# 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/m^{3}. - 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 r_{1}=31 cm, r_{2}=92 cm, and its distance v=25 cm. - Equilateral triangle

Calculate the side of an equilateral triangle if its area is 892 mm^{2}. - 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 cm^{2}and one diagonal u_{2}= 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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