CLASS 6 HALF YEARLY 80 MARKS

                       

           HALF YEARLY EXAMINATION      CLASS: VI   SUB: MATHS      MAX.MARKS:80                           
GENERAL INSTRUCTIONS:
All the Questions are compulsory.
The Question paper consists of 40 questions divided in to four sections.
Section A contains 20 questions of each1 mark. 
Section B contains 6 questions of each 2 marks.
Section C contains 8 questions of each 3 marks. 
Section D contains 6 questions each carries 4 marks.
 
 

SECTION –A
(Q1 – Q10) are multiple choice questions.  Select the appropriate answer from the given options
1	How many times the digit 2 does occur between 1 and 100? a)     11                   b)    15             c)      18           d)      20	1
2	The successor of greatest 3 digit number is a)    100                 b)      1000        c)       10            d)     101	1
3	Which of the following is the smallest prime number? a)     2                    b)       3             c)        4        d)     5	1
4	How many vertices are there in a pentagon? a)    5                     b)       4             c)       3         d)     6	1
5	Longest chord of a circle is a)    Radius       b)      Diameter  c)      Semi –circle    d)   parallel lines	1
6	A triangle whose one angle is less than 90 , is called a)    An obtuse triangle   b)   an acute triangle   c)  an equilateral triangle	1
7	The predecessor of -18 is a)    -19                 b)      17              c)      -17        d)    19	1
8	The additive inverse of -4 is a)    5                    b)       0     c)       4                  d)     -6	1
9	Which one is greatest among the fraction $\frac{6}{11}, \frac{7}{11},\frac{8}{11},\frac{9}{11}$     a)    6/11   b)  7/11   c) 8/11   d) 9/11	1
10	A fraction with same denominator 1 is a)    Unit fraction   b)  Like fraction   c)  Proper  fraction d) Improper fraction	1
(Q11 –Q15) Fill in the blanks
11	Face value of 2 in 12345 is ________.	1
12	Product of odd numbers is always a ________ number.	1
13	A number having more than two factors is called _________ numbers.	1
14	A three sided closed figure is called _________. (Or)  A straight angle = _____ degree	1
15	______ is a number which is neither a prime nor a composite.	1
(Q16 – Q20) Answer the following
16	What is the additive inverse of zero?	1
17	Name the plane figure which is bounded by four line segments?	1
18	How many radius can a circle have?   (or) Name the chord which is passing through the centre of the circle.	1
19	Write first three multiples of 12.	1
20	Write XLIV in Hindu-Arabic numerals.	1
SECTION –B
21	Estimate of 7980 + 2562 - 4506	2
22	Find the product by using distributive property: 6792 x 1001	2
23	Find the first three common multiples 4 and 6?        (or) Find the LCM of 24 and 72.	2
24	In the given figure, name the points:  (a)The interior of ∠DOE.            (b)  The exterior of ∠EOF.	2
25	Write the names of the triangles according to their sides and their angles.   (or) Construct 60° with the help of protractor.	2
26	Reduce 21/42  into its simplest form.	2
SECTION –C
27	Solve (i)  7/3  +  1/4       (ii)   7/15  - 8/20	3
28	Find the value of : (-5) + (-7) + (9) + (12)        (or) Write six negative integers just greater than -4.	3
29	What shape is    (a)  your Instrumental box (b)  A brick      (c)  a match box (d)  A road roller (e)  A sweet laddu (f)  an ice cream	3
30	Use the figure to name (a)   Five points (b)   A line  (c)  Four rays  (d)  Five line segment	3
31	Find the smallest 4-digit number which is divisible by 12, 24 and 32. (or) Write all the numbers less than 100 which are common multiple of 12 and 10?	3
32	(i) Find the product by suitable re-arrangement:  8 x 1768 x 125  (ii)Find the product by suitable re-arrangement: 279 x 77 + 279 x 33.	3
33	Use number line and add the following integers: (10) + (-4)     (or)   Which number will we reach if we move 6 numbers to the left of -2 and represent it on the number line?	3
34	A vessel has 4 litres and 500ml of curd.  In how many glasses, each of 25ml capacity, can it be filled?	3
SECTION – D
35	In an election, the successful candidates registered 5, 77,500 votes and his nearest rival secured 3, 48, 700 votes.  By what margin did the successful candidate win the election? (or) To stitch a shirt, 2m 15cm cloth is needed.  Out of 40m cloth, how many shirts can be stitched and how much cloth will remain?	4
36	Three tankers contains 403 litres and 465 litres of diesel respectively.  Find the maximum capacity that can measure the diesel of three containers exact number of times.	4
37	From the figure, Identify: (i)              Centre of the circle (ii)             Three radii (iii)            A diameter (iv)           A Chord (v)            Two points in the interior (vi)           A point in the exterior (vii)          A sector (viii)        A segment	4
38	Asha and samuel have bookshelves of the same size partly filled with books.  Asha shelf is 5/6th full and samuel’s shelf is 2/5th full. Whose bookshelf is full by how much? (or) Shubam painted 1/3 of the wall space in his room.  His sister Madhavi helped and painted ½ of the wall space.  How much did they paint together?	4
39	Find : (i)              (- 17) – 8 – (- 27) (ii)              50 – (- 24) – (-12)	4
40	Measure and classify each angle:

 
 
 
 
 
 
 
 
