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Area problems


  • 1. The point of intersection of all the three medians of a triangle is called its

  • Options
  • A. orthocentre
  • B. incentre
  • C. centroid
  • D. circumcentre
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  • 2. In a triangle, the distance of the centroid from the three vertices is 4cm, 6cm and 8cm respectively. Then the length of the smallest median is:

  • Options
  • A. 8
  • B. 7
  • C. 6
  • D. 5
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  • 3. The length of the two parallel sides of a trapezium are 16 m and 20 m respectively. If its height is 10 m, its area in square metres is

  • Options
  • A. 360
  • B. 260
  • C. 240
  • D. 180
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  • 4. Let O be the orthocentre of the triangle ABC. If ?BOC = 150°, Then ?BAC is

  • Options
  • A. 30°
  • B. 60°
  • C. 90°
  • D. 120°
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  • 5. What is the area (in sq cm) of a rectangle of perimeter 48 cm and breadth 10 cm?

  • Options
  • A. 140
  • B. 480
  • C. 240
  • D. 440
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  • 6. The areas of two similar triangles ?XYZ and ?PQR are 100 sq cms and 25 sq cms respectively. If PQ = 4 cm then what is the length of XY (in cm)?

  • Options
  • A. 16
  • B. 14
  • C. 8
  • D. 20
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  • 7. What is the area (in sq cm) of a regular hexagon of side 6 cm?

  • Options
  • A. 27?3
  • B. 54?3
  • C. 54
  • D. 27
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  • 8. What is the reflection of the point (2, -3.5) in the y-axis?

  • Options
  • A. (-2, 3.5)
  • B. (-2, -3.5)
  • C. (-3.5,-2)
  • D. (3.5,-2)
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  • 9. Point A divides segment BC in the ratio 1:3. Co-ordinates of B are (4,-4) and C are (0,6). What are the co-ordinates of point A?

  • Options
  • A. (-3, 1.5)
  • B. (-1.5, 3)
  • C. (3, -1.5)
  • D. (1.5, 3)
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  • 10. What is the slope of the line parallel to the line passing through the points (-2, -1) and (4, -3)?

  • Options
  • A. 1/3
  • B. -1/3
  • C. -3
  • D. 3
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