Maths practice for 14 year olds - page 37 of 378
Number of problems found: 7560
- Diagonal 2
What is the area in square meters of a rectangular garden whose diagonal is 50m long and the width of the garden is 27m? Round the result to the nearest whole number. - Acceleration of a car
What was the initial speed of the car when, after accelerating 2 m/s², it gained a speed of 30m/s in 10 seconds? - Acceleration - free fall
How long will it take for a car to reach 180 km/h with an acceleration of 10 m/s²? - Rhombus - ratio
In a rhombus, the ratio of the side to the height to this side is 4 : 1, if its area is 49 cm². Calculate the size of the side and the height to this side. - Swimming pool 5
There are 5500 men, women, and children at the swimming pool. There are twice as many women as men and four times as many children as women. How many men, women, and children are there at the swimming pool? - Hypotenuse 84015
In a right triangle ABC, the hypotenuse c = 8 cm and the side b = 4 cm. What is the size of angle α? - What is 19
What is the length of the hypotenuse c of a right triangle ABC if the angle α at vertex A is 30° and the hypotenuse a = 3cm?
- In a right-angled 15
In a right-angled triangle ABC with hypotenuse c, the length of the side b = 4.5 cm and tan α = 2/3. What is the length of the side a? - Hypotenuse of ABC
In a right triangle ABC with hypotenuse c, the hypotenuse a = 6 cm and sin α = 3/5. What is the length of the hypotenuse b? - Four-digit - sum
A four-digit number has a digit sum of 20. The sum of its last two digits is equal to the second digit increased by 5. The sum of the outer digits is equal to the second digit decreased by 3. If we write the digits of this number in reverse order, the num - Target - shooting
A shooter hits the target with a probability of 78%. Determine the probability that, in a competition where 3 shots are fired in a row, he misses only the first shot. Round the result to two decimal places. - Two resistors 5
Two resistors are connected in parallel. The first resistor has a resistance of 2000 ohms and a current of 4 mA flows through it. The second resistor has a resistance of 1600 ohms. 1/Draw a circuit diagram 2/Determine the voltage of the power source. 3/Wh - To the city
A bus leaves for a city 54 km away at an average speed of 15 m/s. 12 minutes after the bus leaves, a motorcycle leaves from the same place to follow it. Calculate the average speed of the motorcycle when it arrives at the destination at the same time as t - Tractor 17
The tractor has an average speed of 2.4 km/h in the first minute of starting, 3.6 km/h in the second and third minutes, and 5.0 km/h in the fourth to sixth minutes. What movement did it make during the first six minutes of driving? Determine the average s - Isosceles
A flower bed has the shape of an isosceles triangle with a base of 25m and sides of 30m. Calculate the maximum number of flowers that can be planted in this bed, assuming that one flower requires about 8 dm² of square area. Round the result to the nearest
- Laboratory
In the laboratory, twelve liters of 80% prepared 40% alcohol were diluted to a final 70% alcohol. A five-liter barrel of 40% alcohol was available. How much will remain in the barrel of 40% alcohol? - Interest 83990
The deposit is €1000. The interest is 7.36% per year. What is the amount after 3 years and 9 months? - Equilateral cone
A cup has the shape of an equilateral cone (side “s” is the same size as the diameter of its base - the axial section is an equilateral triangle) It is supposed to hold 0.2 liters of liquid at a level 1 cm below the rim. Calculate its diameter - Lampshade 3
The lampshade has the shape of a rotating cone shell with a side of 32 cm and a base diameter of 46 cm. Calculate the paper consumption for its production if you assume that the waste will be 6% - Arbor
Calculate in square meters the area of an arbor whose ground plan is in the shape of a regular hexagon with a side length of 4.5 m.
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