List of top Mathematics Questions asked in CBSE Class VIII

Describe how the two figures at the right are alike and how they are different. Which box has larger lateral surface area?

Find the side of a cube whose surface area is 600 cm².

There are two cuboidal boxes as shown in the adjoining figure. Which box requires the lesser amount of material to make?

Diagram of the adjacent picture frame has outer dimensions = 24 cm x 28 cm and inner dimensions 16 cm x 20 cm. Find the area of each section of the frame, if the width of each section is same.

There is a pentagonal shaped park as shown in the figure.

For finding its area Jyoti and Kavita divided it in two different ways. Find the area of this park using both ways. Can you suggest some other way of finding its area?

Find the least number which must be subtracted from each of the following numbers so as to get a perfect square. Also find the square root of the perfect square so obtained. 

1. 402 
2.  1989 
3.  3250 
4.  825 
5.  4000

Mohan wants to buy a trapezium shaped field. Its side along the river is parallel to and twice the side along the road. It the area of this field is 10500 m2 and the perpendicular distance between the two parallel sides is 100 m, find the length of the side along the river.

Find the square root of the following decimal numbers. 

1.  2.56 
2.  7.29 
3.  51.84 
4.  42.25 
5.  31.36

The floor of a building consists of 3000 tiles which are rhombus shaped and each of its diagonals are 45 cm and 30 cm in length. Find the total cost of polishing the floor, if the cost per m² is Rs 4.

Find the number of digits in the square root of each of the following numbers (without any calculation). 

1. 64 
2. 144 
3.  4489 
4.  27225
5.  390625

Find the square root of each of the following numbers by division method. 

1. 2304 
2. 4489 
3.  3481 
4.  529 
5.  3249 
6.  1369 
7.  5776 
8.  7921 
9.  576 
10.  1024 
11.  3136 
12.  900

Find the area of a rhombus whose side is 6 cm and whose altitude is 4 cm. If one of its diagonals is 8 cm long, find the length of the other diagonal.

The diagonal of a quadrilateral shaped field is 24 m and the perpendiculars dropped on it from the remaining opposite vertices are 8 m and 13 m. Find the area of the field.

Find the least number which must be added to each of the following numbers so as to get a perfect square. Also find the square root of the perfect square so obtained. 

1. 525 
2.  1750 
3.  252 
4.  1825
5.  6412

Length of the fence of a trapezium shaped field ABCD is 120 m. If BC = 48 m, CD = 17 m and AD = 40 m, find the area of this field. Side AB is perpendicular to the parallel sides AD and BC.

In a right triangle ABC, \(∠ B\) = 90°. 

1. If AB = 6 cm, BC = 8 cm, find AC 
2.  If AC = 13 cm, BC = 5 cm, find AB

A gardener has \(1000\) plants. He wants to plant these in such a way that the number of rows and the number of columns remain same. Find the minimum number of plants he needs more for this.

The shape of the top surface of a table is a trapezium. Find its area if its parallel sides are 1 m and 1.2 m and perpendicular distance between them is 0.8 m.

These are \(500\) children in a school. For a P.T. drill they have to stand in such a manner that the number of rows is equal to number of columns. How many children would be left out in this arrangement?

Which of the following numbers are not perfect cubes: 

1. 216 
2. 128 
3.  1000 
4.  100 
5.  46656

Find the smallest number by which each of the following numbers must be multiplied to obtain a perfect cube:

1. 243
2. 256
3.  72
4.  675
5.  100

Parikshit makes a cuboid of plasticine of sides \(5\) \(cm\), \(2\) \(cm\), \(5\) \(cm.\) How many such cuboids will he need to form a cube?

Find the square roots of the following numbers by the Prime Factorisation Method. 

1. 729 
2. 400 
3.  1764 
4.  4096 
5.  7744 
6.  9604 
7.  5929 
8.  9216 
9.  529 
10.  8100

Find the smallest square number that is divisible by each of the numbers \(8, 15\), and \(20\).

Find the smallest square number that is divisible by each of the numbers \(4, 9\), and \(10\).