List of top Questions asked in CBSE Class VI

Oranges are to be transferred from larger boxes into smaller boxes. When a large box is emptied, the oranges from it fill two smaller boxes and still 10 oranges remain outside. If the number of oranges in a small box are taken to be , x what is the number of oranges in the larger box?

Mother has made laddus. She gives some laddus to guests and family members; still 5 laddus remain. If the number of laddus mother gave away is , \(l\) how many laddus did she make?

Leela is Radha’s younger sister. Leela is 4 years younger than Radha. Can you write Leela’s age in terms of Radha’s age? Take Radha’s age to be x years.

A bird flies 1 kilometer in one minute. Can you express the distance covered by the bird in terms of its flying time in minutes? (Use t for flying time in minutes)

Name each polygon: 

Make two more examples of each of these.

Find answers to the following. Write and indicate how you solved them. 

1.  Is \(\frac{5}{9}\) equal to \(\frac{4}{5}\) ? 
2.  Is \(\frac{9}{ 16}\) equal to \(\frac{5}{9}\) ? 
3.  Is \(\frac{4}{5}\) equal to \(\frac{16}{20}\) ? 
4.  Is \(\frac{1}{15}\) equal to \(\frac{4}{30}\) ?

Ila read 25 pages of a book containing 100 pages. Lalita read \(\frac{2}{5}\) of the same book. Who read less?

Examine whether the following are polygons. If anyone among these is not, say why?

Rafiq exercised for \(\frac{3}{6}\) of an hour, while Rohit exercised for \(\frac{3}{4}\) of an hour. Who exercised for a longer time?

In a class A of 25 students, 20 passed with 60% or more marks; in another class B of 30 students, 24 passed with 60% or more marks. In which class was a greater fraction of students getting with 60% or more marks?

A figure is said to be regular if its sides are equal in length and angles are equal in measure. Can you identify the regular quadrilateral?

Give reasons for the following:
(a) A square can be thought of as a special rectangle.
(b) A rectangle can be thought of as a special parallelogram.
(c) A square can be thought of as a special rhombus.
(d) Squares, rectangles, parallelograms are all quadrilateral.
(e) Square is also a parallelogram. 

Say true or false: 
(a) Each angle of a rectangle is a right angle. 
(b) The opposite sides of a rectangle are equal in length. 
(c) The diagonals of a square are perpendicular to one another. 
(d) All the sides of a rhombus are of equal length. 
(e) All the sides of a parallelogram are of equal length. 
(f) The opposite sides of a trapezium are parallel. 

Match the equivalent fractions and write two more for each. (i) \(\frac{250}{400}\) (ii) \(\frac{180}{400}\) (iii) \(\frac{660}{990}\) (iv) \(\frac{180}{360}\) (v) \(\frac{220}{520}\) (a)\(\frac{2}{3}\) (b)\(\frac{2}{5}\) (c)\(\frac{1}{2}\) (d)\(\frac{5}{8}\) (e) \(\frac{9}{10}\)

Try to construct triangles using match sticks. Some are shown here. Can you make a triangle with: 
(a) 3 matchsticks? 
(b) 4 matchsticks? 
(c) 5 matchsticks? 
(d) 6 matchsticks? (Remember you have to use all the available matchsticks in each case) If you cannot make a triangle, think of reasons for it. 

Ramesh had 20 pencils, Sheelu had 50 pencils and Jamaal had 80 pencils. After 4 months, Ramesh used up 10 pencils, Sheelu used up 25 pencils and Jamaal used up 40 pencils. What fraction did each use up? Check if each has used up an equal fraction of her/his pencils?

Reduce the following fractions to simplest form :

1. \(\frac{48}{60}\) 
2. \(\frac{150}{60}\) 
3.  \(\frac{84}{98}\) 
4.  \(\frac{12}{52}\) 
5.  \(\frac{7}{28}\)

Check whether the given fractions are equivalent : (a) \(\frac{5}{9}\), \(\frac{30}{54}\) , (b) \(\frac{3}{10}\), \(\frac{12}{50}\) , (c) \(\frac{7}{13}\), \(\frac{5}{11}\)

Find the equivalent fraction of \(\frac{36}{48}\) with 

1. numerator 9 
2. denominator 4

Name each of the following triangles in two different ways: (You may judge the nature of angle by observation)

Find the equivalent fraction of \(\frac{3}{5}\) having 

1. denominator 20 
2.  numerator 9 
3.  denominator 30 
4.  numerator 27

Replace * in each of the following by the correct number : 

1. \(\frac{2}{7} = \frac{8}{*}\)
2. \(\frac{5}{8} =\frac{10}{*}\)
3. \(\frac{3}{5} =\frac{*}{20}\)
4. \(\frac{45}{ 60}= \frac{15}{*}\)
5. \(\frac{18}{24} =\frac{*}{4}\)

Write the fractions and match fractions in column I with the equivalent fractions in column II.

Match the following: 

Measure of Triangle		Types of Triangle
(i)	3 sides of equal length	(a)	Scalene
(ii)	2 sides of equal length	(b)	Isosceles right angle
(iii)	All sides are of different length	(c)	Obtuse angle
(iv)	3 acute angles	(d)	Right angle
(v)	1 right angle	(e)	Equilateral
(vi)	1 obtuse angle	(f)	Acute angle
(vii)	1 right angle with two sides of equal length	(g)	Isosceles

There are two “set-squares” in your box. What are the measures of the angles that are formed at their corners? Do they have any angle measure that is common?