Maths practice for 14 year olds - page 215 of 368
Number of problems found: 7346
- Tributaries 7630
The polder has two tributaries. A larger inflow will fill an empty polder in 12 hours. The polder is already a quarter full. If we open both tributaries, the polder will be filled in 6 hours. How long would it take for a smaller inflow to fill an empty po - Three-fifths 7629
The sum of the two numbers is 46. It holds that two times the first is one greater than three-fifths of the second. What are the numbers? - Friends 7624
Five friends want to sit on one bench. How many ways can this be done if one of them always sits in the middle of the bench? - Workshops
The first workshop will complete the robot itself in 15 days, and the second workshop in 10 days. They started together, but only the second workshop worked after three days. Thus, the work will take 15 days. - Vertices of a right triangle
Show that the points D(2,1), E(4,0), and F(5,7) are vertices of a right triangle. - Collection of stamps
Jano, Rado, and Fero created a collection of stamps in a ratio of 5:6:9. Two had 429 stamps together. How many stamps did their shared collection have? - Red cubes
There are 15 white and several red cubes in the box. The probability of accidentally pulling out a white cube is 20%. How many red cubes are in the box? - Participate 7616
Two hundred fifty students were to participate in the discussion on the dangers of drugs. 8% of them did not participate in the debate. How many students were in the discussion? - Mushrooms
Grandfather gathered fresh mushrooms. The fifth was wormwood, and we threw it away. The other dried up. He obtained 720 grams of dried mushrooms. How many kilograms did the grandfather collect, and they lost 75% of their weight by drying the mushrooms? - Two pipes
How long will the pool be filled with a double supply pipe if it takes the pool to fill the first pipe by 4 hours long and the second pipe 9 hours longer than both pipes open simultaneously? - Cuboidal room
The length of the cuboidal room is 2m the breadth of the cuboidal room is 3m and height is 6m find the length of the longest rod that can be fitted in the room - There
There are two numbers on the screen - one in the blue and the other in the red box. In the beginning, both numbers are the same. With each beep, both numbers increase - by 1 in the blue field and by 3 in the red field. At one point, the number 49 appears - Two-digit 7607
The digit sum of a two-digit number is 11. After changing the order of the digits, I get a number 27, smaller than the intended number. What number do I think? - Together 7606
Jana and Dana have saved 220 crowns together. Jana spent a fifth of her savings, and Dana spent a quarter. Then, they had a total of CZK 150 left. How much have they saved? - Depth angle
From a cliff of 150 meters high, we can see the ship at a depth angle of 9° at sea. How far is the ship from the cliff? - Two airports
Two airports are 2690 km away. From the first airport, the airplane flies at a speed of 600 km/h, and from a second airplane at a speed of 780 km/h. When will they meet if they fly at 10:00? How far from the first airport? - Two cities
The car goes from city A to city B at an average speed of 70 km/h and back at an average speed of 50 km/h. If it goes to B and back at an average speed of 60 km/h, the whole ride will take 8 minutes less. What is the distance between cities A and B? - Temperature 7595
Colorless liquid weighing m = 200 g is heated with constant stirring on a stove with power input P0 = 600W. 80% of the supplied energy is used to heat the liquid. Selected measured values of liquid temperature as a function of time are recorded in the t - Diameter 7591
The pedal wheel on a bicycle has 28 teeth. The gear wheel on the rear wheel has 8 teeth. How many times does the rear wheel turn if we step on both feet 112 times? How many meters can we travel with it at least, and how much more if the rear wheel has a d - One trapezium
One trapezium has AB=24M, BC=36M, CD=80M, DA=80M long sides. Find the area.
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