Mathematics

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• Temperature difference 2
  The temperature in London on new year’s day is -2 degree Celsius. The temperature in Moscow on the same day is -14 degree Celsius, what is the temperature difference between the two cities?
• Life expectancy
  The life expectancy of batteries has a normal distribution with a mean of 350 minutes and standard deviation of 10 minutes. What the range in minutes 68% of the batteries will last? What is the range in minutes approximately 99.7% of batteries will last?
• Temperature difference
  The highest temperature of Libya was recorded 58 degree Celsius and the lowest was recorded -88 degree Celsius, what is the temperature difference?
• A kite
  ABCD is a kite. Angle OBC = 20° and angle OCD = 35°. O is the intersection of diagonals. Find angle ABC, angle ADC and angle BAD.
• A rectangular patio
  A rectangular patio measures 20 ft by 30 ft. By adding x feet to the width and x feet to the length, the area is doubled. Find the new dimensions of the patio.
• Two cubes
  The surfaces of two cubes, one of which has an edge of 22 cm longer than the second are differ by 19272 cm². Calculate the edge length of both cubes.
• Rectangular trapezoid
  In a rectangular trapezoid ABCD with right angles at vertices A and D with sides a = 12cm, b = 13cm, c = 7cm. Find the angles beta and gamma and height v.

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