 10 more animals in his cattle?

In a Television game show, the prize money of Rs 1,00,000 is to be divided equally amongst the winners. Complete the following table and find whether the prize money given to an individual winner is directly or inversely proportional to the number of winners?
 

Number of winners	1	2	4	5	8	10	20
Prize for each winner (in Rs)	100000	50000	…	…	…	…	…

Shazli took a wire of length 44 cm and bent it into the shape of a circle. Find the radius of that circle. Also find its area. If the same wire is bent into the shape of a square, what will be the length of each of its sides? Which figure encloses more area, the circle or the square? (Take \(\pi\) = \(\frac{22}{ 7}\) )

Find the perimeter of the adjoining figure, which is a semicircle including its diameter.

Which of the following are in inverse proportion? 
(i) The number of workers on a job and the time to complete the job. 
(ii) The time taken for a journey and the distance travelled in a uniform speed.
(iii) Area of cultivated land and the crop harvested. 
(iv) The time taken for a fixed journey and the speed of the vehicle. 
(v) The population of a country and the area of land per person.

Saima wants to put a lace on the edge of a circular table cover of diameter 1.5 m. Find the length of the lace required and also find its cost if one meter of the lace costs Rs 15. (Take \(\pi\) = 3.14)

From a circular sheet of radius 4 cm, a circle of radius 3 cm is removed. Find the area of the remaining sheet. (Take \(\pi\) = 3.14)

A gardener wants to fence a circular garden of diameter 21m. Find the length of the rope he needs to purchase, if he makes 2 rounds of fence. Also find the cost of the rope, if it costs RS 4 per meter. (Take \(\pi\) = \(\frac{22}{7}\) )

If the circumference of a circular sheet is 154 m, find its radius. Also find the area of the sheet. (Take \(\pi\) = \(\frac{22}{7}\) )

From a circular card sheet of radius 14 cm, two circles of radius 3.5 cm and a rectangle of length 3 cm and breadth 1cm are removed. (as shown in the adjoining figure). Find the area of the remaining sheet. (Take \(\pi\) = \(\frac{22}{ 7}\) )

A circle of radius 2 cm is cut out from a square piece of an aluminium sheet of side 6 cm. What is the area of the left over aluminium sheet? (Take \(\pi\)= 3.14)

The circumference of a circle is 31.4 cm. Find the radius and the area of the circle? (Take \(\pi\) = 3.14)

A circular flower bed is surrounded by a path 4 m wide. The diameter of the flower bed is 66 m. What is the area of this path? (\(\pi\) = 3.14)

Rashmi has a road map with a scale of 1 cm representing 18 km. She drives on a road for 72 km. What would be her distance covered in the map?

A circular flower garden has an area of 314 \(m^2\) . A sprinkler at the centre of the garden can cover an area that has a radius of 12 \(m\). Will the sprinkler water the entire garden? (Take \(\pi\) = 3.14)

Find the circumference of the inner and the outer circles, shown in the adjoining figure? (Take \(\pi\) = 3.14)

How many times a wheel of radius 28 cm must rotate to go 352 m? (Take \(\pi\) = \(\frac{22}{7}\))

The minute hand of a circular clock is 15 cm long. How far does the tip of the minute hand move in 1 hour. (Take \(\pi\) = 3.14)

Find the area of the following circles, given that: 

1.  radius = 14 mm (Take \(\pi\) = \(\frac{22}{7}\) ) 
2.  diameter = 49 m 
3.  radius = 5 cm

Find the circumference of the circles with the following radius: (Take \(\pi\) = \(\frac{22}{7}\) ) 

1.  14 cm 
2.  28 mm 
3.  21 cm

In a model of a ship, the mast is 9 cm high, while the mast of the actual ship is 12 m high. If the length of the ship is 28 m, how long is the model ship?

PQRS is a parallelogram (see the given figure). QM is the height from Q to SR and QN is the height from Q to PS. If SR = \(12\) cm and QM = \(7.6\) cm. Find: 

1. the area of the parallelogram PQRS 
2.  QN, if PS = 8 cm

A photograph of a bacteria enlarged 50,000 times attains a length of 5 cm. What is the actual length of the bacteria? If the photograph is enlarged 20,000 times only, what would be its enlarged length?

Find the missing values:

Base	Height	Area of triangle
15 cm	-	87 \(cm^2\)
-	31.4 mm	1256 \(mm^2\)
22 cm	-	170.5 \(cm^2\)

A machine in a soft drink factory fills 840 bottles in six hours. How many bottles will it fill in five hours?