# Units - math word problems

#### Number of problems found: 4451

• 2x cone Circular cone height 84 cm was cut plane parallel with base. Volume of these two small cones is the same. Calculate the height of the smaller cone.
• Height difference What height difference is overcome if we pass a road 1 km long with a pitch21 per mille? How large must the group of people be so that the probability that two people have a birthday on the same day of the year is greater than 90%?
• Poisson distribution - daisies The meadow behind FLD was divided into 100 equally large parts. Subsequently, it was found that there were no daisies in ten of these parts. Estimate the total number of daisies in the meadow. Assume that daisies are randomly distributed in the meadow.
• Hot air balloon The center of the balloon is at an altitude of 600 m above the ground (AGL). From habitat on earth is the center of the balloon to see in elevation angle 38°20' and the balloon is seen from the perspective of angle 1°16'. Calculate the diameter of the bal
• Traffic sign There is a traffic sign for climbing on the road with an angle of 7%. Calculate at what angle the road rises (falls).
• A boy A boy of height 1.7m is standing 30m away from the flagstaff on the same level ground. He observes that the angle of deviation of the top of flagstaff is 30 degrees. Calculate the height of flagstaff.
• Icerink Rectangular rink with dimensions of 68.7 m and 561 dm must be covered with a layer of ice 4.2 cm thick. How many liters of water is necessary for the formation of ice when the volume of ice is 9.7% greater than the volume of water.
• Volume of sphere How many times does the volume of a sphere increase if its radius increases 2 ×? If 4 and a half teaspoons of baking powder are need to make 10 servings of cornbread, how many teaspoons are needed to make 25 servings?
• Rainfall Annual rainfall in our country is an average of 797 mm. How many m3 of water rains on average per hectare?
• Integer cube The length of the cube edge is an integer. Its volume is in cm3 a five-digit number divisible by 1331. What is the length of the edge of this cube.
• Tangents construct The circle k is given k (S; 2.5 cm) and an outer line p. Construct a tangent t of the circle that has with a line p angle 60°. How many solutions have the task? The angle of a straight road is approximately 12 degrees. Determine the percentage of this road.
• Isosceles triangle What are the angles of an isosceles triangle ABC if its base is long a=5 m and has an arm b=4 m.
• Railway Railway line had on 5.8 km segment climb 9 permille. How many meters track ascent?
• Wheel gear A drive wheel of radius 2 is connected to a drive wheel of radius 1 by a pulley of length 17. What is the distance between the wheel axles?
• Rope How many meters of rope 10 mm thick will fit on the bobbin diameter of 200 mm and length 350 mm (central mandrel have a diameter 50 mm)?
• Center of gravity The mass points are distributed in space as follows - specify by coordinates and weight. Find the center of gravity of the mass points system: A1 [1; -20; 3] m1 = 46 kg A2 [-20; 2; 9] m2 = 81 kg A3 [9
• Ratio iso triangle The ratio of the sides of an isosceles triangle is 7:6:7 Find the base angle to the nearest answer correct to 3 significant figure.

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