Maths practice for 14 year olds - page 53 of 375
Number of problems found: 7497
- Angular velocity
Determine the difference in angular velocities of the clock hands. [rad/s] ω of clock hands =? ω minute hands =? ω second hands =? - Diagonal of a cube
Calculate the volume of a cube with a wall diagonal of u = 20 cm. - Rectangle perimeter ratio
The sides of the rectangle are in the ratio of 5 : 8. Its perimeter measures 208 cm. Determine the area of this rectangle. - Stipend double increase
University students increased their stipend by 20% and then again by 10%. Now he gets 99 euros. What was his original scholarship? - Flag color combinations
How many 4 colored flags can be made from 5 colors so that each flag consists of three different colors? - Motorcycle acceleration time
Motorcyclist Arnošt begins to move on his motorcycle in a uniformly accelerated motion with an acceleration of 1.6 m/s². At what time will it reach a speed of 50 km/h? What distance will it travel at this time? - Number sum puzzle
I think of three numbers. When I add them, I get 15. When I subtract the third number from the sum of the first two numbers, I get 10. When I subtract the second number from the sum of the first and third numbers, I get 8. What number do I think? - Class boy girl
If 3 boys were added to the eighth grade, 50% of the class would be boys. If, on the other hand, 3 girls were added, they would make up 7/12 classes. How many children are there in the class? - Grain flour grinding
We get 80 percent flour by grinding grain. How much grain do we need to grind to get 400 kg of flour? - Product price reduction
If I reduce the price of the product by 40%, this price will be 60% lower than if I increased the price of this product by 720 euros. What was the original price of the product? - Triangle perimeter area
What are the sides of a right-angled triangle with a perimeter of 45 centimeters and a volume of 67.5 cm²? - Lamp cone shell
The lamp shade should be formed by the shell of a cone with a base diameter of 48 cm and a side of 32 cm. Calculate how much material will be needed to make it, assuming 8% waste - Sailor food supply
Food for 56 sailors would last 32 days. How long did the food supplies last the expedition if 14 castaways were taken on board after 12 days of sailing? - Logger field clearing
Fifteen loggers would take 12 days to clear a large field. How many days did this work require, if 5 more woodcutters were transferred to them after 4 days of work? - Mason house addition
8 masons build a house in 630 days. How many masons must we add after 150 days to complete the whole house in 320 days? - Grinder workshop production
Five grinders grind 120 products in 12 hours. After 4 hours of work, another 11 grinders were reassigned to the workshop. Will he complete the entire job in 6 hours? - Scout troop increase
Last year, there were 30 more boys than girls in our scout troop. This year, the number of children in the ward increased by 10%, while the number of boys increased by 5% and the number of girls increased by 20%. How many children do we have in the depart - Swimmer pool meeting
The pool is 50m long. The first swimmer swims across it in the 60s and the second in the 40s. Both start at the same time and on the same side. The faster swimmer turns around at the end and swims back. When will he meet the slower swimmer? Swimmers move - Die roll probability
If we roll one die, what is the probability of rolling a number other than 1? - Office cable cross-section
In the office will be connected: computer 800 W, kettle 2.5 kW, lighting 650 W, oven 1.9 kW; electric stove 3.3 kW; air conditioning 6100 W. As the smallest cross-section of the cables, we have to bring them to this room. Recalculate for Copper and Alumin
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