# Grade - math word problems

#### Number of problems found: 6697

• Minute angle
Determine size of angle, which takes minute hand for 75 minutes.
• Guess number
With what number should be divided, number 9727 to be reduced by 70%?
• Angles
The triangle is one outer angle 158°54' and one internal angle 148°. Calculate the other internal angles of a triangle.
• Secret number
Determine the secret number n, which reversed decrease by 16.4 if the number increase by 16.4.
• V-belt
Calculate the length of the belt on pulleys with diameters of 105 mm and 393 mm at shaft distance 697 mm.
• Earth parallel
Earth's radius is 6370 km long. Calculate the length parallel of latitude 50°.
• Tree trunk
Calculate the average tree trunk with a circumference of 149 cm.
• Clock
How long is the trajectory of the second hand of hours for day, if it is 15 mm long?
• Seedcake
Seedcake costs 44 cents. How many minimum seedcakes we must buy that we can pay in cash only whole euros?
• Track arc
Two straight tracks is in an angle 74°. They will join with circular arc with radius r=1127 m. How long will be arc connecting these lines (L)? How far is the center point of arc from track crossings (x)?
• Train
The train passes part of the line for 95 minutes at speed 75 km/h. What speed would have to go to shorten the driving time of 20 minutes?
• Tourist
Tourist walk at 4.1 km/h. Every 5 km have 20-minute break. How many kilometers passed, when started at 4:40 and finished at 10:30?
• Conserving water
Calculate how many euros are spent annually on unnecessary domestic hot water, which cools during the night in pipeline. Residential house has 129 m of hot water pipelines 5/8" and the hot water has a price of 7 Eur/m3.
• Heron backlaw
Calculate missing side in a triangle with sides 25 and 13 and area 152.
• Sphere cuts
At what distance from the center intersects sphere with radius R = 56 plane, if the cut area and area of the main sphere circle is in ratio 1/2.
• Sphere slices
Calculate the volume and surface of a sphere if the radii of parallel cut r1=31 cm, r2=92 cm, and its distance v=25 cm.
• Equilateral triangle
Calculate the side of an equilateral triangle if its area is 892 mm2.
• Right triangle
Right triangle legs has lengths 630 mm and 411 dm. Calculate the area of this triangle.
• Diamond
Determine the side of diamond if its content is S = 353 cm2 and one diagonal u2 = 45 cm.
• Triangle
Calculate heights of the triangle ABC if sides of the triangle are a=82, b=44, and c=53.

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