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CuriousTab

Area problems


  • 1. ?PQR is right angled at Q. QS is the altitude. PQ is 2?13 cm and PS is 8 cm. What is the length of SR?

  • Options
  • A. 6?13 cm
  • B. 4?13 cm
  • C. 18 cm
  • D. 9 cm
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  • 2. If a cylinder of radius 4.3 cm and height 4.8 cm is melted and constructed into a cone of the same radius, what will be the height of this cone? (Use ? = 22/7)

  • Options
  • A. 28.8 cm
  • B. 14.4 cm
  • C. 7.2 cm
  • D. 21.6 cm
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  • 3. If the radius of a circle is increased by 25%, its area increases by:

  • Options
  • A. 50 percent
  • B. 25 percent
  • C. 28.125 percent
  • D. 56.25 percent
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  • 4. What is the length of the side of an equilateral triangle, if its area is 36?3 sq cm?

  • Options
  • A. 6 cm
  • B. 24 cm
  • C. 12 cm
  • D. 18 cm
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  • 5. The area of a rectangle is 120 sq cm and its perimeter 140 cm. What is the length of its diagonal?

  • Options
  • A. 50 cm
  • B. 30 cm
  • C. 40 cm
  • D. 60 cm
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  • 6. An angle is (2/3)rd of its supplementary angle. What is the measure of the angle?

  • Options
  • A. 108°
  • B. 72°
  • C. 54°
  • D. 36°
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  • 7. The area of a trapezium is 21 sq cm, the distance between the parallel sides is 3 cm and one of the parallel sides is 8.3 cm. What is the length of the other parallel side?

  • Options
  • A. 12.7 cm
  • B. 7.7 cm
  • C. 10.7 cm
  • D. 5.7 cm
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  • 8. Triangle ABC is similar to triangle PQR and AB : PQ = 2 : 3. AD is the median to the side BC in triangle ABC and PS is the median to the side QR in triangle PQR. What is the value of (BD/QS)2 ?

  • Options
  • A. 3/5
  • B. 4/9
  • C. 2/3
  • D. 4/7
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  • 9. AB and AC are the two tangents to a circle whose radius is 6 cm. If ?BAC = 60 deg, then what is the value (in cm) of ?(AB2 + AC2) ?

  • Options
  • A. 6?6
  • B. 4?6
  • C. 9?3
  • D. 8?3
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  • 10. The radius of two circles is 3 cm and 4 cm. The distance between the centres of the circles is 10 cm. What is the ratio of the length of direct common tangent to the length of the transverse common tangent?

  • Options
  • A. ?51 : ?68
  • B. ?33 : ?17
  • C. ?66 : ?51
  • D. ?28 : ?17
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