Math practice for 13 year olds - page 404 of 413
Number of problems found: 8253
- Triangle
Can an equilateral triangle have a right angle? - Pool
The swimming pool is 10 m wide and 8 m long, and 153 cm deep. How many hectoliters of water are in it if the water is 30 cm below its upper edge? - Lines
Five bus lines run at intervals 4, 5, 7, 11, 12 minutes. In the morning, it suddenly starts at 7:00. After how many minutes do the bus lines meet again? - Numbers
Determine the count of all positive integers less than 4064028 that are divisible by 5, 23, 2. What is their sum? - Circles
The areas of two circles are in the ratio 5:10. The larger circle has a diameter of 14. Calculate the radius of the smaller circle. - Climb
A road has a gradient of 1:26. What angle of inclination does this correspond to? - Pentagon
Calculate the area of a regular pentagon whose diagonal has length u = 18. - Compass
What is the angle between compass directions J (Juh) and ZSZ (ZápadoSeveroZápad)? - Gear
Two meshing gears have a gear ratio of 1:2. The distance between their centres is 96 cm. What are the radii of each gear? - Tinsmith
A tinsmith constructs a chimney pipe 186 cm long and 16 cm in diameter. The pipe is made from a flat sheet with an overlap of $x cm at the seam. What dimensions must the sheet have? - Cubes
The surface areas of two cubes, whose edges differ by 42 cm, differ by 16128 cm². Determine the edge length of each cube. - Free fall
Pavel fell from a height of 9 m. Calculate the speed at which they hit the ground, given a gravitational acceleration of g = 9.81 m/s². - Subway
A subway train accelerated uniformly for 26 seconds, reaching a speed of 72 km/h. It then travelled at this speed for 56 seconds, before decelerating uniformly to a stop in 16 seconds. What was the distance between the stations? - 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?
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