Half Yearly Model Question Paper 2019 - 2020

8th Standard EM

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Maths

Time : 02:30:00 Hrs
Total Marks : 60

    Multiple Choice Question

    5 x 1 = 5
  1. The price of a hat is Rs210. What is the marked price of the hat if it is bought at 16% discount?

    (a)

    Rs.243

    (b)

    Rs.176

    (c)

    Rs.230

    (d)

    Rs.250

  2. (a) \(\frac { x }{ 2 } \)=10     (i) x = 4
    (b) 20= 6x – 4   (ii) x = 1
    (c) 2x – 5 = 3 – x  (iii) x = 20
    (d) 7x – 4 – 8x = 20  (iv) x =\(\frac { 8 }{ 3 } \)
    (e) \(\frac { 4 }{ 11 } \)- x = \(\frac { -7 }{ 11 } \)   (v) x = –24

    (a)

    (i),(ii), (iv) ,(iii),(v)

    (b)

    (iii), (iv) , (i) ,(ii), (v)

    (c)

    (iii),(i) ,(iv), (v), (ii)

    (d)

    (iii) , (i) , (v) ,(iv) ,(ii)

  3. The exterior angle of a triangle is 120° and one of its interior opposite angle 58°, then the other opposite interior angle is________.

    (a)

    62°

    (b)

    72°

    (c)

    78°

    (d)

    68°

  4. The sides of a right angled triangle are in the ratio 5: 12: 13 and its perimeter is 120 units then, the sides are ______________.

    (a)

    25, 36, 59

    (b)

    10, 24, 26

    (c)

    36, 39, 45

    (d)

    20, 48, 52

  5. There are four groups of letters in each set. Three of these sets are a like in some way while one is different. Find the one which is different.

    (a)

    H K N Q

    (b)

    I L O R

    (c)

    J M P S

    (d)

    A D G J

  6. Fill in the blanks

    5 x 1 = 5
  7. The compound interest on Rs.5000 at 12% p.a for 2 years compounded annually is ____________.

    ()

    1272

  8. The value of x in the equation x + 5 = 12 is --------------------.

    ()

    x = 7

  9. If 'l' and ‘m’ are the legs and 'n' is the hypotenuse of a right angled triangle then, l2 = ________.

    ()

    n2 − m2

  10. If the sides of a triangle are in the ratio 5: 12: 13 then, it is ________.

    ()

    right angled triangle

  11. H X R V M X V

    ()

    SCIENCE

  12. True or False

    5 x 1 = 5
  13. The compound interest on Rs.16000 for 9 months at 20% p.a, compounded quarterly is Rs.2522.

    (a) True
    (b) False
  14. The coordinates of the origin are (1,1).

    (a) True
    (b) False
  15. y =−9 x not passes through the origin.

    (a) True
    (b) False
  16. In a right angled triangle, the hypotenuse is the greatest side.

    (a) True
    (b) False
  17. One of the legs of a right angled triangle PQR having ㄥR = 900 is PQ.

    (a) True
    (b) False
  18. Match the following

    5 x 1 = 5
  19. 20= 6x – 4

  20. (1)

    x = –24

  21. 7x – 4 – 8x = 20

  22. (2)

    12 00 19 07 04 12 0019 08 02 18

  23. mathematics

  24. (3)

    18 20 01 19 17 00 02 19 08 14 13

  25. subtraction

  26. (4)

    x = 4

  27. multiplication

  28. (5)

    12 20 11 19 08 15 11 15 02 00 19 08 14 13

    Answer any 10 Questions

    10 x 2 = 20
  29. A Welfare Association has a sports club where 30% of the members play cricket, 28% play volleyball, 22% play badminton and the rest play indoor games. If 30 member play indoor games.
    (i) How many members are there in the sports club?
    (ii) How many play cricket, volleyball and badminton?

  30. If the numerator of a fraction is increased by 25% and the denominator is increased by 10%, it becomes \(\frac { 2 }{ 5 } \). Find the original fraction.

  31. Some articles are bought at 2 for Rs15 and sold at 3 for Rs25. Find the gain percentage

  32. Find x and m: (i)\(\frac { 3x-2 }{ 4 } =\frac { (x-3) }{ 5 } =-1\)  (ii) \(\frac { m+9 }{ 3m+15 } =\frac { 5 }{ 3 } \)

  33. The length of a rectangle is \(\frac { 1 }{ 3 } \) of its breadth. If its perimeter is 64m, then find the length and breadth of the rectangle.

  34. The following is a table of values connecting the radii of a few circles and their circumferences (Taking \(\pi =\frac { 22 }{ 7 } \)) Illustrate the relation with a graph and find
    (i) The radius when the circumference is 242 units.
    (ii) The circumference when the radius is 24.5 units.

    Radius (r) Circumference
    (2πr)
    7 2 x \(\frac { 22 }{ 7 } \) x 7=44
    14 2 x \(\frac { 22 }{ 7 } \) x 14=88
    21 2 x \(\frac { 22 }{ 7 } \) x 21=132
    28 2 x \(\frac { 22 }{ 7 } \) x 28=176
    35 2 x \(\frac { 22 }{ 7 } \) x 35=220
    42 2 x \(\frac { 22 }{ 7 } \) x 42=264
    49 2 x \(\frac { 22 }{ 7 } \) x 49=308

     

  35. Rithika buys an LED TV which has a 25 inches screen. If its height is 7 inches, how wide is the screen? Her TV cabinet is 20 inches wide. Will the TV fit into the cabinet? Why?

