Math practice for 13 year olds - page 406 of 414
Number of problems found: 8280
- Cuboid
Find the dimensions a, b, and c of a cuboid whose space diagonal is d = 6 dm and makes an angle α = 35° with edge a and an angle β = 66° with edge b. - Rail turn
The curve radius on a railway line is 532 m. The length of the rail track along this curve is 818 m. What is the angle ASB in degrees, where A and B are the endpoints of the curve and S is the centre of the arc? - ŽSR
Calculate fixed annual personnel costs of operating monorail line 143 km long if every 5 km is a station that serves three people - one dispatcher and two switchmen in 4-shift operation. Consider the average salary of the employee 884 euro. - Salary
Calculate the equivalent annual salary to an hourly wage of $ 15. Assume a 33-hour workweek. - Web server
Calculate how many average minutes the web server is unavailable a year if the availability is 99%. - Pool
Water flows into a pool through two inlets and fills it in 5 hours. If the first inlet alone takes 5 hours longer than the second inlet alone, how long does each inlet take to fill the pool on its own? - Coin
How many 5-cent coins must be placed in a row so that an identical coin, when rolled along the tops of the coins in the row, completes exactly one full rotation? - Triangle
Calculate the area of right triangle ΔABC if one leg has length 12 and the angle opposite to it is 47°. - Wiring
A conduit has a cross-section of 54 mm². Is it possible to fit 6 conductors each with a cross-section of 6.7 mm² inside it? - Wheat
A rectangular field with dimensions 529 m × 1001 m yielded 2780 quintals of wheat last year (1 quintal = 100 kg). During the year, a pipe had to be repaired, which meant that a strip 4 m wide parallel to the side of length 1001 m could not be used for gro - Blood
In the human body, the blood is about 7.3% body weight. How many kilograms of blood are in the human body with a weight of 91 kg? - River
Calculate the average gradient in per mille of river Hudson, given that along a 952 km section the water flows from 1231 m above sea level down to 131 m above sea level. - Cube
The cube weighs 11 kg. How weigh is a cube of the same material if its dimensions are 3-times smaller? - Fraction
For what x expression (x²-64)/(10x² -80x) equals zero? - Tippler
Bottle with cork cost 6.6 Eur. The bottle is 0.6 euros more expensive than the cork. How much are a bottle and the cork? - Compare II
Which of the numbers 710 and 107 is greater? - Fixed expenses 2013
Since 2013, the Slovak government has had plans to tax more small one-person businesses. Instead of fixed expenses, 40% will be fixed expenses 40% of gross income up to 420 Eur. Calculate the percentage of fixed expenses that will be paid in 2013 from gro - Mast
A mast casts a shadow of length 16 on a slope that rises from the base of the mast in the direction of the shadow at an angle of 9.7°. Determine the height of the mast if the sun is at an angle of 40°48'° above the horizon. - Sea
How far can you see from the top of a ship's mast that is 9 metres above sea level? (The Earth's radius is 6370 km km.) - Equator
Suppose a tourist walked all the way around the Earth along the equator. How many more metres would the tourist's hat travel than the soles of their shoes? The radius of the Earth is 6378 km, and the tourist's height is 1.7 m.
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