Maths practice for 12-year-olds - page 355 of 362
Number of problems found: 7225
- Purchase
Three buyers paid € 468. The first paid 3-times more than the second, and the third half over the second. How many euros were paid to each of them? - 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 3, 6, 9, 12, 15 minutes. In the morning, it suddenly starts at 4:00. After how many minutes do the bus lines meet again? - Numbers
Determine the number of all positive integers less than 5965074 if each is divisible by 5, 29, 11. What is its sum? - Midpoints
Triangle whose sides are midpoints of sides of triangle ABC has a perimeter 83. How long is the perimeter of the triangle ABC? - The Cats and Mice Problem
Two cats caught two mice in two days. How many mouses will catch 10 cats for 10 days?
- Compass
What angle is between directions J (Juh) and ZSZ (ZápadoSeveroZápad) on the compass? - Balance
The rod is 4.3 m long, hanging weights 9 kg and 15 kg on ends. Where is the center of the rod (distance from weight 9 kg) to be in balance? - Gear
Two gears fit into each other and have a transfer of 1:2. The centers of gears are spaced 96 cm. What are the radii of the gears? - Cubes
Surfaces of cubes, one of which has an edge of 48 cm shorter than the other, differ by 36288 dm². Determine the length of the edges of these cubes. - Subway
The Subway train went between two stations that gradually accelerated for 26 seconds and reached a speed of 72 km/h. At this rate, it went 56 seconds. Then 16 seconds slowed to a stop. What was the distance between the stations? - Rail turn
The curve radius on the railway line is 532 m. The length of the rail track on it is 818 m. How many degrees is the angle ASB if A and B are boundary points and S is the center of the arc curve? - 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.
- Chocolate
How many times do we have to break a chocolate bar composed of 10 × 12 pieces to get the 120 parts? - Washer
The washing machine drum washes at 64 RPM. The washing machine motor pulley has a diameter of 6 cm. What must be the diameter of the drum machine pulley when the motor is at 367 RPM? - Cube
The cube weighs 11 kg. How weigh is a cube of the same material if its dimensions are 3-times smaller? - Water
Into a full cylindrical tank high 3 m with a base radius of 2.5 m, we insert a cuboid with dimensions 1.7 m, 1.3 m, 1.9 m. How many liters of water will overflow out? - Expression
If it is true that (l + 15 w)/(w) = 6, then the value of the expression (13 l)/(12 w) is:
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