Maths practice for 14 year olds - page 154 of 379
Number of problems found: 7575
- Construct diagonals
The point B is a vertex of rectangle ABCD. The diagonal BD of this rectangle lies on the line p. Point X is an interior point of side AD of rectangle ABCD, and point Y is an internal point of side CD. Construct the missing vertices D, A, and C of the rect - Non-repeating 30101
1. How many different options are there for exchanging a ten-euro bill with one-euro, two-euro, and five-euro bills? a) 5 b) 8 c) 14 d) 10 2. How many non-repeating three-digit numbers can be written using odd digits? a) 999 b) 225 c) 60 d) 25 - A dodecagon
Find the surface area of a regular 12-sided polygon if its side is a = 12 cm. - Vertical rod
The vertical one-meter-long rod casts a shadow 150 cm long. Calculate the height of a column whose shadow is 36 m long simultaneously. - Kilometers 30021
The first group of tourists left the hut at 8:00 AM at a speed of 4 km/h. The second group of tourists followed them half an hour later at a speed of 6 km/h. How long and how many kilometers from the cottage will it catch up with the first group? - Inscribed and described circle
Find the radii of a circle inscribed and circumscribed by a regular pentagon whose side measures 3 cm. - Consumption 29991
What kind of petrol consumption in liters of 100 km did the car have when driving in the city if it consumed 34 liters of petrol and drove 388 km?
- Calculation 29971
Cylinder height and radius calculation The rectangle ABCD | AB | is given = 8 cm, and | BC | = 4 cm. Determine the height and radius of the cylinder created by rotating the rectangle around the line AB. - Block-shaped 29941
Please calculate according to Pascal's law. Kerosene in a block-shaped metal tank reaches a height of 180 cm. Calculate the force acting on the bottom with dimensions of 1.5m and 3m if the density of kerosene is 820kg per M3. - Pascal's law
Please calculate according to Pascal's law. Krupp's machines were known for their large size. In 1861, the inventor put a blacksmith's steam hydraulic press into operation in Essen. What was the cross-sectional area of the larger piston if a compressive f - Calculations 29911
Calculations according to Pascal's law. A boiler with an internal wall area of 3.4 m² will be tested at a pressure of 0.9 MPa. Calculate the total compressive force acting on the boiler walls. - Magnitude 29891
The triangle ABC is the magnitude of the inner angle α 12 ° smaller than the angle β, and the angle γ is four times larger than the angle α. What size are these interior angles in the triangle? - Connecting 29841
There is a horizontal distance of 9 km between two cities on the Croatian coast. The road connecting these two cities has a climb of 13 permille. What is the height difference between Croatian cities? - Father and son
When I was eight years old, my father was 30 years old. Today, my father is three times more than me. How old am I? - Interest 29731
How much interest will the savings bank credit to the deposit of CZK 25,000 in 1 year at an annual interest rate of 2.5%?
- Soccer balls
Pupils in one class want to buy two soccer balls together. If each of them brings 12.50 euros, they will miss 100 euros; if each brings 16 euros, they will remain 12 euros. How many students are in the class? - Therefore 29661
Věra wants to welcome her friend Nada, who will arrive by train at 8:22 AM. Therefore, he leaves home 1.2 km from the station at 8:00 AM and travels at a speed of 3.6 km/h. Will he arrive on time? - Powerful 29651
The first machine can sow a field in 12 hours. The second, more powerful machine in 8 hours. How many hours was the field sown if workers deployed both machines, but the second machine started working 2 hours later than the first machine? - Natural fertilizer
The gardener fertilized the rectangular garden measuring 120m and 60m with 16kg of natural fertilizer. Natural fertilizer contains 45% organic matter. How much organic matter falls on 1 m² of the garden? - Journey to spa
Mr. Dvorak took his wife to the spa, and the journey took 3.5 hours. On the way back, he drove 12 km/h faster and was home in 3 hours. At what speed did he go to the spa, and at what speed did he return?
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