Kendriya Vidyalaya Sangathan- Chandigrah RegionSample Paper-I

Half Yearly Examination, 2008-09Subject: Mathematics

Class: VI

Time Allowed : 2½Hours Max: Marks: 100

General Instructions:i) Question 1 carry 10 questions of 1marks each.ii) Question 2 to 11 carry 2 Marks each.iii) Question 12 to 21 carry 4 marks each.iv) Question 22 to 26 carry 6 marks each.v) All questions are compulsory.

SECTION –A

Q1. a) 1 lakh is equal to ……………. Ten thousand. b) Which is the smallest whole Number? c) Write the successor of 10999. d) Find the sum of -32 and 32. e) Express 7⅔ as a mixed fraction. f) Express 35/8 as an improper fraction. g) Find the area of rectangle whose dimensions are 10m and 15m. h) Area of a square = __________________ i) Show that 1m² = 10000cm² j) A triangle whose three sides are equal is called an __________

SECTION -B

Q2. Find the sum by suitable rearrangement: 837+208+363

Q3. Find the common factor of : 4,8,12

Q4. Represent (-5) +10 on Number line.

Q5. Solve: ⅜ - ⅓ Q6. Write the following as a decimal. 23+2/10+6/100Q7. Find the side of the square whose perimeter is 20m Q8. Using divisibility test find if 12573 is divisible by 3 or not.Q9. Match the following.

i) Straight angle (a) less than one-fourth a revolution ii) Right angle (b) Half of a revolution iii) Acute angle (c) One-fourth a revolution

Q10. From the figure identify.

a) The centre of circle.

A

O

C

B

b) A diameter.

Q11. Find the angle measure between the hands of the clock in given figures.

3

12

6

9

6.00pm

39

12

69pm

SECTION-C

Q12. Ramesh purchased 4 kg 90g apples, 2 kg 60g grapes and 5 kg 300 mangoes. Find the total weight of his purchases.

Q13. The distance between the school and house of a student is 1 km 875m. Everyday she walks both ways between her school and home. Find the total distance covered by her in six days.

Q14. A cuboid has:a) ………………. faces.b) ………………. edges.c) ………………. vertices.d)

Q15. Find the value of: 54279 x 92 + 8 x 54279

Q16. Find the HCF of: 70,105,175

Q17. The town newspaper is published everyday. One copy has 12 pages. Everyday11980 copies are printed. How many total pages are printed for all copies? Q18. Find the value of 280.69 + 25.2 +38.

Q19. Write the prime factorization of 980.

Q20. Find the distance traveled by Shania if she takes three rounds of a square park of side 70m. Q21. In a math’s test the marks obtained by 30 students are given below. Arrange the marks in a Table using tally marks.

8 1 3 7 6 5 5 4 4 24 9 5 3 7 1 6 5 2 5

7 3 8 4 2 8 9 5 8 6

SECTION-DQ22. Find the value of

a) (37)+(-2)+(-65)+8b) (-10)+(92)+84+(-15)

Q23. Find the least number which when divided by 12, 16, 24 and 36 leaves a remainder 7 in each case.

Q24. How many titles with dimension 5cm & 12cm will be needed to fit in a region whose length and breadth is 70cm & 144cm?

Q25.The number of mathematics books cold by a shopkeeper on six consecutive days is shown below:

Days Sunday Monday Tuesday Wednesday Thursday FridayNumber of books sold

65 40 30 50 20 70

Draw a bar graph to represent the above information choosing the scale of your choice.

Q26. A floor is 5m long and 4m wide. A square carpet of side 3m is laid on the floor. Find the area of the floor that is not carpeted. ORPankaj runs around a square park of side 75m, Monika runs around a rectangular park with length 160m and breadth 105m. Who covers more distance and by how much?

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Kendriya Vidyalaya Sangathan- Chandigrah RegionSample Paper-II

Half Yearly Examination, 2008-09Subject: Mathematics

Class: VITime Allowed: 2½Hours Max: Marks: 100 General Instructions:i) Question 1 carry 10 questions of 1 mark each.ii) Question 2 to 11 carry 2 Marks each.iii) Question 12 to 21 carry 4 marks each.iv) Question 22 to 26 carry 6marks each.v) All questions are compulsory.

