8th Standard English Medium Maths Subject Term 3 Book Back 2 Mark Questions with Solution Part - II

8th Standard

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Maths

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

    2 Marks

    25 x 2 = 50
  1. Express
    (i) 152 and
    (ii) 192 as the sum of two consecutive positive integers.

  2. Find the square root by prime factorisation method
    (i) 1156
    (ii) 4761
    (iii) 9025

  3. Find the least number by which 1800 should be multiplied so that it becomes a perfect square. Also, find the square root of the perfect square thus obtained

  4. Is 2352 a perfect square? If not, find the smallest number by which 2352 must be multiplied so that the product is a perfect square. Find the square root of the new number

  5. Estimate the value of the following square roots to the nearest whole number:
    (i) \(\sqrt { 440 } \)
    (ii) \(\sqrt { 800 } \)
    (iii) \(\sqrt { 1020 } \)

  6. Find the square root of the following decimal numbers:
    i) 2.89
    ii) 67.24
    iii) 2.0164
    iv) \(\frac{144}{225}\)
    v) \(7 \frac{18}{49}\)

  7. If the cube of a squared number is 729, find the square root of that number.

  8. Evaluate:\(\left( \cfrac { 1 }{ 2 } \right) ^{ 3 }\)

  9. Simplify : \(\frac{2^{8} \times 2187}{3^{5} \times 32}\)

  10. Write in scientific notation:
    (i) Earth’s volume is about 1,083,000,000,000 cubic kilometres.
    (ii) If you fill a bucket with dirt, the portion of the whole Earth that is in the bucket will be 0.0000000000000000000000016 kg.

  11. 225 square shaped mosaic tiles, each of area 1 square decimetre exactly cover a square shaped verandah. How long is each side of the square shaped verandah?

  12. Identify the centroid of ΔPQR.

  13. Construct the following rhombuse with the given measurement and also find their area
    FACE, FA = 6 cm and FC = 8 cm

  14. Construct the following rectangle with the given measurement and also find their area.
    LAND, LA = 8 cm and AD = 10 cm

  15. Construct the following square with the given measurement and also find their area.
    EAST, EA = 6.5 cm

  16. Construct the following square with the given measurement and also find their area.
    WEST, ST = 6 cm

  17. Form a continuous frequency distribution table for the marks obtained by 30 students in a X std public examination.
    328, 470, 405, 375, 298, 326, 276, 362, 410, 255, 391, 370, 455, 229, 300, 183, 283, 366, 400, 495, 215, 157, 374, 306, 280, 409, 321, 269, 398, 200.

  18. Write any five points from the given pie chart information regarding pollutants entering in the oceans.

  19. In a study of dental problem, the following data were obtained.

    Ages 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80
    No. of patients 5 13 25 14 30 35 43 50

    Represent the above data by a frequency polygon

  20. Draw a pie chart for the given table.

    Continent Asia Africa North America South America Europe Australia Antarctica
    Area 30 % 20 % 16 % 12 % 7 % 6 % 9 %
  21. The daily income of men and women is given below, draw a separate histogram for men and women.

    Income(in Rs.) 200-300 300-400 400-500 500-600 600-700 700-800 800-900
    No.of
    persons
    Men 20 45 50 40 35 25 15
    Women 16 30 55 35 40 20 10
  22. Find the best buy of the following purchases:
    (i) A pack of 5 chocolate bars for Rs175 or 3 chocolate bars for Rs. 114?
    (ii) Basker buy 1 1/2 dozen of eggs for Rs. 81 and Aruna buy 15 eggs for Rs. 64.5

  23. Using the given picture prepare a price list.
    Suppose you plan to buy 1½ kg of apple, 2 kg of pomegranate, 2 kg of banana, 3 kg of mango, ½ kg of papaya, 3 kg of onion, 1½ kg of tomato, and 1 kg of carrot in shop 1, how much will you save compared to shop 2.

  24. Amazing park is off ers a package deal of 5 entrance passes for Rs130. If one entrance pass normally costs Rs30, how much will you save by taking advantage of this special deal?

  25. A plumber wishes to cut the following sections from standard size of pipe each of length 6m.

    No. of pipes 1 2 3 4 5 6 7 8 9 10 11 12
    Size of length 1 1 1.5 1.5 1.5 1.5 2 2 2 3 3.5 3.5

    Find the
    (a) To cut according to the first-fit method calculate the wastage of the pipe length.
    (b) To cut according to the first-fit decreasing method calculate the wastage of the pipe length.

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