Maths practice for 14 year olds - page 226 of 368

Number of problems found: 7347

Acceleration 7123
The car starts to brake with an acceleration of -6.5 m/s² and stops on the track at 45m. What were the initial speed and braking time?
Driver
The car driver drove at 100 km/h saw the obstacle and began braking with a slowing of 5 m/s². What is the pathway's length to stop the car when the driver has registered the obstacle with a delay of 0.7 seconds?
Drying herbs
Herbs lose 75% of weight by drying. How many fresh herbs do you have to collect if you want to make 1.5 kg of dried herbs?
Brakes of a car
For the brakes of a passenger car to be effective, it is prescribed that a car be moving on a horizontal road at a speed of 40 km. A car must stop on the track 15.4 m. What is the deceleration of the car?
Distance problem
A=(x, x) B=(1,4) Distance AB=√5, find x;
Winery
The wine processing plant sold 8/15 of its total wine production to the domestic market and 2/7 to foreign the rest of the wine. How many percents are still in stock?
Days2minutes
Write a formula that converts x days to y minutes. The formula is:
Deposited 7096
Mr. Novák deposited CZK 50,000 a year in the bank at an annual interest rate of 4%. How much will pre-tax interest be after one year?
Age
In 1960, my age was equal to the digits sum of the year of my birth. What is my age now?
Interested 7090
We call a natural number N bombastic if it contains no zero in its notation and if no smaller natural number has the same product of digits as the number N. Charles first became interested in bombastic prime numbers and claimed that there were not many of
Diagonals 7084
Calculate the lengths of the wall and body diagonals of the cube with an edge length of 10 cm.
Cube diagonals
The cube has a wall area of 81 cm square. Calculate the length of its edge, wall, and body diagonal.
Rectangular 7082
The rectangular flowerbed has dimensions of 20m and 10m. How many steps will you save if you walk along its diagonal instead of walking along its two sides? Honors with a stride length of 60cm.
Twenty-nine 7081
Twenty-nine people lost bread rolls. Eighteen people tasted the cake. Thirty-two people offered themselves drinks. Seven people had a drink with cake. Eighteen people had bread and a drink. Eight people had bread and cake. Five people offered themselves t
Square
Calculate the area of the square shape of the isosceles triangle with the arms 50m and the base 60m. How many tiles are used to pave the square if the area of one tile is 25 dm²?
Brakes
The braking efficiency of a passenger car is required to stop at 12.5 m at an initial speed of 40 km/h. What is the acceleration braking by brakes?
Two cars 6
Two cars leave the same place one after the other 15 seconds apart. Both are moving with uniform acceleration and zero initial velocity, the first car with an acceleration of 0.5 m/s², and the second car with an acceleration of 2 m/s². Determine a) the ti
Acceleration 7074
A ball placed on an inclined plane begins to move and reaches a speed of 1 m/s in 5 s. Assuming that the ball's motion is uniformly accelerated, determine the magnitude of its acceleration and the distance it travels in the given time.
An acceleration
The car goes on a straight road at a speed of 72 km/h. At some point, the driver starts to brake and stops the car in 5 seconds. Find: (a) the acceleration during braking and (b) the distance traveled during braking.
Acceleration 7071
A tractor travels along a straight road at a speed of 15 m/s. The tractor driver starts braking with an acceleration of 2 m/s². Specify a) the magnitude of the speed and the path of the tractor in 5 s from the moment it started to brake b) the time for wh

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