SECTION –A

Q1. a). Write the successor of 699. ……… b). Write 69 in Roman Numerals. c). Write all the factors of 12. d). Write the simplest form of : 15/75 e). Express as metres using decimals: 136cm. f). Subtract : (-15) – (-18) g). Express the following a mixed fraction: 27/5. h). Show that 1m² = 10000cm² i). Find the area of the square whose side is 14cm. j). A triangle whose two sides are equal is called a ……………………..

SECTION-B

Q2. Find the sum by suitable rearrangement: 1962+453+1538+647 Q3. Find the common factor of : 75,60,210

Q4. Simplify: 3⅓ - 1⅓.

Q5. Solve : ⅜ - ⅓ Q6. Write the following as a decimal. 20+9+4∕10+1∕100 Q7. A table measures 2m, 25cm by 1m 50cm. What is the perimeter of the top of the Table?Q8. A piece of wire 7/8 m long broke into two pieces. One piece was ¼ m long .What is the length of other piece ?Q9. Write the smallest five digit number and express it in the form of its prime Fractionation.Q10. Draw any circle and mark.

(a) A radius (b) a sector(c) a pt. in its interior

Q11. Nasreen bought 3m 20cm cloth for her shirt. and 2m 5cm for her trousers. Find the Total length of cloth bought by her.

SECTION-CQ12. Rahim purchased 5kg 400g rice , 2kg 20g sugar and 10kg 850g atta. Find the total weight of his purchases. Q13. Medicine is packed in boxes ,each weighing 4kg 500g .How much such boxes can be loaded in van which cannot carry beyond 800kg. Q14. A cube has:

e) ……………… faces.f) ………………. Edges.g) ………………. Vertices.

Q15. Find the value of: 297 x 17 + 297 x 3

Q16. Find the HCF of 91, 112, 49

Q17. Javed was given 5/7 of a basket of oranges. What fraction of orange was left in the Basket ? Q18. Find the value of 25.65+9.005+3.7

Q19. Write the prime factorization of 15470. Q20. Two sides of a triangle are 12cm & 14cm. The perimeter of the triangle is 36cm. What is the third side?

Q21. Roma collected the data for size of shoes of 20 students and recorded as given below:

5, 4 , 7, 5, 6, 7 , 6, 6 , 5, 6, 6 4 , 5, 6, 8, 7, 4, 6, 5, 6, 4, 6Prepare a Frequency table using tally marks.

SECTION-D

Q22. Find the value of:(a) (-9) +4 + (-6)+3(b) 50- (-40) - (-2)

Q23. Find the least number which when divided by 6, 15, and 18 leaves remainder 5 in each case.Q24. Rahul wants to cover a room 3m wide and 4m long by squared tiles. If each square tile is of side 0.5m, then find the number of tiles required to cover the floor the room. Q25. Number of person in various age groups in a town is given in the following table.

Age Group

1-14 15-29 30-44 45-49 60-74 75and above

No.of person

2lakh 1 lakh60thous.

1 lakh 20 thous.

1 lakh 20 thous.

80thous. 40 thous.

Draw a bar graph to represent the above information taking scale of 1unit length = 20thousand.

Q26. Five square flower beds each of sides 12cm are dug on a piece of land 4.8m long and 4.2m wide .What is the area of the remaining part of land.

Nandini’s house is 9/10 km from her school. She walked some distance and then took a bus for ½ km to reach the school. How far did she walk ?

…………

Kendriya Vidyalaya Sangathan- Chandigrah Region

Sample Paper-I

Half Yearly Examination, 2008-09Subject : Mathematics

Class : IX

Time Allowed : 2½Hours Max: Marks: 100

General Instructions:(1). All questions are compulsory. (2). Section A Contains 10 Questions of 1 marks each.(3). Section B Contains 05 Questions of 2 marks each.(4). Section C Contains 10 Questions of 3 marks each.(5). Section D Contains 05 Questions of 6 marks each.