 
 
         
x
x

class 6 True or False

 Class 6  Maths 

True or False & Fillups

 I.TRUE OR FALSE

            1. 100 lakhs make a million.  ---  false

            2. The estimated value of 46530 to the nearest hundred is 46500. --- true

            3. The successor of the greatest 5 digit number is 100000. --- true

            4. In Roman numerals V, L and D are never repeated. --- true

            5. The difference in the face and the place value of 5 in 85419 is 85414. --- false

            6. The natural number 1 has no predecessor. --- true

            7. If a and b are whole numbers and a < b, then a+1 < b+1. --- true

            8. Every whole number has its predecessor. --- false 

            9. In rectangle diagonal bisect at 90 degree. --- false 

          10. An equilateral triangle is acute angled triangle. --- true

          11.  A number and its successor are always co-primes. --- true

          12. Two consecutive numbers cannot be both primes. --- false

          13. If a number is divisible by 3, it must be divisible by 9. --- false

          14. The sum of the two consecutive odd numbers is always divisible by 4. --- true

          15. A number is divisible by 18, if it is divisible by both 3 and 6. ---false

          16. Point has a size because we can see it as a thick dot on paper. --- false

          17. Two lines in a plane always intersect at a point. --- false

          18. All radii of a circle are equal. --- true

          19. Diameter is a chord of a circle. --- true

          20. The distance between parallel lines is same throughout. --- true

          21. Four points are collinear if any three of them lie on the same line. --- false

          22. The line segments forming letter T form perpendicular lines. --- true

          23. An obtuse angled triangle can be isosceles. --- true

          24. The point at which two adjacent sides of a polygon meet is called its vertex. --- true

          25. Every negative integer is less than every natural number. --- true

          26. The additive inverse of zero is zero. --- true

          27. Greatest negative integer is zero. --- false

          28. -5 < -4 => | -5 | < | -4 |. --- false

          29. The sum of three different integers can never be negative. --- false

          30. Zero is not an integer. --- false

          31. The successor of - 25 is - 24. --- true

          32. The multiplicative inverse of 7 is -7 --- false

I. FILL IN THE BLANKS

       1. 564 when estimated to the nearest hundred is 600.

       2. The smallest digit number with four different digits is 1023.

       3. Face value of 2 in 54321 is 2.

       4. Place value of 2 in 12345 is 2000.

       5. Example of palindromic number is 323.

       6. Dividend = division x Quotient + remainder.

       7. Whole numbers are represented by W and natural numbers are

            Represented by N.

       8. Zero is the additive identity of the whole numbers.

       9. Product of even number is always even.

     10. Natural number 1 has no predecessor.

     11. The smallest composite number is 4.  

     12. The smallest prime number is 2.

     13. The HCF of two consecutive odds numbers is 1.

     14. 1 is neither prime nor composite.

     15. A number having only two factors is called a prime number.

     16. Centroid is the point, where three medians of a triangle meet.

     17. All radii/diameters of a circle are equal.

     18. A figure which begins and ends at the same point is called a closed curve.

     19. A median of a triangle is the line segment that joins a vertex to

           the mid-point of opposite sides.

     20. A line has no end points.

     21. Measure of an acute angle is less than 90.

     22. Measure of an obtuse angle is greater than 90 but less than 180.

     23. Complement of an angle of 45 is 45.

     24. Angles are measured in degrees.

     25. A square is a rectangle with a pair of adjacent sides equal.

     26. Triangle is classified in terms of sides as well as angles.

     27. A complete angle = 360.

     28. Sum of all angles of a pentagon is 540.

     29. The sum of an integer and its opposite is zero.

     30. Farther a number from zero on the left smaller is its value.

     31. Farther a number from zero on the right larger is its value.

     32. Zero is an integer which is neither positive nor negative.

     33. If x and y are two integers, then (x - y) is also an integer.

     34. a + 0 = a = 0 + a, here 0 is called additive identity.

     35. 2/3 + _______ = 19

     36. 7- 2/3 =________.

     37. 42/54 = ________.

     38. 6 1/6- ________ = 29/30

     39. 72/90 reduced to simplest form is _________.

     40. The additive inverse of 3 is ________.

 Class 10 QUIZ REAL NUMBERS

 The prime factorisation of  120 is

  2^2×5 

   2^2×5×3

   2^2×5^2×3

  3^2×5^2×2^2

Answer : B  

The prime factorisation of 375 is

  5^2×3^2×2^2

  5×3×2

  5^2×2^2×3

  5^2×3^2×2

Answer : C  5^2×2^2×3  

If the prime factorization of 1440 is 2^5×6^2×5, then the value of b is

  3

  3^2

  3^3

  +5

Answer : A  3

If the prime factorization of 380 is a^2 bc then the value of a^2,b,c is

  2,5,19

  2,5,9

  12,5,9

  2,15,19

Answer : A 

If the prime factorization of 22275 is 3^a×5^b×〖11〗^c, then the value of a,b,c is

  a=5, b=2, c=1

   a=+3, b=2, c=1

  a=5, b=2, c=4

  a=4, b=2, c=1

Answer : D  a=4, b=2, c=1

The prime factorization of 12716 is

  2×11×17

  2^2×〖11〗^2×〖17〗^2

  2^2×11×〖17〗^2

  2×〖11〗^2×〖17〗^2

      Answer : C  2^2×11×〖17〗^2

The prime factorization of 3690 is

  5×3×2×41

  5^2×3^2×2×41

  5×3^2×2×41

  5×3^2×2^2×41

      Answer : C  5×3^2×2×41

If HCF (33,45) is 3, then the LCM (33,45) is

  459

  495

  49

  45

Answer : B  495

If the LCM of (64,40) is 320, then the HCF (64,40) is

  8

  9

  10

  5

Answer : A  8

If the LCM (a,b) is 36 and HCF (a,b) is 6 then (a×b) is

  217

  271

  216

  261

Answer : C  216