Buddha Shanti_8_2081

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  1. According to the given Venn diagram, answer the following questions:
    1. Which type of sets are \(A\) and \(B\)?[1]
    2. Make any two proper subsets from set \(A\).[1]
    3. If the members \(1\) and \(2\) are taken out from the given Venn diagram, then write the relationship between set \(A\) and set \(B\).[1]
  2. Prabin bought a mobile phone of labelled price Rs. 12,000 at 20% discount.
    1. How much is the discount price of an article whose marked price is (M.P.) and the discount percentage is \(D\%\)?[1]
    2. Find the selling price of the mobile phone.[1]
    3. If the mobile phone is sold at 20% loss, find the cost price.[2]
  3. Mina has deposited Rs. 4,00,000 in a commercial bank for 2 years at the rate of Rs. 10 interest per annum for Rs. 100.
    1. At what percent of interest rate per annum had Mina deposited the amount of money?[1]
    2. How much interest will Mina get in 2 years at the same rate of interest?[2]
    3. The ages of elder and younger daughters of Mina are 16 years and 12 years respectively. If Mina divides her Rs. 2,80,000 to her daughters based on the ratio of their ages, how much more money will the elder daughter get than the younger daughter?[2]
  4. In a shop, the price of articles is attached in binary number.
    1. If the price of a copy is written Rs. \(11111_2\), then write the price of the copy in decimal number system.[1]
    2. What is the price of the copy in quinary number system?[1]
    3. Convert \(0.\overline{41}\) into fraction.[1]
    4. In a month of 30 days, there are 25,92,000 seconds. Write the given seconds in scientific notation.[1]
  5. A school has a circular swimming pool and a rectangular garden. Their areas are equal.
    1. Write the formula to calculate area of circle.[1]
    2. Find the area of circular swimming pool.[1]
    3. Calculate the perimeter of the rectangular garden.[2]
    4. Which of the garden or swimming pool needs more cost to fence?[1]
    1. If \(x = y^0 + 4\), find the value of \(x\).[1]
    2. Simplify: \(\frac{x^2}{x+y} \times \frac{y^2}{x+y}\)[2]
  7. Simultaneous linear equations \(x + y = 8\) and \(x - y = 2\) are given.
    1. If \(x = 5\) is in the equation \(x + y = 8\), then what will be the value of \(y\)?[1]
    2. Solve the given equations by graphical method.[2]
  8. Two algebraic expressions \(x^2 + x - 20\) and \(x^2 - 25\) are given.
    1. Find the H.C.F. of the given expressions.[2]
    2. What is the value of \(x\) when the expression \(x^2 + x - 20\) is zero?[2]
  9. In the given figure, \(AB \parallel CE\), \(\angle BAC = 50^\circ\), \(\angle ECD = 60^\circ\), and \(\angle ACB = x\).
    1. Write an angle alternate to \(\angle BAC\).[1]
    2. Find all the angles of \(\triangle ABC\).[2]
    3. Compare all the angles of \(\triangle ABC\).[1]
    1. Construct a parallelogram \(ABCD\) with \(AB = 8\) cm, \(BC = 6\) cm and \(\angle ABC = 75^\circ\).[3]
    2. Construct two triangles \(ABC\) and \(ACD\) from the parallelogram \(ABCD\). Prove that \(\triangle ABC \cong \triangle ACD\).[2]
    1. Write the name of tessellation which uses only one type of regular geometrical shape.[1]
    2. In the graph, the bearing of point \(C\) from point \(B\) is \(090^\circ\). What is the bearing of point \(B\) from point \(C\)?[2]
    3. In the graph, translate the triangle \(\triangle ABC\) by 2 units right and 5 units down. Write the coordinates of the image.[3]
  12. The monthly budget of a family is given below:
    13. Heading Food Clothing Education Medicine Others
    Expenditure (Rs.) 6,000 8,000 3,000 1,200 1,000
    1. Represent the given data in a pie chart.[2]
    2. What is the average annual budget?[1]

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