Mathematics

Date:

Class: VI M. M: 90

Time: 3 hrs General Instructions:

1. Read the question paper carefully and answer legibly.
2. All questions are compulsory.
3. The question paper consist of 31 questions divided into four sections A,B,C and D Section A comprises of 4 question of 1 mark each, section B comprises of 6 questions of 2 marks each, Section C comprises of 10 questions of 3 marks each and Section D comprises of 11 questions of 4 marks each
4. Use of calculators is not permitted.

Section – A

Q1. Write the number of faces of a cuboid. Q2. What will be the HCF of two consecutive odd numbers? Q3. Give an example of a regular quadrilateral. Q4. Write the greatest negative integer.

Section – B

Q5. a) Find the product of the successor and predecessor of 999. 1

1. How many whole numbers are there between 25 and 49? 1

Q6. a) What is 8 more than (-9) equal to? 1

1. Write the successor of (-5) 1 Q7. Write the number names for:
2. 765,490,786 1
3. 24,58,782 1

Q8. Shikha is rowing a boat due north west. In which direction will she be rowing if she turns it 2

through:

1. A straight angle
2. A complete angle

Q9. Find the product of the smallest prime number and smallest composite number. 2

Q10. Draw a rough diagram of two angles such that they have one ray in common. 2

Section – C

Q11. Arrange the following integers in descending order: 3

-53, 15, 35, -23, 0, -12 Q12. Using divisibility rules find:

1. 715689 is divisible by 11 or not. 1.5
2. 29834 is divisible by 6 or not. 1.5

Q13. Draw a rough sketch of a pentagon and draw its diagonals. Write the number of the diagonals 3

it has. Q14. After simplifying put appropriate sign in the blank. 3

<math>(-25) + (-15)</math> 25 - (-15)

VI B 1 of 2

Q15. The number of sheet of paper for making a notebook is 6000. Each sheet makes 12 pages of a 3

notebook. Each notebook has 400 pages. Find how many notebooks can be made from the paper available. Q16. Find using suitable properties: 3

1. <math>8 \times 1099 \times 125</math>
2. <math>239 \times 98</math>

Q17. Three pieces of wood measuring 70 m, 105 m and 175 m long have to be divided into planks 3

of equal length. What is the greatest possible length of each plank? Q18. Draw a rough diagram for each of the following:

1. A closed curve that is not a polygon. 1.5
2. An open curve made up entirely of line segments. 1.5

Q19. a) Look at your watch. How many right angles do the minute hand moves between 8 a.m. 2

to 11.30 a.m.?

1. Name the type of triangle in two different ways: <math>\triangle PQR</math> with <math>\angle Q = 90^{\circ}</math> and <math>PQ = QR</math>. 1

Q20. The sum of two integers is (-45). If one of them is 90, find the other? 3

Section – D

Q21. Draw a circle and mark: 4

1. its centre b) its radius d) a sector e) an arc

Q22. a) Using divisibility rules determine whether 55395 is divisible by 12 or not. 3

1. I am the smallest number, having three different prime factors. Find me. 1

Q23. a) Estimate the sum by rounding off to the nearest hundreds: 2671 + 3321 + 1529 3

1. Write 499 in Roman Numerals. 1

Q24. Find the smallest 4-digit number which when divided by 6, 15 and 18 leave remainder 5 in 4

each case. Q25. a) Draw an angle of 135⁰ using protractor. 3

1. Write the measure of a right angle. 1

Q26. a) Use number line to find <math>(-7) + 5</math> 2

1. Find the value, without using number line: <math>(-34) + (-21) - (-20)</math> 2

Q27. Write the number of faces, edges and corners/vertices of a triangular pyramid. What is another 4

name of a triangular pyramid? Q28. Draw a quadrilateral PINK. Label it properly. State: 4

1. Two pairs of opposite angles
2. Two pairs of adjacent sides

Q29. a) Find the HCF of 75, 60 and 100 by long division method. 3

1. Express 24 as the sum of two odd primes. 1

Q30. A businessman started a business of bats and balls. He bought each bat at a cost of Rs. 1875 3

and a ball at a cost of Rs. 125. If he bought 675 bats and 675 balls. Find the total amount he has spent. He then sold a bat at Rs. 2100 and offered a ball free to every customer. What can you say about this businessman? Describe his quality which you can observe through this act 1

of his. Q31. a) The town newspaper is published every day. One copy has 12 pages. Everyday 12,280 <math>2 + 2</math>

copies are printed. Find how many total pages are printed every day?

1. A vessel contains 3 l and 500 ml of milk. Find in how many glasses, each of 35 ml capacity, can it be filled?

VI B 2 of 2