List of top Mathematics Questions asked in CBSE Class VI

18 is divisible by both 2 and 3. It is also divisible by 2 × 3 = 6. Similarly, a number is divisible by both 4 and 6. Can we say that the number must also be divisible by 4 × 6 = 24? If not, give an example to justify your answer.
In which of the following expressions, prime factorisation has been done?

Find the common factors of :

1) 4, 8 and 12

2) 5, 15 and 25

Find the common factors of:

1) 20 and 28

2) 15 and 25

3) 35 and 50

4) 56 and 120

Write a digit in the blank space of each of the following numbers so that the number formed is divisible by 11:

1) 92 __ 389

2) 8 __ 9484

Write the smallest digit and the greatest digit in the blank space of each of the following numbers so that the number formed is divisible by 3 :
1.  __ 6724
2.  4765 __ 2

Which is the smallest whole number?

Write the three whole numbers occurring just before 10001.

Write the next three natural numbers after 10999.

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?
Medicine is packed in boxes, each weighing 4 kg 500g. How many such boxes can be loaded in a van which cannot carry beyond 800 kg?
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 the cost of fencing a rectangular park of length 175 m and breadth 125 m at the rate of Rs 12 per metre.
Using divisibility tests, determine which of the following numbers are divisible by 11:
  1. 5445
  2. 10824
  3. 7138965
  4. 70169308
  5. 10000001
  6. 901153
Using divisibility tests, determine which of following numbers are divisible by 6:
  1. 297144
  2. 1258
  3. 4335
  4. 61233
  5. 901352
  6. 438750
  7. 1790184
  8. 12583
  9. 639210
  10. 17852
Fill in the blanks :
  1. A number which has only two factors is called a _____.
  2. A number which has more than two factors is called a _____.
  3. 1 is neither _____ nor _____.
  4. The smallest prime number is _____.
  5. The smallest composite number is ____.
  6. The smallest even number is _____.
Write five pairs of prime numbers less than 20 whose sum is divisible by 5.
Express each of the following numbers as the sum of three odd primes:
  1. 21
  2. 31
  3. 53
  4. 61
Which of the following numbers are prime?