## Sample Paper for Class 6 Mathematics Pdf

Students can refer to the below **Class 6 Mathematics Sample Paper** designed to help students understand the pattern of questions that will be asked in Grade 6 exams. Please **download CBSE Class 6 Mathematics Sample Paper Set Z**

### Mathematics Class 6 Sample Paper

CBSE Class 6 Mathematics Sample Paper Set Z.Sample Papers are the very important for every student. The sample papers should be practiced to gain extra marks in examinations. The sample papers have been prepared based on summative assessment1 and summative assessment 2 pattern. The sample papers have been prepared based on pattern of last year examinations and as per latest changes in the syllabus. Students, teachers and parents can download all CBSE educational material and very well prepared worksheets from this website. All CBSE educational material is developed by our panel of teachers, have also been submitted by CBSE teachers and students.

**SECTION -- A**

Q.1. The angle by which the hour hand of a clock turns through when the minute hand goes from 12 pm to 6 pm , is :

(a) 15 (b) 180 (c) 60 (d) 90

Q.2. The solution of the equation 3x + 4 = 1 is :

(a) 1 (b) 0 (c) -1 (d) 2

Q.3. Which ratio is the greatest ?

(a) 2 : 7 (b) 3 : 7 (c) 5 : 7 (d) 6 : 7

Q.4. Number of right angles turned through if you are facing south and turn anti-clockwise to face west is

(a) 1 rightangle (b) 2 rightangles (c) 3 rightangles (d) 4 rightangles

Q.5. If the area of a square is 36 sq.cm , then its perimeter is :

(a) 24 cm (b) 6 cm (c) 144 cm (d) 36 cm

Q.6. If a ribbon of length 64 cm is stitched around a triangular table cloth along its boundary having two of the sides as 24cm and 30cm then third side is

(a) 64 cm (b) 10 cm (c) 4 cm (d) 256 cm

Q.7. The ratio of Rs 5 to 550 paise :

(a) 5 : 550 (b) 11 : 10 (c) 10 : 11 (d) 1 : 110

Q.8. If there are x chairs in a row , then the number of students that can be seated in 7 rows are :

(a) x + 7 (b) 7x (c) x/7 (d) x – 7

**SECTION - B**

Q.9. In each of the following statement write true or false .

(a) One pair of opposite sides of a trapezium is parallel.

(b) Every right angled triangle is scalene .

(c) All isosceles triangles are obtuse .

(d) Every rectangle is a parallelogram .

Q10. For the given bar graph , answer the following :

(a) Which is the highest mountain ?

(b) Which mountain has height less than 6000 m ?

Q.11. In a competition , 35 students appeared in an examination . Only 20 students passed the examination . What is the ratio of

(a) passed students to the failed students

(b) failed students to the total student

Q.12. Find the area of given figure .

Q.13. A car traveling at x km per hour is going from A to B . After the car has travelled

for 6 hours, B is still 100 km away What is the distance from A to B in terms of ‘x’

Q.14. Draw a line segment of length 7 cm . Construct its perpendicular bisector .

**SECTION - C**

Q.15. (a) Verify whether D is the midpoint of AG ( 2 marks )

(b)What fraction of a revolution clockwise does the hour hand of a clock turn

through when it goes from 2 to 5

Q.16. Write the expression of the following :

(a) If Radha’s present age is x years then what will be her age after 7 years .

(b) 5 times y from which 8 is subtracted

(c) If the cost of one pen is Rs 7, find the cost of ‘x’ pens .

Q.17. Determine whether the following ratio form a proportion or not .

1 litre : 250 ml and 500 gm : 2 kg

Q.18. Construct a circle whose diameter AB is 8 cm ,using the concept of perpendicular bisector . Draw a chord CD .

Q.19. Find the distance travelled by Anu , if she takes 5 rounds of a rectangular park of length 125 m and breadth 75 m .

Q.20. Name the types of following triangles :

(a) Triangle with lengths of sides 7 cm , 5 cm and 10 cm

(b) Triangle PQR with PQ = PR = QR

(c) Triangle DEF whose one angle measures 105

Q.21. Construct angles of measure (a) 30 (b) 75 .

Q.22. (a) What will be the length of each side if the string of length 24 cm is used to form an equilateral triangle . ( 2 marks)

(b) Find the area of square of side 5 cm . ( 1 mark )

Q.23. Pick out the solution from the values given in the bracket and also show that the other values do not satisfy the equation : 2 y – 3 = 5 ( 3 , 4 , 5 )

Q.24. Total number of animals in five villages are as follows ;

Village Number of animals

A 60

B 100

C 70

D 50

E 40

**SECTION - D**

Q.25. Anish made 42 runs in 6 overs and Anup made 63 runs in 7 overs . How many runs per over were made by Anish and Anup .Who made more runs per over. What is the ratio of runs scored by Anish and Anup per over .

Q.26. Constuct an angle ABC = 90 and construct its angle bisector .

Q.27. (a) Draw a line segment AB of length 7cm and CD of length 5 cm . Draw another line segment XY of length equal to the length AB + CD .

(b) Given a line AB and a point P outside the line . Construct a perpendicular on AB from point P .

Q.28. (a) How many diagonals does a quadrilateral have ?

(b) A rhombus is a special kind of square . ( true or false )

(c) A cuboid is an an example of prism . ( true or false )

(d) How many edges does a triangular pyramid has ?

Q.29. (a) Which of the following is an equations and identify the variable .

(i) 13 + y = 6

(ii) y – 3 < 5

(b)Write the statement for the following algebraic expressions

(i) x + 3 (ii) 2y – 3

Q.30. (a) A rectangle has a perimeter of 24 cm .Find the length of the rectangle if the breadth is 5 cm .

(b) Find the cost of leveling a ground at the rate of Rs 12 per square metre if it is 45 m long and 30 m wide .

Q31. Divide Rs 12,000 amongst Sam , Tony and Nikhil in the ratio 5: 2 :3

Q.32. The following table gives the number students in a school during academic years

Academic year 1996-97 1997-98 1998-99 1999-2000 2000-2001

No of students 500 850 1000 1200 1600

Represent the above data by a bar graph .

Prepare a pictograph of these animals using asymbol to represent 10 animals .

Q.33. How many square tiles of side 50 cm will be required to pave the floor of a rectangular room of length 4.2 m and breadth 2.5 m .Find the total cost if the cost of one tile is Rs 52 .

Q.34. In a mathematics test the following marks were obtained by 25 students. Arrange these marks in a table using tally marks:-

8,4,5,6,2,5,6,7,8,9,4,5,3,7,7,9 6 6,6,8,5,4,9,4,5

(a) Find how many students obtained mark less than 8 but greater than 5

(b) How many students obtained marks below 4

(c) How many students obtained marks above 7

**Please click the below link to access CBSE Class 6 Mathematics Sample Paper Set Z.**