SECTION –A

Q1. Find two rational numbers between 3 and 4.Q2. Write 3/13 in decimal form.Q3. Find the remainder when x³+3x²+3x+1 is divided by x+1.Q4. Find the product by using suitable identity:- (x+4) (x-10) Q5. If triangle ABC=∆PQR, B=55˚ and C= 95˚, find P Q6. Check whether x=-1 and x=2 are the Zeros of the polynomial P(x)= (x+1) (x-2)Q7. The abscissa of a point on the y-axis is …………Q8. Find : (125)⅓ Q9. In ∆ABC,AB=BC=5cm and angle A=55˚, find angle B Q10. Write a linear equation in two variables for the statement:- Cost of a notebook is twice the cost of a pen.

SECTION-B

Q11. Draw the graph of following linear equation in two variables. y = 2x+4 Q12. Find the value of k. if x-1 is a factor of 2x²+kx+√2 Q13. Show that 1.27 can be expressed in the form p/q, where p and q are integers and q ≠ 0.

Q14. Show that the sum of the Angles of a triangle is 180˚ .

Q15. Rationalize the denominator of 1∕√7- √6

SECTION-C Q16. A diagonal of a parallelogram divides it into two congruent triangles.

Q17. Represent √3 on number line

Q18. Factorise: 3√3x³+2√2y³ Q19. Expand :- (-2x+3y+2z)² by using a suitable identity. Q20. Plot the points (4,0) , (2,5) and (4,-3) in the Cartesian plane by using a graph paper. Q21. Factorise:- 8x³+27y³-z³+18xyz Q22. ABC is a triangle in which altitudes BE and CF to sides AC and AB are equal. Show that :- i) ∆ABC= ∆ACF ii) AB=AC

Q23. In given figure if lines PQ and RS intersect at point T , such that PRT =40˚ RPT=95˚ and TSQ = 75˚, find SQT.

Q24. Divide the polynomial 3x³-4x²-3x-1 by x-1

Q25. Factirise:- 27y³+125z³ by using the identity a³+b³=(a+b) (a²-ab+b²)

SECTION-D

Q26. ∆ABC and ∆DBC are two isosceles triangles on the same base BC . Show that ABD = ACDQ27. show that the diagonals of a rhombus are perpendicular to each other.Q28. ABCD is a trapezium in which AB CD and AD= BC. show that

ii) A=Biii) C = Div) ABC=BAD v) Diagonal AC= Diagonal BD

Q29. Verify that : X³+y³+z³-3xyz = ½(x+y+z) [(x-y)² + (y-z)² + (z-x)²] Q30. Factorise: x³+13x²+32x +20 Q13. Find the value of ‘k’ if x=2, y= 1 is a solution of the equation 2x+3y=k. Q8. Find the remainder when x³+3x²is divided by x+1. Q9. Find the product by using suitable identity:- (x+4) (x-10) Q6. Find the product by using suitable property : (x+4)(x-10)Q7. Find the product by using suitable property : (3-2x)(3+2x)

Q8. Determone whether x-3 is a factor of x³-4x²+x+6.

Q12. Find the value of k. if x-1 is a factor of p(x) = kx²-√2x+1 Q13. Find the value of k. if x-1 is a factor of 2x²+kx+√2 Q16. Show that 0.235 can be expressed in the form p/q, where p and q are integers and q ≠ 0. Q17. Represent √5 on number line .

Or Or Represent √2 on number line Q18. Factorise: x³-23x²+142x -120 Q18. Factorise: x³-3x²-9x -5 Mention the remainder so obtained. Q23. Construct a triangle ABC in which B 60∙ and C45∙ and AB+BC+CA = 11cm (write steps of conyruction) Q24. Verify that : X³+y³+z³-3xyz = ½(x+y+z) [(x-y)² + (y-z)² + (z-x)²] Or Expand: (-2x+ 3y+ 2z)² Q26. In figure AB=AC find BAC.

