Kushma_Parbat_2081

By
  1. Study the given Venn diagram.
    1. Write the type of sets \(A\) and \(B\)—overlapping or disjoint.[1]
    2. Construct all the possible subsets using the members of set \(A\).[2]
  2. Ram fixed the marked price of a laptop at \(\text{Rs.}\,63{,}000\) and sold it with a \(10\%\) discount.
    1. Write the formula to find the discount percentage.[1]
    2. At what price did Ram sell the laptop? Find it.[2]
    3. How much discount amount was given if Ram had fixed the price at \(\text{Rs.}\,57{,}000\) and sold it at the above selling price?[2]
  3. Ruby took a loan for \(2\) years at the simple interest rate of \(10\%\) per annum. If the interest for that period was \(\text{Rs.}\,2{,}000\),
    1. Define interest.[1]
    2. How much loan did she take? Find it.[2]
    3. Find the ratio between interest and principal.[1]
    1. Two numbers are in the ratio \(3:4\). If their sum is \(133\), find the numbers.[2]
    2. If the price of \(10\) pens is \(\text{Rs.}\,200\), what will be the price of \(3\) dozen pens?[1]
    3. The distance between Earth and the Sun is \(149{,}600{,}000{,}000\,\text{m}\). Write this number in scientific notation.[1]
    4. Convert the binary number \(110111_2\) into the decimal number system.[1]
  5. Flowers are planted in a trapezium-shaped garden inside a parallelogram-shaped land.
    1. Write the formula to find the area of a parallelogram.[1]
    2. Calculate the area of the trapezium-shaped garden.[2]
    3. Find the area of the parallelogram-shaped land excluding the trapezium garden.[2]
    4. How much will it cost to fence once around the parallelogram-shaped land at the rate of \(\text{Rs.}\,500\) per meter?[2]
    1. Find the value of \((xyz)^0\).[1]
    2. Using the laws of indices, prove that: \[ \dfrac{x^{p - q + 1} \cdot x^{q - r + 1} \cdot x^{r - p + 1}}{x^{3}} = 1 \][2]
    1. Find the H.C.F. of the algebraic expressions: \(x^{2} - 7x + 12\) and \(3x^{2} - 27\).[2]
    2. Simplify: \(\dfrac{x^{2} - 5x + 6}{x^{2} - 4}\)[2]
  8. Two equations are given: \(x + y = 2\) and \(2x + y = 7\).
    1. What is the system of the given equations called?[1]
    2. Solve the equations using the graphical method and find the values of \(x\) and \(y\).[2]
  9. In the given figure,
    1. Write one pair of alternate angles.[1]
    2. Find the value of \(q\).[2]
    3. Find an exterior angle of a regular polygon with \(6\) sides.[1]
    1. Construct a parallelogram \(PQRS\) with \(PQ = 6\,\text{cm}\), \(QR = 5\,\text{cm}\), and \(\angle PQR = 75^{\circ}\).[3]
    2. In the adjoining figure, \(BC \parallel PQ\). Show that \(\triangle ABC \sim \triangle APQ\).[2]
    1. Define regular tessellation.[1]
    2. Reflect \(\triangle ABC\) with vertices \(A(1,1)\), \(B(4,1)\), and \(C(4,6)\) on the \(x\)-axis. Show both triangles on a graph and write the coordinates of the image.[3]
    3. Find the distance between points \(A(1,1)\) and \(C(4,6)\).[2]
  12. The ages (in years) of \(10\) students of Grade VIII are: \(13, 14, 15, 14, 16, 18, 14, 13, 13, 14\).
    1. Find the mode age of the students.[1]
    2. Find the average age of the students.[1]
    3. The total weekly expenditure of a family is \(\text{Rs.}\,6{,}000\), distributed as shown in the pie chart:
      Food: \(120^{\circ}\), Education: \(80^{\circ}\), Cloth: \(90^{\circ}\), Others: \(70^{\circ}\).
      How much does the family spend on food per week? Find it.[1]

No comments:

Post a Comment