  36. I. Construct the following trapeziums with the given measures and also find their area.
    1. AIMS with \(\overset { \_ \_ }{ AI } \) || \(\overset { \_ \_ }{ SM } \), AI = 6 cm, IM = 5 cm, AM = 9 cm and MS = 6.5 cm.
    2. BIKE with \(\overset { \_ \_ }{ BI } \) || \(\overset { \_ \_ }{ EK } \), BI = 4 cm, IK = 3.5 cm, BK = 6 cm and BE = 3.5 cm.
    3. CUTE with \(\overset { \_ \_ }{ CD } \) || \(\overset { \_ \_ }{ ET } \), CU = 7 cm, ㄥUCE = 800 CE = 6 cm and TE = 5 cm.
    4. DUTY with \(\overset { \_ \_ }{ DU } \) || \(\overset { \_ \_ }{ YT } \), DU = 8cm, ㄥDUT = 600,UT = 6 cm and TY = 5 cm.
    5. ARMY with \(\overset { \_ \_ }{ AR } \) || \(\overset { \_ \_ }{ YM } \), AR = 7 cm, RM = 6.5 cm ㄥRAY = 1000 and ㄥARM = 600
    6. BELT with\(\overset { \_ \_ }{ BE } \) || \(\overset { \_ \_ }{ TL } \), BE = 10 cm, BT = 7 cm ㄥEBT = 85and ㄥBEL = 1100.
    7. CITY with \(\overset { \_ \_ }{ CI } \) || \(\overset { \_ \_ }{ YT } \), CI = 7 cm, IT = 5.5 cm, TY = 4 cm and YC = 6 cm.
    8. DICE with \(\overset { \_ \_ }{ DI } \) || \(\overset { \_ \_ }{ EC } \), DI = 6 cm, IC = ED = 5 cm and CE = 3 cm.

  37. I. Construct the following parallelograms with the given measurements and find their area.
    1. ARTS, AR = 6 cm, RT = 5 cm and ㄥART = 700.
    2. BANK, BA = 7 cm, BK = 5.6 cm and ㄥKBA = 850 .
    3. CAMP, CA = 6 cm, AP = 8 cm and CP = 5.5 cm.
    4. DRUM, DR = 7 cm, RU = 5.5 cm and DU = 8 cm.
    5. EARN, ER = 10 cm, AN = 7 cm and ㄥEOA = 110° where \(\overset { \_ \_ }{ ER } \) and \(\overset { \_ \_ }{ AN } \) intersect at O.
    6. FAIR, FI = 8 cm, AR = 6 cm and ㄥIOR = 80° where\(\overset { \_ \_ }{ FI } \) and \(\overset { \_ \_ }{ AR } \) intersect at O.
    7. GAIN, GA = 7.5 cm, GI = 9 cm and ㄥGAI = 1000.
    8. HERB, HE = 6 cm, ㄥEHB = 600 and EB = 7 cm.

  38. Frame Additive cipher table (key = 4).

  39. Using repeated subtracting method find HCF of the following:
    280 and 420

  40. Do the given problems in repeated subtraction method

  41. Answer any 5 questions

    5 x 3 = 15
  42. When a number is decreased by 25% it becomes 120. Find the number.

  43. The value of a motor cycle 2 years ago was Rs.70000. It depreciates at the rate of 4% p.a. Find its present value.

  44. Graph the equation y = x + 1.
    Begin by choosing a couple of values for x and y. It will firstly help to see
    (i) what happens to y when x is zero and
    (ii) what happens to x when y is zero.
    After this we can go on to find one or two more values.
    Let us find at least two more ordered pairs. For easy graphing, let us avoid fractional answers. We shall make suitable guesses.

  45. Relation between Principal and Simple Interest:
    A bank gives 10% simple interest on deposits made by Senior citizens. Illustrate by a graph the relation between the deposit and the interest gained. Use the graph to compute
    (i) The annual interest obtainable for investment of Rs.450;
    (ii) The amount a Senior citizen has to invest to get an annual simple interest of Rs.80.

  46. Construct a parallelogram DUCK with DC = 8 cm, UK = 6 cm and ㄥDOU = 1100. Also find its area.

  47. Construct a parallelogram BEAR with BE = 7 cm, BA = 7.5 cm and ㄥBEA = 800. Also find its area.

  48. Given that one pair of new born rabbits they produce a new pair each month and from the second month, each new pair can breed themselves. Find how many pairs of rabbits are bred from one pair in a year, and find the relationship between the number of months and the number of pairs of rabbits by tabulation (a pair means (a male and a female)).

  49. Use Ceasar Cipher table set +4 and to try to solve the given secret sentence.
    fvieo mr gshiw ger fi xvmgoc

  50. Answer any 1 question

    1 x 5 = 5
  51. Construct a trapezium BOAT in which \(\overset { - }{ BO } \) is parallel to \(\overset { - }{ TA } \), BO = 7 cm, OA = 6 cm, BA = 10 cm and TA = 6 cm. Also find its area.

  52. Construct a trapezium CARD in which \(\overset { \_ }{ CA } \) is parallel to \(\overset { \_ }{ DR} \), CA = 9 cm, ㄥCAR = 70, AR = 6 cm and CD = 7 cm. Also find its area.

  53. Construct a trapezium DESK in which \(\overset { \_ \_ }{ DE } \) is parallel to \(\overset { \_ \_ }{ KS } \), DE = 8 cm, ES = 5.5 cm, KS = 5 cm and KD = 6 cm. Find also its area.

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