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Introduction To Algebra Important Questions

6th Standard

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Maths

Answer all the questions 

Time : 01:40:00 Hrs
Total Marks : 50

    Part A

    5 x 1 = 5
  1. Variable means that it

    (a)

    can take only a few values

    (b)

    has a fixed value

    (c)

    can take different values

    (d)

    can take only 8 values

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

    (a)

    x − 4

    (b)

    4 − x

    (c)

    4 + x

    (d)

    4x

  3. The value of ‘x’ in the circle is

    (a)

    6

    (b)

    8

    (c)

    21

    (d)

    22

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

    (a)

    y = 5

    (b)

    y = 6

    (c)

    y = 7

    (d)

    y = 8

  5. The value of ‘c’ for which \(\frac{3c}{4}\) gives 18 is

    (a)

    c = 15

    (b)

    c = 21

    (c)

    c = 24

    (d)

    c = 27

  6. Part B

    5 x 2 = 10
  7. Express the following verbal statement to algebraic statement.
    8 reduced by ‘y’.

  8. Answer the following questions.
    If ‘g’ is equal to 300 what is the value of ‘g − 1’ and ‘g + 1’?

  9. Complete the table and by inspection of the table find the value of m when m +10 = 16.

    m 1 2 3 4 5 6 7 8 9 10
    m+10 - - - - - - - - - -
  10. Express the following verbal statement to algebraic statement.
    4 less to 9 times of ‘y’.

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

  12. Part C

    5 x 3 = 15
  13. The teacher forms groups of five students in a class. How many students will be there in ‘p’ groups?

  14. Athiyan and Mugilan are brothers. Athiyan is ‘p’ years old and Mugilan is elder to Athiyan by 6 years. Write an algebraic statement for this and find the age of Mugilan if Athiyan is 20 years old.

  15. Gopal is 8 years younger to Karnan. If the sum of their ages is 30, how old is Karnan?

  16. A piece of wire is '12 s' cm long. What will be length of the side if it is formed as
    (i) an equilateral triangle.
    (ii) a square?

  17. 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.

  18. Part D

    4 x 5 = 20
  19. Suppose that there are some eggs in a tray. If 6 eggs are taken out from it and still 10 eggs are remaining, how many eggs are there in the tray?

  20. Identify the value of the shapes and figures in the table given below and verify their addition horizontally and vertically.

  21. Gopal is 8 years younger to Karan. If the sum of their ages is 30, how old is Karnan?

  22. Find the variables from the clues given below and solve the cross-word puzzle.

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