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Important Questions

6th Standard

    Reg.No. :
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Maths

Time : 01:00:00 Hrs
Total Marks : 60

    Part - A

    25 x 1 = 25
  1. The expanded form of the number 6,70,905 is

    (a)

    6 \(\times\) 10000 + 7 \(\times\) 1000 + 9 \(\times\) 100 + 5 \(\times\) 1

    (b)

    6 \(\times\) 10000 + 7 \(\times\) 1000 + 0 \(\times\) 100 + 9 \(\times\) 100 + 0 \(\times\) 10 + 5 \(\times\) 1

    (c)

    6 \(\times\) 1000000 + 7 \(\times\) 10000 + 0 \(\times\) 1000 + 9 \(\times\) 100 + 0 \(\times\) 10 + 5 \(\times\) 1

    (d)

    6 \(\times\) 100000 + 7 \(\times\) 10000 + 0 \(\times\) 1000 + 9 \(\times\) 100 + 0 \(\times\) 10 + 5 \(\times\) 1

  2. The Arabian Sea has an area of 1491000 square miles. This area lies between which two numbers?

    (a)

    1489000 and 1492540

    (b)

    1489000 and 1490540

    (c)

    1490000 and 1490100

    (d)

    1480000 and 1490000

  3. Which of the following is not true?

    (a)

    (4237 + 5498) + 3439 = 4237 + (5498 + 3439)

    (b)

    (4237 \(\times\) 5498) \(\times\) 3439= 4237 \(\times\) (5498 \(\times\) 3439)

    (c)

    4237 + 5498 \(\times\) 3439 = (4237 + 5498) \(\times\) 3439

    (d)

    4237 \(\times\) (5498 + 3439) = (4237 \(\times\) 5498) + (4237 \(\times\) 3439)

  4. Radha is ‘x’ years of age now. 4 years ago, her age was

    (a)

    x − 4

    (b)

    4 − x

    (c)

    4 + x

    (d)

    4x

  5. The value of ‘y’ in y + 7 = 13 is

    (a)

    y = 5

    (b)

    y = 6

    (c)

    y = 7

    (d)

    y = 8

  6. The ratio of Rs1 to 20 paise is __________.

    (a)

    1: 5

    (b)

    1: 2

    (c)

    2: 1

    (d)

    5: 1

  7. The ratio of the number of sides of a triangle to the number of sides of a rectangle is

    (a)

    4 : 3

    (b)

    3: 4

    (c)

    3: 5

    (d)

    3: 2

  8. Which is not an equivalent ratio of \({16\over 24}\) ?

    (a)

    \(6\over 9\)

    (b)

    \(12\over 18\)

    (c)

    \(10\over 15\)

    (d)

    \(20\over 28\)

  9. If 7 : 5 is in proportion to x : 25, then ‘x’ is

    (a)

    27

    (b)

    49

    (c)

    35

    (d)

    14

  10. If a man walks 2 km in 15 minutes, then he will walk ___________ km in 45 minutes.

    (a)

    10

    (b)

    8

    (c)

    6

    (d)

    12

  11. A set of collinear points in the figure are _________.

    (a)

    A, B, C

    (b)

    A, F, C 

    (c)

    B, C, D

    (d)

    A, C, D

  12. A set of non-collinear points in the figure are _________.

    (a)

    A, F, C 

    (b)

    B, F, D

    (c)

     E, F, G 

    (d)

    A, D, C

  13. The tally marks for the number 7 in standard form is_____________.

    (a)

    7

    (b)

    (c)

    (d)

  14. The tally marks represents the number count

    (a)

    5

    (b)

    8

    (c)

    9

    (d)

    10

  15. A bar graph cannot be drawn using_____________.

    (a)

    Horizontal bars only

    (b)

    Vertical bars only

    (c)

    Both horizontal bars and vertical bars

    (d)

    Either horizontal bars or vertical bars.

  16. The number 87846 is divisible by

    (a)

    2 only

    (b)

    3 only

    (c)

    11 only

    (d)

    all of these

  17. Which of the following pairs is co-prime?

    (a)

    51, 63

    (b)

    52, 91

    (c)

    71, 81

    (d)

    81, 99

  18. 7 km – 4200 m is equal to ____________

    (a)

    3 km 800 m

    (b)

    2 km 800 m

    (c)

    3 km 200 m

    (d)

    2 km 200 m

  19. 2 days = ____________ hours.