Q12. Find the value of k. if x-1 is a factor of p(x) = kx²-√2x+1

, y = 2x-4

Q3. Simplify: (√ 5-√2) (√5+√2) Q3. Find the zero of the polynomial p(x)= 2x+5

Q4. Find the value of k,if x=1,y=2 is a solution of the equation 2x+3y=k. Q5. Find the remainder when x³-ax²+6x-a is divided by x-a

Kendriya Vidyalaya Sangathan- Chandigrah Region

Sample Paper-II

Half Yearly Examination, 2008-09Subject : Mathematics

Class : VI

Time Allowed : 2½Hours Max: Marks: 100

General Instructions:vi) Question 1 carry 10 Marks each.vii) Question 2 to 11 carry 2 Marks each.viii) Question 12 to 21 carry 4 marks each.ix) Question 22 to 26 carry 6marks each.x) All questions are compulsory.xi) The internal choice is provided in the question paper.

SECTION –A

Q1. a) 1 lakh is equal to ……………. Ten thousand. b) Which is the smallest whole Number ? c) Write the successor of 10999. d) Find the sum of -32 and 32. e) Express 7⅔ as a mixed fraction. f) Express 2⅝ as a mixed fraction. g) Find the area of rectangle whose dimensions are 10m and 15m. h) Give expression for following statement: subtracted from . i) Write an expression for the following:

y is multiplied by -8 and then 5 is added to the result.

j) A triangle whose three sides are equal is called an ________________

SECTION-B Q2. Find the sum by suitable rearrangement: 837+208+363 Q3. Find the common factor of : 5,15 and 25

Q4. Represent (-5) + 10 on Number line.

Q5. Solve : ⅜ - ⅓ Q6. Write the following as a decimal. 137+5/100 Q7. Find the side of the square whose perimeter is 20m Q8. Using divisibility test find if 12573 is divisible by 3 or not.

Q9. Write the smallest five digit number and express it in the form of its prime factorization. Q10. From the figure identify.

a) the center of circle .b) a diameter.

Q11. Find the angle measure between the hands of the clock in given figures.

SECTION-C Q12. Ravi purchased 5kg 400g rice , 2kg 20g sugar and 10kg 850g atta. Find the total weight of his purchases.

Q13. The distance between the school and house of a student is 1km 875m. Everyday she walks both ways between her school and home . find the total distance covered by her in six days.

Q14. A cuboids has:h) ……………… faces.i) ………………. Edges.j) ………………. Vertices.

Q15. Find the value of : 81265 x 169 – 81265 x 69

Q16. Find the HCF of 12,45,75

Q17. Nandini’s house is 9/10 km from her school. She walked some distance and then took a bus for ½ km to reach the school. How far did she walk ?

Q18. Find the value of 27.076 + 0.55 + 0.004 + 3.702 .

Q19. Solve : 3t + 100 = 125.

Q20. What is the cost of tiling a rectangular piece of land 500m long and 200m wide at the rate Of Rs. 9per 100 sq. metre. Q21. In a maths test the marks obtained by 25 students are given below. Arrange the marks in a Table using tally marks.

9 1 3 7 6 5 5 4 4 25 9 5 3 7 1 6 5 2 7

7 3 8 4 2

SECTION-D

Q22. Find the value of

c) (-7) + (-9) + 4 +16d) (-13) + 32 + -8 -1

Q23. Find the least number which when divided by 12, 16, 24 and 36 leaves a remainder 7 in each case.

Q24. How many titles which dimension 5cm & 12cm will be needed to fit in a region whose length and breadth are 100cm & 144cm .

Q25. Number of person in various age group in a town is given in the following table.

Age Group

1.14 15.29 30-44 45-49 60-74 75and above

No.of person

2lakh 1 lakh60thous.

1 lakh 20 thous.

1 lakh 20 thous.

80thous. 40 thous.

Draw a bar graph to represent the above information taking scale of 1unit length = 20thousand.

Q26. Rechal runs around a square park of side 75m . Monika runs around a rectangular park with length 60m and Breadth 45m . who covers lass distance. Or Five square flower beds each of sides 12m are dug on a piece of land 4.8m long and 4.2m wide. What is the area of the remaining part of land.