List of top Mathematics Questions asked in CBSE Class VI

Which factors are not included in the prime factorisation of a composite number?

Express the following as the sum of two odd primes.

1. 44
2. 36
3. 24
4. 18

A book exhibition was held for four days in a school. The number of tickets sold at the counter on the first, second, third and final day was respectively 1094, 1812, 2050 and 2751. Find the total number of tickets sold on all the four days.

Using divisibility tests, determine which of the following numbers are divisible by 4; by 8:

1. 572
2. 726352
3. 5500
4. 6000
5. 12159
6. 14560
7. 21084
8. 31795072
9. 1700
10. 2150

Find the sum of :
(a) 137 and – 354
(b) – 52 and 52
(c) – 312, 39 and 192
(d) – 50, – 200 and 300

The length, breadth and height of a room are 825 cm, 675 cm and 450 cm respectively. Find the longest tape which can measure the three dimensions of the room exactly.

Write shaded portion as fraction. Arrange them in ascending and descending order using correct sign ‘<’, ‘=’, ‘>’ between the fractions:

Express as km using decimals.
(a) 8 m
(b) 88 m
(c) 8888 m
(d) 70 km 5 m

See the figure and find the ratio of
(a) Number of triangles to the number of circles inside the rectangle.
(b) Number of squares to all the figures inside the rectangle.
(c) Number of circles to all the figures inside the rectangle.

Sweety runs around a square park of side 75 m. Bulbul runs around a rectangular park with length 60 m and breadth 45 m. Who covers less distance?

Five square flower beds each of sides 1 m are dug on a piece of land 5 m long and 4 m wide. What is the area of the remaining part of the land?

Find the areas of the squares whose sides are : (a) 10 cm (b) 14 cm (c) 5 m.

Find the areas of the rectangles whose sides are : (a) 3 cm and 4 cm (b) 12 m and 21 m (c) 2 km and 3 km (d) 2 m and 70 cm

The perimeter of a regular pentagon is 100 cm. How long is its each side?

Write the fractions. Are all these fractions equivalent?

Renu purchases two bags of fertiliser of weights 75 kg and 69 kg. Find the maximum value of weight which can measure the weight of the fertiliser exact number of times.

Find the ratio of the following:
(a) 81 to 108
(b) 98 to 63
(c) 33 km to 121 km
(d) 30 minutes to 45 minutes

Find the areas of the following figures by counting square:

Out of 30 students in a class, 6 like football, 12 like cricket and remaining like tennis. Find the ratio of 
(a) Number of students liking football to number of students liking tennis. 
(b) Number of students liking cricket to total number of students.

Cost of a dozen pens is ₹ 180 and cost of 8 ball pens is ₹ 56. Find the ratio of the cost of a pen to the cost of a ball pen.

A diagonal is a line segment that joins any two vertices of the polygon and is not a side of the polygon. Draw a rough sketch of a pentagon and draw its diagonals.

A floor is 5 m long and 4 m wide. A square carpet of sides 3 m is laid on the floor. Find the area of the floor that is not carpeted.

Radhika’s mother gave her ₹ 10.50 and her father gave her ₹ 15.80, find the total amount given to Radhika by the parents.

Raju bought a book for ₹ 35.65. He gave ₹ 50 to the shopkeeper. How much money did he get back from the shopkeeper?

Look at the figures and write ‘<’ or ‘>’, ‘=’ between the given pairs of fractions.

1. \(\frac{1}{6} [  ]\frac{1}{3}\)
2. \(\frac{3}{4} [  ]\frac{ 2}{6}\)
3. \(\frac{2}{3} [  ] \frac{2}{4}\)
4. \(\frac{6}{6} [  ] \frac{3}{3}\)
5. \(\frac{5}{6} [  ] \frac{5}{5}\)
   Make five more such problems yourself and solve them with your friends.