List of top Mathematics Questions

In each of the following pairs of numbers, state which whole number is on the left of the other number on the number line. Also write them with the appropriate sign (>, <) between them.
(a) 530, 503 (b) 370, 307 (c) 98765, 56789 (d) 9830415, 10023001

Write the predecessor of :
(a) 94 (b) 10000 (c) 208090 (d) 7654321

Write the successor of :
(a) 2440701
(b) 100199
(c) 1099999
(d) 2345670

How many whole numbers are there between 32 and 53?

Which is the smallest whole number?

Write the three whole numbers occurring just before 10001.

Write the next three natural numbers after 10999.

Give (i) an oblique sketch and (ii) an isometric sketch for each of the following:
(a) A cuboid of dimensions 5 cm, 3 cm and 2 cm. (Is your sketch unique?)
(b) A cube with an edge 4 cm long.
An isometric sheet is attached at the end of the book. You could try to make on it some cubes or cuboids of dimensions specified by your friend.
Three cubes each with a 2 cm edge are placed side by side to form a cuboid. Sketch an oblique or isometric sketch of this cuboid.
Match the nets with appropriate solids:
solids
Use isometric dot paper and make an isometric sketch for each one of the given shapes:
isometric sketch
Here is an incomplete net for making a cube. Complete it in at least two different ways. Remember that a cube has six faces. How many are there in the net here? (Give two separate diagrams. If you like, you may use a squared sheet for easy manipulation.)
cube has six faces
Dice are cubes with dots on each face. Opposite faces of a die always have a total of seven dots on them. Here are two nets to make dice (cubes); the numbers inserted in each square indicate the number of dots in that box.
Insert suitable numbers in the blanks, remembering that the number on the opposite faces should total to 7.
Identify the nets which can be used to make cubes (cut out copies of the nets and try it):
The distance between the school and a student’s house is 1 km 875 m. Everyday she walks both ways. Find the total distance covered by her in six days.
Avneet buys \(9\) square paving slabs, each with a side of \(\frac{1}{ 2}\) m. He lays them in the form of a square. 
square paving slabs
  1. What is the perimeter of his arrangement 
  2.  Shari does not like his arrangement. She gets him to lay them out like a cross. What is the perimeter of her arrangement ? 
  3.  Which has greater perimeter? 
  4.  Avneet wonders if there is a way of getting an even greater perimeter. Can you find a way of doing this? (The paving slabs must meet along complete edges i.e. they cannot be broken.)
To stitch a shirt, 2 m 15 cm cloth is needed. Out of 40 m cloth, how many shirts can be stitched and how much cloth will remain?
A merchant had ₹78,592 with her. She placed an order for purchasing 40 radio sets at ₹1200 each. How much money will remain with her after the purchase?
A machine, on an average, manufactures 2,825 screws a day. How many screws did it produce in the month of January 2006?
Kirti bookstore sold books worth ₹2,85,891 in the first week of June and books worth ₹4,00,768 in the second week of the month. How much was the sale for the two weeks together? In which week was the sale greater and by how much?
Shekhar is a famous cricket player. He has so far scored 6980 runs in test matches. He wishes to complete 10,000 runs. How many more runs does he need?
Fill in the blanks:
(a) 1 lakh = _______ ten thousand.
(b) 1 million = _______ hundred thousand.
(c) 1 crore = _______ ten lakh.
(d) 1 crore = _______ million.
(e) 1 million = _______ lakh.
Find a particular solution satisfying the given condition: \(\frac {dy}{dx}+2y\ tan\ x=sin\ x;\ y=0\  when \ x=\frac \pi3\)

Find general solution: \((x+3y^2) \frac {dy}{dx} = y,\  (y>0)\) 

Find the direction in which a straight line must be drawn through the point (-1, 2) so that its point of intersection with the line x + y = 4 may be at a distance of 3 units from this point