List of top Questions asked in CBSE Class VI

Add without using number line :
(a) 11 + (– 7)
(b) (– 13) + (+ 18)
(c) (– 10) + (+ 19)
(d) (– 250) + (+ 150)
(e) (– 380) + (– 270)
(f) (– 217) + (– 100)

Name the types of following triangles: 
(a) Triangle with lengths of sides 7 cm, 8 cm and 9 cm.
(b) \(∆ABC\) with AB = 8.7 cm, AC = 7 cm and BC = 6 cm. 
(c) \(∆PQR\) such that PQ = QR = PR = 5 cm. 
(d) \( ∆DEF\) with m\(∠\) D = 90° 
(e) \(∆XYZ\) with m \(∠\)Y = 90° and XY = YZ. 
(f) \(∆LMN\) with m \(∠\)L = 30°, m \(∠\)M = 70° and m \(∠\)N = 80°.

The numbers 13 and 31 are prime numbers. Both these numbers have same digits 1 and 3. Find such pairs of prime numbers upto 100.

Investigate: 
In the given figure, the angle measure 30º. Look at the same figure through a magnifying glass. Does the angle become larger? Does the size of the angle change?

Find the measure of the angle shown in each figure. (First estimate with your eyes and then find the actual measure with a protractor).

The sum of two consecutive odd numbers is divisible by 4. Verify this statement with the help of some examples.

Measure and classify each angle:

Angle	Measure	Type
\(∠AOB\)
\(∠AOC\)
\(∠BOC\)
\(∠DOC \)
\(∠DOA\)
\(∠DOB\)

Write all the integers between the given pairs (write them in the increasing order.)
(a) 0 and – 7
(b) – 4 and 4
(c) – 8 and – 15
(d) – 30 and – 23

What is the HCF of two consecutive
1. numbers?
2. even numbers?
3. odd numbers?

Draw a rough sketch of a regular hexagon. Connecting any three of its vertices, draw a triangle. Identify the type of the triangle you have drawn.

Identify the error, if any.

Write True (T) or False (F) against each of the following statements:
(a) 16: 24: 20: 30
(b) 21: 6: 35: 10
(c) 12: 18: 28: 12
(d) 8: 9: 24: 27
(e) 5.2: 3.9: 3: 4
(f) 0.9: 0.36: 10: 4

If B is the mid-point of AC and C is the mid-point of BD, where A, B, C, D lie on a straight line, say why AB = CD?

Write down separately the prime and composite numbers less than 20.

Three tankers contain 403 litres, 434 litres and 465 litres of diesel respectively. Find the maximum capacity of a container that can measure the diesel of the three containers exact number of times.

A number is divisible by both 5 and 12. By which other number will that number be always divisible?

Study the diagram. The line l is perpendicular to line. m 
(a) Is CE = EG? 
(b) Does PE bisect CG? 
(c) Identify any two-line segments for which PE is the perpendicular bisector. 
(d) Are these true? 
(i) AC \(>\) FG 
(ii) CD = GH 
(iii) BC \(<\) EH 

Write all the factors of the following numbers:

1. 24
2. 15
3. 21
4. 27
5. 12
6. 20
7. 18
8. 23
9. 36

Insert commas suitably and write the names according to International System of Numeration : 
(a) 78921092 
(b) 7452283 
(c) 99985102 
(d) 48049831

Find the angle measure between the hands of the clock in each figure:

Determine if the following are in proportion.
(a) 15, 45, 40, 120
(b) 33, 121, 9,96
(c) 24, 28, 36, 48
(d) 32, 48, 70, 210
(e) 4, 6, 8, 12
(f) 33, 44, 75, 100

Write the smallest 5-digit number and express it in the form of its prime factors.