    (a)

    38

    (b)

    48

    (c)

    28

    (d)

    40

  20. Number of ordinary years between two consecutive leap years is _______________

    (a)

    4 years

    (b)

    2 years

    (c)

    1 year

    (d)

    3 years

  21. Discount is subtracted from ____________ to get S.P.

    (a)

    M.P.

    (b)

    C.P.

    (c)

    Loss

    (d)

    Profit

  22. Discount = M.P. - _____________

    (a)

    Profit

    (b)

    S.P.

    (c)

    Loss

    (d)

    C.P.

  23. The given triangle is ___________

    (a)

    a right angled triangle

    (b)

    an equilateral triangle

    (c)

    a scalene triangle

    (d)

    an obtuse angled triangle

  24. The angles of a right angled triangle are

    (a)

    acute, acute, obtuse

    (b)

    acute, right, right

    (c)

    right, obtuse, acute

    (d)

    acute, acute, right

  25. Which of the following is not possible?

    (a)

    An obtuse isosceles triangle

    (b)

    An acute isosceles triangle

    (c)

    An obtuse equilateral triangle

    (d)

    An acute equilateral triangle

  26. Part - B

    20 x 2 = 40
  27. Using the digits 5, 2, 0, 7, 3 form the largest 5 digit number and the smallest 5 digit number.

  28. The number lock has the password number with 3 digits. The number is least even number and less than 200. Middle digit has no value separately. Find the password. The digits are used only once.

  29. Arrange in descending order - 8461,7535,2943,6214

  30. Express the following verbal statement to algebraic statement.
    4 less to 9 times of ‘y’.

  31. Given 'n' students like ice cream. What may 2n show?

  32. Price of oil per litre is rs.5 more than three times the price of cool drinks Express algebraically. 'p' rs Express algebraically

  33. Complete the following pattern.
    9-1=
    98-21=
    987-321=
    9876-4321=
    98765-54321=
    What comes next?

  34. Give two equivalent ratios for each of the following.5 : 4

  35. Find the supplementary angle of  90º

  36. Two complementary angles are in ratio 7:2. Find the angles.

  37. In the following Figure, name the angles.

  38. Draw the diagram of two angles having only one common point.

  39. Viji threw a die 30 times and noted down the result each time as follows. Prepare a table on the numbers shown using Tally Marks.
    14 3 5 5 6 6 4 3 5 4 5 6 5 2
    4 2 6 5 5 6 6 4 5 6 6 5 4 1 1

  40. How many Triangles are there in each of the following figures?

  41. Is 173 a prime? Why?

  42. Malarvizhi, Karthiga and Anjali are friends and natives of the same village. They work at different places. Malarvizhi comes to her home once in 5 days. Similarly, Karthiga and Anjali come to their homes once in 6 days and 10 days respectively. Assuming that they met each other on the 1st of October, when will all the three meet again?

  43. A squirrel wants to eat the grains quickly. Help the Squirrel to find the shortest way to reach the grains. (Use your scale to measure length of the line segments)

  44. A store purchased pens at Rs 216 per dozen. He paid Rs 58 for conveyance and sold the pens at the discount of Rs 2 per pen and made a overall profit of Rs 50. Find the M.P. of each pen.

  45. An electrician buys a used T.V. for Rs 12,000 and a used Fridge for Rs 11,000. After spending Rs 1000 on repairing the T.V. and Rs 1500 on painting the Fridge, he fixes up the M.P. of T.V. as Rs 15,000 and that of Fridge as Rs 15,500. If he gives Rs 1000 discount on each find his profit or loss.

  46. Classify the given triangles based on its sides as scalene, isosceles or equilateral.

  47. Part - C

    15 x 3 = 45
  48. In a mobile store, the number of mobiles sold during a month is 1250. Assuming that the same number of mobiles are sold every month, find the number of mobiles sold in 2 years.

  49. Express the following algebraic statement to verbal statement.
    5n − 12

  50. The table given below shows the results of the matches played by 8 teams in a Kabaddi championship tournament,

    Teams A B C D E F G H
    Total Matches played 8 7 n a 9 10 8 y
    Matches won 5 6 4 7 b 6 x 3
    Matches lost k m 6 2 3 c 4 6

    Find the value of all the variables in the table given above.

