Maths practice for 14 year olds - page 55 of 376

Number of problems found: 7507

Metro train increase
In the metro, trains run in one direction at the same speed and the same intervals. Yesterday, there were 24 trains throughout the day. More trains will run today, as the time interval between trains will be shorter by 20%. How many more trains will there
Loan interest payment
You borrowed €2000 for 3 months. What amount must you pay back if the lender charges a 15% interest rate per annum?
Sweater discount price
The purchase of a sweater after a 28% discount was CZK 360. How much was the shirt before the discount?
Body glycerol volume
They will calculate the volume of a body that stretches the force gauge in the air with a force of 80N. After immersion in glycerol with a density of 12 kg. m-3 is a load cell stretched by a force of 30N.
Hotel theft suspicion
At the time of the theft, there were 96 people in the hotel; 61 were beyond suspicion. Of the 47 employees at the hotel, 23 are beyond suspicion. How many guests are not beyond suspicion?
Interest rate months
Calculate the interest rate if the principal amount of 500 is 5 euros in interest in 5 months.
Monogram letter combinations
Calculate how many different monograms (short name and surname) I can make from the letters A, E, M, Z, and K. a) with repetition: b) without repetition:
Position of digits
Find a number with six digits. If you put the last digit before the first, you get a new number that is five times larger. The digits between must not change their position.
Sapling species percentage
Volunteers planted saplings in the forest nursery; spruces made up 55% of all saplings; one-third were edible, and the rest were young pines. How many saplings did they plant if the number of saplings was greater than 1060 and less than 1090?
Reward ratio division
Three friends split the reward in the ratio of 3:5:7. One of them received exactly €49. How many euros did they get together?
Gear wheel rotation
Two gears mesh together. The larger wheel has 56 teeth, and the smaller wheel has 20 teeth. How many times does the smaller wheel turn if the larger wheel turns 15 times?
Log ratio division
A log 88 cm long is divided into 3 parts in the ratio 3: 2: 5. How big is each part?
Staircase railing length
How long is the staircase railing with 17 steps if the step is 32 cm deep and 14.5 cm high? The last step does not count.
Wall brick count
How many bricks are needed to build a wall that is 12 m long, 1.6 m high, and 47 cm wide if the dimensions of the brick are 30 x 15 x 7.5 cm and 5% of the wall volume is mortar?
Plane sound echo
A plane flying at 612 km/h speed sent a sound signal. In front of the aircraft (in the direction of flight), there is a fixed object at a distance of 3 km, from which the sound is reflected back to the plane. How long will it take the pilot to hear the ec
We randomly
We randomly select a three-digit number. What is the probability that the number 8 occurs at most once in its notation?
Team time percentage
All three team members took turns fulfilling the competition task without delay. The first member used up 30% of the total competition time. The second needed 10 minutes more than the first, and only 10 minutes remained for the third. What % of the total
Triangle tangent area
The tangent of the angle formed by the adjacent sides of the triangle ABC (side a=29 m, b = 40 m) equals 1.05. Calculate the area of that triangle.
Inscribed cube
A cube is inscribed in a sphere with a radius of 27 cm. Calculate its volume and surface area.
Mobile price increase
The mobile was increased by a quarter of the original price and then again by a quarter of the new price. How much did the mobile cost if its final price was 125 euros?

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