Maths: Surface Area and Rs

Satisfactory Essays
8th Maths Practice Paper-1

1. An altitude of a triangle is 5/3 of its corresponding base. If the altitude were increased by

4cm and the base decreased by 2cm, the area of the triangle would remain the same. Find the base and altitude of the triangle.
2. Some toffees are bought at the rate of 11 for Rs10 and same numbers are bought at the

rate of 9 for Rs 10. If the whole lot is sold at one rupee per toffee, find the gain or loss percent.
3. Chandu purchased a watch at 20% discount on its marked price but sold it at marked price.

Find the gain percent of Chandu on this transaction.

4. A motorboat covers a certain distance downstream in a river in five hours. It covers the same distance upstream in five hours and half. The speed of water is 1.5 km/hr. Find the speed of the boat in still water.
5. Factorize:

(i) 2x2+y2+8z3-22xy-42yz+8xz

(ii) x6 – 3x4y2 +3x2y4 –y6

6. Evaluate: (367/2 –369/2)/ 365/2

7. Divide 34x-22x3-12x4-10x2-75 by (3x+7) and check your answer.

8. The digit in the tens place of a number is three times that in the ones place. If the digits are reversed, the new number will be 36 less than the original number. Find the number.
9. A well is dug 20m deep and it has a diameter 7m. The earth, which is so dug out, is spread out on a rectangular plot 22m long and 14m broad. What is the height of the platform so formed?
10. The total surface area of a hollow cylinder open at both ends is 4620sqcm, area of the base ring is 115.5sqcm and height 7cm. find the thickness of the cylinder.

11. A hemispherical bowl is made of steel 0.5cm thick. The inside radius of the bowl is 4cm.

Find the volume of steel used in making the bowl.

12. A circus tent is cylindrical up to a height of 3m and conical above it .If the radius of the base is 49m and the slant height of the conical part is 53m, find the total canvas required to make the tent.
13. A storage tank consists of a circular cylinder with

You May Also Find These Documents Helpful

  • Good Essays

    AREA (i) The area of a rhombus is equal to the area of a triangle whose base and the corresponding altitude are 24.8 cm and 16.5 cm respectively. If one of the diagonal of the rhombus is 22 cm, find the length of the other diagonal. (ii) The floor of a rectangular hall has a perimeter 250m. If the cost of paining the four walls at the rate of Rs 10 per m2 is Rs 1500. Find the height of the hall. (iii) A room is half as long again as it is broad. The cost of carpeting the room at Rs…

    • 974 Words
    • 4 Pages
    Good Essays
  • Good Essays

    Surface Area

    • 904 Words
    • 4 Pages

    Surface Area Formulas In general, the surface area is the sum of all the areas of all the shapes that cover the surface of the object. Cube | Rectangular Prism | Prism | Sphere | Cylinder | Units Note: "ab" means "a" multiplied by "b". "a2" means "a squared", which is the same as "a" times "a". Be careful!! Units count. Use the same units for all measurements. Examples |Surface Area of a Cube = 6 a 2…

    • 904 Words
    • 4 Pages
    Good Essays
  • Good Essays

    Surface Area

    • 1042 Words
    • 5 Pages

    Surface area Surface area is the measure of how much exposed area a solid object has, expressed in square units. Mathematical description of the surface area is considerably more involved than the definition of arc length of a curve. For polyhedra (objects with flat polygonal faces) the surface area is the sum of the areas of its faces. Smooth surfaces, such as a sphere, are assigned surface area using their representation as parametric surfaces. This definition of the surface area is based on methods…

