List of top Questions asked in CBSE Class VI

Consider the statement: Ratio of breadth and length of a hall is 2 : 5. Complete the following table that shows some possible breadths and lengths of the hall.
 
Breadth of the hall (in meters)10\(\square\)40
Length of the hall (in meters)2550\(\square\)
Divide 20 pens between Sheela and Sangeeta in the ratio of 3 : 2.
There are 102 teachers in a school of 3300 students. Find the ratio of the number of teachers to the number of students.
In a year, Seema earns ₹1,50,000 and saves ₹50,000. Find the ratio of
(a) Money that Seema earns to the money she saves.
(b) Money that she saves to the money she spends.
Fill in the following blanks:
\(\frac{15}{18}=\frac{\square}{6}=\frac{10}{\square}=\frac{\square}{30}\)  [Are these equivalent ratios?]
Distances travelled by Hamid and Akhtar in an hour are 9 km and 12 km. Find the ratio of speed of Hamid to the speed of Akhtar.
There are 20 girls and 15 boys in a class. 
(a) What is the ratio of number of girls to the number of boys?
(b) What is the ratio of number of girls to the total number of students in the class?
We already know the rule for the pattern of letters L, C and F. Some of the letters from give us the same rule as that given by L. Which are these? Why does this happen?

Find the rule which gives the number of matchsticks required to make the following matchstick patterns. Use a variable to write the rule. 

(a) A pattern of letter T as 

(b) A pattern of letter Z as Rationalised 2023-24 ALGEBRA 175 

(c) A pattern of letter U as 

(d) A pattern of letter V as 

(e) A pattern of letter E as 

(f) A pattern of letter S as 

(g) A pattern of letter A as

By splitting the following figures into rectangles, find their areas (The measures are given in centimetres).
A room is 4 m long and 3 m 50 cm wide. How many square metres of carpet is needed to cover the floor of the room?
A table-top measures 2 m by 1 m 50 cm. What is its area in square metres?
What is the cost of tiling a rectangular plot of land 500 m long and 200 m wide at the rate of Rs 8 per hundred sq m.?
The area of a rectangular garden 50 m long is 300 sq m. Find the width of the garden.
The length and breadth of three rectangles are as given below : (a) 9 m and 6 m (b) 17 m and 3 m (c) 4 m and 14 m Which one has the largest area and which one has the smallest?

Measure the angles given below, using the protractor and write down the measure

protractor and write down the measure

Write down the measure of:
(a) some acute angles
(b) some obtuse angles (give at least two examples of each)
Say True or False:
(a) The measure of an acute angle < 90.
(b) The measure of an obtuse angle < 90.
(c) The measure of a reflex angle > 180.
(d) The measure of on complete revolution = 360. 
(e) If m∠A = 53º and m∠B = 35º, then m∠A > m∠B. 
What is the measure of
(i) a right angle?
(ii) a straight angle? 

Match the following: 

(i) Straight angle (a) less than one-fourth a revolution 

(ii) Right angle (b) more than half a revolution 

(iii) Acute angle (c) half of a revolution 

(iv) Obtuse angle (d) one-fourth a revolution 

(v) Reflex angle 

(e) between \(\frac{1}{4}\) and \(\frac{1}{2}\) of a revolution 

(f) one complete revolution 

Where will the hour hand of a clock stop if it starts:
(a) from 6 and turns through 1 right angle?
(b) from 8 and turns through 2 right angles?
(c) from 10 and turns through 3 right angles?
(d) from 7 and turns through 2 straight angles? 
How many right angles do you make if you start facing:
(a) South and turn clockwise to west?
(b) North and turn anti-clockwise to east?
(c) West and turn to west?
(d) South and turn to north? 
Find the number of right angles turned through by the hour hand of a clock when it goes from:
(a) 3 to 6
(b) 2 to 8
(c) 5 to 11
(d) 10 to 1
(e) 12 to 9
(f) 12 to 6 

Which direction will you face if you start facing: 

Which direction will you face if you start facing

(a) East and make \(\frac{1}{2}\) of a revolution clockwise? 

(b) East and make \(\frac{11}{2}\) of a revolution clockwise? 

(c) West and makes \(\frac{3}{4}\) of a revolution, clockwise? 

(d) South and make one full revolution? 

(Should we specify clockwise or anti-clockwise for this last question? Why not?) 

What part of a revolution have you turned through if you stand facing: 

(a) East and turn clockwise to face north? 

(b) South and turn clockwise to face east? 

(c) West and turn clockwise to face east?