Maths practice for 14 year olds - page 38 of 369
Number of problems found: 7362
- 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. - Out of 124
Out of 124 students, 68 students went on at least one of the two trips. 82 students did not go on the first trip, and 63 students went on just one trip. How many students went only on the first trip, and how many students went on the second trip? - Chord and radius
Calculate the radius of a circle whose chord XY is 8 cm long and whose center is 3 cm from the chord. - Timetable
If a train traveling between two cities increases the speed specified in the timetable by 5 km/h, it will arrive 20 minutes earlier. If it decreases it by 5 km/h, it will arrive 25 minutes later. How long is the route between the cities? - Rhombus 47
A rhombus has a side length of 5 m and a longer diagonal length of 8 m. What is the length of the shorter diagonal of the rhombus? - To a wholesaler
A farmer sold 10% of last year's corn crop to a wholesaler and a third of the rest to small buyers. He stored the remaining 270 tons of corn. How many tons of last year's corn crop did he sell? - Regular 4BH
A regular quadrilateral prism has a volume of 864 cm³ and the area of its surface is twice the area of its base. Determine the size of its body diagonal. - PT - Pythagorean
A right triangle ABC has hypotenuse c and legs a, and b of the following lengths. Estimate the length of its remaining side and compare your estimates with your calculations. a) a = 4 cm; b = 5 cm b) a = 6.8 m; b = 9 m c) a= 8.9 m; b = 1 m d) b= 10 cm; c - In a right triangle 13
The height of the hypotenuse is 4.8cm. The hypotenuses are in the ratio 4:3. Calculate the perimeter and area of a triangle.
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