    • 1042 Words
    • 5 Pages
    Good Essays
  • Satisfactory Essays

    Surface Area

    • 931 Words
    • 4 Pages

    Intro: Surface Area and Volume Multiple Choice Identify the choice that best completes the statement or answers the question. Find the surface area of the space figure represented by the net. ____ 1. 12 in. 4 in. 6 in. 4 in. 4 in. 6 in. a. 288 in.2 ____ 2. b. 144 in.2 c. 240 in.2 d. 288 in.2 5 cm 5 cm 7 cm 8 cm 4 cm ____ a. 124 cm2 b. 110 cm2 c. 150 cm2 d. 164 cm2 3. Find the surface area of the cylinder. Use a calculator. Round to the nearest tenth. 4m 3m a…

    • 931 Words
    • 4 Pages
    Satisfactory Essays
  • Satisfactory Essays

    Formulas of Surface area and Lateral surface area of Polyhedrons LSA or Lateral Surface Area refers to the sum of the areas of all the faces of a three-dimensional figure, excluding its bases. SA or Surface Area- refers to the sum of the areas of all the faces of a three-dimensional figure. It also referred to as the Total Surface Area (TSA). ~~~~~~~~~~~~~~~~~~~ For Rectangular Prism LSA= P(h) *where P=perimeter of the base ; h= measurement of the height SA= 2B+ LSA *where…

    • 251 Words
    • 2 Pages
    Satisfactory Essays
  • Powerful Essays

    Surface Area and Cm

    • 1368 Words
    • 6 Pages

    so that the resulting polynomial has a factor 2x – 3 ? [3] b) D, E, F are mid points of the sides BC, CA and AB respectively of a Δ ABC. Find the ratio of the areas of Δ DEF and Δ ABC. [3] c) A man borrowed a sum of money and agrees to pay off by paying Rs 3150 at the end of the first year and Rs 4410 at the end of the second year. If the rate of compound interest is 5% per annum, find the sum borrowed. [4] Question 2. a) The y-axis is a line of symmetry…

    • 1368 Words
    • 6 Pages
    Powerful Essays
  • Good Essays

    Surface Area of a Cube

    • 761 Words
    • 4 Pages

    Dollar 000234333 EFT4: Math: Task 5: Surface Area of Cubes Introducing Surface Area For a fifth or sixth grade class to understand the concept surface area in relation to a cube they need to understand what a cube is first. They will learn that a cube is a special type of rectangular solid. The length, width, and height of a cube are exactly the same. After explaining what a cube is they will need to understand what it means to find the surface area. The surface area is not the same as finding…

    • 761 Words
    • 4 Pages
    Good Essays
  • Good Essays

    Surface Area Osmosis

    • 589 Words
    • 3 Pages

    Investigating the effect of surface area to volume ratio on Osmosis As far as living organisms are concerned, they are all made up of cells whereas, the membrane surrounds all those cells. The cell membrane has the key responsibility to maintain a stable interval environment. Even though, Cell membrane is made up of phospholipids bilayer and has that great amount flexibility making it unbreakable while transportation of substances. However, certain substances such as, dissolved gases, sugars, salt…

    • 589 Words
    • 3 Pages
    Good Essays
  • Good Essays

    Surface Area of a Sphere

    • 580 Words
    • 3 Pages

    |Subject: Surface area of a sphere | A connection which could be illustrated, and could be understood by students who know the perimeter of a circle, runs as follows: Put the sphere of radius R inside a cylinder, with the cylinder just touching the equator, and cut off at the height of the top and bottom of the sphere. (A cutaway view is in the diagram.) [pic] What is the area of the curved part of…

    • 580 Words
    • 3 Pages
    Good Essays
  • Satisfactory Essays

    Performance Task in GEOMETRY * Computation of the surface area, amount and type of needed material and the volume of the package. Volume V= L x H x W = (23 cm) (4 cm) (12cm) = (276) (4) = 1 104 cm Area A= L x W = (23cm) (12cm) = 276cm Surface Area A= 2(Lh) + 2(Lw) + 2(Wh) / 2( lh + lw + wh) = 2(23*4) + 2(23*12) + 2(12*4) = 2(92) + 2(276) + 2(48)…

    • 449 Words
    • 2 Pages
    Satisfactory Essays