class:vi

sample paper

General Instruction:

• This question paper contains 31 questions..
• All the questions are compulsory.
• Marks for each question are indicated against it.

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Section A

1. Rewrite the following numbers in ascending order:
   17,704 ; 4,21,357 ; 99,999 ; 30,456
2. Write the next term of the given pattern: 1, 8, 27, 64, 125
3. In a triangle ABC, side opposite to vertex A is ________.
4. _____________ is a collection of numbers gathered to get some information.
5. Draw a closed curve and represent the following points:
   1. Point A in the interior of the curve.
   2. Point B and C on the curve.
6. Find the prime factorisation of 3960.
7. The following table shows the cement production in some countries during a year. Represent it by a bar graph.

   Country	Cement Production
   Japan USA Italy India	700 750 320 370

8. During prayer time in a school 25 students stand in each row. Find the minimum number of rows if there are 674 students in that school.
9. The numerical expression for ‘ eight more than the product of two and five’ and its result when divided by two is __________.
10. Simplify 272 × 42 × + 272 × 50 + 272 × 82
11. In each of the following numbers, replace * by a digit to make the number divisible by 9.
    1. 6702*
    2. 903*8
    3. *8537
12. Determine LCM OF 36, 45 and 60.
13. Where will the hand of the clock stop if it :
    1. starts at 4 and makes ½ of a revolution?
    2. starts at 9 and makes ¾ of a revolution?
    3. starts at 6 and makes a complete revolution
14. Illustrate, if possible, each one of the following with a rough diagram:
    1. A closed curve that is not a polygon.
    2. A polygon with two sides.
    3. A polygon with minimum number of sides.
15. Find the following products :
    1. 38 × 27 × 1.
    2. 245 × 20 × 0 × 98 .
    3. 99 × 437.
16. The following are the ages (in years) of some students. Prepare a table using tally marks.
    13 14 12 14 14 13 13 12 12 14 15 15 14 13 13 14 15 14 15 12 13 12 14 15 15 14 13 14 15 14 12 13 15
17. Two points A and B are given. How many circles can be drawn
    1. passing through both the points?
    2. With A as centre and AB as radius?
18. Estimate the sum of the following numbers to the nearest ten thousand:
    31568 + 65438 + 74075
19. Draw a circle and mark:
    1. its centre
    2. a diameter
    3. a chord
    4. a sector
    5. an arc
    6. a segment
20. The income of a family for 5 years is given in the following data. Draw its bar graph.

    Years	2007-08	2008-09	2009-10	2010-2011	2011-12
    Income	100	140	150	165	200

21. Find the H.C.F of the following numbers by long division method:
    1. 161 and 345
    2. 180, 384, 144
22. The HCF and LCM of two numbers are 173 and 6055 respectively. If one of the numbers is 1211, find the other.
23. Find the estimated product for the following
    1. 25 × 74
    2. 780 × 54
24. Vineeta got Rs 100 from her mother. She bought a book for Rs 27.75, a pen for Rs 18.10 and a colour box for Rs 8.25 and bought gift of Rs 30.42 for her younger brother . How much amount is left with her? What values do you learn from her?
25.  
    1. Find the number of times the digit 3 appears in numbers from 1 to 100 ?
    2. Find a number which when divided by 17 gives a remainder 11. How many such numbers are possible?
26. In the adjoining polygon name the following:
    
    1. Vertices
    2. Pairs of adjacent sides
    3. Sides
    4. Diagonals
27. How many degrees are there in:
    1. two right angles
    2. one-third of a right angle
    3. one-sixth of a right angle
    4. three right angles
28. Name the quadrilaterals by identifying following features:
    1. 4 sides 4 angles equal.
    2. 2 pairs of adjacent sides equal.
    3. 2 pairs of opposite sides and 4 angles equal.
    4. 4 sides equal.
29. In the following figure, name D C
    
    1. all triangles.
    2. all angles. E
    3. all segments.
    4. triangles having angle E as common angle. A B
30. Rearrange the following marks of 30 students in a tabular form, using tally method then draw its bar graph.
    42 45 42 45 49 41 42 43 45 49 41 42 43 45 41 49 49 42 43 45 41 43 45 49 49 43 42 43
31. Rita's mother gave her Rs 950 and her father gave her Rs 1050. She distributed Rs 768 to an orphan child. How much balance did she have after donating? What values do you learn from her? Mention any two.