Maths practice for 14 year olds - page 193 of 376
Number of problems found: 7509
- Age problems
A) Alex is three times as old as he was two years ago. How old is he now? b) Three years ago, Casey was twice as old as his sister. Now, he is five years older. How old is Casey? c) Jessica is four years younger than Jennifer now. In 10 years, Jessica wil - Subtract 10001
For five whole numbers, if we add one to the first, multiply the second by the second, subtract three from the third, multiply the fourth by four, and divide the fifth by five, we get the same result each time. Find all five of the numbers that add up to - Area of a rectangle
Calculate a rectangle area with a diagonal of u = 12.5cm and a width of b = 3.5cm. Use the Pythagorean theorem. - Kilometers 9941
Petra got so excited about the cycling race that he started training every day. He notices that he travels 10 km in as many minutes as his average speed in kilometers per hour. His last training route was 50km. How long did it take him to cross it? - Right pyramid
A right pyramid on a base 4 cm square has a slanted edge of 6 cm. Calculate the pyramid's volume. - Isosceles 9881
The area of an isosceles right triangle is 32 cm square. What is his circuit? - Much-expected 9871
The train travels at an average speed of 75 km/h. According to the timetable, he should be at the station in 11 minutes, but he still has 20 km to go. How much-expected delay will appear on the station information board?
- Camel and water
84% of the camel's weight is water. After drinking, its weight increased to 832 kg, and water accounted for 85% of its weight. How much did it weigh before drinking? - Circumference 9811
Kristýna chose a certain odd natural number divisible by three. Jakub and David then examined triangles with a circumference in millimeters equal to the number selected by Kristýna and whose sides have lengths in millimeters expressed by different integer - Interest 9791
From € 800 for six months at an interest rate of 7.5% per annum; and - simple interest b - compound interest - Monkeys 9751
Two monkeys were sitting on a tree, one at the top and the other 10 cubits from the ground. Both wanted to drink from a spring that was 40 cubits away. One monkey jumped to the spring from the top and flew the same path as the other monkey. How long did t - Triangle's 9731
Solve the triangle ABC if the side a = 52 cm, the height on the other side is vb = 21 cm, and the triangle's area is S = 330 cm². - Different 9711
A new bus route network was built. There are three stops on each line. In addition, every two lines either do not have a common stop or have only one common stop. What is the largest number of tracks there can be in a town if we know there are only nine d - Calculate sides
In the triangle, the side length AB = 6 cm, the height to side c = 5 cm, and the angle BCA = 35°. Calculate sides a b. - Northeasterly 9681
A military unit marches in a northerly direction from point A to point B, 15 km away. From place B, it goes 12 km in a northeasterly direction to place C. Determine the direct distance of cities A and C and certainly the deviation -alpha- by which the uni
- Two water containers
There are 200 m³ of water in the first container, and in the second, 40 m³. The first container will flow down at a rate of 10 m³ water per hour. At the same time flows at the second rate of 5 m³ per hour. After how many hours will there be three times le - The devils
The devils weighed in hell with Dorota. They found that Dorota and the two devils weigh 250 kg together, and Dorota and the four devils weigh 426 kg. All the devils weigh the same. How Much Does Dorota Weigh? - Complaining 9611
Ondra, Mathias, and Kuba are returning from collecting nuts. They have a total of 120. Mathias complains that Ondra has the most, as always. The father orders Ondra to sprinkle it on his Mathias so that the number of nuts doubles. Now Cuba is complaining - Three-digit 9601 Majka researched multi-digit numbers, in which odd and even numbers alternate regularly. Those who start with an odd number are called comics, and those who start with an even number are called cheerful. (For, number 32387 is comic, and number 4529 is hil
- Two rectangles 2
A square area of 36 cm² is cut out to make two rectangles - A and B. The area's ratio A to B is 2:1. Find the rectangles A and B dimensions.
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