DPS – MIS, DOHA- QATAR SUMMATIVE ASSESSMENT - I (2011–12) CLASS: VI
Subject: Mathematics Date: 20-09-2011 Time allowed: 3 hours Maximum Marks: 90
General instructions: .All questions are compulsory (1)
.Please check that this question paper contains 7 printed pages only (2)
.Please check that this question paper contains 34 questions (3)
Section A
Question numbers 1 to 8 carry 1 mark each. For each question, four alternative choices have been provided of which only one is correct. You have to select the correct choice.
1. 1million = ______lakh
a) 10 b) 1000 c) 100 d) None of these
2. Which of the following is co-prime?
a) 8,11 b) 6,8 c) 15,18 d) 13,65
3. The predecessor of 14399 is ______.
a) 14400 b) 15000 c) 14398 d) 14000
4. A region in the interior of the circle enclosed by an arc and a chord is______.
a) sector b) polygon c) segment d) diameter
5. 4 more than ( -7 ) is ____.
a) 3 b) -3 c) 11 d) -11
Page 1 of 7 6. If the side of an equilateral triangle is y , then the perimeter of the equilateral triangle using y is ______.
a) 3 + y b) 3y c) y – 3 d) 4y
7. Which of the following is a true statement?
a) -4 ˃ -3 b) -4 ˂ -3 c) -4 and -3 are not comparable d) None of these
8. A number which has only two factors is called a ______.
a) composite number b) perfect number c) prime number d) even number
Section B
Question numbers 9 to 14 carry 2 marks each.
9. a) Express the following numbers as Roman numeral:
i) 76 ii) 91
b) Write the number name for 69403007 in the International System.
10. Name the property used in each of the following:
a) (873 + 49) + 76 = 873 + (49 + 76)
b) 3 x 40 x 75 = 3 x 75 x 40
11. Find the first three common multiples of 4 and 12.
OR
a) Write all the factors of 20.
b) Write the first four multiples of 12.
12. Using number line write the integer which is 2 less than ( -4 ).
13. How many lines can pass through:
a) one given point
Page 2 of 7 b) two given points 14. Manu is Rashi’s younger brother. Manu is 3 years younger than Rashi. Write Manu’s age in terms of Rashi’s age, if Rashi’s age be m years.
Section C
Question numbers 15 to 24 carry 3 marks each.
15. Write the numeral 48709326 with proper commas in International System. Draw International place value chart and put the number in it.
16. Find the value of the following using distributive property:
a) 9468 x 124 – 24 x 9468
b) 294 x 104
17. What is the HCF of two consecutive even numbers? Find the HCF of 180 and 384.
18. a) Write the two whole numbers occurring just before 1001.
b) State whether the following statements are true or false:
i) All whole numbers are natural numbers.
ii) Zero is the smallest whole number.
19. Using divisibility tests determine whether :
a) 647592 is divisible by 8
b) 72349685 is divisible by 11
OR
Using divisibility tests, determine whether :
a) 4963856 is divisible by 4
b) 14568 is divisible by 6
20. Fill in the blank with ˃, ˂ or = sign (Show calculation).
Page 3 of 7 ( -27 ) – ( -14) _____ ( -19) + ( -11 ) 21. Find:
a) ( -87 ) – ( -13 )
b) ( +30 ) – ( 42 )
c) ( -46 ) – ( +19 )
OR
Find:
a) ( -30 ) + ( -20 ) – ( -16 )
b) ( 16 ) – ( -13 ) + ( -17 )
c) Write two negative integers less than ( -240 )
22. a) Draw a rough sketch of a triangle LMN. Mark a point X in its interior and a point Y in its exterior. Is the point L in its interior or in its exterior?
b) Draw an open curve made up entirely of line segments.
OR
a) Draw any circle and mark:
i) its centre
ii) a sector
iii) a diameter
iv) a radius
b) Is every chord of a circle also a diameter?
Page 4 of 7 23. a) The length of a rectangular room is 5 metres less than 4 times the breadth of the hall. What is the length if the breadth is b metres?
b) State which of the following is an equation with a variable and which is a numerical equation. Identify the variable from the equation with a variable:
i) ( 3 x 9 ) – 16 = 11
ii) 19 = ( 2 x 6 ) + p
24. Give expressions in the following cases:
a) 8 times y from which 11 is subtracted
b) m is multiplied by ( -3 ) and then 9 is added to the result
c) one third of the sum of x and y
Section D
Question numbers 25 to 34 carry 4 marks each.
25. a) Write the numeral for sixty seven lakh twenty nine thousand forty seven
b) The mass of a brick is 3kg 750g. What is the mass of 16 such bricks.
26. Estimate the following using general rule:
a) 13,478 + 25,697
b) 287 x 946
27. a) Find the sum by suitable rearrangement:
2469 + 1283 + 3431 + 1417
b) Are the whole numbers commutative under division? Justify your answer with an example.
Page 5 of 7 28. a) A number is divisible by 27 if it is divisible by both 3 and 9. True or false?
b) Three measuring rods are 45cm, 50cm and 75cm in length. What is the least length of a rope that can be measured by the full length of each of these three rods?
OR
a) Match the items in column 1 with the items in column 2
Column 1 Column 2
i) 14 a) Factor of 35
ii) 7 b) Factor of 9
iii) 9 c) Multiple of 7
b) What is the maximum capacity of a ‘measuring can’ that can be used to fill two containers having a capacity of 234 litres and 572 litres respectively?
29. a) Find the sum of ( -324 ), ( +500 ) and ( -96 )
b) The sum of two integers is ( -675). If one of them is ( +247 ), what will be the other integer?
OR
a) Find the value of ( -9 ) – ( +6 ) + ( -12 ) – ( +7 ).
b) Subtract the sum of ( +219 ) and ( -100 ) from the sum of ( -515 ) and ( -200 ).
30. Draw a rough sketch of a quadrilateral ABCD. Draw its diagonals. Is the meeting point of the diagonals in the interior or exterior of the quadrilateral? Write :
a) one pair of opposite sides
b) one pair of adjacent angles
Page 6 of 7 31. a) Find the least number which when divided by 12, 15 and 18 leaves remainder 9 in each case.
b) Express 36 as the sum of two odd primes.
c) Write a pair of prime numbers less than 20 whose sum is divisible by 5.
32. Pick out the solutions from the values given in the bracket. Show that the other values do not satisfy the equation.
a) 6 – r = 10 ( 5, -4 )
b) 3x = 45 ( 0, 15 )
33. a) Write all the integers between ( -2 ) and +3.
b) Write the opposite of the following:
i) loss of Rs 400
ii) 30m above sea level
34. In the given figure :
a) identify the three triangles
b) write the names of four line segments
c) which two triangles have N as common?
d) which two triangles have OL as common side?
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