  51. Which of the two ratios is larger? 1 : 2 or 2 : 1

  52. Pari wants to buy 5 tennis balls from a sports shop. If a dozen balls cost `180, how much should Pari pay to buy 5 balls?

  53. Draw the following angles using the protractor.135º

  54. The following table shows the number of tourists who visited the places in the month of May. Draw a pictograph.

    Place Mahabalipuram Vedanthangal Hogenakkal Ooty
    Number of Tourists 20,000 15,000 40,000 35,000

    (Choose your own suitable scale)

  55. How many triangles are there in the given figures?

  56. Find the number of dots in the tenth figure of the following patterns.

  57. Find the length of the longest rope that can be used to measure exactly the ropes of length 1m 20cm, 3m 60cm and 4m.

  58. How many glasses of the given capacity will fill a 2 litre jug? 
    (i) 100 ml ________
    (ii) 50 ml________
    (iii) 500 ml_______
    (iv) 1 l________
    (v) 250 ml_______

  59. Somu bought a second hand bike for Rs 28,000 and spent Rs 2,000 on its repair. He sold it for Rs 30,000. Find his profit or loss.

  60. Draw a line segment measuring 7.8 cm. Mark a point B above it at a distance of 5 cm. Through B draw a line parallel to the given line segment.

  61. Convert '5a' into Tree diagram

  62. Verify whether given trees are equal or not

  63. Part - D

    10 x 5 = 50
  64. Compare 59283746 and 59283748 using place value chart.

  65. The. rectangles made of identical square blocks with varying lengths but having only two square blocks as width are given below.

    (i) How many smallest squares are there in each of the rectangles P, Q, Rand S?
    (ii) Fill in the boxes

    Rectangles P Q R S T
    Number of small size squares along the breadth 2 2 ? 2 2
    Number of squares along the length 1 4 3 ? X
    Total number of squares in rectangle ? 8 ? 10 ?
  66. If the ratio of Green, Yellow and Black balls in a bag is 4 : 3 : 5, then
    (a) Which is the most likely ball that you can choose from the bag?
    (b) How many balls in total are there in the bag if you have 40 black balls in it?
    (c) Find the number of green and yellow balls in the bag.

  67. Total number of students of a school in different years is shown in the following table

    Years Number of Students
    1996 800
    1997 500
    1998 450
    1999 600
    2000 950

    A) Prepare a pictograph of students using one symbol to represent 100 students and answer the following questions
    (a) How many symbols represent total number of students in the year 2000?
    (b) How many symbols represent total number students in the year 1997?

  68. Arrange the odd numbers from 1 to 17 without repetition to get a sum of 30 on each side of the magic triangle.

  69. Find the duration between 6 a.m and 4 p.m

  70. Prepare a bill for the following purchases at Aavin sales counter in Coimbatore on 25-06-2018 bearing the Bill number 160.
    1. 5 packets Milk Khoa of 100 gm @ Rs 40 each
    2. 5 packets of Butter Milk @ Rs 8 each
    3. 6 packets Milk of 500ml @ Rs 25 each
    4. 5 packets Ghee of 100gm @ Rs 40 each

  71. Construct a line perpendicular to the given line at a point on the line.

  72. Complete the following table :

    Types of Triangle /Its Angles Acute angled triangle Right angled triangle Obtuse angled triangle
    Any two angles Always acute angles i. Always acute angles
    Third angle ii. Right angle iii.
  73. Convert the following questions into tree diagrams:
    (i) The number of people who visited a library in the last 5 months were 1210, 2100, 2550, 3160 and 3310. Draw the tree diagram of the total number of people who had used the library for the 5 months.
    (ii) Ram had a bank deposit of Rs.7,55,250 and he had withdrawn Rs.5,34,500 for educational purpose. Find the amount left in his account. Draw a tree diagram for this.
    (iii) In a cycle factory, 1,600 bicycles were manufactured on a day. Draw tree diagram to find the number of bicycles produced in 20 days.
    (iv) A company with 30 employees decided to distribute Rs.90,000 as a special bonus equally among its employees. Draw tree diagram to show how much will each receive?

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