Term 2 Geometry Model Question Paper

8th Standard EM

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Maths

Time : 00:45:00 Hrs
Total Marks : 40
    5 x 1 = 5
  1. If Δ GUT is isosceles and right angled, then ㄥTUG is ________. 

    (a)

    300

    (b)

    400

    (c)

    450

    (d)

    550

  2. The hypotenuse of a right angled triangle of sides 12cm and 16cm is __________.

    (a)

    28 cm

    (b)

    20 cm

    (c)

    24 cm

    (d)

    21 cm

  3. The area of a rectangle of length 21 cm and diagonal 29 cm is __________cm2.

    (a)

    609

    (b)

    580

    (c)

    420

    (d)

    210

  4. If the square of the hypotenuse of an isosceles right triangle is 50 cm2, the length of each
    side is ____________.

    (a)

    25 cm

    (b)

    5 cm

    (c)

    10 cm

    (d)

    20 cm

  5. 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

  6. 5 x 2 = 10
  7. In the figure, find PR and QR.

  8. Find the distance between the helicopter and the ship.

  9. The sides of a triangle are 1.2 cm, 3.5 cm and 3.7 cm. Is this triangle a right triangle? If so, which side is the hypotenuse?

  10. 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?

  11. In the figure, find MT and AH.

  12. 5 x 3 = 15
  13. A 20-feet ladder leans against a wall at height of 16 feet from the ground. How far is the base of the ladder from the wall?

  14. Find LM, MN, LN and also the area of Δ LON.

  15. Find the area of a rectangular plot of land shown in the figure.

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

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

  18. 2 x 5 = 10
  19. 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.

  20. Construct a trapezium DEAN in which \(\overset { \_ \_ }{ DE } \) is parallel to \(\overset { \_ \_ }{ NA } \), DE = 7 cm, EA = 6.5 cm ㄥEDN = 1000 and ㄥDEA = 700. Also findits area.

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